Chapter 9 Making Capital Investment Decisions

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Chapter 9 Making Capital Investment Decisions

9-1

The role of the financial manager is to answer these questions

9-2

What Investments Do

You Make

How Do You Finance These Investments

How Will You Manage Daily

Financial Activities

Capital Budgeting Decisions

Capital Structure Decisions

Working Capital Decisions

Making Capital Investment Decisions (Ch 9)

Investment Criteria (Ch 8)

FV and PV ndash Multiple Cash Flows (Ch 5)

FV and PV ndash Single Lump Sum (Ch 4)

Analyzing Financial Statements (Ch 3)

Financial Statements and Cash Flow (Ch 2)

Goal of Financial Management (Ch 1)

9-3

Blue Hen Brewery has developed a new style of beer that they think will be a big seller in the marketplace Higher alcohol content 16 ounce cans vs 12 ounce bottles

We need to determine whether or not this investment will increase shareholder value

9-4

Cash flow estimates are the starting point in analyzing an investment The cash flows were simply given to us in Chapter 8

We now need to understand where these cash flows come from And determine which cash flows should be considered in

the investment decision

9-5

Understand how to determine the relevant cash flows for a proposed investment

Understand how to analyze a projectrsquos projected cash flows

Learn how to evaluate an estimated NPV Scenario analysis Sensitivity analysis

9-6

Relevant Cash Flows

9-7

Once a company decides to take on a new investment project their cash flows are going to be different If the Blue Hen Brewery takes on this new product

line their cash flows will be altered

The challenge for the Finance manager is to determine if the change in cash flows that result from the investment will increase the shareholder value

9-8

9-9

Incremental Cash Flows for a Project

Relevant Cash Flows

Include only cash flows that will only occur if the project is accepted Incremental cash flows

The stand-alone principle allows us to analyze each project in isolation from the firm simply by focusing on incremental cash flows

In general it is easy to determine cash flows that are directly linked to the investment project under consideration Incremental revenue from the new product (eg

sales of the new beer) Incremental costs from the new product (eg

brewing ingredients packaging marketing)

There are however some situations where it can be difficult to determine if cash flows are or are not relevant

9-10

Relevant

bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter tax salvage value

Not Relevant

bull ldquoSunkrdquo costsbullFinancing costs

9-11

The most valuable alternative that is given up if a particular investment is undertaken

If the project being considered is using an asset that has alternative uses and value then it is a relevant cash flow

9-12

Opportunity Cost

For the new Blue Hen Brewery beer being considered the plan is to use an older brewery building that was purchased years ago for $100000 and after depreciation is currently on their books for $40000

Should this be considered in the cash flow analysis for evaluating the new higher-alcohol product for Blue Hen Brewery If so what is the relevant cash flow amount

9-13

Which of the following is correct with respect to how to treat the old building that will be used for the new Blue Hen Brewery productA Since it is currently not being used it should be viewed as

ldquofreerdquo and have no impact on the cash flow for analyzing the new investment opportunity (ie this is a sunk cost)

B The cash flow impact to the project should be $100000 since this is what the building cost years ago

C The cash flow impact to the project should be $40000 since this is what the book value of the building currently is

D None of the above

9-14

The opportunity cost is what the building and land could be sold for (ie the current market value of the building) This is the most valuable alternative that is given up if a

particular investment is undertaken So if the building could be sold for say $75000 then it

is this amount of $75000 that is a relevant cash flow in the investment decision

9-15

9-16

When a company launches a new product there could be ldquospilloverrdquo impacts on the sales of existing products Known as ldquoside effectsrdquo Can be positive ndash the new product increases the

sales of existing products Can be negative ndash the new product decreases

the sales of existing products (called ldquoerosionrdquo)

The cash flow of a new project that comes at the expense of a firmrsquos existing projects

Also known as ldquoproduct cannibalizationrdquo

9-17

Erosion

There are many very loyal customers of Blue Hen Brewery that drink only Blue Hen beer products

Some of these customers will buy the new higher-alcohol products instead of buying existing Blue Hen Brewery products This new product will ldquoeroderdquo or ldquocannibalizerdquo existing

product lines

This is a relevant cash flow impact that should be considered in the investment analysis for the new product

9-18

Thrill Rides is considering adding a new roller coaster to its amusement park The addition is expected to increase its overall ticket sales In particular the company expects to sell more tickets for its current roller coaster and experience extremely high demand for its new coaster Sales for its boat ride are expected to decline but food and beverage sales are expected to increase significantly All of the following are side effects associated with the new roller coaster with the exception of the

A Increased food sales

B Additional sales for the existing coaster

C Increased food costs from the higher food sales

D Reduced sales for the boat ride

E Ticket sales for the new coaster

9-19

9-20

Net working capital is Current Assets minus Current Liabilities

Current Assets Current Liabilitiesbull Cashbull Accounts Receivablebull Inventory

bull Accounts Payable

Most investment projects will impact a firmrsquos working capital Accounts receivable and inventory would increase to

support higher sales levels Accounts payable would likely increase as inventory

increases

These cash flows donrsquot appear on the income statement due to the GAAP matching principle Sales recorded when made not when cash is received Cost of goods sold recorded when sales are made

whether suppliers paid yet or not

9-21

In general most projects will require an investment in working capital at the beginning of the project This would need to be captured in the cash flow analysis

(as a cash outflow) at the time of launch or in the first year

At the end of the project the increase in working capital would no longer be needed as inventories are sold receivables collected etc This would need to be captured in the last year of the

project as a cash inflow from the release of working capital

9-22

We need to consider the tax impacts of all cash flows

Incremental cash flows are meant to be after-taxincremental cash flows

Which tax rate is most relevant for after-tax cash flowsA Marginal tax rateB Average tax rate

9-23

Many projects will require an investment in long-term assets at the beginning of the project This would need to be captured in the cash flow

analysis (as a cash outflow) at the time of launch

At the end of the project if there is value in this fixed asset the after-tax salvage value needs to be determined

9-24

If the salvage value is different from the book value of the asset then there is a tax effect which impacts cash flows

9-25

After-Tax Salvage

Salvage Amount= Tax rate [Salvage

Amount ndash Book Value]-

Book Value Initial Cost= - Accumulated

Depreciation

Straight-line depreciationD = (Initial cost ndash salvage) number of yearsStraight Line rarr Salvage Value

MACRS (Accelerated Depreciation)Depreciate rarr 0Recovery Period = Class Life12 Year ConventionMultiply percentage in table by the initial cost

9-26Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

You purchase a new piece of equipment for $100000 to be used in a project that will last 4 years If it is depreciated on a straight-line basis over 5 years what is the book value after 4 years

A $80000B $75000C $25000D $20000E $0

9-27

If you then sell this fixed asset at the end of the project (after 4 years) for $20000 what is your after-tax salvage value (Assume a 30 tax rate)

A $26000B $20000C $14000D $80000E $0

9-28

If you then sell this fixed asset at the end of the project (after 4 years) for $30000 what is your after-tax salvage value (Assume a 30 tax rate)

A $39000B $30000C $27000D $21000E $0

9-29

Net Salvage Cash Flow = SP - (SP-BV)(T)

WhereSP = Selling PriceBV = Book ValueT = Corporate tax rate

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-30

This represents the tax paid on the gain or the tax benefit of the loss

Depreciation and After-Tax Salvage Car purchased for $12000 5-year property Marginal tax rate = 34

9-31

Depreciation 5-year Asset

Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

10000 1200000$

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Sheet1

Sheet2

Sheet3

Depreciation 5-year Asset

Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

10000 1200000$

Net Salvage Cash Flow = SP - (SP-BV)(T)If sold at EOY 5 for $3000

NSCF = 3000 - (3000 - 69120)(34) = $221501= $3000 ndash 78499 = $221501

If sold at EOY 2 for $4000NSCF = 4000 - (4000 - 5760)(34) = $459840

= $4000 ndash (-59840) = $459840

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-32

What is the after-tax net salvage cash flow at end of year 5 and 2

Sheet1

Sheet2

Sheet3

A cost that has already been incurred and cannot be recouped

Therefore it should not be considered in an investment decision

9-33

Sunk Cost

The Blue Hen Brewery spent $100000 on market research and consulting fees to analyze their higher-alcohol beer product

Is this a sunk costA YesB NoC More information is needed

9-34

In Chapter 2 we learned that financing costs (eg interest expense) is a cash flow to creditors Interest expense is not an operating expense

We care only about cash flow from assets when we make investment decisions

Financing decisions are important but this is a separate question from deciding if an investment increases shareholder value or not Thus Financing costs are not a relevant cash flow in

analyzing an investment project

9-35

Relevant

bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter-tax salvage value

Not Relevant

bull ldquoSunkrdquo costsbullFinancing costs

9-36

Which one of the following principles refers to the assumption that a project will be evaluated based on its incremental cash flows

A Forecast assumption principleB Base assumption principleC Fallacy principleD Erosion principle E Stand-alone principle

9-37

A cost that should be ignored when evaluating a project because that cost has already been incurred and cannot be recouped is referred to as a(n)

A Fixed costB Forgotten costC Variable costD Opportunity costE Sunk cost

9-38

Lake City Plastics currently produces plastic plates and silverware The company is considering expanding its product offerings to include plastic serving trays All of the following are relevant costs to this project with the exception of

A The cost of additional utilities required to operate the serving tray production operation

B Any change in the expected sales of plates and silverware gained from offering trays also

C A percentage of the current operating overhead

D The additional plastic raw materials that would be required

E The cost to acquire the forms needed to mold the trays

9-39

Which one of the following terms is most commonly used to describe the cash flows of a new project that are simply an offset of reduced cash flows for a current project

A Opportunity costB Sunk costC ErosionD Replicated flowsE Pirated flows

9-40

Pro Forma Financial

Statements and Cash Flows

9-41

The process to evaluate a proposed investment is as follows

9-42

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

bull Assumptions are gathered and these serve as the basis for the pro forma financial statements

bull Incremental cash flows need to be determined Cash flow from

assets

bull Project value is determined NPV IRR PI Payback

Financial statements projecting future yearsrsquo operations Pro forma income

statement Pro forma balance sheet

Summarizes all relevant information for a project

9-43

Pro Forma Financial

Statements

Underwater Adventures Inc specializes in selling unique underwater experiences for scuba divers and snorkelers They have developed a ldquoshark attractantrdquo product to meet

this demand of customers who want to get close to sharks for better photos to post on social media

We have been asked to evaluate whether launching this product is a good idea

9-44

Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-45

9-46Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Sales (50000 units at $400unit) $200000Variable Costs ($250unit) ($125000)Gross Profit $75000Fixed Costs ($12000)Depreciation ($90000 3) ($30000)EBIT $33000Taxes (34) ($11200)

Net Income $21780

The pro forma income statement currently does not have any interest expense

Should interest expense be includedA YesB No

9-47

No interest expense is a financing expense and not a component of operating cash flow

We need to understand the cash flow impacts that result from changes in the balance sheet Investments in working capital (eg higher

inventory and accounts receivable) Investments in fixed assets (ie capital

requirements of the project) We donrsquot care about the financing aspects

of the balance sheet For the same reason we didnrsquot consider interest

expense in the pro forma income statement9-48

Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-49

9-50Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Year0 1 2 3

Net Working Capital

$20000 $20000 $20000 $20000

Net Fixed Assets

90000 60000 30000 0

Total Investment

$110000 $80000 $50000 $20000

Net Fixed Assets declines by the amount of depreciation each year

The process to evaluate a proposed investment is as follows

9-51

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

9-52

Net Income Depreciation= +

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

Operating Cash Flow= minus

Net Capital

Spending

Changes in Net

Working Capital

Cash Flow from

Assetsminus

+ Interest

Will be 0 since interest is not a

relevant cash flow

9-53

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow

A $21750B $33000C $63000D $51780E $63780

9-54

Net Income Depreciation= + If no interest expense

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

$21780 $30000= +If no interest

expense

$33000 $30000 $11220= + -Operating Cash Flow

= $51780

9-55

Year

0 1 2 3

OCF $51780 $51780 $51780

NWC -$20000 20000

Capital Spending

-$90000

CFFA -$110000 $51780 $51780 $71780

Note Investment in NWC is recovered in final yearEquipment cost is a cash outflow in year 0

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

9-56Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Pro Forma Income Statement

Cash Flows

The process to evaluate a proposed investment is as follows

9-57

Pro Forma Financial

Statements

Projected Cash Flows

Estimate Project Value

9-58

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Cash Flows

We can estimate the project value by calculation the NPV and IRR

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

9-59

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Cash Flows

Should we accept or reject the project

Acceptbull The NPV is gt 0bull The IRR is greater than the

required rate of return of 20

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

9-60

Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

Net Present Value $1064769IRR 2576

Pro Forma Income Statement

Cash Flows

OCF = EBIT + Depreciation ndash TaxesOCF = Net Income + Depreciation (if no interest)

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

A new project is expected to generate an operating cash flow of $38728 and will initially free up $11610 in net working capital Purchases of fixed assets costing $52800 will be required to start up the project What is the total cash flow for this project at time zero

A -$64410

B -$41190

C -$52800

D $25682

E $50338

9-61

The pro forma income statement for a proposed investment should include all of the following except

A Fixed costsB Forecasted salesC Depreciation expenseD TaxesE Changes in net working capital

9-62

9-63

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow (using the approaches already learned)

A $21750B $33000C $63000D $51780E $63780

9-64

Net Income Depreciation= + If no interest expense

Earnings Before Interest amp Taxes Depreciation Taxes= + -

Operating Cash Flow

$21780 $30000= +If no interest

expense

$33000 $30000 $11220= + -Operating Cash Flow

= $51780

Option 1

Option 2

The tax savings that results from the depreciation deduction

Calculated as depreciation multiplied by the corporate tax rate

9-65

Depreciation Tax Shield

9-66

(Sales ndash Costs) (1 ndash Tax Rate) = +Operating

Cash FlowDepreciation Tax Rate

Option 3

9-67

Sales (50000 units at $400unit)

$200000

Variable Costs ($250unit) (125000)

Gross profit $ 75000

Fixed costs (12000)

Depreciation ($90000 3) (30000)

EBIT $ 33000

Taxes (34) (11220)

Net Income $ 21780=======

What is the operating cash flow using the tax shield approach

9-68

($200000 -$137000) 66

+ $30000 34

= $51780

=

(Sales ndash Costs) (1 ndash Tax Rate) = +Operating

Cash FlowDepreciation Tax Rate

Which one of the following is the formula for computing operating cash flow

A Net Income + Depreciation + InterestB Net Income + Depreciation - InterestC EBIT + Depreciation - TaxesD (Sales ndash Costs) (1-Tax Rate) + (Depreciation Tax Rate)E A C and D

9-69

Evaluating NPV

Estimates

9-70

Calculating NPV is just an estimate based on the best information available The calculations could be wrong The confidence level in the analysis is a

judgment call A positive NPV suggests the project may be

worth doing But more analysis normally would be required

It is important to understand what the NPV looks like when things donrsquot go as planned

9-71

9-72

If NPV gt 0 Accept the project

Maybe accept the

project

Why maybe

9-73

What drives the NPV result

Projected future cash

flow

How do you know your projected estimates are

accurate

9-74

Forecasting Risk

We need to develop some tools to understand where potential estimate errors may exist

The possibility that errors (or poor estimates) in projected cash flows will lead to incorrect decisions

Also called ldquoestimation riskrdquo

The following tools will help assess the reasonableness of the NPV analysis

9-75

What-If Analysis

Scenario analysis Sensitivity analysis

Understand sources of value

Articulate what drives the investment to deliver a positive NPV

A positive NPV is creating value for the shareholders

We should understand what is the source of this value

9-76

Project Idea Potential Questions to Answer

New Product bull Is this new product better than the competitionbull Does this new product meet an unmet consumer need

Marketing Campaign

bull Is it reasonable that this marketing effort can increase sales as estimated

CompanyAcquisition

bull Are there sufficient synergies that can be realized to justify the purchase price

Cost Improvements

bull How realistic is it that the expected cost savings will truly materialize in the time frame noted (without unexpected negative impacts)

9-77

Scenario Analysis

The determination of what happens to NPV estimates when we ask what-if questions

Sensitivity Analysis

Investigation of what happens to NPV estimates when only one variable is changed

Scenario and Sensitivity Analysis

9-78

Examines several possible situations Worst case Base case or most likely case Best case

Provides a range of possible outcomes

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-79

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Base Lower UpperUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 5800$ 6200$ Fixed costyear 50000$ 45000$ 55000$

BASE BEST WORST

Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

Project Life 5 yearsTax rate 34Required return 12

Note ldquoLowerrdquo ne WorstldquoUpperrdquo ne Best

9-80

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

BASE WORST BESTUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 6200$ 5800$ Fixed Cost 50000$ 55000$ 45000$

Sales 480000$ 412500$ 552500$ Variable Cost 360000 341000 377000Fixed Cost 50000 55000 45000Depreciation 40000 40000 40000EBIT 30000 (23500) 90500Taxes 10200 (7990) 30770Net Income 19800 (15510) 59730 + Deprec 40000 40000 40000

TOTAL CF 59800 24490 99730

NPV 15566 (111719) 159504

IRR 151 -144 409

9-81

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Pro Forma

Considers only a few possible outcomes

Assumes perfectly correlated inputs All ldquobadrdquo values occur together and

all ldquogoodrdquo values occur together More likely to have some ldquobadrdquo values

and some ldquogoodrdquo values

9-82

Shows how changes in an input variable affect NPV or IRR

Each variable is fixed except one Change one variable to see the effect

on NPV or IRR Answers ldquowhat ifrdquo questions

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-83

Unit Sales Sensitivity

$(8226)

$15566

$39357

-2000000

-1000000

000

1000000

2000000

3000000

4000000

5000000

5500 6000 6500

Unit Sales

NPV

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-84

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity (2)

GRAPH

GRAPH

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Pro Forma

Chart3

Y
Unit Sales
NPV
Unit Sales Sensitivity
-82259060352458
155656169002312
393571398357083

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

GRAPH

GRAPH

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Pro Forma

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

Base Fixed Cost Fixed CostUnits 6000 6000 6000 Priceunit 80$ 80 80Variable costunit 60$ 60 60Fixed costyear 50000$ 55000 45000

Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

Tax rate 34Required Return 12

BASE FC FCUnits 6000 6000 6000 Priceunit 80$ 80$ 80$ Variable costunit 60$ 60$ 60$ Fixed cost 50000$ 55000$ 45000$

Sales 480000$ 480000$ 480000$ Variable Cost 360000 360000 360000 Fixed Cost 50000 55000 45000 Depreciation 40000 40000 40000 EBIT 30000 25000 35000 Taxes 10200 8500 11900 Net Income 19800 16500 23100 + Deprec 40000 40000 40000

TOTAL CF 59800 56500 63100

NPV 15566$ 3670$ 27461$

Fixed Cost Sensitivity

$27461

$15566

$3670

000

500000

1000000

1500000

2000000

2500000

3000000

$45000 $50000 $55000Fixed Cost

NPV

9-85

SHARK

DEPRC

MMCC

Scenario

Sensitivity_A

Sensitivity_A

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

Y
Fixed Cost
NPV
Fixed Cost Sensitivity

GRAPH

Pro Forma

Pro Forma

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Chart4

Y
Fixed Cost
NPV
Fixed Cost Sensitivity
274613783679698
155656169002312
36698554324927

SHARK

DEPRC

MMCC

Scenario

Sensitivity

Sensitivity

Y
Unit Sales
NPV
Unit Sales Sensitivity

Sensitivity (2)

Y
Fixed Cost
NPV
Fixed Cost Sensitivity

GRAPH

Pro Forma

Pro Forma

UNITS
FC
UNITS
Fixed Cost
Change in NPV
NPV
Sensitivity Analysis

Strengths Identifies dangerous variables Gives some breakeven information

Weaknesses Says nothing about the likelihood of

change in a variable Ignores relationships among

variables

9-86

Neither provides a decision rule No indication whether a projectrsquos

expected return is sufficient to compensate for its risk

Ignores diversification Measures only stand-alone risk which

may not be the most relevant risk in capital budgeting

Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-87

Scenario analysis is best described as the determination of the

A Most likely outcome for a projectB Reasonable range of project outcomesC Variable that has the greatest effect on a projectrsquos

outcomeD Effect that a projectrsquos initial cost has on the projectrsquos net

present valueE Change in a projectrsquos net present value given a stated

change in projected sales

9-88

  • FINC311 Principles of Finance
  • Corporate Finance Overview
  • Building Blocks for Decisions
  • Introduction Example
  • Introduction
  • Chapter Objectives
  • Slide Number 7
  • Cash Flow Introduction
  • Relevant Cash Flows
  • Relevant Cash Flows
  • Relevant Cash Flows - Watchouts
  • Opportunity Cost
  • Opportunity Cost Example
  • Opportunity Cost Example
  • Opportunity Cost Example
  • Side Effects
  • Side Effects Erosion
  • Erosion Example
  • Question ndash Side Effects
  • Net Working Capital
  • Changes in Net Working Capital
  • Changes in Net Working Capital
  • Tax Effects
  • After-Tax Salvage Value
  • After-Tax Salvage
  • Computing Depreciation
  • Question
  • Question
  • Question
  • Tax Effect on Salvage
  • Example
  • Salvage Value amp Tax Effects
  • Sunk Cost
  • Sunk Cost Example
  • Financing Costs
  • Relevant Cash Flows - Watchouts
  • Question
  • Question
  • Question
  • Question
  • Slide Number 41
  • Evaluating a Proposed Investment
  • Pro Forma Financial Statements
  • Shark Attractant Project
  • Shark Attractant Project- Assumptions
  • Pro Forma Income Statement
  • Where is the Interest Expense
  • Pro Forma Balance Sheet
  • Shark Attractant Project- Assumptions
  • Projected Capital Requirements
  • Evaluating a Proposed Investment
  • Cash Flow - Definitions
  • Pro Forma Income Statement
  • Operating Cash Flow
  • Projected Total Cash Flows
  • Shark Attractant Project ndash Cash Flows
  • Evaluating a Proposed Investment
  • Estimate Project Value
  • Making the Decision
  • Shark Attractant Project
  • Question
  • Question
  • Pro Forma Income Statement
  • Operating Cash Flow
  • Depreciation Tax Shield
  • The Tax Shield Approach to OCF
  • Pro Forma Income Statement
  • The Tax Shield Approach to OCF
  • Question
  • Slide Number 70
  • Intro to Evaluating NPV
  • NPV Decision Rule
  • Risk with NPV Analysis
  • NPV ndash Forecasting Risk
  • Tools to Evaluate NPV Analysis
  • Understanding Sources of Value
  • Scenario and Sensitivity Analysis
  • Slide Number 78
  • Scenario Analysis
  • Scenario Analysis Example
  • Scenario Analysis Example
  • Problems with Scenario Analysis
  • Sensitivity Analysis
  • Sensitivity Analysis Unit Sales
  • Sensitivity Analysis Fixed Costs
  • Sensitivity Analysis
  • Disadvantages of Sensitivity and Scenario Analysis
  • Question
    Pro Forma Income Statements
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC(20000)20000
    Net Capital Spending(90000)
    Cash Flow From Assets(110000)517805178071780
    Net Present Value$1064769
    IRR2576
    -30-20-100102030
    UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
    FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
    Sensitivity Analysis
    -30-20-100102030-30-20-100102030
    BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
    Units60004200480054006000660072007800Units60006000600060006000600060006000
    Priceunit$ 8080808080808080Priceunit$ 8080808080808080
    Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
    Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
    Initial investment$ 200000Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000Deprecyr$ 40000
    Tax rate34Tax rate34
    Required Return12Required Return12
    BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
    Units60004200480054006000660072007800Units60006000600060006000600060006000
    Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
    Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
    Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
    Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
    Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
    Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
    Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
    EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
    Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
    Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
    + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
    TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
    NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
    Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
    Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
    SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
    INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
    Sensitivity Ratio = ( Change in NPV) Change in Variable
    Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
    Negative = Inverse relationshipPositive = Direct relationship
    Negative = Inverse relationship
    $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
    5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    5980069700664006310059800565005320049900
    PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
    NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
    NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
    Sensitivity Analysis
    BaseUnitsUnitsFixed CostFixed Cost
    Units60005500650060006000
    Priceunit$ 8080808080
    Variable costunit$ 6060606060UNITS
    Fixed costyear$ 5000050000500005500045000X550060006500
    Y$ (8226)$ 15566$ 39357
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Tax rate34
    Required Return12
    BASEUNITSUNITSFCFC
    Units60005500650060006000
    Priceunit$ 80$ 80$ 80$ 80$ 80
    Variable costunit$ 60$ 60$ 60$ 60$ 60
    Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
    Sales$ 480000$ 440000$ 520000$ 480000$ 480000
    Variable Cost360000330000390000360000360000
    Fixed Cost5000050000500005500045000
    Depreciation4000040000400004000040000
    EBIT3000020000400002500035000
    Taxes10200680013600850011900
    Net Income1980013200264001650023100
    + Deprec4000040000400004000040000
    TOTAL CF5980053200664005650063100
    NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
    FC
    $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)X$ 45000$ 50000$ 55000
    5980053200664005650063100Y$ 27461$ 15566$ 3670
    5980053200664005650063100
    5980053200664005650063100
    5980053200664005650063100
    5980053200664005650063100
    PV$ 215566$ 191774$ 239357$ 203670$ 227461
    NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
    Scenario Analysis
    BaseLowerUpper
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 5800$ 6200
    Fixed costyear$ 50000$ 45000$ 55000
    BASEBESTWORST
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Project Life5years
    Tax rate34
    Required return12
    BASEWORSTBEST
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 6200$ 5800
    Fixed Cost$ 50000$ 55000$ 45000
    Sales$ 480000$ 412500$ 552500
    Variable Cost360000341000377000
    Fixed Cost500005500045000
    Depreciation400004000040000
    EBIT30000(23500)90500
    Taxes10200(7990)30770
    Net Income19800(15510)59730
    + Deprec400004000040000
    TOTAL CF598002449099730
    NPV15566(111719)159504
    IRR151-144409
    NOTENote in WORST CASE tax credit for negative earnings
    $ (200000)$ (200000)$ (200000)
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    PV$215566$88281$359504
    NPV15566(111719)159504
    Majestic Mulch and Compost Company (MMCC)
    YEAR012345678
    Background Data
    Unit Sales Estimates30005000600065006000500040003000
    Variable Cost unit$ 6000
    Fixed Costs per year$ 2500000
    Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
    Tax Rate340
    Required Return on Project150
    Yr 0 NWC$ 2000000
    NWC of sales15
    Equipment cost - installed$ 800000
    Salvage Value in year 820of equipment cost
    Depreciation Calculations
    Equipment Depreciable Base800000
    MACRS (Eqpt-7 yr)1429244917491249892893893446
    Recovery Allowance1143201959201399209992071360714407144035680
    Book Value685680489760349840249920178560107120356800
    After-Tax Salvage Value
    Salvage Value20160000
    Book Value (Year 8)0
    Capital GainLoss160000
    Taxes54400
    Net SV (SV-Taxes)105600
    Required Net Working Capital Investment
    20000540009000010800010725099000825006600049500
    YEAR012345678
    Initial Investment
    Equipment Cost(800000)
    Sales360000600000720000715000660000550000440000330000
    Variable Costs180000300000360000390000360000300000240000180000
    Fixed Costs2500025000250002500025000250002500025000
    Depreciation (Eqpt))1143201959201399209992071360714407144035680
    EBT406807908019508020008020364015356010356089320
    Taxes1383126887663276802769238522103521030369
    Net Operating Income26849521931287531320531344021013506835058951
    Add back Depreciation1143201959201399209992071360714407144035680
    CASH FLOW from Operations14116924811326867323197320576217279013979094631
    NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
    Salvage Value105600
    TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
    Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
    Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
    NPV$65483
    IRR1724
    Payback408
    Depreciation5-year Asset
    YearBeg BVDeprDeprecEnd BV
    1$ 12000002000$ 240000$ 960000
    2$ 9600003200$ 384000$ 576000
    3$ 5760001920$ 230400$ 345600
    4$ 3456001152$ 138240$ 207360
    5$ 2073601152$ 138240$ 69120
    6$ 69120576$ 69120$ - 0
    10000$ 1200000
    EOY 5$3000$221501$78499
    EOY 2$4000$459840($59840)
    Pro Forma Income Statement
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC-2000020000
    Net Capital Spending-90000
    Cash Flow From Assets-110000517805178071780
    Net Present Value$1064769
    IRR2576
    45000
    50000
    55000
    Pro Forma Income Statements
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC(20000)20000
    Net Capital Spending(90000)
    Cash Flow From Assets(110000)517805178071780
    Net Present Value$1064769
    IRR2576
    -30-20-100102030
    UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
    FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
    Sensitivity Analysis
    -30-20-100102030-30-20-100102030
    BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
    Units60004200480054006000660072007800Units60006000600060006000600060006000
    Priceunit$ 8080808080808080Priceunit$ 8080808080808080
    Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
    Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
    Initial investment$ 200000Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000Deprecyr$ 40000
    Tax rate34Tax rate34
    Required Return12Required Return12
    BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
    Units60004200480054006000660072007800Units60006000600060006000600060006000
    Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
    Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
    Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
    Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
    Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
    Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
    Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
    EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
    Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
    Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
    + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
    TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
    NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
    Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
    Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
    SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
    INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
    Sensitivity Ratio = ( Change in NPV) Change in Variable
    Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
    Negative = Inverse relationshipPositive = Direct relationship
    Negative = Inverse relationship
    $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
    5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    5980069700664006310059800565005320049900
    PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
    NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
    NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
    Sensitivity Analysis
    BaseUnitsUnitsFixed CostFixed Cost
    Units60005500650060006000
    Priceunit$ 8080808080
    Variable costunit$ 6060606060UNITS
    Fixed costyear$ 5000050000500005500045000X550060006500
    Y$ (8226)$ 15566$ 39357
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Tax rate34
    Required Return12
    BASEUNITSUNITSFCFC
    Units60005500650060006000
    Priceunit$ 80$ 80$ 80$ 80$ 80
    Variable costunit$ 60$ 60$ 60$ 60$ 60
    Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
    Sales$ 480000$ 440000$ 520000$ 480000$ 480000
    Variable Cost360000330000390000360000360000
    Fixed Cost5000050000500005500045000
    Depreciation4000040000400004000040000
    EBIT3000020000400002500035000
    Taxes10200680013600850011900
    Net Income1980013200264001650023100
    + Deprec4000040000400004000040000
    TOTAL CF5980053200664005650063100
    NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
    FC
    $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)X$ 45000$ 50000$ 55000
    5980053200664005650063100Y$ 27461$ 15566$ 3670
    5980053200664005650063100
    5980053200664005650063100
    5980053200664005650063100
    5980053200664005650063100
    PV$ 215566$ 191774$ 239357$ 203670$ 227461
    NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
    Scenario Analysis
    BaseLowerUpper
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 5800$ 6200
    Fixed costyear$ 50000$ 45000$ 55000
    BASEBESTWORST
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Project Life5years
    Tax rate34
    Required return12
    BASEWORSTBEST
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 6200$ 5800
    Fixed Cost$ 50000$ 55000$ 45000
    Sales$ 480000$ 412500$ 552500
    Variable Cost360000341000377000
    Fixed Cost500005500045000
    Depreciation400004000040000
    EBIT30000(23500)90500
    Taxes10200(7990)30770
    Net Income19800(15510)59730
    + Deprec400004000040000
    TOTAL CF598002449099730
    NPV15566(111719)159504
    IRR151-144409
    NOTENote in WORST CASE tax credit for negative earnings
    $ (200000)$ (200000)$ (200000)
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    PV$215566$88281$359504
    NPV15566(111719)159504
    Majestic Mulch and Compost Company (MMCC)
    YEAR012345678
    Background Data
    Unit Sales Estimates30005000600065006000500040003000
    Variable Cost unit$ 6000
    Fixed Costs per year$ 2500000
    Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
    Tax Rate340
    Required Return on Project150
    Yr 0 NWC$ 2000000
    NWC of sales15
    Equipment cost - installed$ 800000
    Salvage Value in year 820of equipment cost
    Depreciation Calculations
    Equipment Depreciable Base800000
    MACRS (Eqpt-7 yr)1429244917491249892893893446
    Recovery Allowance1143201959201399209992071360714407144035680
    Book Value685680489760349840249920178560107120356800
    After-Tax Salvage Value
    Salvage Value20160000
    Book Value (Year 8)0
    Capital GainLoss160000
    Taxes54400
    Net SV (SV-Taxes)105600
    Required Net Working Capital Investment
    20000540009000010800010725099000825006600049500
    YEAR012345678
    Initial Investment
    Equipment Cost(800000)
    Sales360000600000720000715000660000550000440000330000
    Variable Costs180000300000360000390000360000300000240000180000
    Fixed Costs2500025000250002500025000250002500025000
    Depreciation (Eqpt))1143201959201399209992071360714407144035680
    EBT406807908019508020008020364015356010356089320
    Taxes1383126887663276802769238522103521030369
    Net Operating Income26849521931287531320531344021013506835058951
    Add back Depreciation1143201959201399209992071360714407144035680
    CASH FLOW from Operations14116924811326867323197320576217279013979094631
    NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
    Salvage Value105600
    TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
    Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
    Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
    NPV$65483
    IRR1724
    Payback408
    Depreciation5-year Asset
    YearBeg BVDeprDeprecEnd BV
    1$ 12000002000$ 240000$ 960000
    2$ 9600003200$ 384000$ 576000
    3$ 5760001920$ 230400$ 345600
    4$ 3456001152$ 138240$ 207360
    5$ 2073601152$ 138240$ 69120
    6$ 69120576$ 69120$ - 0
    10000$ 1200000
    EOY 5$3000$221501$78499
    EOY 2$4000$459840($59840)
    Pro Forma Income Statement
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC-2000020000
    Net Capital Spending-90000
    Cash Flow From Assets-110000517805178071780
    Net Present Value$1064769
    IRR2576
    Pro Forma Income Statements
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC(20000)20000
    Net Capital Spending(90000)
    Cash Flow From Assets(110000)517805178071780
    Net Present Value$1064769
    IRR2576
    -30-20-100102030
    UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
    FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
    Sensitivity Analysis
    -30-20-100102030-30-20-100102030
    BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
    Units60004200480054006000660072007800Units60006000600060006000600060006000
    Priceunit$ 8080808080808080Priceunit$ 8080808080808080
    Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
    Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
    Initial investment$ 200000Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000Deprecyr$ 40000
    Tax rate34Tax rate34
    Required Return12Required Return12
    BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
    Units60004200480054006000660072007800Units60006000600060006000600060006000
    Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
    Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
    Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
    Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
    Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
    Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
    Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
    EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
    Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
    Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
    + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
    TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
    NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
    Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
    Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
    SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
    INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
    Sensitivity Ratio = ( Change in NPV) Change in Variable
    Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
    Negative = Inverse relationshipPositive = Direct relationship
    Negative = Inverse relationship
    $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
    5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    5980069700664006310059800565005320049900
    PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
    NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
    NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
    Sensitivity Analysis
    BaseUnitsUnitsFixed CostFixed Cost
    Units60005500650060006000
    Priceunit$ 8080808080
    Variable costunit$ 6060606060
    Fixed costyear$ 5000050000500005500045000X550060006500
    Y$ (8226)$ 15566$ 39357
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Tax rate34
    Required Return12
    BASEUNITSUNITSFCFC
    Units60005500650060006000
    Priceunit$ 80$ 80$ 80$ 80$ 80
    Variable costunit$ 60$ 60$ 60$ 60$ 60
    Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
    Sales$ 480000$ 440000$ 520000$ 480000$ 480000
    Variable Cost360000330000390000360000360000
    Fixed Cost5000050000500005500045000
    Depreciation4000040000400004000040000
    EBIT3000020000400002500035000
    Taxes10200680013600850011900
    Net Income1980013200264001650023100
    + Deprec4000040000400004000040000
    TOTAL CF5980053200664005650063100
    NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
    $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
    5980053200664005650063100
    5980053200664005650063100
    5980053200664005650063100
    5980053200664005650063100
    5980053200664005650063100
    PV$ 215566$ 191774$ 239357$ 203670$ 227461
    NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
    Scenario Analysis
    BaseLowerUpper
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 5800$ 6200
    Fixed costyear$ 50000$ 45000$ 55000
    BASEBESTWORST
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Project Life5years
    Tax rate34
    Required return12
    BASEWORSTBEST
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 6200$ 5800
    Fixed Cost$ 50000$ 55000$ 45000
    Sales$ 480000$ 412500$ 552500
    Variable Cost360000341000377000
    Fixed Cost500005500045000
    Depreciation400004000040000
    EBIT30000(23500)90500
    Taxes10200(7990)30770
    Net Income19800(15510)59730
    + Deprec400004000040000
    TOTAL CF598002449099730
    NPV15566(111719)159504
    IRR151-144409
    NOTENote in WORST CASE tax credit for negative earnings
    $ (200000)$ (200000)$ (200000)
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    PV$215566$88281$359504
    NPV15566(111719)159504
    Majestic Mulch and Compost Company (MMCC)
    YEAR012345678
    Background Data
    Unit Sales Estimates30005000600065006000500040003000
    Variable Cost unit$ 6000
    Fixed Costs per year$ 2500000
    Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
    Tax Rate340
    Required Return on Project150
    Yr 0 NWC$ 2000000
    NWC of sales15
    Equipment cost - installed$ 800000
    Salvage Value in year 820of equipment cost
    Depreciation Calculations
    Equipment Depreciable Base800000
    MACRS (Eqpt-7 yr)1429244917491249892893893446
    Recovery Allowance1143201959201399209992071360714407144035680
    Book Value685680489760349840249920178560107120356800
    After-Tax Salvage Value
    Salvage Value20160000
    Book Value (Year 8)0
    Capital GainLoss160000
    Taxes54400
    Net SV (SV-Taxes)105600
    Required Net Working Capital Investment
    20000540009000010800010725099000825006600049500
    YEAR012345678
    Initial Investment
    Equipment Cost(800000)
    Sales360000600000720000715000660000550000440000330000
    Variable Costs180000300000360000390000360000300000240000180000
    Fixed Costs2500025000250002500025000250002500025000
    Depreciation (Eqpt))1143201959201399209992071360714407144035680
    EBT406807908019508020008020364015356010356089320
    Taxes1383126887663276802769238522103521030369
    Net Operating Income26849521931287531320531344021013506835058951
    Add back Depreciation1143201959201399209992071360714407144035680
    CASH FLOW from Operations14116924811326867323197320576217279013979094631
    NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
    Salvage Value105600
    TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
    Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
    Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
    NPV$65483
    IRR1724
    Payback408
    Depreciation5-year Asset
    YearBeg BVDeprDeprecEnd BV
    1$ 12000002000$ 240000$ 960000
    2$ 9600003200$ 384000$ 576000
    3$ 5760001920$ 230400$ 345600
    4$ 3456001152$ 138240$ 207360
    5$ 2073601152$ 138240$ 69120
    6$ 69120576$ 69120$ - 0
    10000$ 1200000
    EOY 5$3000$221501$78499
    EOY 2$4000$459840($59840)
    Pro Forma Income Statement
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC-2000020000
    Net Capital Spending-90000
    Cash Flow From Assets-110000517805178071780
    Net Present Value$1064769
    IRR2576
    5500
    6000
    6500
    Pro Forma Income Statements
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC(20000)20000
    Net Capital Spending(90000)
    Cash Flow From Assets(110000)517805178071780
    Net Present Value$1064769
    IRR2576
    -30-20-100102030
    UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
    FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
    Sensitivity Analysis
    -30-20-100102030-30-20-100102030
    BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
    Units60004200480054006000660072007800Units60006000600060006000600060006000
    Priceunit$ 8080808080808080Priceunit$ 8080808080808080
    Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
    Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
    Initial investment$ 200000Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000Deprecyr$ 40000
    Tax rate34Tax rate34
    Required Return12Required Return12
    BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
    Units60004200480054006000660072007800Units60006000600060006000600060006000
    Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
    Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
    Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
    Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
    Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
    Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
    Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
    EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
    Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
    Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
    + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
    TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
    NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
    Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
    Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
    SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
    INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
    Sensitivity Ratio = ( Change in NPV) Change in Variable
    Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
    Negative = Inverse relationshipPositive = Direct relationship
    Negative = Inverse relationship
    $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
    5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    59800360404396051880598006772075640835605980069700664006310059800565005320049900
    5980069700664006310059800565005320049900
    PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
    NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
    NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
    Sensitivity Analysis
    BaseUnitsUnitsFixed CostFixed Cost
    Units60005500650060006000
    Priceunit$ 8080808080
    Variable costunit$ 6060606060
    Fixed costyear$ 5000050000500005500045000
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Tax rate34
    Required Return12
    BASEUNITSUNITSFCFC
    Units60005500650060006000
    Priceunit$ 80$ 80$ 80$ 80$ 80
    Variable costunit$ 60$ 60$ 60$ 60$ 60
    Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
    Sales$ 480000$ 440000$ 520000$ 480000$ 480000
    Variable Cost360000330000390000360000360000
    Fixed Cost5000050000500005500045000
    Depreciation4000040000400004000040000
    EBIT3000020000400002500035000
    Taxes10200680013600850011900
    Net Income1980013200264001650023100
    + Deprec4000040000400004000040000
    TOTAL CF5980053200664005650063100
    NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
    $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
    5980053200664005650063100
    5980053200664005650063100
    5980053200664005650063100
    5980053200664005650063100
    5980053200664005650063100
    PV$ 215566$ 191774$ 239357$ 203670$ 227461
    NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
    Scenario Analysis
    BaseLowerUpper
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 5800$ 6200
    Fixed costyear$ 50000$ 45000$ 55000
    BASEBESTWORST
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Project Life5years
    Tax rate34
    Required return12
    BASEWORSTBEST
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 6200$ 5800
    Fixed Cost$ 50000$ 55000$ 45000
    Sales$ 480000$ 412500$ 552500
    Variable Cost360000341000377000
    Fixed Cost500005500045000
    Depreciation400004000040000
    EBIT30000(23500)90500
    Taxes10200(7990)30770
    Net Income19800(15510)59730
    + Deprec400004000040000
    TOTAL CF598002449099730
    NPV15566(111719)159504
    IRR151-144409
    NOTENote in WORST CASE tax credit for negative earnings
    $ (200000)$ (200000)$ (200000)
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    PV$215566$88281$359504
    NPV15566(111719)159504
    Majestic Mulch and Compost Company (MMCC)
    YEAR012345678
    Background Data
    Unit Sales Estimates30005000600065006000500040003000
    Variable Cost unit$ 6000
    Fixed Costs per year$ 2500000
    Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
    Tax Rate340
    Required Return on Project150
    Yr 0 NWC$ 2000000
    NWC of sales15
    Equipment cost - installed$ 800000
    Salvage Value in year 820of equipment cost
    Depreciation Calculations
    Equipment Depreciable Base800000
    MACRS (Eqpt-7 yr)1429244917491249892893893446
    Recovery Allowance1143201959201399209992071360714407144035680
    Book Value685680489760349840249920178560107120356800
    After-Tax Salvage Value
    Salvage Value20160000
    Book Value (Year 8)0
    Capital GainLoss160000
    Taxes54400
    Net SV (SV-Taxes)105600
    Required Net Working Capital Investment
    20000540009000010800010725099000825006600049500
    YEAR012345678
    Initial Investment
    Equipment Cost(800000)
    Sales360000600000720000715000660000550000440000330000
    Variable Costs180000300000360000390000360000300000240000180000
    Fixed Costs2500025000250002500025000250002500025000
    Depreciation (Eqpt))1143201959201399209992071360714407144035680
    EBT406807908019508020008020364015356010356089320
    Taxes1383126887663276802769238522103521030369
    Net Operating Income26849521931287531320531344021013506835058951
    Add back Depreciation1143201959201399209992071360714407144035680
    CASH FLOW from Operations14116924811326867323197320576217279013979094631
    NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
    Salvage Value105600
    TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
    Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
    Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
    NPV$65483
    IRR1724
    Payback408
    Depreciation5-year Asset
    YearBeg BVDeprDeprecEnd BV
    1$ 12000002000$ 240000$ 960000
    2$ 9600003200$ 384000$ 576000
    3$ 5760001920$ 230400$ 345600
    4$ 3456001152$ 138240$ 207360
    5$ 2073601152$ 138240$ 69120
    6$ 69120576$ 69120$ - 0
    10000$ 1200000
    EOY 5$3000$221501$78499
    EOY 2$4000$459840($59840)
    Pro Forma Income Statement
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC-2000020000
    Net Capital Spending-90000
    Cash Flow From Assets-110000517805178071780
    Net Present Value$1064769
    IRR2576
    Pro Forma Income Statements
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC(20000)20000
    Net Capital Spending(90000)
    Cash Flow From Assets(110000)517805178071780
    Net Present Value$1064769
    IRR2576
    Sensitivity Analysis
    BaseUnitsFixed Cost
    Units600055006000
    Priceunit$ 808080
    Variable costunit$ 606060
    Fixed costyear$ 500005000055000
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Tax rate34
    Required Return12
    BASEUNITSFC
    Units600055006000
    Priceunit$ 80$ 80$ 80
    Variable costunit$ 60$ 60$ 60
    Fixed cost$ 50000$ 50000$ 55000
    Sales$ 480000$ 440000$ 480000
    Variable Cost360000330000360000
    Fixed Cost500005000055000
    Depreciation400004000040000
    EBIT300002000025000
    Taxes1020068008500
    Net Income198001320016500
    + Deprec400004000040000
    TOTAL CF598005320056500
    NPV$ 15566$ (8226)$ 3670
    Change in NPV-1528-764
    Change in Variable-83100
    SENSITIVITY RATIO1834-764
    DIRECTINVERSE
    Sensitivity Ratio = ( Change in NPV) Change in Variable
    Positive = Direct relationship
    Negative = Inverse relationship
    $ (200000)$ (200000)$ (200000)
    598005320056500
    598005320056500
    598005320056500
    598005320056500
    598005320056500
    PV$ 215566$ 191774$ 203670
    NPV$ 15566$ (8226)$ 3670
    Scenario Analysis
    BaseLowerUpper
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 5800$ 6200
    Fixed costyear$ 50000$ 45000$ 55000
    BASEBESTWORST
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Project Life5years
    Tax rate34
    Required return12
    BASEWORSTBEST
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 6200$ 5800
    Fixed Cost$ 50000$ 55000$ 45000
    Sales$ 480000$ 412500$ 552500
    Variable Cost360000341000377000
    Fixed Cost500005500045000
    Depreciation400004000040000
    EBIT30000(23500)90500
    Taxes10200(7990)30770
    Net Income19800(15510)59730
    + Deprec400004000040000
    TOTAL CF598002449099730
    NPV15566(111719)159504
    IRR151-144409
    NOTENote in WORST CASE tax credit for negative earnings
    $ (200000)$ (200000)$ (200000)
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    PV$215566$88281$359504
    NPV15566(111719)159504
    Majestic Mulch and Compost Company (MMCC)
    YEAR012345678
    Background Data
    Unit Sales Estimates30005000600065006000500040003000
    Variable Cost unit$ 6000
    Fixed Costs per year$ 2500000
    Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
    Tax Rate340
    Required Return on Project150
    Yr 0 NWC$ 2000000
    NWC of sales15
    Equipment cost - installed$ 800000
    Salvage Value in year 820of equipment cost
    Depreciation Calculations
    Equipment Depreciable Base800000
    MACRS (Eqpt-7 yr)1429244917491249892893893446
    Recovery Allowance1143201959201399209992071360714407144035680
    Book Value685680489760349840249920178560107120356800
    After-Tax Salvage Value
    Salvage Value20160000
    Book Value (Year 8)0
    Capital GainLoss160000
    Taxes54400
    Net SV (SV-Taxes)105600
    Required Net Working Capital Investment
    20000540009000010800010725099000825006600049500
    YEAR012345678
    Initial Investment
    Equipment Cost(800000)
    Sales360000600000720000715000660000550000440000330000
    Variable Costs180000300000360000390000360000300000240000180000
    Fixed Costs2500025000250002500025000250002500025000
    Depreciation (Eqpt))1143201959201399209992071360714407144035680
    EBT406807908019508020008020364015356010356089320
    Taxes1383126887663276802769238522103521030369
    Net Operating Income26849521931287531320531344021013506835058951
    Add back Depreciation1143201959201399209992071360714407144035680
    CASH FLOW from Operations14116924811326867323197320576217279013979094631
    NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
    Salvage Value105600
    TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
    Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
    Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
    NPV$65483
    IRR1724
    Payback408
    Depreciation5-year Asset
    YearBeg BVDeprDeprecEnd BV
    1$ 12000002000$ 240000$ 960000
    2$ 9600003200$ 384000$ 576000
    3$ 5760001920$ 230400$ 345600
    4$ 3456001152$ 138240$ 207360
    5$ 2073601152$ 138240$ 69120
    6$ 69120576$ 69120$ - 0
    10000$ 1200000
    EOY 5$3000$221501$78499
    EOY 2$4000$459840($59840)
    Pro Forma Income Statement
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC-2000020000
    Net Capital Spending-90000
    Cash Flow From Assets-110000517805178071780
    Net Present Value$1064769
    IRR2576
    Pro Forma Income Statements
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC(20000)20000
    Net Capital Spending(90000)
    Cash Flow From Assets(110000)517805178071780
    Net Present Value$1064769
    IRR2576
    Sensitivity Analysis
    BaseUnitsFixed Cost
    Units600055006000
    Priceunit$ 808080
    Variable costunit$ 606060
    Fixed costyear$ 500005000055000
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Tax rate34
    Required Return12
    BASEUNITSFC
    Units600055006000
    Priceunit$ 80$ 80$ 80
    Variable costunit$ 60$ 60$ 60
    Fixed cost$ 50000$ 50000$ 55000
    Sales$ 480000$ 440000$ 480000
    Variable Cost360000330000360000
    Fixed Cost500005000055000
    Depreciation400004000040000
    EBIT300002000025000
    Taxes1020068008500
    Net Income198001320016500
    + Deprec400004000040000
    TOTAL CF598005320056500
    NPV$ 15566$ (8226)$ 3670
    Change in NPV-1528-764
    Change in Variable-83100
    SENSITIVITY RATIO1834-764
    DIRECTINVERSE
    Sensitivity Ratio = ( Change in NPV) Change in Variable
    Positive = Direct relationship
    Negative = Inverse relationship
    $ (200000)$ (200000)$ (200000)
    598005320056500
    598005320056500
    598005320056500
    598005320056500
    598005320056500
    PV$ 215566$ 191774$ 203670
    NPV$ 15566$ (8226)$ 3670
    Scenario Analysis
    BaseLowerUpper
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 5800$ 6200
    Fixed costyear$ 50000$ 45000$ 55000
    BASEBESTWORST
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Project Life5years
    Tax rate34
    Required return12
    BASEWORSTBEST
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 6200$ 5800
    Fixed Cost$ 50000$ 55000$ 45000
    Sales$ 480000$ 412500$ 552500
    Variable Cost360000341000377000
    Fixed Cost500005500045000
    Depreciation400004000040000
    EBIT30000(23500)90500
    Taxes10200(7990)30770
    Net Income19800(15510)59730
    + Deprec400004000040000
    TOTAL CF598002449099730
    NPV15566(111719)159504
    IRR151-144409
    NOTENote in WORST CASE tax credit for negative earnings
    $ (200000)$ (200000)$ (200000)
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    PV$215566$88281$359504
    NPV15566(111719)159504
    Majestic Mulch and Compost Company (MMCC)
    YEAR012345678
    Background Data
    Unit Sales Estimates30005000600065006000500040003000
    Variable Cost unit$ 6000
    Fixed Costs per year$ 2500000
    Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
    Tax Rate340
    Required Return on Project150
    Yr 0 NWC$ 2000000
    NWC of sales15
    Equipment cost - installed$ 800000
    Salvage Value in year 820of equipment cost
    Depreciation Calculations
    Equipment Depreciable Base800000
    MACRS (Eqpt-7 yr)1429244917491249892893893446
    Recovery Allowance1143201959201399209992071360714407144035680
    Book Value685680489760349840249920178560107120356800
    After-Tax Salvage Value
    Salvage Value20160000
    Book Value (Year 8)0
    Capital GainLoss160000
    Taxes54400
    Net SV (SV-Taxes)105600
    Required Net Working Capital Investment
    20000540009000010800010725099000825006600049500
    YEAR012345678
    Initial Investment
    Equipment Cost(800000)
    Sales360000600000720000715000660000550000440000330000
    Variable Costs180000300000360000390000360000300000240000180000
    Fixed Costs2500025000250002500025000250002500025000
    Depreciation (Eqpt))1143201959201399209992071360714407144035680
    EBT406807908019508020008020364015356010356089320
    Taxes1383126887663276802769238522103521030369
    Net Operating Income26849521931287531320531344021013506835058951
    Add back Depreciation1143201959201399209992071360714407144035680
    CASH FLOW from Operations14116924811326867323197320576217279013979094631
    NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
    Salvage Value105600
    TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
    Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
    Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
    NPV$65483
    IRR1724
    Payback408
    Depreciation5-year Asset
    YearBeg BVDeprDeprecEnd BV
    1$ 12000002000$ 240000$ 960000
    2$ 9600003200$ 384000$ 576000
    3$ 5760001920$ 230400$ 345600
    4$ 3456001152$ 138240$ 207360
    5$ 2073601152$ 138240$ 69120
    6$ 69120576$ 69120$ - 0
    10000$ 1200000
    EOY 5$3000$221501$78499
    EOY 2$4000$459840($59840)
    Pro Forma Income Statement
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC-2000020000
    Net Capital Spending-90000
    Cash Flow From Assets-110000517805178071780
    Net Present Value$1064769
    IRR2576
    Pro Forma Income Statements
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC(20000)20000
    Net Capital Spending(90000)
    Cash Flow From Assets(110000)517805178071780
    Net Present Value$1064769
    IRR2576
    Sensitivity Analysis
    BaseUnitsFixed Cost
    Units600055006000
    Priceunit$ 808080
    Variable costunit$ 606060
    Fixed costyear$ 500005000055000
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Tax rate34
    Required Return12
    BASEUNITSFC
    Units600055006000
    Priceunit$ 80$ 80$ 80
    Variable costunit$ 60$ 60$ 60
    Fixed cost$ 50000$ 50000$ 55000
    Sales$ 480000$ 440000$ 480000
    Variable Cost360000330000360000
    Fixed Cost500005000055000
    Depreciation400004000040000
    EBIT300002000025000
    Taxes1020068008500
    Net Income198001320016500
    + Deprec400004000040000
    TOTAL CF598005320056500
    NPV$ 15566$ (8226)$ 3670
    Change in NPV-1528-764
    Change in Variable-83100
    SENSITIVITY RATIO1834-764
    DIRECTINVERSE
    Sensitivity Ratio = ( Change in NPV) Change in Variable
    Positive = Direct relationship
    Negative = Inverse relationship
    $ (200000)$ (200000)$ (200000)
    598005320056500
    598005320056500
    598005320056500
    598005320056500
    598005320056500
    PV$ 215566$ 191774$ 203670
    NPV$ 15566$ (8226)$ 3670
    Scenario Analysis
    BaseLowerUpper
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 5800$ 6200
    Fixed costyear$ 50000$ 45000$ 55000
    BASEBESTWORST
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Project Life5years
    Tax rate34
    Required return12
    BASEWORSTBEST
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 6200$ 5800
    Fixed Cost$ 50000$ 55000$ 45000
    Sales$ 480000$ 412500$ 552500
    Variable Cost360000341000377000
    Fixed Cost500005500045000
    Depreciation400004000040000
    EBIT30000(23500)90500
    Taxes10200(7990)30770
    Net Income19800(15510)59730
    + Deprec400004000040000
    TOTAL CF598002449099730
    NPV15566(111719)159504
    IRR151-144409
    NOTENote in WORST CASE tax credit for negative earnings
    $ (200000)$ (200000)$ (200000)
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    PV$215566$88281$359504
    NPV15566(111719)159504
    Majestic Mulch and Compost Company (MMCC)
    YEAR012345678
    Background Data
    Unit Sales Estimates30005000600065006000500040003000
    Variable Cost unit$ 6000
    Fixed Costs per year$ 2500000
    Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
    Tax Rate340
    Required Return on Project150
    Yr 0 NWC$ 2000000
    NWC of sales15
    Equipment cost - installed$ 800000
    Salvage Value in year 820of equipment cost
    Depreciation Calculations
    Equipment Depreciable Base800000
    MACRS (Eqpt-7 yr)1429244917491249893893893445
    Recovery Allowance1143201959201399209992071440714407144035600
    Book Value685680489760349840249920178480107040356000
    After-Tax Salvage Value
    Salvage Value20160000
    Book Value (Year 8)0
    Capital GainLoss160000
    Taxes54400
    Net SV (SV-Taxes)105600
    Required Net Working Capital Investment
    20000540009000010800010725099000825006600049500
    YEAR012345678
    Initial Investment
    Equipment Cost(800000)
    Sales360000600000720000715000660000550000440000330000
    Variable Costs180000300000360000390000360000300000240000180000
    Fixed Costs2500025000250002500025000250002500025000
    Depreciation (Eqpt))1143201959201399209992071440714407144035600
    EBT406807908019508020008020356015356010356089400
    Taxes1383126887663276802769210522103521030396
    Net Operating Income26849521931287531320531343501013506835059004
    Add back Depreciation1143201959201399209992071440714407144035600
    CASH FLOW from Operations14116924811326867323197320579017279013979094604
    NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
    Salvage Value105600
    TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
    Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
    NPV$ 65488
    IRR1724
    Depreciation5-year Asset
    YearBeg BVDeprDeprecEnd BV
    1$ 12000002000$ 240000$ 960000
    2$ 9600003200$ 384000$ 576000
    3$ 5760001920$ 230400$ 345600
    4$ 3456001152$ 138240$ 207360
    5$ 2073601152$ 138240$ 69120
    6$ 69120576$ 69120$ - 0
    10000$ 1200000
    EOY 5$3000$221501$78499
    EOY 2$4000$459840($59840)
    Pro Forma Income Statement
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC-2000020000
    Net Capital Spending-90000
    Cash Flow From Assets-110000517805178071780
    Net Present Value$1064769
    IRR2576
    Pro Forma Income Statements
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC(20000)20000
    Net Capital Spending(90000)
    Cash Flow From Assets(110000)517805178071780
    Net Present Value$1064769
    IRR2576
    Sensitivity Analysis
    BaseUnitsFixed Cost
    Units600055006000
    Priceunit$ 808080
    Variable costunit$ 606060
    Fixed costyear$ 500005000055000
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Tax rate34
    Required Return12
    BASEUNITSFC
    Units600055006000
    Priceunit$ 80$ 80$ 80
    Variable costunit$ 60$ 60$ 60
    Fixed cost$ 50000$ 50000$ 55000
    Sales$ 480000$ 440000$ 480000
    Variable Cost360000330000360000
    Fixed Cost500005000055000
    Depreciation400004000040000
    EBIT300002000025000
    Taxes1020068008500
    Net Income198001320016500
    + Deprec400004000040000
    TOTAL CF598005320056500
    NPV$ 15566$ (8226)$ 3670
    Change in NPV-1528-764
    Change in Variable-83100
    SENSITIVITY RATIO1834-764
    DIRECTINVERSE
    Sensitivity Ratio = ( Change in NPV) Change in Variable
    Positive = Direct relationship
    Negative = Inverse relationship
    $ (200000)$ (200000)$ (200000)
    598005320056500
    598005320056500
    598005320056500
    598005320056500
    598005320056500
    PV$ 215566$ 191774$ 203670
    NPV$ 15566$ (8226)$ 3670
    Scenario Analysis
    BaseLowerUpper
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 5800$ 6200
    Fixed costyear$ 50000$ 45000$ 55000
    BASEBESTWORST
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Project Life5years
    Tax rate34
    Required return12
    BASEWORSTBEST
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 6200$ 5800
    Fixed Cost$ 50000$ 55000$ 45000
    Sales$ 480000$ 412500$ 552500
    Variable Cost360000341000377000
    Fixed Cost500005500045000
    Depreciation400004000040000
    EBIT30000(23500)90500
    Taxes10200(7990)30770
    Net Income19800(15510)59730
    + Deprec400004000040000
    TOTAL CF598002449099730
    NPV15566(111719)159504
    IRR151-144409
    NOTENote in WORST CASE tax credit for negative earnings
    $ (200000)$ (200000)$ (200000)
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    PV$215566$88281$359504
    NPV15566(111719)159504
    Majestic Mulch and Compost Company (MMCC)
    YEAR012345678
    Background Data
    Unit Sales Estimates30005000600065006000500040003000
    Variable Cost unit$ 6000
    Fixed Costs per year$ 2500000
    Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
    Tax Rate340
    Required Return on Project150
    Yr 0 NWC$ 2000000
    NWC of sales15
    Equipment cost - installed$ 800000
    Salvage Value in year 820of equipment cost
    Depreciation Calculations
    Equipment Depreciable Base800000
    MACRS (Eqpt-7 yr)1429244917491249893893893445
    Recovery Allowance1143201959201399209992071440714407144035600
    Book Value685680489760349840249920178480107040356000
    After-Tax Salvage Value
    Salvage Value20160000
    Book Value (Year 8)0
    Capital GainLoss160000
    Taxes54400
    Net SV (SV-Taxes)105600
    Required Net Working Capital Investment
    20000540009000010800010725099000825006600049500
    YEAR012345678
    Initial Investment
    Equipment Cost(800000)
    Sales360000600000720000715000660000550000440000330000
    Variable Costs180000300000360000390000360000300000240000180000
    Fixed Costs2500025000250002500025000250002500025000
    Depreciation (Eqpt))1143201959201399209992071440714407144035600
    EBT406807908019508020008020356015356010356089400
    Taxes1383126887663276802769210522103521030396
    Net Operating Income26849521931287531320531343501013506835059004
    Add back Depreciation1143201959201399209992071440714407144035600
    CASH FLOW from Operations14116924811326867323197320579017279013979094604
    NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
    Salvage Value105600
    TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
    Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
    NPV$ 65488
    IRR1724
    Depreciation5-year Asset
    YearBeg BVDeprDeprecEnd BV
    1$ 12000002000$ 240000$ 960000
    2$ 9600003200$ 384000$ 576000
    3$ 5760001920$ 230400$ 345600
    4$ 3456001152$ 138240$ 207360
    5$ 2073601152$ 138240$ 69120
    6$ 69120576$ 69120$ - 0
    10000$ 1200000
    EOY 5$3000$221501$78499
    EOY 2$4000$459840($59840)
    Pro Forma Income Statement
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC-2000020000
    Net Capital Spending-90000
    Cash Flow From Assets-110000517805178071780
    Net Present Value$1064769
    IRR2576
    Pro Forma Income Statements
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC(20000)20000
    Net Capital Spending(90000)
    Cash Flow From Assets(110000)517805178071780
    Net Present Value$1064769
    IRR2576
    Sensitivity Analysis
    BaseUnitsFixed Cost
    Units600055006000
    Priceunit$ 808080
    Variable costunit$ 606060
    Fixed costyear$ 500005000055000
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Tax rate34
    Required Return12
    BASEUNITSFC
    Units600055006000
    Priceunit$ 80$ 80$ 80
    Variable costunit$ 60$ 60$ 60
    Fixed cost$ 50000$ 50000$ 55000
    Sales$ 480000$ 440000$ 480000
    Variable Cost360000330000360000
    Fixed Cost500005000055000
    Depreciation400004000040000
    EBIT300002000025000
    Taxes1020068008500
    Net Income198001320016500
    + Deprec400004000040000
    TOTAL CF598005320056500
    NPV$ 15566$ (8226)$ 3670
    Change in NPV-1528-764
    Change in Variable-83100
    SENSITIVITY RATIO1834-764
    DIRECTINVERSE
    Sensitivity Ratio = ( Change in NPV) Change in Variable
    Positive = Direct relationship
    Negative = Inverse relationship
    $ (200000)$ (200000)$ (200000)
    598005320056500
    598005320056500
    598005320056500
    598005320056500
    598005320056500
    PV$ 215566$ 191774$ 203670
    NPV$ 15566$ (8226)$ 3670
    Scenario Analysis
    BaseLowerUpper
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 5800$ 6200
    Fixed costyear$ 50000$ 45000$ 55000
    BASEBESTWORST
    Initial investment$ 200000
    Depreciated to salvage value of 0 over 5 years
    Deprecyr$ 40000
    Project Life5years
    Tax rate34
    Required return12
    BASEWORSTBEST
    Units600055006500
    Priceunit$ 8000$ 7500$ 8500
    Variable costunit$ 6000$ 6200$ 5800
    Fixed Cost$ 50000$ 55000$ 45000
    Sales$ 480000$ 412500$ 552500
    Variable Cost360000341000377000
    Fixed Cost500005500045000
    Depreciation400004000040000
    EBIT30000(23500)90500
    Taxes10200(7990)30770
    Net Income19800(15510)59730
    + Deprec400004000040000
    TOTAL CF598002449099730
    NPV15566(111719)159504
    IRR151-144409
    NOTENote in WORST CASE tax credit for negative earnings
    $ (200000)$ (200000)$ (200000)
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    598002449099730
    PV$215566$88281$359504
    NPV15566(111719)159504
    Majestic Mulch and Compost Company (MMCC)
    YEAR012345678
    Background Data
    Unit Sales Estimates30005000600065006000500040003000
    Variable Cost unit$ 6000
    Fixed Costs per year$ 2500000
    Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
    Tax Rate340
    Required Return on Project150
    Yr 0 NWC$ 2000000
    NWC of sales15
    Equipment cost - installed$ 800000
    Salvage Value in year 820of equipment cost
    Depreciation Calculations
    Equipment Depreciable Base800000
    MACRS (Eqpt-7 yr)1429244917491249893893893445
    Recovery Allowance1143201959201399209992071440714407144035600
    Book Value685680489760349840249920178480107040356000
    After-Tax Salvage Value
    Salvage Value20160000
    Book Value (Year 8)0
    Capital GainLoss160000
    Taxes54400
    Net SV (SV-Taxes)105600
    Required Net Working Capital Investment
    20000540009000010800010725099000825006600049500
    YEAR012345678
    Initial Investment
    Equipment Cost(800000)
    Sales360000600000720000715000660000550000440000330000
    Variable Costs180000300000360000390000360000300000240000180000
    Fixed Costs2500025000250002500025000250002500025000
    Depreciation (Eqpt))1143201959201399209992071440714407144035600
    EBT406807908019508020008020356015356010356089400
    Taxes1383126887663276802769210522103521030396
    Net Operating Income26849521931287531320531343501013506835059004
    Add back Depreciation1143201959201399209992071440714407144035600
    CASH FLOW from Operations14116924811326867323197320579017279013979094604
    NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
    Salvage Value105600
    TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
    Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
    NPV$ 65488
    IRR1724
    Depreciation5-year Asset
    YearBeg BVDeprDeprecEnd BV
    1$ 12000002000$ 240000$ 960000
    2$ 9600003200$ 384000$ 576000
    3$ 5760001920$ 230400$ 345600
    4$ 3456001152$ 138240$ 207360
    5$ 2073601152$ 138240$ 69120
    6$ 69120576$ 69120$ - 0
    10000$ 1200000
    EOY 5$3000$221501$78499
    EOY 2$4000$459840($59840)
    Pro Forma Income Statement
    Year0123
    Sales200000200000200000
    Variable Costs125000125000125000
    Gross Profit750007500075000
    Fixed Costs120001200012000
    Depreciation300003000030000
    EBIT330003300033000
    Taxes112201122011220
    Net Income217802178021780
    Cash Flows
    Operating Cash Flow517805178051780
    Changes in NWC-2000020000
    Net Capital Spending-90000
    Cash Flow From Assets-110000517805178071780
    Net Present Value$1064769
    IRR2576
    Depreciation5-year Asset
    YearBeg BVDeprDeprecEnd BV
    1$ 12000002000$ 240000$ 960000
    2$ 9600003200$ 384000$ 576000
    3$ 5760001920$ 230400$ 345600
    4$ 3456001152$ 138240$ 207360
    5$ 2073601152$ 138240$ 69120
    6$ 69120576$ 69120$ - 0
    10000$ 1200000
    Depreciation5-year Asset
    YearBeg BVDeprDeprecEnd BV
    1$ 12000002000$ 240000$ 960000
    2$ 9600003200$ 384000$ 576000
    3$ 5760001920$ 230400$ 345600
    4$ 3456001152$ 138240$ 207360
    5$ 2073601152$ 138240$ 69120
    6$ 69120576$ 69120$ - 0
    10000$ 1200000

    The role of the financial manager is to answer these questions

    9-2

    What Investments Do

    You Make

    How Do You Finance These Investments

    How Will You Manage Daily

    Financial Activities

    Capital Budgeting Decisions

    Capital Structure Decisions

    Working Capital Decisions

    Making Capital Investment Decisions (Ch 9)

    Investment Criteria (Ch 8)

    FV and PV ndash Multiple Cash Flows (Ch 5)

    FV and PV ndash Single Lump Sum (Ch 4)

    Analyzing Financial Statements (Ch 3)

    Financial Statements and Cash Flow (Ch 2)

    Goal of Financial Management (Ch 1)

    9-3

    Blue Hen Brewery has developed a new style of beer that they think will be a big seller in the marketplace Higher alcohol content 16 ounce cans vs 12 ounce bottles

    We need to determine whether or not this investment will increase shareholder value

    9-4

    Cash flow estimates are the starting point in analyzing an investment The cash flows were simply given to us in Chapter 8

    We now need to understand where these cash flows come from And determine which cash flows should be considered in

    the investment decision

    9-5

    Understand how to determine the relevant cash flows for a proposed investment

    Understand how to analyze a projectrsquos projected cash flows

    Learn how to evaluate an estimated NPV Scenario analysis Sensitivity analysis

    9-6

    Relevant Cash Flows

    9-7

    Once a company decides to take on a new investment project their cash flows are going to be different If the Blue Hen Brewery takes on this new product

    line their cash flows will be altered

    The challenge for the Finance manager is to determine if the change in cash flows that result from the investment will increase the shareholder value

    9-8

    9-9

    Incremental Cash Flows for a Project

    Relevant Cash Flows

    Include only cash flows that will only occur if the project is accepted Incremental cash flows

    The stand-alone principle allows us to analyze each project in isolation from the firm simply by focusing on incremental cash flows

    In general it is easy to determine cash flows that are directly linked to the investment project under consideration Incremental revenue from the new product (eg

    sales of the new beer) Incremental costs from the new product (eg

    brewing ingredients packaging marketing)

    There are however some situations where it can be difficult to determine if cash flows are or are not relevant

    9-10

    Relevant

    bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter tax salvage value

    Not Relevant

    bull ldquoSunkrdquo costsbullFinancing costs

    9-11

    The most valuable alternative that is given up if a particular investment is undertaken

    If the project being considered is using an asset that has alternative uses and value then it is a relevant cash flow

    9-12

    Opportunity Cost

    For the new Blue Hen Brewery beer being considered the plan is to use an older brewery building that was purchased years ago for $100000 and after depreciation is currently on their books for $40000

    Should this be considered in the cash flow analysis for evaluating the new higher-alcohol product for Blue Hen Brewery If so what is the relevant cash flow amount

    9-13

    Which of the following is correct with respect to how to treat the old building that will be used for the new Blue Hen Brewery productA Since it is currently not being used it should be viewed as

    ldquofreerdquo and have no impact on the cash flow for analyzing the new investment opportunity (ie this is a sunk cost)

    B The cash flow impact to the project should be $100000 since this is what the building cost years ago

    C The cash flow impact to the project should be $40000 since this is what the book value of the building currently is

    D None of the above

    9-14

    The opportunity cost is what the building and land could be sold for (ie the current market value of the building) This is the most valuable alternative that is given up if a

    particular investment is undertaken So if the building could be sold for say $75000 then it

    is this amount of $75000 that is a relevant cash flow in the investment decision

    9-15

    9-16

    When a company launches a new product there could be ldquospilloverrdquo impacts on the sales of existing products Known as ldquoside effectsrdquo Can be positive ndash the new product increases the

    sales of existing products Can be negative ndash the new product decreases

    the sales of existing products (called ldquoerosionrdquo)

    The cash flow of a new project that comes at the expense of a firmrsquos existing projects

    Also known as ldquoproduct cannibalizationrdquo

    9-17

    Erosion

    There are many very loyal customers of Blue Hen Brewery that drink only Blue Hen beer products

    Some of these customers will buy the new higher-alcohol products instead of buying existing Blue Hen Brewery products This new product will ldquoeroderdquo or ldquocannibalizerdquo existing

    product lines

    This is a relevant cash flow impact that should be considered in the investment analysis for the new product

    9-18

    Thrill Rides is considering adding a new roller coaster to its amusement park The addition is expected to increase its overall ticket sales In particular the company expects to sell more tickets for its current roller coaster and experience extremely high demand for its new coaster Sales for its boat ride are expected to decline but food and beverage sales are expected to increase significantly All of the following are side effects associated with the new roller coaster with the exception of the

    A Increased food sales

    B Additional sales for the existing coaster

    C Increased food costs from the higher food sales

    D Reduced sales for the boat ride

    E Ticket sales for the new coaster

    9-19

    9-20

    Net working capital is Current Assets minus Current Liabilities

    Current Assets Current Liabilitiesbull Cashbull Accounts Receivablebull Inventory

    bull Accounts Payable

    Most investment projects will impact a firmrsquos working capital Accounts receivable and inventory would increase to

    support higher sales levels Accounts payable would likely increase as inventory

    increases

    These cash flows donrsquot appear on the income statement due to the GAAP matching principle Sales recorded when made not when cash is received Cost of goods sold recorded when sales are made

    whether suppliers paid yet or not

    9-21

    In general most projects will require an investment in working capital at the beginning of the project This would need to be captured in the cash flow analysis

    (as a cash outflow) at the time of launch or in the first year

    At the end of the project the increase in working capital would no longer be needed as inventories are sold receivables collected etc This would need to be captured in the last year of the

    project as a cash inflow from the release of working capital

    9-22

    We need to consider the tax impacts of all cash flows

    Incremental cash flows are meant to be after-taxincremental cash flows

    Which tax rate is most relevant for after-tax cash flowsA Marginal tax rateB Average tax rate

    9-23

    Many projects will require an investment in long-term assets at the beginning of the project This would need to be captured in the cash flow

    analysis (as a cash outflow) at the time of launch

    At the end of the project if there is value in this fixed asset the after-tax salvage value needs to be determined

    9-24

    If the salvage value is different from the book value of the asset then there is a tax effect which impacts cash flows

    9-25

    After-Tax Salvage

    Salvage Amount= Tax rate [Salvage

    Amount ndash Book Value]-

    Book Value Initial Cost= - Accumulated

    Depreciation

    Straight-line depreciationD = (Initial cost ndash salvage) number of yearsStraight Line rarr Salvage Value

    MACRS (Accelerated Depreciation)Depreciate rarr 0Recovery Period = Class Life12 Year ConventionMultiply percentage in table by the initial cost

    9-26Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

    You purchase a new piece of equipment for $100000 to be used in a project that will last 4 years If it is depreciated on a straight-line basis over 5 years what is the book value after 4 years

    A $80000B $75000C $25000D $20000E $0

    9-27

    If you then sell this fixed asset at the end of the project (after 4 years) for $20000 what is your after-tax salvage value (Assume a 30 tax rate)

    A $26000B $20000C $14000D $80000E $0

    9-28

    If you then sell this fixed asset at the end of the project (after 4 years) for $30000 what is your after-tax salvage value (Assume a 30 tax rate)

    A $39000B $30000C $27000D $21000E $0

    9-29

    Net Salvage Cash Flow = SP - (SP-BV)(T)

    WhereSP = Selling PriceBV = Book ValueT = Corporate tax rate

    Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-30

    This represents the tax paid on the gain or the tax benefit of the loss

    Depreciation and After-Tax Salvage Car purchased for $12000 5-year property Marginal tax rate = 34

    9-31

    Depreciation 5-year Asset

    Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

    10000 1200000$

    Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

    Sheet1

    Sheet2

    Sheet3

    Depreciation 5-year Asset

    Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

    10000 1200000$

    Net Salvage Cash Flow = SP - (SP-BV)(T)If sold at EOY 5 for $3000

    NSCF = 3000 - (3000 - 69120)(34) = $221501= $3000 ndash 78499 = $221501

    If sold at EOY 2 for $4000NSCF = 4000 - (4000 - 5760)(34) = $459840

    = $4000 ndash (-59840) = $459840

    Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-32

    What is the after-tax net salvage cash flow at end of year 5 and 2

    Sheet1

    Sheet2

    Sheet3

    A cost that has already been incurred and cannot be recouped

    Therefore it should not be considered in an investment decision

    9-33

    Sunk Cost

    The Blue Hen Brewery spent $100000 on market research and consulting fees to analyze their higher-alcohol beer product

    Is this a sunk costA YesB NoC More information is needed

    9-34

    In Chapter 2 we learned that financing costs (eg interest expense) is a cash flow to creditors Interest expense is not an operating expense

    We care only about cash flow from assets when we make investment decisions

    Financing decisions are important but this is a separate question from deciding if an investment increases shareholder value or not Thus Financing costs are not a relevant cash flow in

    analyzing an investment project

    9-35

    Relevant

    bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter-tax salvage value

    Not Relevant

    bull ldquoSunkrdquo costsbullFinancing costs

    9-36

    Which one of the following principles refers to the assumption that a project will be evaluated based on its incremental cash flows

    A Forecast assumption principleB Base assumption principleC Fallacy principleD Erosion principle E Stand-alone principle

    9-37

    A cost that should be ignored when evaluating a project because that cost has already been incurred and cannot be recouped is referred to as a(n)

    A Fixed costB Forgotten costC Variable costD Opportunity costE Sunk cost

    9-38

    Lake City Plastics currently produces plastic plates and silverware The company is considering expanding its product offerings to include plastic serving trays All of the following are relevant costs to this project with the exception of

    A The cost of additional utilities required to operate the serving tray production operation

    B Any change in the expected sales of plates and silverware gained from offering trays also

    C A percentage of the current operating overhead

    D The additional plastic raw materials that would be required

    E The cost to acquire the forms needed to mold the trays

    9-39

    Which one of the following terms is most commonly used to describe the cash flows of a new project that are simply an offset of reduced cash flows for a current project

    A Opportunity costB Sunk costC ErosionD Replicated flowsE Pirated flows

    9-40

    Pro Forma Financial

    Statements and Cash Flows

    9-41

    The process to evaluate a proposed investment is as follows

    9-42

    Pro Forma Financial

    Statements

    Projected Cash Flows

    Estimate Project Value

    bull Assumptions are gathered and these serve as the basis for the pro forma financial statements

    bull Incremental cash flows need to be determined Cash flow from

    assets

    bull Project value is determined NPV IRR PI Payback

    Financial statements projecting future yearsrsquo operations Pro forma income

    statement Pro forma balance sheet

    Summarizes all relevant information for a project

    9-43

    Pro Forma Financial

    Statements

    Underwater Adventures Inc specializes in selling unique underwater experiences for scuba divers and snorkelers They have developed a ldquoshark attractantrdquo product to meet

    this demand of customers who want to get close to sharks for better photos to post on social media

    We have been asked to evaluate whether launching this product is a good idea

    9-44

    Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

    100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

    Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-45

    9-46Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

    Sales (50000 units at $400unit) $200000Variable Costs ($250unit) ($125000)Gross Profit $75000Fixed Costs ($12000)Depreciation ($90000 3) ($30000)EBIT $33000Taxes (34) ($11200)

    Net Income $21780

    The pro forma income statement currently does not have any interest expense

    Should interest expense be includedA YesB No

    9-47

    No interest expense is a financing expense and not a component of operating cash flow

    We need to understand the cash flow impacts that result from changes in the balance sheet Investments in working capital (eg higher

    inventory and accounts receivable) Investments in fixed assets (ie capital

    requirements of the project) We donrsquot care about the financing aspects

    of the balance sheet For the same reason we didnrsquot consider interest

    expense in the pro forma income statement9-48

    Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

    100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

    Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-49

    9-50Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

    Year0 1 2 3

    Net Working Capital

    $20000 $20000 $20000 $20000

    Net Fixed Assets

    90000 60000 30000 0

    Total Investment

    $110000 $80000 $50000 $20000

    Net Fixed Assets declines by the amount of depreciation each year

    The process to evaluate a proposed investment is as follows

    9-51

    Pro Forma Financial

    Statements

    Projected Cash Flows

    Estimate Project Value

    9-52

    Net Income Depreciation= +

    Earnings Before Interest amp Taxes Depreciation Taxes= + -

    Operating Cash Flow

    Operating Cash Flow= minus

    Net Capital

    Spending

    Changes in Net

    Working Capital

    Cash Flow from

    Assetsminus

    + Interest

    Will be 0 since interest is not a

    relevant cash flow

    9-53

    Sales (50000 units at $400unit)

    $200000

    Variable Costs ($250unit) (125000)

    Gross profit $ 75000

    Fixed costs (12000)

    Depreciation ($90000 3) (30000)

    EBIT $ 33000

    Taxes (34) (11220)

    Net Income $ 21780=======

    What is the operating cash flow

    A $21750B $33000C $63000D $51780E $63780

    9-54

    Net Income Depreciation= + If no interest expense

    Earnings Before Interest amp Taxes Depreciation Taxes= + -

    Operating Cash Flow

    $21780 $30000= +If no interest

    expense

    $33000 $30000 $11220= + -Operating Cash Flow

    = $51780

    9-55

    Year

    0 1 2 3

    OCF $51780 $51780 $51780

    NWC -$20000 20000

    Capital Spending

    -$90000

    CFFA -$110000 $51780 $51780 $71780

    Note Investment in NWC is recovered in final yearEquipment cost is a cash outflow in year 0

    Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

    9-56Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

    Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

    Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

    Pro Forma Income Statement

    Cash Flows

    The process to evaluate a proposed investment is as follows

    9-57

    Pro Forma Financial

    Statements

    Projected Cash Flows

    Estimate Project Value

    9-58

    Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

    Net Present Value $1064769IRR 2576

    Cash Flows

    We can estimate the project value by calculation the NPV and IRR

    SHARK

    DEPRC

    MMCC

    Scenario

    Sensitivity

    Pro Forma

    9-59

    Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

    Net Present Value $1064769IRR 2576

    Cash Flows

    Should we accept or reject the project

    Acceptbull The NPV is gt 0bull The IRR is greater than the

    required rate of return of 20

    SHARK

    DEPRC

    MMCC

    Scenario

    Sensitivity

    Pro Forma

    9-60

    Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

    Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

    Net Present Value $1064769IRR 2576

    Pro Forma Income Statement

    Cash Flows

    OCF = EBIT + Depreciation ndash TaxesOCF = Net Income + Depreciation (if no interest)

    Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

    SHARK

    DEPRC

    MMCC

    Scenario

    Sensitivity

    Pro Forma

    A new project is expected to generate an operating cash flow of $38728 and will initially free up $11610 in net working capital Purchases of fixed assets costing $52800 will be required to start up the project What is the total cash flow for this project at time zero

    A -$64410

    B -$41190

    C -$52800

    D $25682

    E $50338

    9-61

    The pro forma income statement for a proposed investment should include all of the following except

    A Fixed costsB Forecasted salesC Depreciation expenseD TaxesE Changes in net working capital

    9-62

    9-63

    Sales (50000 units at $400unit)

    $200000

    Variable Costs ($250unit) (125000)

    Gross profit $ 75000

    Fixed costs (12000)

    Depreciation ($90000 3) (30000)

    EBIT $ 33000

    Taxes (34) (11220)

    Net Income $ 21780=======

    What is the operating cash flow (using the approaches already learned)

    A $21750B $33000C $63000D $51780E $63780

    9-64

    Net Income Depreciation= + If no interest expense

    Earnings Before Interest amp Taxes Depreciation Taxes= + -

    Operating Cash Flow

    $21780 $30000= +If no interest

    expense

    $33000 $30000 $11220= + -Operating Cash Flow

    = $51780

    Option 1

    Option 2

    The tax savings that results from the depreciation deduction

    Calculated as depreciation multiplied by the corporate tax rate

    9-65

    Depreciation Tax Shield

    9-66

    (Sales ndash Costs) (1 ndash Tax Rate) = +Operating

    Cash FlowDepreciation Tax Rate

    Option 3

    9-67

    Sales (50000 units at $400unit)

    $200000

    Variable Costs ($250unit) (125000)

    Gross profit $ 75000

    Fixed costs (12000)

    Depreciation ($90000 3) (30000)

    EBIT $ 33000

    Taxes (34) (11220)

    Net Income $ 21780=======

    What is the operating cash flow using the tax shield approach

    9-68

    ($200000 -$137000) 66

    + $30000 34

    = $51780

    =

    (Sales ndash Costs) (1 ndash Tax Rate) = +Operating

    Cash FlowDepreciation Tax Rate

    Which one of the following is the formula for computing operating cash flow

    A Net Income + Depreciation + InterestB Net Income + Depreciation - InterestC EBIT + Depreciation - TaxesD (Sales ndash Costs) (1-Tax Rate) + (Depreciation Tax Rate)E A C and D

    9-69

    Evaluating NPV

    Estimates

    9-70

    Calculating NPV is just an estimate based on the best information available The calculations could be wrong The confidence level in the analysis is a

    judgment call A positive NPV suggests the project may be

    worth doing But more analysis normally would be required

    It is important to understand what the NPV looks like when things donrsquot go as planned

    9-71

    9-72

    If NPV gt 0 Accept the project

    Maybe accept the

    project

    Why maybe

    9-73

    What drives the NPV result

    Projected future cash

    flow

    How do you know your projected estimates are

    accurate

    9-74

    Forecasting Risk

    We need to develop some tools to understand where potential estimate errors may exist

    The possibility that errors (or poor estimates) in projected cash flows will lead to incorrect decisions

    Also called ldquoestimation riskrdquo

    The following tools will help assess the reasonableness of the NPV analysis

    9-75

    What-If Analysis

    Scenario analysis Sensitivity analysis

    Understand sources of value

    Articulate what drives the investment to deliver a positive NPV

    A positive NPV is creating value for the shareholders

    We should understand what is the source of this value

    9-76

    Project Idea Potential Questions to Answer

    New Product bull Is this new product better than the competitionbull Does this new product meet an unmet consumer need

    Marketing Campaign

    bull Is it reasonable that this marketing effort can increase sales as estimated

    CompanyAcquisition

    bull Are there sufficient synergies that can be realized to justify the purchase price

    Cost Improvements

    bull How realistic is it that the expected cost savings will truly materialize in the time frame noted (without unexpected negative impacts)

    9-77

    Scenario Analysis

    The determination of what happens to NPV estimates when we ask what-if questions

    Sensitivity Analysis

    Investigation of what happens to NPV estimates when only one variable is changed

    Scenario and Sensitivity Analysis

    9-78

    Examines several possible situations Worst case Base case or most likely case Best case

    Provides a range of possible outcomes

    Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-79

    Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

    Base Lower UpperUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 5800$ 6200$ Fixed costyear 50000$ 45000$ 55000$

    BASE BEST WORST

    Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

    Project Life 5 yearsTax rate 34Required return 12

    Note ldquoLowerrdquo ne WorstldquoUpperrdquo ne Best

    9-80

    SHARK

    DEPRC

    MMCC

    Scenario

    Sensitivity

    Pro Forma

    Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

    BASE WORST BESTUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 6200$ 5800$ Fixed Cost 50000$ 55000$ 45000$

    Sales 480000$ 412500$ 552500$ Variable Cost 360000 341000 377000Fixed Cost 50000 55000 45000Depreciation 40000 40000 40000EBIT 30000 (23500) 90500Taxes 10200 (7990) 30770Net Income 19800 (15510) 59730 + Deprec 40000 40000 40000

    TOTAL CF 59800 24490 99730

    NPV 15566 (111719) 159504

    IRR 151 -144 409

    9-81

    SHARK

    DEPRC

    MMCC

    Scenario

    Sensitivity

    Pro Forma

    Considers only a few possible outcomes

    Assumes perfectly correlated inputs All ldquobadrdquo values occur together and

    all ldquogoodrdquo values occur together More likely to have some ldquobadrdquo values

    and some ldquogoodrdquo values

    9-82

    Shows how changes in an input variable affect NPV or IRR

    Each variable is fixed except one Change one variable to see the effect

    on NPV or IRR Answers ldquowhat ifrdquo questions

    Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-83

    Unit Sales Sensitivity

    $(8226)

    $15566

    $39357

    -2000000

    -1000000

    000

    1000000

    2000000

    3000000

    4000000

    5000000

    5500 6000 6500

    Unit Sales

    NPV

    Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-84

    SHARK

    DEPRC

    MMCC

    Scenario

    Sensitivity

    Sensitivity (2)

    GRAPH

    GRAPH

    UNITS
    FC
    UNITS
    Fixed Cost
    Change in NPV
    NPV
    Sensitivity Analysis

    Pro Forma

    Chart3

    Y
    Unit Sales
    NPV
    Unit Sales Sensitivity
    -82259060352458
    155656169002312
    393571398357083

    SHARK

    DEPRC

    MMCC

    Scenario

    Sensitivity

    Sensitivity

    Y
    Unit Sales
    NPV
    Unit Sales Sensitivity

    Sensitivity (2)

    GRAPH

    GRAPH

    UNITS
    FC
    UNITS
    Fixed Cost
    Change in NPV
    NPV
    Sensitivity Analysis

    Pro Forma

    Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

    Base Fixed Cost Fixed CostUnits 6000 6000 6000 Priceunit 80$ 80 80Variable costunit 60$ 60 60Fixed costyear 50000$ 55000 45000

    Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

    Tax rate 34Required Return 12

    BASE FC FCUnits 6000 6000 6000 Priceunit 80$ 80$ 80$ Variable costunit 60$ 60$ 60$ Fixed cost 50000$ 55000$ 45000$

    Sales 480000$ 480000$ 480000$ Variable Cost 360000 360000 360000 Fixed Cost 50000 55000 45000 Depreciation 40000 40000 40000 EBIT 30000 25000 35000 Taxes 10200 8500 11900 Net Income 19800 16500 23100 + Deprec 40000 40000 40000

    TOTAL CF 59800 56500 63100

    NPV 15566$ 3670$ 27461$

    Fixed Cost Sensitivity

    $27461

    $15566

    $3670

    000

    500000

    1000000

    1500000

    2000000

    2500000

    3000000

    $45000 $50000 $55000Fixed Cost

    NPV

    9-85

    SHARK

    DEPRC

    MMCC

    Scenario

    Sensitivity_A

    Sensitivity_A

    Y
    Unit Sales
    NPV
    Unit Sales Sensitivity

    Sensitivity (2)

    Y
    Fixed Cost
    NPV
    Fixed Cost Sensitivity

    GRAPH

    Pro Forma

    Pro Forma

    UNITS
    FC
    UNITS
    Fixed Cost
    Change in NPV
    NPV
    Sensitivity Analysis

    Chart4

    Y
    Fixed Cost
    NPV
    Fixed Cost Sensitivity
    274613783679698
    155656169002312
    36698554324927

    SHARK

    DEPRC

    MMCC

    Scenario

    Sensitivity

    Sensitivity

    Y
    Unit Sales
    NPV
    Unit Sales Sensitivity

    Sensitivity (2)

    Y
    Fixed Cost
    NPV
    Fixed Cost Sensitivity

    GRAPH

    Pro Forma

    Pro Forma

    UNITS
    FC
    UNITS
    Fixed Cost
    Change in NPV
    NPV
    Sensitivity Analysis

    Strengths Identifies dangerous variables Gives some breakeven information

    Weaknesses Says nothing about the likelihood of

    change in a variable Ignores relationships among

    variables

    9-86

    Neither provides a decision rule No indication whether a projectrsquos

    expected return is sufficient to compensate for its risk

    Ignores diversification Measures only stand-alone risk which

    may not be the most relevant risk in capital budgeting

    Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-87

    Scenario analysis is best described as the determination of the

    A Most likely outcome for a projectB Reasonable range of project outcomesC Variable that has the greatest effect on a projectrsquos

    outcomeD Effect that a projectrsquos initial cost has on the projectrsquos net

    present valueE Change in a projectrsquos net present value given a stated

    change in projected sales

    9-88

    • FINC311 Principles of Finance
    • Corporate Finance Overview
    • Building Blocks for Decisions
    • Introduction Example
    • Introduction
    • Chapter Objectives
    • Slide Number 7
    • Cash Flow Introduction
    • Relevant Cash Flows
    • Relevant Cash Flows
    • Relevant Cash Flows - Watchouts
    • Opportunity Cost
    • Opportunity Cost Example
    • Opportunity Cost Example
    • Opportunity Cost Example
    • Side Effects
    • Side Effects Erosion
    • Erosion Example
    • Question ndash Side Effects
    • Net Working Capital
    • Changes in Net Working Capital
    • Changes in Net Working Capital
    • Tax Effects
    • After-Tax Salvage Value
    • After-Tax Salvage
    • Computing Depreciation
    • Question
    • Question
    • Question
    • Tax Effect on Salvage
    • Example
    • Salvage Value amp Tax Effects
    • Sunk Cost
    • Sunk Cost Example
    • Financing Costs
    • Relevant Cash Flows - Watchouts
    • Question
    • Question
    • Question
    • Question
    • Slide Number 41
    • Evaluating a Proposed Investment
    • Pro Forma Financial Statements
    • Shark Attractant Project
    • Shark Attractant Project- Assumptions
    • Pro Forma Income Statement
    • Where is the Interest Expense
    • Pro Forma Balance Sheet
    • Shark Attractant Project- Assumptions
    • Projected Capital Requirements
    • Evaluating a Proposed Investment
    • Cash Flow - Definitions
    • Pro Forma Income Statement
    • Operating Cash Flow
    • Projected Total Cash Flows
    • Shark Attractant Project ndash Cash Flows
    • Evaluating a Proposed Investment
    • Estimate Project Value
    • Making the Decision
    • Shark Attractant Project
    • Question
    • Question
    • Pro Forma Income Statement
    • Operating Cash Flow
    • Depreciation Tax Shield
    • The Tax Shield Approach to OCF
    • Pro Forma Income Statement
    • The Tax Shield Approach to OCF
    • Question
    • Slide Number 70
    • Intro to Evaluating NPV
    • NPV Decision Rule
    • Risk with NPV Analysis
    • NPV ndash Forecasting Risk
    • Tools to Evaluate NPV Analysis
    • Understanding Sources of Value
    • Scenario and Sensitivity Analysis
    • Slide Number 78
    • Scenario Analysis
    • Scenario Analysis Example
    • Scenario Analysis Example
    • Problems with Scenario Analysis
    • Sensitivity Analysis
    • Sensitivity Analysis Unit Sales
    • Sensitivity Analysis Fixed Costs
    • Sensitivity Analysis
    • Disadvantages of Sensitivity and Scenario Analysis
    • Question
      Pro Forma Income Statements
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC(20000)20000
      Net Capital Spending(90000)
      Cash Flow From Assets(110000)517805178071780
      Net Present Value$1064769
      IRR2576
      -30-20-100102030
      UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
      FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
      Sensitivity Analysis
      -30-20-100102030-30-20-100102030
      BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
      Units60004200480054006000660072007800Units60006000600060006000600060006000
      Priceunit$ 8080808080808080Priceunit$ 8080808080808080
      Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
      Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
      Initial investment$ 200000Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000Deprecyr$ 40000
      Tax rate34Tax rate34
      Required Return12Required Return12
      BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
      Units60004200480054006000660072007800Units60006000600060006000600060006000
      Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
      Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
      Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
      Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
      Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
      Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
      Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
      EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
      Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
      Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
      + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
      TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
      NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
      Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
      Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
      SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
      INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
      Sensitivity Ratio = ( Change in NPV) Change in Variable
      Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
      Negative = Inverse relationshipPositive = Direct relationship
      Negative = Inverse relationship
      $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
      5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      5980069700664006310059800565005320049900
      PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
      NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
      NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
      Sensitivity Analysis
      BaseUnitsUnitsFixed CostFixed Cost
      Units60005500650060006000
      Priceunit$ 8080808080
      Variable costunit$ 6060606060UNITS
      Fixed costyear$ 5000050000500005500045000X550060006500
      Y$ (8226)$ 15566$ 39357
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Tax rate34
      Required Return12
      BASEUNITSUNITSFCFC
      Units60005500650060006000
      Priceunit$ 80$ 80$ 80$ 80$ 80
      Variable costunit$ 60$ 60$ 60$ 60$ 60
      Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
      Sales$ 480000$ 440000$ 520000$ 480000$ 480000
      Variable Cost360000330000390000360000360000
      Fixed Cost5000050000500005500045000
      Depreciation4000040000400004000040000
      EBIT3000020000400002500035000
      Taxes10200680013600850011900
      Net Income1980013200264001650023100
      + Deprec4000040000400004000040000
      TOTAL CF5980053200664005650063100
      NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
      FC
      $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)X$ 45000$ 50000$ 55000
      5980053200664005650063100Y$ 27461$ 15566$ 3670
      5980053200664005650063100
      5980053200664005650063100
      5980053200664005650063100
      5980053200664005650063100
      PV$ 215566$ 191774$ 239357$ 203670$ 227461
      NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
      Scenario Analysis
      BaseLowerUpper
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 5800$ 6200
      Fixed costyear$ 50000$ 45000$ 55000
      BASEBESTWORST
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Project Life5years
      Tax rate34
      Required return12
      BASEWORSTBEST
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 6200$ 5800
      Fixed Cost$ 50000$ 55000$ 45000
      Sales$ 480000$ 412500$ 552500
      Variable Cost360000341000377000
      Fixed Cost500005500045000
      Depreciation400004000040000
      EBIT30000(23500)90500
      Taxes10200(7990)30770
      Net Income19800(15510)59730
      + Deprec400004000040000
      TOTAL CF598002449099730
      NPV15566(111719)159504
      IRR151-144409
      NOTENote in WORST CASE tax credit for negative earnings
      $ (200000)$ (200000)$ (200000)
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      PV$215566$88281$359504
      NPV15566(111719)159504
      Majestic Mulch and Compost Company (MMCC)
      YEAR012345678
      Background Data
      Unit Sales Estimates30005000600065006000500040003000
      Variable Cost unit$ 6000
      Fixed Costs per year$ 2500000
      Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
      Tax Rate340
      Required Return on Project150
      Yr 0 NWC$ 2000000
      NWC of sales15
      Equipment cost - installed$ 800000
      Salvage Value in year 820of equipment cost
      Depreciation Calculations
      Equipment Depreciable Base800000
      MACRS (Eqpt-7 yr)1429244917491249892893893446
      Recovery Allowance1143201959201399209992071360714407144035680
      Book Value685680489760349840249920178560107120356800
      After-Tax Salvage Value
      Salvage Value20160000
      Book Value (Year 8)0
      Capital GainLoss160000
      Taxes54400
      Net SV (SV-Taxes)105600
      Required Net Working Capital Investment
      20000540009000010800010725099000825006600049500
      YEAR012345678
      Initial Investment
      Equipment Cost(800000)
      Sales360000600000720000715000660000550000440000330000
      Variable Costs180000300000360000390000360000300000240000180000
      Fixed Costs2500025000250002500025000250002500025000
      Depreciation (Eqpt))1143201959201399209992071360714407144035680
      EBT406807908019508020008020364015356010356089320
      Taxes1383126887663276802769238522103521030369
      Net Operating Income26849521931287531320531344021013506835058951
      Add back Depreciation1143201959201399209992071360714407144035680
      CASH FLOW from Operations14116924811326867323197320576217279013979094631
      NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
      Salvage Value105600
      TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
      Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
      Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
      NPV$65483
      IRR1724
      Payback408
      Depreciation5-year Asset
      YearBeg BVDeprDeprecEnd BV
      1$ 12000002000$ 240000$ 960000
      2$ 9600003200$ 384000$ 576000
      3$ 5760001920$ 230400$ 345600
      4$ 3456001152$ 138240$ 207360
      5$ 2073601152$ 138240$ 69120
      6$ 69120576$ 69120$ - 0
      10000$ 1200000
      EOY 5$3000$221501$78499
      EOY 2$4000$459840($59840)
      Pro Forma Income Statement
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC-2000020000
      Net Capital Spending-90000
      Cash Flow From Assets-110000517805178071780
      Net Present Value$1064769
      IRR2576
      45000
      50000
      55000
      Pro Forma Income Statements
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC(20000)20000
      Net Capital Spending(90000)
      Cash Flow From Assets(110000)517805178071780
      Net Present Value$1064769
      IRR2576
      -30-20-100102030
      UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
      FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
      Sensitivity Analysis
      -30-20-100102030-30-20-100102030
      BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
      Units60004200480054006000660072007800Units60006000600060006000600060006000
      Priceunit$ 8080808080808080Priceunit$ 8080808080808080
      Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
      Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
      Initial investment$ 200000Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000Deprecyr$ 40000
      Tax rate34Tax rate34
      Required Return12Required Return12
      BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
      Units60004200480054006000660072007800Units60006000600060006000600060006000
      Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
      Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
      Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
      Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
      Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
      Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
      Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
      EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
      Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
      Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
      + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
      TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
      NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
      Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
      Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
      SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
      INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
      Sensitivity Ratio = ( Change in NPV) Change in Variable
      Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
      Negative = Inverse relationshipPositive = Direct relationship
      Negative = Inverse relationship
      $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
      5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      5980069700664006310059800565005320049900
      PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
      NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
      NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
      Sensitivity Analysis
      BaseUnitsUnitsFixed CostFixed Cost
      Units60005500650060006000
      Priceunit$ 8080808080
      Variable costunit$ 6060606060UNITS
      Fixed costyear$ 5000050000500005500045000X550060006500
      Y$ (8226)$ 15566$ 39357
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Tax rate34
      Required Return12
      BASEUNITSUNITSFCFC
      Units60005500650060006000
      Priceunit$ 80$ 80$ 80$ 80$ 80
      Variable costunit$ 60$ 60$ 60$ 60$ 60
      Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
      Sales$ 480000$ 440000$ 520000$ 480000$ 480000
      Variable Cost360000330000390000360000360000
      Fixed Cost5000050000500005500045000
      Depreciation4000040000400004000040000
      EBIT3000020000400002500035000
      Taxes10200680013600850011900
      Net Income1980013200264001650023100
      + Deprec4000040000400004000040000
      TOTAL CF5980053200664005650063100
      NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
      FC
      $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)X$ 45000$ 50000$ 55000
      5980053200664005650063100Y$ 27461$ 15566$ 3670
      5980053200664005650063100
      5980053200664005650063100
      5980053200664005650063100
      5980053200664005650063100
      PV$ 215566$ 191774$ 239357$ 203670$ 227461
      NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
      Scenario Analysis
      BaseLowerUpper
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 5800$ 6200
      Fixed costyear$ 50000$ 45000$ 55000
      BASEBESTWORST
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Project Life5years
      Tax rate34
      Required return12
      BASEWORSTBEST
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 6200$ 5800
      Fixed Cost$ 50000$ 55000$ 45000
      Sales$ 480000$ 412500$ 552500
      Variable Cost360000341000377000
      Fixed Cost500005500045000
      Depreciation400004000040000
      EBIT30000(23500)90500
      Taxes10200(7990)30770
      Net Income19800(15510)59730
      + Deprec400004000040000
      TOTAL CF598002449099730
      NPV15566(111719)159504
      IRR151-144409
      NOTENote in WORST CASE tax credit for negative earnings
      $ (200000)$ (200000)$ (200000)
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      PV$215566$88281$359504
      NPV15566(111719)159504
      Majestic Mulch and Compost Company (MMCC)
      YEAR012345678
      Background Data
      Unit Sales Estimates30005000600065006000500040003000
      Variable Cost unit$ 6000
      Fixed Costs per year$ 2500000
      Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
      Tax Rate340
      Required Return on Project150
      Yr 0 NWC$ 2000000
      NWC of sales15
      Equipment cost - installed$ 800000
      Salvage Value in year 820of equipment cost
      Depreciation Calculations
      Equipment Depreciable Base800000
      MACRS (Eqpt-7 yr)1429244917491249892893893446
      Recovery Allowance1143201959201399209992071360714407144035680
      Book Value685680489760349840249920178560107120356800
      After-Tax Salvage Value
      Salvage Value20160000
      Book Value (Year 8)0
      Capital GainLoss160000
      Taxes54400
      Net SV (SV-Taxes)105600
      Required Net Working Capital Investment
      20000540009000010800010725099000825006600049500
      YEAR012345678
      Initial Investment
      Equipment Cost(800000)
      Sales360000600000720000715000660000550000440000330000
      Variable Costs180000300000360000390000360000300000240000180000
      Fixed Costs2500025000250002500025000250002500025000
      Depreciation (Eqpt))1143201959201399209992071360714407144035680
      EBT406807908019508020008020364015356010356089320
      Taxes1383126887663276802769238522103521030369
      Net Operating Income26849521931287531320531344021013506835058951
      Add back Depreciation1143201959201399209992071360714407144035680
      CASH FLOW from Operations14116924811326867323197320576217279013979094631
      NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
      Salvage Value105600
      TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
      Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
      Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
      NPV$65483
      IRR1724
      Payback408
      Depreciation5-year Asset
      YearBeg BVDeprDeprecEnd BV
      1$ 12000002000$ 240000$ 960000
      2$ 9600003200$ 384000$ 576000
      3$ 5760001920$ 230400$ 345600
      4$ 3456001152$ 138240$ 207360
      5$ 2073601152$ 138240$ 69120
      6$ 69120576$ 69120$ - 0
      10000$ 1200000
      EOY 5$3000$221501$78499
      EOY 2$4000$459840($59840)
      Pro Forma Income Statement
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC-2000020000
      Net Capital Spending-90000
      Cash Flow From Assets-110000517805178071780
      Net Present Value$1064769
      IRR2576
      Pro Forma Income Statements
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC(20000)20000
      Net Capital Spending(90000)
      Cash Flow From Assets(110000)517805178071780
      Net Present Value$1064769
      IRR2576
      -30-20-100102030
      UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
      FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
      Sensitivity Analysis
      -30-20-100102030-30-20-100102030
      BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
      Units60004200480054006000660072007800Units60006000600060006000600060006000
      Priceunit$ 8080808080808080Priceunit$ 8080808080808080
      Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
      Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
      Initial investment$ 200000Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000Deprecyr$ 40000
      Tax rate34Tax rate34
      Required Return12Required Return12
      BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
      Units60004200480054006000660072007800Units60006000600060006000600060006000
      Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
      Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
      Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
      Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
      Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
      Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
      Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
      EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
      Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
      Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
      + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
      TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
      NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
      Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
      Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
      SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
      INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
      Sensitivity Ratio = ( Change in NPV) Change in Variable
      Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
      Negative = Inverse relationshipPositive = Direct relationship
      Negative = Inverse relationship
      $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
      5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      5980069700664006310059800565005320049900
      PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
      NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
      NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
      Sensitivity Analysis
      BaseUnitsUnitsFixed CostFixed Cost
      Units60005500650060006000
      Priceunit$ 8080808080
      Variable costunit$ 6060606060
      Fixed costyear$ 5000050000500005500045000X550060006500
      Y$ (8226)$ 15566$ 39357
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Tax rate34
      Required Return12
      BASEUNITSUNITSFCFC
      Units60005500650060006000
      Priceunit$ 80$ 80$ 80$ 80$ 80
      Variable costunit$ 60$ 60$ 60$ 60$ 60
      Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
      Sales$ 480000$ 440000$ 520000$ 480000$ 480000
      Variable Cost360000330000390000360000360000
      Fixed Cost5000050000500005500045000
      Depreciation4000040000400004000040000
      EBIT3000020000400002500035000
      Taxes10200680013600850011900
      Net Income1980013200264001650023100
      + Deprec4000040000400004000040000
      TOTAL CF5980053200664005650063100
      NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
      $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
      5980053200664005650063100
      5980053200664005650063100
      5980053200664005650063100
      5980053200664005650063100
      5980053200664005650063100
      PV$ 215566$ 191774$ 239357$ 203670$ 227461
      NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
      Scenario Analysis
      BaseLowerUpper
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 5800$ 6200
      Fixed costyear$ 50000$ 45000$ 55000
      BASEBESTWORST
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Project Life5years
      Tax rate34
      Required return12
      BASEWORSTBEST
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 6200$ 5800
      Fixed Cost$ 50000$ 55000$ 45000
      Sales$ 480000$ 412500$ 552500
      Variable Cost360000341000377000
      Fixed Cost500005500045000
      Depreciation400004000040000
      EBIT30000(23500)90500
      Taxes10200(7990)30770
      Net Income19800(15510)59730
      + Deprec400004000040000
      TOTAL CF598002449099730
      NPV15566(111719)159504
      IRR151-144409
      NOTENote in WORST CASE tax credit for negative earnings
      $ (200000)$ (200000)$ (200000)
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      PV$215566$88281$359504
      NPV15566(111719)159504
      Majestic Mulch and Compost Company (MMCC)
      YEAR012345678
      Background Data
      Unit Sales Estimates30005000600065006000500040003000
      Variable Cost unit$ 6000
      Fixed Costs per year$ 2500000
      Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
      Tax Rate340
      Required Return on Project150
      Yr 0 NWC$ 2000000
      NWC of sales15
      Equipment cost - installed$ 800000
      Salvage Value in year 820of equipment cost
      Depreciation Calculations
      Equipment Depreciable Base800000
      MACRS (Eqpt-7 yr)1429244917491249892893893446
      Recovery Allowance1143201959201399209992071360714407144035680
      Book Value685680489760349840249920178560107120356800
      After-Tax Salvage Value
      Salvage Value20160000
      Book Value (Year 8)0
      Capital GainLoss160000
      Taxes54400
      Net SV (SV-Taxes)105600
      Required Net Working Capital Investment
      20000540009000010800010725099000825006600049500
      YEAR012345678
      Initial Investment
      Equipment Cost(800000)
      Sales360000600000720000715000660000550000440000330000
      Variable Costs180000300000360000390000360000300000240000180000
      Fixed Costs2500025000250002500025000250002500025000
      Depreciation (Eqpt))1143201959201399209992071360714407144035680
      EBT406807908019508020008020364015356010356089320
      Taxes1383126887663276802769238522103521030369
      Net Operating Income26849521931287531320531344021013506835058951
      Add back Depreciation1143201959201399209992071360714407144035680
      CASH FLOW from Operations14116924811326867323197320576217279013979094631
      NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
      Salvage Value105600
      TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
      Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
      Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
      NPV$65483
      IRR1724
      Payback408
      Depreciation5-year Asset
      YearBeg BVDeprDeprecEnd BV
      1$ 12000002000$ 240000$ 960000
      2$ 9600003200$ 384000$ 576000
      3$ 5760001920$ 230400$ 345600
      4$ 3456001152$ 138240$ 207360
      5$ 2073601152$ 138240$ 69120
      6$ 69120576$ 69120$ - 0
      10000$ 1200000
      EOY 5$3000$221501$78499
      EOY 2$4000$459840($59840)
      Pro Forma Income Statement
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC-2000020000
      Net Capital Spending-90000
      Cash Flow From Assets-110000517805178071780
      Net Present Value$1064769
      IRR2576
      5500
      6000
      6500
      Pro Forma Income Statements
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC(20000)20000
      Net Capital Spending(90000)
      Cash Flow From Assets(110000)517805178071780
      Net Present Value$1064769
      IRR2576
      -30-20-100102030
      UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
      FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
      Sensitivity Analysis
      -30-20-100102030-30-20-100102030
      BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
      Units60004200480054006000660072007800Units60006000600060006000600060006000
      Priceunit$ 8080808080808080Priceunit$ 8080808080808080
      Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
      Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
      Initial investment$ 200000Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000Deprecyr$ 40000
      Tax rate34Tax rate34
      Required Return12Required Return12
      BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
      Units60004200480054006000660072007800Units60006000600060006000600060006000
      Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
      Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
      Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
      Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
      Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
      Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
      Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
      EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
      Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
      Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
      + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
      TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
      NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
      Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
      Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
      SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
      INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
      Sensitivity Ratio = ( Change in NPV) Change in Variable
      Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
      Negative = Inverse relationshipPositive = Direct relationship
      Negative = Inverse relationship
      $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
      5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      59800360404396051880598006772075640835605980069700664006310059800565005320049900
      5980069700664006310059800565005320049900
      PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
      NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
      NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
      Sensitivity Analysis
      BaseUnitsUnitsFixed CostFixed Cost
      Units60005500650060006000
      Priceunit$ 8080808080
      Variable costunit$ 6060606060
      Fixed costyear$ 5000050000500005500045000
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Tax rate34
      Required Return12
      BASEUNITSUNITSFCFC
      Units60005500650060006000
      Priceunit$ 80$ 80$ 80$ 80$ 80
      Variable costunit$ 60$ 60$ 60$ 60$ 60
      Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
      Sales$ 480000$ 440000$ 520000$ 480000$ 480000
      Variable Cost360000330000390000360000360000
      Fixed Cost5000050000500005500045000
      Depreciation4000040000400004000040000
      EBIT3000020000400002500035000
      Taxes10200680013600850011900
      Net Income1980013200264001650023100
      + Deprec4000040000400004000040000
      TOTAL CF5980053200664005650063100
      NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
      $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
      5980053200664005650063100
      5980053200664005650063100
      5980053200664005650063100
      5980053200664005650063100
      5980053200664005650063100
      PV$ 215566$ 191774$ 239357$ 203670$ 227461
      NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
      Scenario Analysis
      BaseLowerUpper
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 5800$ 6200
      Fixed costyear$ 50000$ 45000$ 55000
      BASEBESTWORST
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Project Life5years
      Tax rate34
      Required return12
      BASEWORSTBEST
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 6200$ 5800
      Fixed Cost$ 50000$ 55000$ 45000
      Sales$ 480000$ 412500$ 552500
      Variable Cost360000341000377000
      Fixed Cost500005500045000
      Depreciation400004000040000
      EBIT30000(23500)90500
      Taxes10200(7990)30770
      Net Income19800(15510)59730
      + Deprec400004000040000
      TOTAL CF598002449099730
      NPV15566(111719)159504
      IRR151-144409
      NOTENote in WORST CASE tax credit for negative earnings
      $ (200000)$ (200000)$ (200000)
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      PV$215566$88281$359504
      NPV15566(111719)159504
      Majestic Mulch and Compost Company (MMCC)
      YEAR012345678
      Background Data
      Unit Sales Estimates30005000600065006000500040003000
      Variable Cost unit$ 6000
      Fixed Costs per year$ 2500000
      Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
      Tax Rate340
      Required Return on Project150
      Yr 0 NWC$ 2000000
      NWC of sales15
      Equipment cost - installed$ 800000
      Salvage Value in year 820of equipment cost
      Depreciation Calculations
      Equipment Depreciable Base800000
      MACRS (Eqpt-7 yr)1429244917491249892893893446
      Recovery Allowance1143201959201399209992071360714407144035680
      Book Value685680489760349840249920178560107120356800
      After-Tax Salvage Value
      Salvage Value20160000
      Book Value (Year 8)0
      Capital GainLoss160000
      Taxes54400
      Net SV (SV-Taxes)105600
      Required Net Working Capital Investment
      20000540009000010800010725099000825006600049500
      YEAR012345678
      Initial Investment
      Equipment Cost(800000)
      Sales360000600000720000715000660000550000440000330000
      Variable Costs180000300000360000390000360000300000240000180000
      Fixed Costs2500025000250002500025000250002500025000
      Depreciation (Eqpt))1143201959201399209992071360714407144035680
      EBT406807908019508020008020364015356010356089320
      Taxes1383126887663276802769238522103521030369
      Net Operating Income26849521931287531320531344021013506835058951
      Add back Depreciation1143201959201399209992071360714407144035680
      CASH FLOW from Operations14116924811326867323197320576217279013979094631
      NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
      Salvage Value105600
      TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
      Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
      Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
      NPV$65483
      IRR1724
      Payback408
      Depreciation5-year Asset
      YearBeg BVDeprDeprecEnd BV
      1$ 12000002000$ 240000$ 960000
      2$ 9600003200$ 384000$ 576000
      3$ 5760001920$ 230400$ 345600
      4$ 3456001152$ 138240$ 207360
      5$ 2073601152$ 138240$ 69120
      6$ 69120576$ 69120$ - 0
      10000$ 1200000
      EOY 5$3000$221501$78499
      EOY 2$4000$459840($59840)
      Pro Forma Income Statement
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC-2000020000
      Net Capital Spending-90000
      Cash Flow From Assets-110000517805178071780
      Net Present Value$1064769
      IRR2576
      Pro Forma Income Statements
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC(20000)20000
      Net Capital Spending(90000)
      Cash Flow From Assets(110000)517805178071780
      Net Present Value$1064769
      IRR2576
      Sensitivity Analysis
      BaseUnitsFixed Cost
      Units600055006000
      Priceunit$ 808080
      Variable costunit$ 606060
      Fixed costyear$ 500005000055000
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Tax rate34
      Required Return12
      BASEUNITSFC
      Units600055006000
      Priceunit$ 80$ 80$ 80
      Variable costunit$ 60$ 60$ 60
      Fixed cost$ 50000$ 50000$ 55000
      Sales$ 480000$ 440000$ 480000
      Variable Cost360000330000360000
      Fixed Cost500005000055000
      Depreciation400004000040000
      EBIT300002000025000
      Taxes1020068008500
      Net Income198001320016500
      + Deprec400004000040000
      TOTAL CF598005320056500
      NPV$ 15566$ (8226)$ 3670
      Change in NPV-1528-764
      Change in Variable-83100
      SENSITIVITY RATIO1834-764
      DIRECTINVERSE
      Sensitivity Ratio = ( Change in NPV) Change in Variable
      Positive = Direct relationship
      Negative = Inverse relationship
      $ (200000)$ (200000)$ (200000)
      598005320056500
      598005320056500
      598005320056500
      598005320056500
      598005320056500
      PV$ 215566$ 191774$ 203670
      NPV$ 15566$ (8226)$ 3670
      Scenario Analysis
      BaseLowerUpper
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 5800$ 6200
      Fixed costyear$ 50000$ 45000$ 55000
      BASEBESTWORST
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Project Life5years
      Tax rate34
      Required return12
      BASEWORSTBEST
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 6200$ 5800
      Fixed Cost$ 50000$ 55000$ 45000
      Sales$ 480000$ 412500$ 552500
      Variable Cost360000341000377000
      Fixed Cost500005500045000
      Depreciation400004000040000
      EBIT30000(23500)90500
      Taxes10200(7990)30770
      Net Income19800(15510)59730
      + Deprec400004000040000
      TOTAL CF598002449099730
      NPV15566(111719)159504
      IRR151-144409
      NOTENote in WORST CASE tax credit for negative earnings
      $ (200000)$ (200000)$ (200000)
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      PV$215566$88281$359504
      NPV15566(111719)159504
      Majestic Mulch and Compost Company (MMCC)
      YEAR012345678
      Background Data
      Unit Sales Estimates30005000600065006000500040003000
      Variable Cost unit$ 6000
      Fixed Costs per year$ 2500000
      Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
      Tax Rate340
      Required Return on Project150
      Yr 0 NWC$ 2000000
      NWC of sales15
      Equipment cost - installed$ 800000
      Salvage Value in year 820of equipment cost
      Depreciation Calculations
      Equipment Depreciable Base800000
      MACRS (Eqpt-7 yr)1429244917491249892893893446
      Recovery Allowance1143201959201399209992071360714407144035680
      Book Value685680489760349840249920178560107120356800
      After-Tax Salvage Value
      Salvage Value20160000
      Book Value (Year 8)0
      Capital GainLoss160000
      Taxes54400
      Net SV (SV-Taxes)105600
      Required Net Working Capital Investment
      20000540009000010800010725099000825006600049500
      YEAR012345678
      Initial Investment
      Equipment Cost(800000)
      Sales360000600000720000715000660000550000440000330000
      Variable Costs180000300000360000390000360000300000240000180000
      Fixed Costs2500025000250002500025000250002500025000
      Depreciation (Eqpt))1143201959201399209992071360714407144035680
      EBT406807908019508020008020364015356010356089320
      Taxes1383126887663276802769238522103521030369
      Net Operating Income26849521931287531320531344021013506835058951
      Add back Depreciation1143201959201399209992071360714407144035680
      CASH FLOW from Operations14116924811326867323197320576217279013979094631
      NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
      Salvage Value105600
      TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
      Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
      Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
      NPV$65483
      IRR1724
      Payback408
      Depreciation5-year Asset
      YearBeg BVDeprDeprecEnd BV
      1$ 12000002000$ 240000$ 960000
      2$ 9600003200$ 384000$ 576000
      3$ 5760001920$ 230400$ 345600
      4$ 3456001152$ 138240$ 207360
      5$ 2073601152$ 138240$ 69120
      6$ 69120576$ 69120$ - 0
      10000$ 1200000
      EOY 5$3000$221501$78499
      EOY 2$4000$459840($59840)
      Pro Forma Income Statement
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC-2000020000
      Net Capital Spending-90000
      Cash Flow From Assets-110000517805178071780
      Net Present Value$1064769
      IRR2576
      Pro Forma Income Statements
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC(20000)20000
      Net Capital Spending(90000)
      Cash Flow From Assets(110000)517805178071780
      Net Present Value$1064769
      IRR2576
      Sensitivity Analysis
      BaseUnitsFixed Cost
      Units600055006000
      Priceunit$ 808080
      Variable costunit$ 606060
      Fixed costyear$ 500005000055000
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Tax rate34
      Required Return12
      BASEUNITSFC
      Units600055006000
      Priceunit$ 80$ 80$ 80
      Variable costunit$ 60$ 60$ 60
      Fixed cost$ 50000$ 50000$ 55000
      Sales$ 480000$ 440000$ 480000
      Variable Cost360000330000360000
      Fixed Cost500005000055000
      Depreciation400004000040000
      EBIT300002000025000
      Taxes1020068008500
      Net Income198001320016500
      + Deprec400004000040000
      TOTAL CF598005320056500
      NPV$ 15566$ (8226)$ 3670
      Change in NPV-1528-764
      Change in Variable-83100
      SENSITIVITY RATIO1834-764
      DIRECTINVERSE
      Sensitivity Ratio = ( Change in NPV) Change in Variable
      Positive = Direct relationship
      Negative = Inverse relationship
      $ (200000)$ (200000)$ (200000)
      598005320056500
      598005320056500
      598005320056500
      598005320056500
      598005320056500
      PV$ 215566$ 191774$ 203670
      NPV$ 15566$ (8226)$ 3670
      Scenario Analysis
      BaseLowerUpper
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 5800$ 6200
      Fixed costyear$ 50000$ 45000$ 55000
      BASEBESTWORST
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Project Life5years
      Tax rate34
      Required return12
      BASEWORSTBEST
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 6200$ 5800
      Fixed Cost$ 50000$ 55000$ 45000
      Sales$ 480000$ 412500$ 552500
      Variable Cost360000341000377000
      Fixed Cost500005500045000
      Depreciation400004000040000
      EBIT30000(23500)90500
      Taxes10200(7990)30770
      Net Income19800(15510)59730
      + Deprec400004000040000
      TOTAL CF598002449099730
      NPV15566(111719)159504
      IRR151-144409
      NOTENote in WORST CASE tax credit for negative earnings
      $ (200000)$ (200000)$ (200000)
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      PV$215566$88281$359504
      NPV15566(111719)159504
      Majestic Mulch and Compost Company (MMCC)
      YEAR012345678
      Background Data
      Unit Sales Estimates30005000600065006000500040003000
      Variable Cost unit$ 6000
      Fixed Costs per year$ 2500000
      Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
      Tax Rate340
      Required Return on Project150
      Yr 0 NWC$ 2000000
      NWC of sales15
      Equipment cost - installed$ 800000
      Salvage Value in year 820of equipment cost
      Depreciation Calculations
      Equipment Depreciable Base800000
      MACRS (Eqpt-7 yr)1429244917491249892893893446
      Recovery Allowance1143201959201399209992071360714407144035680
      Book Value685680489760349840249920178560107120356800
      After-Tax Salvage Value
      Salvage Value20160000
      Book Value (Year 8)0
      Capital GainLoss160000
      Taxes54400
      Net SV (SV-Taxes)105600
      Required Net Working Capital Investment
      20000540009000010800010725099000825006600049500
      YEAR012345678
      Initial Investment
      Equipment Cost(800000)
      Sales360000600000720000715000660000550000440000330000
      Variable Costs180000300000360000390000360000300000240000180000
      Fixed Costs2500025000250002500025000250002500025000
      Depreciation (Eqpt))1143201959201399209992071360714407144035680
      EBT406807908019508020008020364015356010356089320
      Taxes1383126887663276802769238522103521030369
      Net Operating Income26849521931287531320531344021013506835058951
      Add back Depreciation1143201959201399209992071360714407144035680
      CASH FLOW from Operations14116924811326867323197320576217279013979094631
      NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
      Salvage Value105600
      TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
      Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
      Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
      NPV$65483
      IRR1724
      Payback408
      Depreciation5-year Asset
      YearBeg BVDeprDeprecEnd BV
      1$ 12000002000$ 240000$ 960000
      2$ 9600003200$ 384000$ 576000
      3$ 5760001920$ 230400$ 345600
      4$ 3456001152$ 138240$ 207360
      5$ 2073601152$ 138240$ 69120
      6$ 69120576$ 69120$ - 0
      10000$ 1200000
      EOY 5$3000$221501$78499
      EOY 2$4000$459840($59840)
      Pro Forma Income Statement
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC-2000020000
      Net Capital Spending-90000
      Cash Flow From Assets-110000517805178071780
      Net Present Value$1064769
      IRR2576
      Pro Forma Income Statements
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC(20000)20000
      Net Capital Spending(90000)
      Cash Flow From Assets(110000)517805178071780
      Net Present Value$1064769
      IRR2576
      Sensitivity Analysis
      BaseUnitsFixed Cost
      Units600055006000
      Priceunit$ 808080
      Variable costunit$ 606060
      Fixed costyear$ 500005000055000
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Tax rate34
      Required Return12
      BASEUNITSFC
      Units600055006000
      Priceunit$ 80$ 80$ 80
      Variable costunit$ 60$ 60$ 60
      Fixed cost$ 50000$ 50000$ 55000
      Sales$ 480000$ 440000$ 480000
      Variable Cost360000330000360000
      Fixed Cost500005000055000
      Depreciation400004000040000
      EBIT300002000025000
      Taxes1020068008500
      Net Income198001320016500
      + Deprec400004000040000
      TOTAL CF598005320056500
      NPV$ 15566$ (8226)$ 3670
      Change in NPV-1528-764
      Change in Variable-83100
      SENSITIVITY RATIO1834-764
      DIRECTINVERSE
      Sensitivity Ratio = ( Change in NPV) Change in Variable
      Positive = Direct relationship
      Negative = Inverse relationship
      $ (200000)$ (200000)$ (200000)
      598005320056500
      598005320056500
      598005320056500
      598005320056500
      598005320056500
      PV$ 215566$ 191774$ 203670
      NPV$ 15566$ (8226)$ 3670
      Scenario Analysis
      BaseLowerUpper
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 5800$ 6200
      Fixed costyear$ 50000$ 45000$ 55000
      BASEBESTWORST
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Project Life5years
      Tax rate34
      Required return12
      BASEWORSTBEST
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 6200$ 5800
      Fixed Cost$ 50000$ 55000$ 45000
      Sales$ 480000$ 412500$ 552500
      Variable Cost360000341000377000
      Fixed Cost500005500045000
      Depreciation400004000040000
      EBIT30000(23500)90500
      Taxes10200(7990)30770
      Net Income19800(15510)59730
      + Deprec400004000040000
      TOTAL CF598002449099730
      NPV15566(111719)159504
      IRR151-144409
      NOTENote in WORST CASE tax credit for negative earnings
      $ (200000)$ (200000)$ (200000)
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      PV$215566$88281$359504
      NPV15566(111719)159504
      Majestic Mulch and Compost Company (MMCC)
      YEAR012345678
      Background Data
      Unit Sales Estimates30005000600065006000500040003000
      Variable Cost unit$ 6000
      Fixed Costs per year$ 2500000
      Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
      Tax Rate340
      Required Return on Project150
      Yr 0 NWC$ 2000000
      NWC of sales15
      Equipment cost - installed$ 800000
      Salvage Value in year 820of equipment cost
      Depreciation Calculations
      Equipment Depreciable Base800000
      MACRS (Eqpt-7 yr)1429244917491249893893893445
      Recovery Allowance1143201959201399209992071440714407144035600
      Book Value685680489760349840249920178480107040356000
      After-Tax Salvage Value
      Salvage Value20160000
      Book Value (Year 8)0
      Capital GainLoss160000
      Taxes54400
      Net SV (SV-Taxes)105600
      Required Net Working Capital Investment
      20000540009000010800010725099000825006600049500
      YEAR012345678
      Initial Investment
      Equipment Cost(800000)
      Sales360000600000720000715000660000550000440000330000
      Variable Costs180000300000360000390000360000300000240000180000
      Fixed Costs2500025000250002500025000250002500025000
      Depreciation (Eqpt))1143201959201399209992071440714407144035600
      EBT406807908019508020008020356015356010356089400
      Taxes1383126887663276802769210522103521030396
      Net Operating Income26849521931287531320531343501013506835059004
      Add back Depreciation1143201959201399209992071440714407144035600
      CASH FLOW from Operations14116924811326867323197320579017279013979094604
      NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
      Salvage Value105600
      TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
      Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
      NPV$ 65488
      IRR1724
      Depreciation5-year Asset
      YearBeg BVDeprDeprecEnd BV
      1$ 12000002000$ 240000$ 960000
      2$ 9600003200$ 384000$ 576000
      3$ 5760001920$ 230400$ 345600
      4$ 3456001152$ 138240$ 207360
      5$ 2073601152$ 138240$ 69120
      6$ 69120576$ 69120$ - 0
      10000$ 1200000
      EOY 5$3000$221501$78499
      EOY 2$4000$459840($59840)
      Pro Forma Income Statement
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC-2000020000
      Net Capital Spending-90000
      Cash Flow From Assets-110000517805178071780
      Net Present Value$1064769
      IRR2576
      Pro Forma Income Statements
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC(20000)20000
      Net Capital Spending(90000)
      Cash Flow From Assets(110000)517805178071780
      Net Present Value$1064769
      IRR2576
      Sensitivity Analysis
      BaseUnitsFixed Cost
      Units600055006000
      Priceunit$ 808080
      Variable costunit$ 606060
      Fixed costyear$ 500005000055000
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Tax rate34
      Required Return12
      BASEUNITSFC
      Units600055006000
      Priceunit$ 80$ 80$ 80
      Variable costunit$ 60$ 60$ 60
      Fixed cost$ 50000$ 50000$ 55000
      Sales$ 480000$ 440000$ 480000
      Variable Cost360000330000360000
      Fixed Cost500005000055000
      Depreciation400004000040000
      EBIT300002000025000
      Taxes1020068008500
      Net Income198001320016500
      + Deprec400004000040000
      TOTAL CF598005320056500
      NPV$ 15566$ (8226)$ 3670
      Change in NPV-1528-764
      Change in Variable-83100
      SENSITIVITY RATIO1834-764
      DIRECTINVERSE
      Sensitivity Ratio = ( Change in NPV) Change in Variable
      Positive = Direct relationship
      Negative = Inverse relationship
      $ (200000)$ (200000)$ (200000)
      598005320056500
      598005320056500
      598005320056500
      598005320056500
      598005320056500
      PV$ 215566$ 191774$ 203670
      NPV$ 15566$ (8226)$ 3670
      Scenario Analysis
      BaseLowerUpper
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 5800$ 6200
      Fixed costyear$ 50000$ 45000$ 55000
      BASEBESTWORST
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Project Life5years
      Tax rate34
      Required return12
      BASEWORSTBEST
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 6200$ 5800
      Fixed Cost$ 50000$ 55000$ 45000
      Sales$ 480000$ 412500$ 552500
      Variable Cost360000341000377000
      Fixed Cost500005500045000
      Depreciation400004000040000
      EBIT30000(23500)90500
      Taxes10200(7990)30770
      Net Income19800(15510)59730
      + Deprec400004000040000
      TOTAL CF598002449099730
      NPV15566(111719)159504
      IRR151-144409
      NOTENote in WORST CASE tax credit for negative earnings
      $ (200000)$ (200000)$ (200000)
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      PV$215566$88281$359504
      NPV15566(111719)159504
      Majestic Mulch and Compost Company (MMCC)
      YEAR012345678
      Background Data
      Unit Sales Estimates30005000600065006000500040003000
      Variable Cost unit$ 6000
      Fixed Costs per year$ 2500000
      Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
      Tax Rate340
      Required Return on Project150
      Yr 0 NWC$ 2000000
      NWC of sales15
      Equipment cost - installed$ 800000
      Salvage Value in year 820of equipment cost
      Depreciation Calculations
      Equipment Depreciable Base800000
      MACRS (Eqpt-7 yr)1429244917491249893893893445
      Recovery Allowance1143201959201399209992071440714407144035600
      Book Value685680489760349840249920178480107040356000
      After-Tax Salvage Value
      Salvage Value20160000
      Book Value (Year 8)0
      Capital GainLoss160000
      Taxes54400
      Net SV (SV-Taxes)105600
      Required Net Working Capital Investment
      20000540009000010800010725099000825006600049500
      YEAR012345678
      Initial Investment
      Equipment Cost(800000)
      Sales360000600000720000715000660000550000440000330000
      Variable Costs180000300000360000390000360000300000240000180000
      Fixed Costs2500025000250002500025000250002500025000
      Depreciation (Eqpt))1143201959201399209992071440714407144035600
      EBT406807908019508020008020356015356010356089400
      Taxes1383126887663276802769210522103521030396
      Net Operating Income26849521931287531320531343501013506835059004
      Add back Depreciation1143201959201399209992071440714407144035600
      CASH FLOW from Operations14116924811326867323197320579017279013979094604
      NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
      Salvage Value105600
      TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
      Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
      NPV$ 65488
      IRR1724
      Depreciation5-year Asset
      YearBeg BVDeprDeprecEnd BV
      1$ 12000002000$ 240000$ 960000
      2$ 9600003200$ 384000$ 576000
      3$ 5760001920$ 230400$ 345600
      4$ 3456001152$ 138240$ 207360
      5$ 2073601152$ 138240$ 69120
      6$ 69120576$ 69120$ - 0
      10000$ 1200000
      EOY 5$3000$221501$78499
      EOY 2$4000$459840($59840)
      Pro Forma Income Statement
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC-2000020000
      Net Capital Spending-90000
      Cash Flow From Assets-110000517805178071780
      Net Present Value$1064769
      IRR2576
      Pro Forma Income Statements
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC(20000)20000
      Net Capital Spending(90000)
      Cash Flow From Assets(110000)517805178071780
      Net Present Value$1064769
      IRR2576
      Sensitivity Analysis
      BaseUnitsFixed Cost
      Units600055006000
      Priceunit$ 808080
      Variable costunit$ 606060
      Fixed costyear$ 500005000055000
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Tax rate34
      Required Return12
      BASEUNITSFC
      Units600055006000
      Priceunit$ 80$ 80$ 80
      Variable costunit$ 60$ 60$ 60
      Fixed cost$ 50000$ 50000$ 55000
      Sales$ 480000$ 440000$ 480000
      Variable Cost360000330000360000
      Fixed Cost500005000055000
      Depreciation400004000040000
      EBIT300002000025000
      Taxes1020068008500
      Net Income198001320016500
      + Deprec400004000040000
      TOTAL CF598005320056500
      NPV$ 15566$ (8226)$ 3670
      Change in NPV-1528-764
      Change in Variable-83100
      SENSITIVITY RATIO1834-764
      DIRECTINVERSE
      Sensitivity Ratio = ( Change in NPV) Change in Variable
      Positive = Direct relationship
      Negative = Inverse relationship
      $ (200000)$ (200000)$ (200000)
      598005320056500
      598005320056500
      598005320056500
      598005320056500
      598005320056500
      PV$ 215566$ 191774$ 203670
      NPV$ 15566$ (8226)$ 3670
      Scenario Analysis
      BaseLowerUpper
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 5800$ 6200
      Fixed costyear$ 50000$ 45000$ 55000
      BASEBESTWORST
      Initial investment$ 200000
      Depreciated to salvage value of 0 over 5 years
      Deprecyr$ 40000
      Project Life5years
      Tax rate34
      Required return12
      BASEWORSTBEST
      Units600055006500
      Priceunit$ 8000$ 7500$ 8500
      Variable costunit$ 6000$ 6200$ 5800
      Fixed Cost$ 50000$ 55000$ 45000
      Sales$ 480000$ 412500$ 552500
      Variable Cost360000341000377000
      Fixed Cost500005500045000
      Depreciation400004000040000
      EBIT30000(23500)90500
      Taxes10200(7990)30770
      Net Income19800(15510)59730
      + Deprec400004000040000
      TOTAL CF598002449099730
      NPV15566(111719)159504
      IRR151-144409
      NOTENote in WORST CASE tax credit for negative earnings
      $ (200000)$ (200000)$ (200000)
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      598002449099730
      PV$215566$88281$359504
      NPV15566(111719)159504
      Majestic Mulch and Compost Company (MMCC)
      YEAR012345678
      Background Data
      Unit Sales Estimates30005000600065006000500040003000
      Variable Cost unit$ 6000
      Fixed Costs per year$ 2500000
      Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
      Tax Rate340
      Required Return on Project150
      Yr 0 NWC$ 2000000
      NWC of sales15
      Equipment cost - installed$ 800000
      Salvage Value in year 820of equipment cost
      Depreciation Calculations
      Equipment Depreciable Base800000
      MACRS (Eqpt-7 yr)1429244917491249893893893445
      Recovery Allowance1143201959201399209992071440714407144035600
      Book Value685680489760349840249920178480107040356000
      After-Tax Salvage Value
      Salvage Value20160000
      Book Value (Year 8)0
      Capital GainLoss160000
      Taxes54400
      Net SV (SV-Taxes)105600
      Required Net Working Capital Investment
      20000540009000010800010725099000825006600049500
      YEAR012345678
      Initial Investment
      Equipment Cost(800000)
      Sales360000600000720000715000660000550000440000330000
      Variable Costs180000300000360000390000360000300000240000180000
      Fixed Costs2500025000250002500025000250002500025000
      Depreciation (Eqpt))1143201959201399209992071440714407144035600
      EBT406807908019508020008020356015356010356089400
      Taxes1383126887663276802769210522103521030396
      Net Operating Income26849521931287531320531343501013506835059004
      Add back Depreciation1143201959201399209992071440714407144035600
      CASH FLOW from Operations14116924811326867323197320579017279013979094604
      NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
      Salvage Value105600
      TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
      Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
      NPV$ 65488
      IRR1724
      Depreciation5-year Asset
      YearBeg BVDeprDeprecEnd BV
      1$ 12000002000$ 240000$ 960000
      2$ 9600003200$ 384000$ 576000
      3$ 5760001920$ 230400$ 345600
      4$ 3456001152$ 138240$ 207360
      5$ 2073601152$ 138240$ 69120
      6$ 69120576$ 69120$ - 0
      10000$ 1200000
      EOY 5$3000$221501$78499
      EOY 2$4000$459840($59840)
      Pro Forma Income Statement
      Year0123
      Sales200000200000200000
      Variable Costs125000125000125000
      Gross Profit750007500075000
      Fixed Costs120001200012000
      Depreciation300003000030000
      EBIT330003300033000
      Taxes112201122011220
      Net Income217802178021780
      Cash Flows
      Operating Cash Flow517805178051780
      Changes in NWC-2000020000
      Net Capital Spending-90000
      Cash Flow From Assets-110000517805178071780
      Net Present Value$1064769
      IRR2576
      Depreciation5-year Asset
      YearBeg BVDeprDeprecEnd BV
      1$ 12000002000$ 240000$ 960000
      2$ 9600003200$ 384000$ 576000
      3$ 5760001920$ 230400$ 345600
      4$ 3456001152$ 138240$ 207360
      5$ 2073601152$ 138240$ 69120
      6$ 69120576$ 69120$ - 0
      10000$ 1200000
      Depreciation5-year Asset
      YearBeg BVDeprDeprecEnd BV
      1$ 12000002000$ 240000$ 960000
      2$ 9600003200$ 384000$ 576000
      3$ 5760001920$ 230400$ 345600
      4$ 3456001152$ 138240$ 207360
      5$ 2073601152$ 138240$ 69120
      6$ 69120576$ 69120$ - 0
      10000$ 1200000

      Making Capital Investment Decisions (Ch 9)

      Investment Criteria (Ch 8)

      FV and PV ndash Multiple Cash Flows (Ch 5)

      FV and PV ndash Single Lump Sum (Ch 4)

      Analyzing Financial Statements (Ch 3)

      Financial Statements and Cash Flow (Ch 2)

      Goal of Financial Management (Ch 1)

      9-3

      Blue Hen Brewery has developed a new style of beer that they think will be a big seller in the marketplace Higher alcohol content 16 ounce cans vs 12 ounce bottles

      We need to determine whether or not this investment will increase shareholder value

      9-4

      Cash flow estimates are the starting point in analyzing an investment The cash flows were simply given to us in Chapter 8

      We now need to understand where these cash flows come from And determine which cash flows should be considered in

      the investment decision

      9-5

      Understand how to determine the relevant cash flows for a proposed investment

      Understand how to analyze a projectrsquos projected cash flows

      Learn how to evaluate an estimated NPV Scenario analysis Sensitivity analysis

      9-6

      Relevant Cash Flows

      9-7

      Once a company decides to take on a new investment project their cash flows are going to be different If the Blue Hen Brewery takes on this new product

      line their cash flows will be altered

      The challenge for the Finance manager is to determine if the change in cash flows that result from the investment will increase the shareholder value

      9-8

      9-9

      Incremental Cash Flows for a Project

      Relevant Cash Flows

      Include only cash flows that will only occur if the project is accepted Incremental cash flows

      The stand-alone principle allows us to analyze each project in isolation from the firm simply by focusing on incremental cash flows

      In general it is easy to determine cash flows that are directly linked to the investment project under consideration Incremental revenue from the new product (eg

      sales of the new beer) Incremental costs from the new product (eg

      brewing ingredients packaging marketing)

      There are however some situations where it can be difficult to determine if cash flows are or are not relevant

      9-10

      Relevant

      bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter tax salvage value

      Not Relevant

      bull ldquoSunkrdquo costsbullFinancing costs

      9-11

      The most valuable alternative that is given up if a particular investment is undertaken

      If the project being considered is using an asset that has alternative uses and value then it is a relevant cash flow

      9-12

      Opportunity Cost

      For the new Blue Hen Brewery beer being considered the plan is to use an older brewery building that was purchased years ago for $100000 and after depreciation is currently on their books for $40000

      Should this be considered in the cash flow analysis for evaluating the new higher-alcohol product for Blue Hen Brewery If so what is the relevant cash flow amount

      9-13

      Which of the following is correct with respect to how to treat the old building that will be used for the new Blue Hen Brewery productA Since it is currently not being used it should be viewed as

      ldquofreerdquo and have no impact on the cash flow for analyzing the new investment opportunity (ie this is a sunk cost)

      B The cash flow impact to the project should be $100000 since this is what the building cost years ago

      C The cash flow impact to the project should be $40000 since this is what the book value of the building currently is

      D None of the above

      9-14

      The opportunity cost is what the building and land could be sold for (ie the current market value of the building) This is the most valuable alternative that is given up if a

      particular investment is undertaken So if the building could be sold for say $75000 then it

      is this amount of $75000 that is a relevant cash flow in the investment decision

      9-15

      9-16

      When a company launches a new product there could be ldquospilloverrdquo impacts on the sales of existing products Known as ldquoside effectsrdquo Can be positive ndash the new product increases the

      sales of existing products Can be negative ndash the new product decreases

      the sales of existing products (called ldquoerosionrdquo)

      The cash flow of a new project that comes at the expense of a firmrsquos existing projects

      Also known as ldquoproduct cannibalizationrdquo

      9-17

      Erosion

      There are many very loyal customers of Blue Hen Brewery that drink only Blue Hen beer products

      Some of these customers will buy the new higher-alcohol products instead of buying existing Blue Hen Brewery products This new product will ldquoeroderdquo or ldquocannibalizerdquo existing

      product lines

      This is a relevant cash flow impact that should be considered in the investment analysis for the new product

      9-18

      Thrill Rides is considering adding a new roller coaster to its amusement park The addition is expected to increase its overall ticket sales In particular the company expects to sell more tickets for its current roller coaster and experience extremely high demand for its new coaster Sales for its boat ride are expected to decline but food and beverage sales are expected to increase significantly All of the following are side effects associated with the new roller coaster with the exception of the

      A Increased food sales

      B Additional sales for the existing coaster

      C Increased food costs from the higher food sales

      D Reduced sales for the boat ride

      E Ticket sales for the new coaster

      9-19

      9-20

      Net working capital is Current Assets minus Current Liabilities

      Current Assets Current Liabilitiesbull Cashbull Accounts Receivablebull Inventory

      bull Accounts Payable

      Most investment projects will impact a firmrsquos working capital Accounts receivable and inventory would increase to

      support higher sales levels Accounts payable would likely increase as inventory

      increases

      These cash flows donrsquot appear on the income statement due to the GAAP matching principle Sales recorded when made not when cash is received Cost of goods sold recorded when sales are made

      whether suppliers paid yet or not

      9-21

      In general most projects will require an investment in working capital at the beginning of the project This would need to be captured in the cash flow analysis

      (as a cash outflow) at the time of launch or in the first year

      At the end of the project the increase in working capital would no longer be needed as inventories are sold receivables collected etc This would need to be captured in the last year of the

      project as a cash inflow from the release of working capital

      9-22

      We need to consider the tax impacts of all cash flows

      Incremental cash flows are meant to be after-taxincremental cash flows

      Which tax rate is most relevant for after-tax cash flowsA Marginal tax rateB Average tax rate

      9-23

      Many projects will require an investment in long-term assets at the beginning of the project This would need to be captured in the cash flow

      analysis (as a cash outflow) at the time of launch

      At the end of the project if there is value in this fixed asset the after-tax salvage value needs to be determined

      9-24

      If the salvage value is different from the book value of the asset then there is a tax effect which impacts cash flows

      9-25

      After-Tax Salvage

      Salvage Amount= Tax rate [Salvage

      Amount ndash Book Value]-

      Book Value Initial Cost= - Accumulated

      Depreciation

      Straight-line depreciationD = (Initial cost ndash salvage) number of yearsStraight Line rarr Salvage Value

      MACRS (Accelerated Depreciation)Depreciate rarr 0Recovery Period = Class Life12 Year ConventionMultiply percentage in table by the initial cost

      9-26Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

      You purchase a new piece of equipment for $100000 to be used in a project that will last 4 years If it is depreciated on a straight-line basis over 5 years what is the book value after 4 years

      A $80000B $75000C $25000D $20000E $0

      9-27

      If you then sell this fixed asset at the end of the project (after 4 years) for $20000 what is your after-tax salvage value (Assume a 30 tax rate)

      A $26000B $20000C $14000D $80000E $0

      9-28

      If you then sell this fixed asset at the end of the project (after 4 years) for $30000 what is your after-tax salvage value (Assume a 30 tax rate)

      A $39000B $30000C $27000D $21000E $0

      9-29

      Net Salvage Cash Flow = SP - (SP-BV)(T)

      WhereSP = Selling PriceBV = Book ValueT = Corporate tax rate

      Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-30

      This represents the tax paid on the gain or the tax benefit of the loss

      Depreciation and After-Tax Salvage Car purchased for $12000 5-year property Marginal tax rate = 34

      9-31

      Depreciation 5-year Asset

      Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

      10000 1200000$

      Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

      Sheet1

      Sheet2

      Sheet3

      Depreciation 5-year Asset

      Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

      10000 1200000$

      Net Salvage Cash Flow = SP - (SP-BV)(T)If sold at EOY 5 for $3000

      NSCF = 3000 - (3000 - 69120)(34) = $221501= $3000 ndash 78499 = $221501

      If sold at EOY 2 for $4000NSCF = 4000 - (4000 - 5760)(34) = $459840

      = $4000 ndash (-59840) = $459840

      Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-32

      What is the after-tax net salvage cash flow at end of year 5 and 2

      Sheet1

      Sheet2

      Sheet3

      A cost that has already been incurred and cannot be recouped

      Therefore it should not be considered in an investment decision

      9-33

      Sunk Cost

      The Blue Hen Brewery spent $100000 on market research and consulting fees to analyze their higher-alcohol beer product

      Is this a sunk costA YesB NoC More information is needed

      9-34

      In Chapter 2 we learned that financing costs (eg interest expense) is a cash flow to creditors Interest expense is not an operating expense

      We care only about cash flow from assets when we make investment decisions

      Financing decisions are important but this is a separate question from deciding if an investment increases shareholder value or not Thus Financing costs are not a relevant cash flow in

      analyzing an investment project

      9-35

      Relevant

      bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter-tax salvage value

      Not Relevant

      bull ldquoSunkrdquo costsbullFinancing costs

      9-36

      Which one of the following principles refers to the assumption that a project will be evaluated based on its incremental cash flows

      A Forecast assumption principleB Base assumption principleC Fallacy principleD Erosion principle E Stand-alone principle

      9-37

      A cost that should be ignored when evaluating a project because that cost has already been incurred and cannot be recouped is referred to as a(n)

      A Fixed costB Forgotten costC Variable costD Opportunity costE Sunk cost

      9-38

      Lake City Plastics currently produces plastic plates and silverware The company is considering expanding its product offerings to include plastic serving trays All of the following are relevant costs to this project with the exception of

      A The cost of additional utilities required to operate the serving tray production operation

      B Any change in the expected sales of plates and silverware gained from offering trays also

      C A percentage of the current operating overhead

      D The additional plastic raw materials that would be required

      E The cost to acquire the forms needed to mold the trays

      9-39

      Which one of the following terms is most commonly used to describe the cash flows of a new project that are simply an offset of reduced cash flows for a current project

      A Opportunity costB Sunk costC ErosionD Replicated flowsE Pirated flows

      9-40

      Pro Forma Financial

      Statements and Cash Flows

      9-41

      The process to evaluate a proposed investment is as follows

      9-42

      Pro Forma Financial

      Statements

      Projected Cash Flows

      Estimate Project Value

      bull Assumptions are gathered and these serve as the basis for the pro forma financial statements

      bull Incremental cash flows need to be determined Cash flow from

      assets

      bull Project value is determined NPV IRR PI Payback

      Financial statements projecting future yearsrsquo operations Pro forma income

      statement Pro forma balance sheet

      Summarizes all relevant information for a project

      9-43

      Pro Forma Financial

      Statements

      Underwater Adventures Inc specializes in selling unique underwater experiences for scuba divers and snorkelers They have developed a ldquoshark attractantrdquo product to meet

      this demand of customers who want to get close to sharks for better photos to post on social media

      We have been asked to evaluate whether launching this product is a good idea

      9-44

      Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

      100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

      Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-45

      9-46Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

      Sales (50000 units at $400unit) $200000Variable Costs ($250unit) ($125000)Gross Profit $75000Fixed Costs ($12000)Depreciation ($90000 3) ($30000)EBIT $33000Taxes (34) ($11200)

      Net Income $21780

      The pro forma income statement currently does not have any interest expense

      Should interest expense be includedA YesB No

      9-47

      No interest expense is a financing expense and not a component of operating cash flow

      We need to understand the cash flow impacts that result from changes in the balance sheet Investments in working capital (eg higher

      inventory and accounts receivable) Investments in fixed assets (ie capital

      requirements of the project) We donrsquot care about the financing aspects

      of the balance sheet For the same reason we didnrsquot consider interest

      expense in the pro forma income statement9-48

      Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

      100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

      Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-49

      9-50Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

      Year0 1 2 3

      Net Working Capital

      $20000 $20000 $20000 $20000

      Net Fixed Assets

      90000 60000 30000 0

      Total Investment

      $110000 $80000 $50000 $20000

      Net Fixed Assets declines by the amount of depreciation each year

      The process to evaluate a proposed investment is as follows

      9-51

      Pro Forma Financial

      Statements

      Projected Cash Flows

      Estimate Project Value

      9-52

      Net Income Depreciation= +

      Earnings Before Interest amp Taxes Depreciation Taxes= + -

      Operating Cash Flow

      Operating Cash Flow= minus

      Net Capital

      Spending

      Changes in Net

      Working Capital

      Cash Flow from

      Assetsminus

      + Interest

      Will be 0 since interest is not a

      relevant cash flow

      9-53

      Sales (50000 units at $400unit)

      $200000

      Variable Costs ($250unit) (125000)

      Gross profit $ 75000

      Fixed costs (12000)

      Depreciation ($90000 3) (30000)

      EBIT $ 33000

      Taxes (34) (11220)

      Net Income $ 21780=======

      What is the operating cash flow

      A $21750B $33000C $63000D $51780E $63780

      9-54

      Net Income Depreciation= + If no interest expense

      Earnings Before Interest amp Taxes Depreciation Taxes= + -

      Operating Cash Flow

      $21780 $30000= +If no interest

      expense

      $33000 $30000 $11220= + -Operating Cash Flow

      = $51780

      9-55

      Year

      0 1 2 3

      OCF $51780 $51780 $51780

      NWC -$20000 20000

      Capital Spending

      -$90000

      CFFA -$110000 $51780 $51780 $71780

      Note Investment in NWC is recovered in final yearEquipment cost is a cash outflow in year 0

      Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

      9-56Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

      Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

      Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

      Pro Forma Income Statement

      Cash Flows

      The process to evaluate a proposed investment is as follows

      9-57

      Pro Forma Financial

      Statements

      Projected Cash Flows

      Estimate Project Value

      9-58

      Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

      Net Present Value $1064769IRR 2576

      Cash Flows

      We can estimate the project value by calculation the NPV and IRR

      SHARK

      DEPRC

      MMCC

      Scenario

      Sensitivity

      Pro Forma

      9-59

      Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

      Net Present Value $1064769IRR 2576

      Cash Flows

      Should we accept or reject the project

      Acceptbull The NPV is gt 0bull The IRR is greater than the

      required rate of return of 20

      SHARK

      DEPRC

      MMCC

      Scenario

      Sensitivity

      Pro Forma

      9-60

      Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

      Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

      Net Present Value $1064769IRR 2576

      Pro Forma Income Statement

      Cash Flows

      OCF = EBIT + Depreciation ndash TaxesOCF = Net Income + Depreciation (if no interest)

      Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

      SHARK

      DEPRC

      MMCC

      Scenario

      Sensitivity

      Pro Forma

      A new project is expected to generate an operating cash flow of $38728 and will initially free up $11610 in net working capital Purchases of fixed assets costing $52800 will be required to start up the project What is the total cash flow for this project at time zero

      A -$64410

      B -$41190

      C -$52800

      D $25682

      E $50338

      9-61

      The pro forma income statement for a proposed investment should include all of the following except

      A Fixed costsB Forecasted salesC Depreciation expenseD TaxesE Changes in net working capital

      9-62

      9-63

      Sales (50000 units at $400unit)

      $200000

      Variable Costs ($250unit) (125000)

      Gross profit $ 75000

      Fixed costs (12000)

      Depreciation ($90000 3) (30000)

      EBIT $ 33000

      Taxes (34) (11220)

      Net Income $ 21780=======

      What is the operating cash flow (using the approaches already learned)

      A $21750B $33000C $63000D $51780E $63780

      9-64

      Net Income Depreciation= + If no interest expense

      Earnings Before Interest amp Taxes Depreciation Taxes= + -

      Operating Cash Flow

      $21780 $30000= +If no interest

      expense

      $33000 $30000 $11220= + -Operating Cash Flow

      = $51780

      Option 1

      Option 2

      The tax savings that results from the depreciation deduction

      Calculated as depreciation multiplied by the corporate tax rate

      9-65

      Depreciation Tax Shield

      9-66

      (Sales ndash Costs) (1 ndash Tax Rate) = +Operating

      Cash FlowDepreciation Tax Rate

      Option 3

      9-67

      Sales (50000 units at $400unit)

      $200000

      Variable Costs ($250unit) (125000)

      Gross profit $ 75000

      Fixed costs (12000)

      Depreciation ($90000 3) (30000)

      EBIT $ 33000

      Taxes (34) (11220)

      Net Income $ 21780=======

      What is the operating cash flow using the tax shield approach

      9-68

      ($200000 -$137000) 66

      + $30000 34

      = $51780

      =

      (Sales ndash Costs) (1 ndash Tax Rate) = +Operating

      Cash FlowDepreciation Tax Rate

      Which one of the following is the formula for computing operating cash flow

      A Net Income + Depreciation + InterestB Net Income + Depreciation - InterestC EBIT + Depreciation - TaxesD (Sales ndash Costs) (1-Tax Rate) + (Depreciation Tax Rate)E A C and D

      9-69

      Evaluating NPV

      Estimates

      9-70

      Calculating NPV is just an estimate based on the best information available The calculations could be wrong The confidence level in the analysis is a

      judgment call A positive NPV suggests the project may be

      worth doing But more analysis normally would be required

      It is important to understand what the NPV looks like when things donrsquot go as planned

      9-71

      9-72

      If NPV gt 0 Accept the project

      Maybe accept the

      project

      Why maybe

      9-73

      What drives the NPV result

      Projected future cash

      flow

      How do you know your projected estimates are

      accurate

      9-74

      Forecasting Risk

      We need to develop some tools to understand where potential estimate errors may exist

      The possibility that errors (or poor estimates) in projected cash flows will lead to incorrect decisions

      Also called ldquoestimation riskrdquo

      The following tools will help assess the reasonableness of the NPV analysis

      9-75

      What-If Analysis

      Scenario analysis Sensitivity analysis

      Understand sources of value

      Articulate what drives the investment to deliver a positive NPV

      A positive NPV is creating value for the shareholders

      We should understand what is the source of this value

      9-76

      Project Idea Potential Questions to Answer

      New Product bull Is this new product better than the competitionbull Does this new product meet an unmet consumer need

      Marketing Campaign

      bull Is it reasonable that this marketing effort can increase sales as estimated

      CompanyAcquisition

      bull Are there sufficient synergies that can be realized to justify the purchase price

      Cost Improvements

      bull How realistic is it that the expected cost savings will truly materialize in the time frame noted (without unexpected negative impacts)

      9-77

      Scenario Analysis

      The determination of what happens to NPV estimates when we ask what-if questions

      Sensitivity Analysis

      Investigation of what happens to NPV estimates when only one variable is changed

      Scenario and Sensitivity Analysis

      9-78

      Examines several possible situations Worst case Base case or most likely case Best case

      Provides a range of possible outcomes

      Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-79

      Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

      Base Lower UpperUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 5800$ 6200$ Fixed costyear 50000$ 45000$ 55000$

      BASE BEST WORST

      Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

      Project Life 5 yearsTax rate 34Required return 12

      Note ldquoLowerrdquo ne WorstldquoUpperrdquo ne Best

      9-80

      SHARK

      DEPRC

      MMCC

      Scenario

      Sensitivity

      Pro Forma

      Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

      BASE WORST BESTUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 6200$ 5800$ Fixed Cost 50000$ 55000$ 45000$

      Sales 480000$ 412500$ 552500$ Variable Cost 360000 341000 377000Fixed Cost 50000 55000 45000Depreciation 40000 40000 40000EBIT 30000 (23500) 90500Taxes 10200 (7990) 30770Net Income 19800 (15510) 59730 + Deprec 40000 40000 40000

      TOTAL CF 59800 24490 99730

      NPV 15566 (111719) 159504

      IRR 151 -144 409

      9-81

      SHARK

      DEPRC

      MMCC

      Scenario

      Sensitivity

      Pro Forma

      Considers only a few possible outcomes

      Assumes perfectly correlated inputs All ldquobadrdquo values occur together and

      all ldquogoodrdquo values occur together More likely to have some ldquobadrdquo values

      and some ldquogoodrdquo values

      9-82

      Shows how changes in an input variable affect NPV or IRR

      Each variable is fixed except one Change one variable to see the effect

      on NPV or IRR Answers ldquowhat ifrdquo questions

      Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-83

      Unit Sales Sensitivity

      $(8226)

      $15566

      $39357

      -2000000

      -1000000

      000

      1000000

      2000000

      3000000

      4000000

      5000000

      5500 6000 6500

      Unit Sales

      NPV

      Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-84

      SHARK

      DEPRC

      MMCC

      Scenario

      Sensitivity

      Sensitivity (2)

      GRAPH

      GRAPH

      UNITS
      FC
      UNITS
      Fixed Cost
      Change in NPV
      NPV
      Sensitivity Analysis

      Pro Forma

      Chart3

      Y
      Unit Sales
      NPV
      Unit Sales Sensitivity
      -82259060352458
      155656169002312
      393571398357083

      SHARK

      DEPRC

      MMCC

      Scenario

      Sensitivity

      Sensitivity

      Y
      Unit Sales
      NPV
      Unit Sales Sensitivity

      Sensitivity (2)

      GRAPH

      GRAPH

      UNITS
      FC
      UNITS
      Fixed Cost
      Change in NPV
      NPV
      Sensitivity Analysis

      Pro Forma

      Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

      Base Fixed Cost Fixed CostUnits 6000 6000 6000 Priceunit 80$ 80 80Variable costunit 60$ 60 60Fixed costyear 50000$ 55000 45000

      Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

      Tax rate 34Required Return 12

      BASE FC FCUnits 6000 6000 6000 Priceunit 80$ 80$ 80$ Variable costunit 60$ 60$ 60$ Fixed cost 50000$ 55000$ 45000$

      Sales 480000$ 480000$ 480000$ Variable Cost 360000 360000 360000 Fixed Cost 50000 55000 45000 Depreciation 40000 40000 40000 EBIT 30000 25000 35000 Taxes 10200 8500 11900 Net Income 19800 16500 23100 + Deprec 40000 40000 40000

      TOTAL CF 59800 56500 63100

      NPV 15566$ 3670$ 27461$

      Fixed Cost Sensitivity

      $27461

      $15566

      $3670

      000

      500000

      1000000

      1500000

      2000000

      2500000

      3000000

      $45000 $50000 $55000Fixed Cost

      NPV

      9-85

      SHARK

      DEPRC

      MMCC

      Scenario

      Sensitivity_A

      Sensitivity_A

      Y
      Unit Sales
      NPV
      Unit Sales Sensitivity

      Sensitivity (2)

      Y
      Fixed Cost
      NPV
      Fixed Cost Sensitivity

      GRAPH

      Pro Forma

      Pro Forma

      UNITS
      FC
      UNITS
      Fixed Cost
      Change in NPV
      NPV
      Sensitivity Analysis

      Chart4

      Y
      Fixed Cost
      NPV
      Fixed Cost Sensitivity
      274613783679698
      155656169002312
      36698554324927

      SHARK

      DEPRC

      MMCC

      Scenario

      Sensitivity

      Sensitivity

      Y
      Unit Sales
      NPV
      Unit Sales Sensitivity

      Sensitivity (2)

      Y
      Fixed Cost
      NPV
      Fixed Cost Sensitivity

      GRAPH

      Pro Forma

      Pro Forma

      UNITS
      FC
      UNITS
      Fixed Cost
      Change in NPV
      NPV
      Sensitivity Analysis

      Strengths Identifies dangerous variables Gives some breakeven information

      Weaknesses Says nothing about the likelihood of

      change in a variable Ignores relationships among

      variables

      9-86

      Neither provides a decision rule No indication whether a projectrsquos

      expected return is sufficient to compensate for its risk

      Ignores diversification Measures only stand-alone risk which

      may not be the most relevant risk in capital budgeting

      Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-87

      Scenario analysis is best described as the determination of the

      A Most likely outcome for a projectB Reasonable range of project outcomesC Variable that has the greatest effect on a projectrsquos

      outcomeD Effect that a projectrsquos initial cost has on the projectrsquos net

      present valueE Change in a projectrsquos net present value given a stated

      change in projected sales

      9-88

      • FINC311 Principles of Finance
      • Corporate Finance Overview
      • Building Blocks for Decisions
      • Introduction Example
      • Introduction
      • Chapter Objectives
      • Slide Number 7
      • Cash Flow Introduction
      • Relevant Cash Flows
      • Relevant Cash Flows
      • Relevant Cash Flows - Watchouts
      • Opportunity Cost
      • Opportunity Cost Example
      • Opportunity Cost Example
      • Opportunity Cost Example
      • Side Effects
      • Side Effects Erosion
      • Erosion Example
      • Question ndash Side Effects
      • Net Working Capital
      • Changes in Net Working Capital
      • Changes in Net Working Capital
      • Tax Effects
      • After-Tax Salvage Value
      • After-Tax Salvage
      • Computing Depreciation
      • Question
      • Question
      • Question
      • Tax Effect on Salvage
      • Example
      • Salvage Value amp Tax Effects
      • Sunk Cost
      • Sunk Cost Example
      • Financing Costs
      • Relevant Cash Flows - Watchouts
      • Question
      • Question
      • Question
      • Question
      • Slide Number 41
      • Evaluating a Proposed Investment
      • Pro Forma Financial Statements
      • Shark Attractant Project
      • Shark Attractant Project- Assumptions
      • Pro Forma Income Statement
      • Where is the Interest Expense
      • Pro Forma Balance Sheet
      • Shark Attractant Project- Assumptions
      • Projected Capital Requirements
      • Evaluating a Proposed Investment
      • Cash Flow - Definitions
      • Pro Forma Income Statement
      • Operating Cash Flow
      • Projected Total Cash Flows
      • Shark Attractant Project ndash Cash Flows
      • Evaluating a Proposed Investment
      • Estimate Project Value
      • Making the Decision
      • Shark Attractant Project
      • Question
      • Question
      • Pro Forma Income Statement
      • Operating Cash Flow
      • Depreciation Tax Shield
      • The Tax Shield Approach to OCF
      • Pro Forma Income Statement
      • The Tax Shield Approach to OCF
      • Question
      • Slide Number 70
      • Intro to Evaluating NPV
      • NPV Decision Rule
      • Risk with NPV Analysis
      • NPV ndash Forecasting Risk
      • Tools to Evaluate NPV Analysis
      • Understanding Sources of Value
      • Scenario and Sensitivity Analysis
      • Slide Number 78
      • Scenario Analysis
      • Scenario Analysis Example
      • Scenario Analysis Example
      • Problems with Scenario Analysis
      • Sensitivity Analysis
      • Sensitivity Analysis Unit Sales
      • Sensitivity Analysis Fixed Costs
      • Sensitivity Analysis
      • Disadvantages of Sensitivity and Scenario Analysis
      • Question
        Pro Forma Income Statements
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC(20000)20000
        Net Capital Spending(90000)
        Cash Flow From Assets(110000)517805178071780
        Net Present Value$1064769
        IRR2576
        -30-20-100102030
        UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
        FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
        Sensitivity Analysis
        -30-20-100102030-30-20-100102030
        BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
        Units60004200480054006000660072007800Units60006000600060006000600060006000
        Priceunit$ 8080808080808080Priceunit$ 8080808080808080
        Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
        Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
        Initial investment$ 200000Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000Deprecyr$ 40000
        Tax rate34Tax rate34
        Required Return12Required Return12
        BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
        Units60004200480054006000660072007800Units60006000600060006000600060006000
        Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
        Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
        Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
        Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
        Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
        Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
        Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
        EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
        Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
        Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
        + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
        TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
        NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
        Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
        Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
        SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
        INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
        Sensitivity Ratio = ( Change in NPV) Change in Variable
        Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
        Negative = Inverse relationshipPositive = Direct relationship
        Negative = Inverse relationship
        $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
        5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        5980069700664006310059800565005320049900
        PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
        NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
        NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
        Sensitivity Analysis
        BaseUnitsUnitsFixed CostFixed Cost
        Units60005500650060006000
        Priceunit$ 8080808080
        Variable costunit$ 6060606060UNITS
        Fixed costyear$ 5000050000500005500045000X550060006500
        Y$ (8226)$ 15566$ 39357
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Tax rate34
        Required Return12
        BASEUNITSUNITSFCFC
        Units60005500650060006000
        Priceunit$ 80$ 80$ 80$ 80$ 80
        Variable costunit$ 60$ 60$ 60$ 60$ 60
        Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
        Sales$ 480000$ 440000$ 520000$ 480000$ 480000
        Variable Cost360000330000390000360000360000
        Fixed Cost5000050000500005500045000
        Depreciation4000040000400004000040000
        EBIT3000020000400002500035000
        Taxes10200680013600850011900
        Net Income1980013200264001650023100
        + Deprec4000040000400004000040000
        TOTAL CF5980053200664005650063100
        NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
        FC
        $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)X$ 45000$ 50000$ 55000
        5980053200664005650063100Y$ 27461$ 15566$ 3670
        5980053200664005650063100
        5980053200664005650063100
        5980053200664005650063100
        5980053200664005650063100
        PV$ 215566$ 191774$ 239357$ 203670$ 227461
        NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
        Scenario Analysis
        BaseLowerUpper
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 5800$ 6200
        Fixed costyear$ 50000$ 45000$ 55000
        BASEBESTWORST
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Project Life5years
        Tax rate34
        Required return12
        BASEWORSTBEST
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 6200$ 5800
        Fixed Cost$ 50000$ 55000$ 45000
        Sales$ 480000$ 412500$ 552500
        Variable Cost360000341000377000
        Fixed Cost500005500045000
        Depreciation400004000040000
        EBIT30000(23500)90500
        Taxes10200(7990)30770
        Net Income19800(15510)59730
        + Deprec400004000040000
        TOTAL CF598002449099730
        NPV15566(111719)159504
        IRR151-144409
        NOTENote in WORST CASE tax credit for negative earnings
        $ (200000)$ (200000)$ (200000)
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        PV$215566$88281$359504
        NPV15566(111719)159504
        Majestic Mulch and Compost Company (MMCC)
        YEAR012345678
        Background Data
        Unit Sales Estimates30005000600065006000500040003000
        Variable Cost unit$ 6000
        Fixed Costs per year$ 2500000
        Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
        Tax Rate340
        Required Return on Project150
        Yr 0 NWC$ 2000000
        NWC of sales15
        Equipment cost - installed$ 800000
        Salvage Value in year 820of equipment cost
        Depreciation Calculations
        Equipment Depreciable Base800000
        MACRS (Eqpt-7 yr)1429244917491249892893893446
        Recovery Allowance1143201959201399209992071360714407144035680
        Book Value685680489760349840249920178560107120356800
        After-Tax Salvage Value
        Salvage Value20160000
        Book Value (Year 8)0
        Capital GainLoss160000
        Taxes54400
        Net SV (SV-Taxes)105600
        Required Net Working Capital Investment
        20000540009000010800010725099000825006600049500
        YEAR012345678
        Initial Investment
        Equipment Cost(800000)
        Sales360000600000720000715000660000550000440000330000
        Variable Costs180000300000360000390000360000300000240000180000
        Fixed Costs2500025000250002500025000250002500025000
        Depreciation (Eqpt))1143201959201399209992071360714407144035680
        EBT406807908019508020008020364015356010356089320
        Taxes1383126887663276802769238522103521030369
        Net Operating Income26849521931287531320531344021013506835058951
        Add back Depreciation1143201959201399209992071360714407144035680
        CASH FLOW from Operations14116924811326867323197320576217279013979094631
        NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
        Salvage Value105600
        TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
        Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
        Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
        NPV$65483
        IRR1724
        Payback408
        Depreciation5-year Asset
        YearBeg BVDeprDeprecEnd BV
        1$ 12000002000$ 240000$ 960000
        2$ 9600003200$ 384000$ 576000
        3$ 5760001920$ 230400$ 345600
        4$ 3456001152$ 138240$ 207360
        5$ 2073601152$ 138240$ 69120
        6$ 69120576$ 69120$ - 0
        10000$ 1200000
        EOY 5$3000$221501$78499
        EOY 2$4000$459840($59840)
        Pro Forma Income Statement
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC-2000020000
        Net Capital Spending-90000
        Cash Flow From Assets-110000517805178071780
        Net Present Value$1064769
        IRR2576
        45000
        50000
        55000
        Pro Forma Income Statements
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC(20000)20000
        Net Capital Spending(90000)
        Cash Flow From Assets(110000)517805178071780
        Net Present Value$1064769
        IRR2576
        -30-20-100102030
        UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
        FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
        Sensitivity Analysis
        -30-20-100102030-30-20-100102030
        BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
        Units60004200480054006000660072007800Units60006000600060006000600060006000
        Priceunit$ 8080808080808080Priceunit$ 8080808080808080
        Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
        Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
        Initial investment$ 200000Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000Deprecyr$ 40000
        Tax rate34Tax rate34
        Required Return12Required Return12
        BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
        Units60004200480054006000660072007800Units60006000600060006000600060006000
        Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
        Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
        Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
        Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
        Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
        Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
        Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
        EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
        Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
        Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
        + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
        TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
        NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
        Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
        Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
        SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
        INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
        Sensitivity Ratio = ( Change in NPV) Change in Variable
        Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
        Negative = Inverse relationshipPositive = Direct relationship
        Negative = Inverse relationship
        $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
        5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        5980069700664006310059800565005320049900
        PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
        NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
        NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
        Sensitivity Analysis
        BaseUnitsUnitsFixed CostFixed Cost
        Units60005500650060006000
        Priceunit$ 8080808080
        Variable costunit$ 6060606060UNITS
        Fixed costyear$ 5000050000500005500045000X550060006500
        Y$ (8226)$ 15566$ 39357
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Tax rate34
        Required Return12
        BASEUNITSUNITSFCFC
        Units60005500650060006000
        Priceunit$ 80$ 80$ 80$ 80$ 80
        Variable costunit$ 60$ 60$ 60$ 60$ 60
        Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
        Sales$ 480000$ 440000$ 520000$ 480000$ 480000
        Variable Cost360000330000390000360000360000
        Fixed Cost5000050000500005500045000
        Depreciation4000040000400004000040000
        EBIT3000020000400002500035000
        Taxes10200680013600850011900
        Net Income1980013200264001650023100
        + Deprec4000040000400004000040000
        TOTAL CF5980053200664005650063100
        NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
        FC
        $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)X$ 45000$ 50000$ 55000
        5980053200664005650063100Y$ 27461$ 15566$ 3670
        5980053200664005650063100
        5980053200664005650063100
        5980053200664005650063100
        5980053200664005650063100
        PV$ 215566$ 191774$ 239357$ 203670$ 227461
        NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
        Scenario Analysis
        BaseLowerUpper
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 5800$ 6200
        Fixed costyear$ 50000$ 45000$ 55000
        BASEBESTWORST
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Project Life5years
        Tax rate34
        Required return12
        BASEWORSTBEST
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 6200$ 5800
        Fixed Cost$ 50000$ 55000$ 45000
        Sales$ 480000$ 412500$ 552500
        Variable Cost360000341000377000
        Fixed Cost500005500045000
        Depreciation400004000040000
        EBIT30000(23500)90500
        Taxes10200(7990)30770
        Net Income19800(15510)59730
        + Deprec400004000040000
        TOTAL CF598002449099730
        NPV15566(111719)159504
        IRR151-144409
        NOTENote in WORST CASE tax credit for negative earnings
        $ (200000)$ (200000)$ (200000)
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        PV$215566$88281$359504
        NPV15566(111719)159504
        Majestic Mulch and Compost Company (MMCC)
        YEAR012345678
        Background Data
        Unit Sales Estimates30005000600065006000500040003000
        Variable Cost unit$ 6000
        Fixed Costs per year$ 2500000
        Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
        Tax Rate340
        Required Return on Project150
        Yr 0 NWC$ 2000000
        NWC of sales15
        Equipment cost - installed$ 800000
        Salvage Value in year 820of equipment cost
        Depreciation Calculations
        Equipment Depreciable Base800000
        MACRS (Eqpt-7 yr)1429244917491249892893893446
        Recovery Allowance1143201959201399209992071360714407144035680
        Book Value685680489760349840249920178560107120356800
        After-Tax Salvage Value
        Salvage Value20160000
        Book Value (Year 8)0
        Capital GainLoss160000
        Taxes54400
        Net SV (SV-Taxes)105600
        Required Net Working Capital Investment
        20000540009000010800010725099000825006600049500
        YEAR012345678
        Initial Investment
        Equipment Cost(800000)
        Sales360000600000720000715000660000550000440000330000
        Variable Costs180000300000360000390000360000300000240000180000
        Fixed Costs2500025000250002500025000250002500025000
        Depreciation (Eqpt))1143201959201399209992071360714407144035680
        EBT406807908019508020008020364015356010356089320
        Taxes1383126887663276802769238522103521030369
        Net Operating Income26849521931287531320531344021013506835058951
        Add back Depreciation1143201959201399209992071360714407144035680
        CASH FLOW from Operations14116924811326867323197320576217279013979094631
        NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
        Salvage Value105600
        TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
        Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
        Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
        NPV$65483
        IRR1724
        Payback408
        Depreciation5-year Asset
        YearBeg BVDeprDeprecEnd BV
        1$ 12000002000$ 240000$ 960000
        2$ 9600003200$ 384000$ 576000
        3$ 5760001920$ 230400$ 345600
        4$ 3456001152$ 138240$ 207360
        5$ 2073601152$ 138240$ 69120
        6$ 69120576$ 69120$ - 0
        10000$ 1200000
        EOY 5$3000$221501$78499
        EOY 2$4000$459840($59840)
        Pro Forma Income Statement
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC-2000020000
        Net Capital Spending-90000
        Cash Flow From Assets-110000517805178071780
        Net Present Value$1064769
        IRR2576
        Pro Forma Income Statements
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC(20000)20000
        Net Capital Spending(90000)
        Cash Flow From Assets(110000)517805178071780
        Net Present Value$1064769
        IRR2576
        -30-20-100102030
        UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
        FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
        Sensitivity Analysis
        -30-20-100102030-30-20-100102030
        BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
        Units60004200480054006000660072007800Units60006000600060006000600060006000
        Priceunit$ 8080808080808080Priceunit$ 8080808080808080
        Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
        Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
        Initial investment$ 200000Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000Deprecyr$ 40000
        Tax rate34Tax rate34
        Required Return12Required Return12
        BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
        Units60004200480054006000660072007800Units60006000600060006000600060006000
        Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
        Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
        Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
        Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
        Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
        Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
        Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
        EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
        Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
        Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
        + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
        TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
        NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
        Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
        Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
        SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
        INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
        Sensitivity Ratio = ( Change in NPV) Change in Variable
        Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
        Negative = Inverse relationshipPositive = Direct relationship
        Negative = Inverse relationship
        $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
        5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        5980069700664006310059800565005320049900
        PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
        NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
        NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
        Sensitivity Analysis
        BaseUnitsUnitsFixed CostFixed Cost
        Units60005500650060006000
        Priceunit$ 8080808080
        Variable costunit$ 6060606060
        Fixed costyear$ 5000050000500005500045000X550060006500
        Y$ (8226)$ 15566$ 39357
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Tax rate34
        Required Return12
        BASEUNITSUNITSFCFC
        Units60005500650060006000
        Priceunit$ 80$ 80$ 80$ 80$ 80
        Variable costunit$ 60$ 60$ 60$ 60$ 60
        Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
        Sales$ 480000$ 440000$ 520000$ 480000$ 480000
        Variable Cost360000330000390000360000360000
        Fixed Cost5000050000500005500045000
        Depreciation4000040000400004000040000
        EBIT3000020000400002500035000
        Taxes10200680013600850011900
        Net Income1980013200264001650023100
        + Deprec4000040000400004000040000
        TOTAL CF5980053200664005650063100
        NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
        $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
        5980053200664005650063100
        5980053200664005650063100
        5980053200664005650063100
        5980053200664005650063100
        5980053200664005650063100
        PV$ 215566$ 191774$ 239357$ 203670$ 227461
        NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
        Scenario Analysis
        BaseLowerUpper
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 5800$ 6200
        Fixed costyear$ 50000$ 45000$ 55000
        BASEBESTWORST
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Project Life5years
        Tax rate34
        Required return12
        BASEWORSTBEST
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 6200$ 5800
        Fixed Cost$ 50000$ 55000$ 45000
        Sales$ 480000$ 412500$ 552500
        Variable Cost360000341000377000
        Fixed Cost500005500045000
        Depreciation400004000040000
        EBIT30000(23500)90500
        Taxes10200(7990)30770
        Net Income19800(15510)59730
        + Deprec400004000040000
        TOTAL CF598002449099730
        NPV15566(111719)159504
        IRR151-144409
        NOTENote in WORST CASE tax credit for negative earnings
        $ (200000)$ (200000)$ (200000)
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        PV$215566$88281$359504
        NPV15566(111719)159504
        Majestic Mulch and Compost Company (MMCC)
        YEAR012345678
        Background Data
        Unit Sales Estimates30005000600065006000500040003000
        Variable Cost unit$ 6000
        Fixed Costs per year$ 2500000
        Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
        Tax Rate340
        Required Return on Project150
        Yr 0 NWC$ 2000000
        NWC of sales15
        Equipment cost - installed$ 800000
        Salvage Value in year 820of equipment cost
        Depreciation Calculations
        Equipment Depreciable Base800000
        MACRS (Eqpt-7 yr)1429244917491249892893893446
        Recovery Allowance1143201959201399209992071360714407144035680
        Book Value685680489760349840249920178560107120356800
        After-Tax Salvage Value
        Salvage Value20160000
        Book Value (Year 8)0
        Capital GainLoss160000
        Taxes54400
        Net SV (SV-Taxes)105600
        Required Net Working Capital Investment
        20000540009000010800010725099000825006600049500
        YEAR012345678
        Initial Investment
        Equipment Cost(800000)
        Sales360000600000720000715000660000550000440000330000
        Variable Costs180000300000360000390000360000300000240000180000
        Fixed Costs2500025000250002500025000250002500025000
        Depreciation (Eqpt))1143201959201399209992071360714407144035680
        EBT406807908019508020008020364015356010356089320
        Taxes1383126887663276802769238522103521030369
        Net Operating Income26849521931287531320531344021013506835058951
        Add back Depreciation1143201959201399209992071360714407144035680
        CASH FLOW from Operations14116924811326867323197320576217279013979094631
        NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
        Salvage Value105600
        TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
        Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
        Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
        NPV$65483
        IRR1724
        Payback408
        Depreciation5-year Asset
        YearBeg BVDeprDeprecEnd BV
        1$ 12000002000$ 240000$ 960000
        2$ 9600003200$ 384000$ 576000
        3$ 5760001920$ 230400$ 345600
        4$ 3456001152$ 138240$ 207360
        5$ 2073601152$ 138240$ 69120
        6$ 69120576$ 69120$ - 0
        10000$ 1200000
        EOY 5$3000$221501$78499
        EOY 2$4000$459840($59840)
        Pro Forma Income Statement
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC-2000020000
        Net Capital Spending-90000
        Cash Flow From Assets-110000517805178071780
        Net Present Value$1064769
        IRR2576
        5500
        6000
        6500
        Pro Forma Income Statements
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC(20000)20000
        Net Capital Spending(90000)
        Cash Flow From Assets(110000)517805178071780
        Net Present Value$1064769
        IRR2576
        -30-20-100102030
        UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
        FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
        Sensitivity Analysis
        -30-20-100102030-30-20-100102030
        BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
        Units60004200480054006000660072007800Units60006000600060006000600060006000
        Priceunit$ 8080808080808080Priceunit$ 8080808080808080
        Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
        Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
        Initial investment$ 200000Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000Deprecyr$ 40000
        Tax rate34Tax rate34
        Required Return12Required Return12
        BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
        Units60004200480054006000660072007800Units60006000600060006000600060006000
        Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
        Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
        Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
        Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
        Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
        Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
        Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
        EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
        Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
        Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
        + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
        TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
        NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
        Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
        Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
        SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
        INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
        Sensitivity Ratio = ( Change in NPV) Change in Variable
        Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
        Negative = Inverse relationshipPositive = Direct relationship
        Negative = Inverse relationship
        $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
        5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        59800360404396051880598006772075640835605980069700664006310059800565005320049900
        5980069700664006310059800565005320049900
        PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
        NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
        NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
        Sensitivity Analysis
        BaseUnitsUnitsFixed CostFixed Cost
        Units60005500650060006000
        Priceunit$ 8080808080
        Variable costunit$ 6060606060
        Fixed costyear$ 5000050000500005500045000
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Tax rate34
        Required Return12
        BASEUNITSUNITSFCFC
        Units60005500650060006000
        Priceunit$ 80$ 80$ 80$ 80$ 80
        Variable costunit$ 60$ 60$ 60$ 60$ 60
        Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
        Sales$ 480000$ 440000$ 520000$ 480000$ 480000
        Variable Cost360000330000390000360000360000
        Fixed Cost5000050000500005500045000
        Depreciation4000040000400004000040000
        EBIT3000020000400002500035000
        Taxes10200680013600850011900
        Net Income1980013200264001650023100
        + Deprec4000040000400004000040000
        TOTAL CF5980053200664005650063100
        NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
        $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
        5980053200664005650063100
        5980053200664005650063100
        5980053200664005650063100
        5980053200664005650063100
        5980053200664005650063100
        PV$ 215566$ 191774$ 239357$ 203670$ 227461
        NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
        Scenario Analysis
        BaseLowerUpper
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 5800$ 6200
        Fixed costyear$ 50000$ 45000$ 55000
        BASEBESTWORST
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Project Life5years
        Tax rate34
        Required return12
        BASEWORSTBEST
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 6200$ 5800
        Fixed Cost$ 50000$ 55000$ 45000
        Sales$ 480000$ 412500$ 552500
        Variable Cost360000341000377000
        Fixed Cost500005500045000
        Depreciation400004000040000
        EBIT30000(23500)90500
        Taxes10200(7990)30770
        Net Income19800(15510)59730
        + Deprec400004000040000
        TOTAL CF598002449099730
        NPV15566(111719)159504
        IRR151-144409
        NOTENote in WORST CASE tax credit for negative earnings
        $ (200000)$ (200000)$ (200000)
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        PV$215566$88281$359504
        NPV15566(111719)159504
        Majestic Mulch and Compost Company (MMCC)
        YEAR012345678
        Background Data
        Unit Sales Estimates30005000600065006000500040003000
        Variable Cost unit$ 6000
        Fixed Costs per year$ 2500000
        Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
        Tax Rate340
        Required Return on Project150
        Yr 0 NWC$ 2000000
        NWC of sales15
        Equipment cost - installed$ 800000
        Salvage Value in year 820of equipment cost
        Depreciation Calculations
        Equipment Depreciable Base800000
        MACRS (Eqpt-7 yr)1429244917491249892893893446
        Recovery Allowance1143201959201399209992071360714407144035680
        Book Value685680489760349840249920178560107120356800
        After-Tax Salvage Value
        Salvage Value20160000
        Book Value (Year 8)0
        Capital GainLoss160000
        Taxes54400
        Net SV (SV-Taxes)105600
        Required Net Working Capital Investment
        20000540009000010800010725099000825006600049500
        YEAR012345678
        Initial Investment
        Equipment Cost(800000)
        Sales360000600000720000715000660000550000440000330000
        Variable Costs180000300000360000390000360000300000240000180000
        Fixed Costs2500025000250002500025000250002500025000
        Depreciation (Eqpt))1143201959201399209992071360714407144035680
        EBT406807908019508020008020364015356010356089320
        Taxes1383126887663276802769238522103521030369
        Net Operating Income26849521931287531320531344021013506835058951
        Add back Depreciation1143201959201399209992071360714407144035680
        CASH FLOW from Operations14116924811326867323197320576217279013979094631
        NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
        Salvage Value105600
        TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
        Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
        Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
        NPV$65483
        IRR1724
        Payback408
        Depreciation5-year Asset
        YearBeg BVDeprDeprecEnd BV
        1$ 12000002000$ 240000$ 960000
        2$ 9600003200$ 384000$ 576000
        3$ 5760001920$ 230400$ 345600
        4$ 3456001152$ 138240$ 207360
        5$ 2073601152$ 138240$ 69120
        6$ 69120576$ 69120$ - 0
        10000$ 1200000
        EOY 5$3000$221501$78499
        EOY 2$4000$459840($59840)
        Pro Forma Income Statement
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC-2000020000
        Net Capital Spending-90000
        Cash Flow From Assets-110000517805178071780
        Net Present Value$1064769
        IRR2576
        Pro Forma Income Statements
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC(20000)20000
        Net Capital Spending(90000)
        Cash Flow From Assets(110000)517805178071780
        Net Present Value$1064769
        IRR2576
        Sensitivity Analysis
        BaseUnitsFixed Cost
        Units600055006000
        Priceunit$ 808080
        Variable costunit$ 606060
        Fixed costyear$ 500005000055000
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Tax rate34
        Required Return12
        BASEUNITSFC
        Units600055006000
        Priceunit$ 80$ 80$ 80
        Variable costunit$ 60$ 60$ 60
        Fixed cost$ 50000$ 50000$ 55000
        Sales$ 480000$ 440000$ 480000
        Variable Cost360000330000360000
        Fixed Cost500005000055000
        Depreciation400004000040000
        EBIT300002000025000
        Taxes1020068008500
        Net Income198001320016500
        + Deprec400004000040000
        TOTAL CF598005320056500
        NPV$ 15566$ (8226)$ 3670
        Change in NPV-1528-764
        Change in Variable-83100
        SENSITIVITY RATIO1834-764
        DIRECTINVERSE
        Sensitivity Ratio = ( Change in NPV) Change in Variable
        Positive = Direct relationship
        Negative = Inverse relationship
        $ (200000)$ (200000)$ (200000)
        598005320056500
        598005320056500
        598005320056500
        598005320056500
        598005320056500
        PV$ 215566$ 191774$ 203670
        NPV$ 15566$ (8226)$ 3670
        Scenario Analysis
        BaseLowerUpper
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 5800$ 6200
        Fixed costyear$ 50000$ 45000$ 55000
        BASEBESTWORST
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Project Life5years
        Tax rate34
        Required return12
        BASEWORSTBEST
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 6200$ 5800
        Fixed Cost$ 50000$ 55000$ 45000
        Sales$ 480000$ 412500$ 552500
        Variable Cost360000341000377000
        Fixed Cost500005500045000
        Depreciation400004000040000
        EBIT30000(23500)90500
        Taxes10200(7990)30770
        Net Income19800(15510)59730
        + Deprec400004000040000
        TOTAL CF598002449099730
        NPV15566(111719)159504
        IRR151-144409
        NOTENote in WORST CASE tax credit for negative earnings
        $ (200000)$ (200000)$ (200000)
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        PV$215566$88281$359504
        NPV15566(111719)159504
        Majestic Mulch and Compost Company (MMCC)
        YEAR012345678
        Background Data
        Unit Sales Estimates30005000600065006000500040003000
        Variable Cost unit$ 6000
        Fixed Costs per year$ 2500000
        Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
        Tax Rate340
        Required Return on Project150
        Yr 0 NWC$ 2000000
        NWC of sales15
        Equipment cost - installed$ 800000
        Salvage Value in year 820of equipment cost
        Depreciation Calculations
        Equipment Depreciable Base800000
        MACRS (Eqpt-7 yr)1429244917491249892893893446
        Recovery Allowance1143201959201399209992071360714407144035680
        Book Value685680489760349840249920178560107120356800
        After-Tax Salvage Value
        Salvage Value20160000
        Book Value (Year 8)0
        Capital GainLoss160000
        Taxes54400
        Net SV (SV-Taxes)105600
        Required Net Working Capital Investment
        20000540009000010800010725099000825006600049500
        YEAR012345678
        Initial Investment
        Equipment Cost(800000)
        Sales360000600000720000715000660000550000440000330000
        Variable Costs180000300000360000390000360000300000240000180000
        Fixed Costs2500025000250002500025000250002500025000
        Depreciation (Eqpt))1143201959201399209992071360714407144035680
        EBT406807908019508020008020364015356010356089320
        Taxes1383126887663276802769238522103521030369
        Net Operating Income26849521931287531320531344021013506835058951
        Add back Depreciation1143201959201399209992071360714407144035680
        CASH FLOW from Operations14116924811326867323197320576217279013979094631
        NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
        Salvage Value105600
        TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
        Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
        Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
        NPV$65483
        IRR1724
        Payback408
        Depreciation5-year Asset
        YearBeg BVDeprDeprecEnd BV
        1$ 12000002000$ 240000$ 960000
        2$ 9600003200$ 384000$ 576000
        3$ 5760001920$ 230400$ 345600
        4$ 3456001152$ 138240$ 207360
        5$ 2073601152$ 138240$ 69120
        6$ 69120576$ 69120$ - 0
        10000$ 1200000
        EOY 5$3000$221501$78499
        EOY 2$4000$459840($59840)
        Pro Forma Income Statement
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC-2000020000
        Net Capital Spending-90000
        Cash Flow From Assets-110000517805178071780
        Net Present Value$1064769
        IRR2576
        Pro Forma Income Statements
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC(20000)20000
        Net Capital Spending(90000)
        Cash Flow From Assets(110000)517805178071780
        Net Present Value$1064769
        IRR2576
        Sensitivity Analysis
        BaseUnitsFixed Cost
        Units600055006000
        Priceunit$ 808080
        Variable costunit$ 606060
        Fixed costyear$ 500005000055000
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Tax rate34
        Required Return12
        BASEUNITSFC
        Units600055006000
        Priceunit$ 80$ 80$ 80
        Variable costunit$ 60$ 60$ 60
        Fixed cost$ 50000$ 50000$ 55000
        Sales$ 480000$ 440000$ 480000
        Variable Cost360000330000360000
        Fixed Cost500005000055000
        Depreciation400004000040000
        EBIT300002000025000
        Taxes1020068008500
        Net Income198001320016500
        + Deprec400004000040000
        TOTAL CF598005320056500
        NPV$ 15566$ (8226)$ 3670
        Change in NPV-1528-764
        Change in Variable-83100
        SENSITIVITY RATIO1834-764
        DIRECTINVERSE
        Sensitivity Ratio = ( Change in NPV) Change in Variable
        Positive = Direct relationship
        Negative = Inverse relationship
        $ (200000)$ (200000)$ (200000)
        598005320056500
        598005320056500
        598005320056500
        598005320056500
        598005320056500
        PV$ 215566$ 191774$ 203670
        NPV$ 15566$ (8226)$ 3670
        Scenario Analysis
        BaseLowerUpper
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 5800$ 6200
        Fixed costyear$ 50000$ 45000$ 55000
        BASEBESTWORST
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Project Life5years
        Tax rate34
        Required return12
        BASEWORSTBEST
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 6200$ 5800
        Fixed Cost$ 50000$ 55000$ 45000
        Sales$ 480000$ 412500$ 552500
        Variable Cost360000341000377000
        Fixed Cost500005500045000
        Depreciation400004000040000
        EBIT30000(23500)90500
        Taxes10200(7990)30770
        Net Income19800(15510)59730
        + Deprec400004000040000
        TOTAL CF598002449099730
        NPV15566(111719)159504
        IRR151-144409
        NOTENote in WORST CASE tax credit for negative earnings
        $ (200000)$ (200000)$ (200000)
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        PV$215566$88281$359504
        NPV15566(111719)159504
        Majestic Mulch and Compost Company (MMCC)
        YEAR012345678
        Background Data
        Unit Sales Estimates30005000600065006000500040003000
        Variable Cost unit$ 6000
        Fixed Costs per year$ 2500000
        Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
        Tax Rate340
        Required Return on Project150
        Yr 0 NWC$ 2000000
        NWC of sales15
        Equipment cost - installed$ 800000
        Salvage Value in year 820of equipment cost
        Depreciation Calculations
        Equipment Depreciable Base800000
        MACRS (Eqpt-7 yr)1429244917491249892893893446
        Recovery Allowance1143201959201399209992071360714407144035680
        Book Value685680489760349840249920178560107120356800
        After-Tax Salvage Value
        Salvage Value20160000
        Book Value (Year 8)0
        Capital GainLoss160000
        Taxes54400
        Net SV (SV-Taxes)105600
        Required Net Working Capital Investment
        20000540009000010800010725099000825006600049500
        YEAR012345678
        Initial Investment
        Equipment Cost(800000)
        Sales360000600000720000715000660000550000440000330000
        Variable Costs180000300000360000390000360000300000240000180000
        Fixed Costs2500025000250002500025000250002500025000
        Depreciation (Eqpt))1143201959201399209992071360714407144035680
        EBT406807908019508020008020364015356010356089320
        Taxes1383126887663276802769238522103521030369
        Net Operating Income26849521931287531320531344021013506835058951
        Add back Depreciation1143201959201399209992071360714407144035680
        CASH FLOW from Operations14116924811326867323197320576217279013979094631
        NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
        Salvage Value105600
        TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
        Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
        Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
        NPV$65483
        IRR1724
        Payback408
        Depreciation5-year Asset
        YearBeg BVDeprDeprecEnd BV
        1$ 12000002000$ 240000$ 960000
        2$ 9600003200$ 384000$ 576000
        3$ 5760001920$ 230400$ 345600
        4$ 3456001152$ 138240$ 207360
        5$ 2073601152$ 138240$ 69120
        6$ 69120576$ 69120$ - 0
        10000$ 1200000
        EOY 5$3000$221501$78499
        EOY 2$4000$459840($59840)
        Pro Forma Income Statement
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC-2000020000
        Net Capital Spending-90000
        Cash Flow From Assets-110000517805178071780
        Net Present Value$1064769
        IRR2576
        Pro Forma Income Statements
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC(20000)20000
        Net Capital Spending(90000)
        Cash Flow From Assets(110000)517805178071780
        Net Present Value$1064769
        IRR2576
        Sensitivity Analysis
        BaseUnitsFixed Cost
        Units600055006000
        Priceunit$ 808080
        Variable costunit$ 606060
        Fixed costyear$ 500005000055000
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Tax rate34
        Required Return12
        BASEUNITSFC
        Units600055006000
        Priceunit$ 80$ 80$ 80
        Variable costunit$ 60$ 60$ 60
        Fixed cost$ 50000$ 50000$ 55000
        Sales$ 480000$ 440000$ 480000
        Variable Cost360000330000360000
        Fixed Cost500005000055000
        Depreciation400004000040000
        EBIT300002000025000
        Taxes1020068008500
        Net Income198001320016500
        + Deprec400004000040000
        TOTAL CF598005320056500
        NPV$ 15566$ (8226)$ 3670
        Change in NPV-1528-764
        Change in Variable-83100
        SENSITIVITY RATIO1834-764
        DIRECTINVERSE
        Sensitivity Ratio = ( Change in NPV) Change in Variable
        Positive = Direct relationship
        Negative = Inverse relationship
        $ (200000)$ (200000)$ (200000)
        598005320056500
        598005320056500
        598005320056500
        598005320056500
        598005320056500
        PV$ 215566$ 191774$ 203670
        NPV$ 15566$ (8226)$ 3670
        Scenario Analysis
        BaseLowerUpper
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 5800$ 6200
        Fixed costyear$ 50000$ 45000$ 55000
        BASEBESTWORST
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Project Life5years
        Tax rate34
        Required return12
        BASEWORSTBEST
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 6200$ 5800
        Fixed Cost$ 50000$ 55000$ 45000
        Sales$ 480000$ 412500$ 552500
        Variable Cost360000341000377000
        Fixed Cost500005500045000
        Depreciation400004000040000
        EBIT30000(23500)90500
        Taxes10200(7990)30770
        Net Income19800(15510)59730
        + Deprec400004000040000
        TOTAL CF598002449099730
        NPV15566(111719)159504
        IRR151-144409
        NOTENote in WORST CASE tax credit for negative earnings
        $ (200000)$ (200000)$ (200000)
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        PV$215566$88281$359504
        NPV15566(111719)159504
        Majestic Mulch and Compost Company (MMCC)
        YEAR012345678
        Background Data
        Unit Sales Estimates30005000600065006000500040003000
        Variable Cost unit$ 6000
        Fixed Costs per year$ 2500000
        Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
        Tax Rate340
        Required Return on Project150
        Yr 0 NWC$ 2000000
        NWC of sales15
        Equipment cost - installed$ 800000
        Salvage Value in year 820of equipment cost
        Depreciation Calculations
        Equipment Depreciable Base800000
        MACRS (Eqpt-7 yr)1429244917491249893893893445
        Recovery Allowance1143201959201399209992071440714407144035600
        Book Value685680489760349840249920178480107040356000
        After-Tax Salvage Value
        Salvage Value20160000
        Book Value (Year 8)0
        Capital GainLoss160000
        Taxes54400
        Net SV (SV-Taxes)105600
        Required Net Working Capital Investment
        20000540009000010800010725099000825006600049500
        YEAR012345678
        Initial Investment
        Equipment Cost(800000)
        Sales360000600000720000715000660000550000440000330000
        Variable Costs180000300000360000390000360000300000240000180000
        Fixed Costs2500025000250002500025000250002500025000
        Depreciation (Eqpt))1143201959201399209992071440714407144035600
        EBT406807908019508020008020356015356010356089400
        Taxes1383126887663276802769210522103521030396
        Net Operating Income26849521931287531320531343501013506835059004
        Add back Depreciation1143201959201399209992071440714407144035600
        CASH FLOW from Operations14116924811326867323197320579017279013979094604
        NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
        Salvage Value105600
        TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
        Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
        NPV$ 65488
        IRR1724
        Depreciation5-year Asset
        YearBeg BVDeprDeprecEnd BV
        1$ 12000002000$ 240000$ 960000
        2$ 9600003200$ 384000$ 576000
        3$ 5760001920$ 230400$ 345600
        4$ 3456001152$ 138240$ 207360
        5$ 2073601152$ 138240$ 69120
        6$ 69120576$ 69120$ - 0
        10000$ 1200000
        EOY 5$3000$221501$78499
        EOY 2$4000$459840($59840)
        Pro Forma Income Statement
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC-2000020000
        Net Capital Spending-90000
        Cash Flow From Assets-110000517805178071780
        Net Present Value$1064769
        IRR2576
        Pro Forma Income Statements
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC(20000)20000
        Net Capital Spending(90000)
        Cash Flow From Assets(110000)517805178071780
        Net Present Value$1064769
        IRR2576
        Sensitivity Analysis
        BaseUnitsFixed Cost
        Units600055006000
        Priceunit$ 808080
        Variable costunit$ 606060
        Fixed costyear$ 500005000055000
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Tax rate34
        Required Return12
        BASEUNITSFC
        Units600055006000
        Priceunit$ 80$ 80$ 80
        Variable costunit$ 60$ 60$ 60
        Fixed cost$ 50000$ 50000$ 55000
        Sales$ 480000$ 440000$ 480000
        Variable Cost360000330000360000
        Fixed Cost500005000055000
        Depreciation400004000040000
        EBIT300002000025000
        Taxes1020068008500
        Net Income198001320016500
        + Deprec400004000040000
        TOTAL CF598005320056500
        NPV$ 15566$ (8226)$ 3670
        Change in NPV-1528-764
        Change in Variable-83100
        SENSITIVITY RATIO1834-764
        DIRECTINVERSE
        Sensitivity Ratio = ( Change in NPV) Change in Variable
        Positive = Direct relationship
        Negative = Inverse relationship
        $ (200000)$ (200000)$ (200000)
        598005320056500
        598005320056500
        598005320056500
        598005320056500
        598005320056500
        PV$ 215566$ 191774$ 203670
        NPV$ 15566$ (8226)$ 3670
        Scenario Analysis
        BaseLowerUpper
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 5800$ 6200
        Fixed costyear$ 50000$ 45000$ 55000
        BASEBESTWORST
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Project Life5years
        Tax rate34
        Required return12
        BASEWORSTBEST
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 6200$ 5800
        Fixed Cost$ 50000$ 55000$ 45000
        Sales$ 480000$ 412500$ 552500
        Variable Cost360000341000377000
        Fixed Cost500005500045000
        Depreciation400004000040000
        EBIT30000(23500)90500
        Taxes10200(7990)30770
        Net Income19800(15510)59730
        + Deprec400004000040000
        TOTAL CF598002449099730
        NPV15566(111719)159504
        IRR151-144409
        NOTENote in WORST CASE tax credit for negative earnings
        $ (200000)$ (200000)$ (200000)
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        PV$215566$88281$359504
        NPV15566(111719)159504
        Majestic Mulch and Compost Company (MMCC)
        YEAR012345678
        Background Data
        Unit Sales Estimates30005000600065006000500040003000
        Variable Cost unit$ 6000
        Fixed Costs per year$ 2500000
        Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
        Tax Rate340
        Required Return on Project150
        Yr 0 NWC$ 2000000
        NWC of sales15
        Equipment cost - installed$ 800000
        Salvage Value in year 820of equipment cost
        Depreciation Calculations
        Equipment Depreciable Base800000
        MACRS (Eqpt-7 yr)1429244917491249893893893445
        Recovery Allowance1143201959201399209992071440714407144035600
        Book Value685680489760349840249920178480107040356000
        After-Tax Salvage Value
        Salvage Value20160000
        Book Value (Year 8)0
        Capital GainLoss160000
        Taxes54400
        Net SV (SV-Taxes)105600
        Required Net Working Capital Investment
        20000540009000010800010725099000825006600049500
        YEAR012345678
        Initial Investment
        Equipment Cost(800000)
        Sales360000600000720000715000660000550000440000330000
        Variable Costs180000300000360000390000360000300000240000180000
        Fixed Costs2500025000250002500025000250002500025000
        Depreciation (Eqpt))1143201959201399209992071440714407144035600
        EBT406807908019508020008020356015356010356089400
        Taxes1383126887663276802769210522103521030396
        Net Operating Income26849521931287531320531343501013506835059004
        Add back Depreciation1143201959201399209992071440714407144035600
        CASH FLOW from Operations14116924811326867323197320579017279013979094604
        NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
        Salvage Value105600
        TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
        Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
        NPV$ 65488
        IRR1724
        Depreciation5-year Asset
        YearBeg BVDeprDeprecEnd BV
        1$ 12000002000$ 240000$ 960000
        2$ 9600003200$ 384000$ 576000
        3$ 5760001920$ 230400$ 345600
        4$ 3456001152$ 138240$ 207360
        5$ 2073601152$ 138240$ 69120
        6$ 69120576$ 69120$ - 0
        10000$ 1200000
        EOY 5$3000$221501$78499
        EOY 2$4000$459840($59840)
        Pro Forma Income Statement
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC-2000020000
        Net Capital Spending-90000
        Cash Flow From Assets-110000517805178071780
        Net Present Value$1064769
        IRR2576
        Pro Forma Income Statements
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC(20000)20000
        Net Capital Spending(90000)
        Cash Flow From Assets(110000)517805178071780
        Net Present Value$1064769
        IRR2576
        Sensitivity Analysis
        BaseUnitsFixed Cost
        Units600055006000
        Priceunit$ 808080
        Variable costunit$ 606060
        Fixed costyear$ 500005000055000
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Tax rate34
        Required Return12
        BASEUNITSFC
        Units600055006000
        Priceunit$ 80$ 80$ 80
        Variable costunit$ 60$ 60$ 60
        Fixed cost$ 50000$ 50000$ 55000
        Sales$ 480000$ 440000$ 480000
        Variable Cost360000330000360000
        Fixed Cost500005000055000
        Depreciation400004000040000
        EBIT300002000025000
        Taxes1020068008500
        Net Income198001320016500
        + Deprec400004000040000
        TOTAL CF598005320056500
        NPV$ 15566$ (8226)$ 3670
        Change in NPV-1528-764
        Change in Variable-83100
        SENSITIVITY RATIO1834-764
        DIRECTINVERSE
        Sensitivity Ratio = ( Change in NPV) Change in Variable
        Positive = Direct relationship
        Negative = Inverse relationship
        $ (200000)$ (200000)$ (200000)
        598005320056500
        598005320056500
        598005320056500
        598005320056500
        598005320056500
        PV$ 215566$ 191774$ 203670
        NPV$ 15566$ (8226)$ 3670
        Scenario Analysis
        BaseLowerUpper
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 5800$ 6200
        Fixed costyear$ 50000$ 45000$ 55000
        BASEBESTWORST
        Initial investment$ 200000
        Depreciated to salvage value of 0 over 5 years
        Deprecyr$ 40000
        Project Life5years
        Tax rate34
        Required return12
        BASEWORSTBEST
        Units600055006500
        Priceunit$ 8000$ 7500$ 8500
        Variable costunit$ 6000$ 6200$ 5800
        Fixed Cost$ 50000$ 55000$ 45000
        Sales$ 480000$ 412500$ 552500
        Variable Cost360000341000377000
        Fixed Cost500005500045000
        Depreciation400004000040000
        EBIT30000(23500)90500
        Taxes10200(7990)30770
        Net Income19800(15510)59730
        + Deprec400004000040000
        TOTAL CF598002449099730
        NPV15566(111719)159504
        IRR151-144409
        NOTENote in WORST CASE tax credit for negative earnings
        $ (200000)$ (200000)$ (200000)
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        598002449099730
        PV$215566$88281$359504
        NPV15566(111719)159504
        Majestic Mulch and Compost Company (MMCC)
        YEAR012345678
        Background Data
        Unit Sales Estimates30005000600065006000500040003000
        Variable Cost unit$ 6000
        Fixed Costs per year$ 2500000
        Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
        Tax Rate340
        Required Return on Project150
        Yr 0 NWC$ 2000000
        NWC of sales15
        Equipment cost - installed$ 800000
        Salvage Value in year 820of equipment cost
        Depreciation Calculations
        Equipment Depreciable Base800000
        MACRS (Eqpt-7 yr)1429244917491249893893893445
        Recovery Allowance1143201959201399209992071440714407144035600
        Book Value685680489760349840249920178480107040356000
        After-Tax Salvage Value
        Salvage Value20160000
        Book Value (Year 8)0
        Capital GainLoss160000
        Taxes54400
        Net SV (SV-Taxes)105600
        Required Net Working Capital Investment
        20000540009000010800010725099000825006600049500
        YEAR012345678
        Initial Investment
        Equipment Cost(800000)
        Sales360000600000720000715000660000550000440000330000
        Variable Costs180000300000360000390000360000300000240000180000
        Fixed Costs2500025000250002500025000250002500025000
        Depreciation (Eqpt))1143201959201399209992071440714407144035600
        EBT406807908019508020008020356015356010356089400
        Taxes1383126887663276802769210522103521030396
        Net Operating Income26849521931287531320531343501013506835059004
        Add back Depreciation1143201959201399209992071440714407144035600
        CASH FLOW from Operations14116924811326867323197320579017279013979094604
        NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
        Salvage Value105600
        TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
        Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
        NPV$ 65488
        IRR1724
        Depreciation5-year Asset
        YearBeg BVDeprDeprecEnd BV
        1$ 12000002000$ 240000$ 960000
        2$ 9600003200$ 384000$ 576000
        3$ 5760001920$ 230400$ 345600
        4$ 3456001152$ 138240$ 207360
        5$ 2073601152$ 138240$ 69120
        6$ 69120576$ 69120$ - 0
        10000$ 1200000
        EOY 5$3000$221501$78499
        EOY 2$4000$459840($59840)
        Pro Forma Income Statement
        Year0123
        Sales200000200000200000
        Variable Costs125000125000125000
        Gross Profit750007500075000
        Fixed Costs120001200012000
        Depreciation300003000030000
        EBIT330003300033000
        Taxes112201122011220
        Net Income217802178021780
        Cash Flows
        Operating Cash Flow517805178051780
        Changes in NWC-2000020000
        Net Capital Spending-90000
        Cash Flow From Assets-110000517805178071780
        Net Present Value$1064769
        IRR2576
        Depreciation5-year Asset
        YearBeg BVDeprDeprecEnd BV
        1$ 12000002000$ 240000$ 960000
        2$ 9600003200$ 384000$ 576000
        3$ 5760001920$ 230400$ 345600
        4$ 3456001152$ 138240$ 207360
        5$ 2073601152$ 138240$ 69120
        6$ 69120576$ 69120$ - 0
        10000$ 1200000
        Depreciation5-year Asset
        YearBeg BVDeprDeprecEnd BV
        1$ 12000002000$ 240000$ 960000
        2$ 9600003200$ 384000$ 576000
        3$ 5760001920$ 230400$ 345600
        4$ 3456001152$ 138240$ 207360
        5$ 2073601152$ 138240$ 69120
        6$ 69120576$ 69120$ - 0
        10000$ 1200000

        Blue Hen Brewery has developed a new style of beer that they think will be a big seller in the marketplace Higher alcohol content 16 ounce cans vs 12 ounce bottles

        We need to determine whether or not this investment will increase shareholder value

        9-4

        Cash flow estimates are the starting point in analyzing an investment The cash flows were simply given to us in Chapter 8

        We now need to understand where these cash flows come from And determine which cash flows should be considered in

        the investment decision

        9-5

        Understand how to determine the relevant cash flows for a proposed investment

        Understand how to analyze a projectrsquos projected cash flows

        Learn how to evaluate an estimated NPV Scenario analysis Sensitivity analysis

        9-6

        Relevant Cash Flows

        9-7

        Once a company decides to take on a new investment project their cash flows are going to be different If the Blue Hen Brewery takes on this new product

        line their cash flows will be altered

        The challenge for the Finance manager is to determine if the change in cash flows that result from the investment will increase the shareholder value

        9-8

        9-9

        Incremental Cash Flows for a Project

        Relevant Cash Flows

        Include only cash flows that will only occur if the project is accepted Incremental cash flows

        The stand-alone principle allows us to analyze each project in isolation from the firm simply by focusing on incremental cash flows

        In general it is easy to determine cash flows that are directly linked to the investment project under consideration Incremental revenue from the new product (eg

        sales of the new beer) Incremental costs from the new product (eg

        brewing ingredients packaging marketing)

        There are however some situations where it can be difficult to determine if cash flows are or are not relevant

        9-10

        Relevant

        bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter tax salvage value

        Not Relevant

        bull ldquoSunkrdquo costsbullFinancing costs

        9-11

        The most valuable alternative that is given up if a particular investment is undertaken

        If the project being considered is using an asset that has alternative uses and value then it is a relevant cash flow

        9-12

        Opportunity Cost

        For the new Blue Hen Brewery beer being considered the plan is to use an older brewery building that was purchased years ago for $100000 and after depreciation is currently on their books for $40000

        Should this be considered in the cash flow analysis for evaluating the new higher-alcohol product for Blue Hen Brewery If so what is the relevant cash flow amount

        9-13

        Which of the following is correct with respect to how to treat the old building that will be used for the new Blue Hen Brewery productA Since it is currently not being used it should be viewed as

        ldquofreerdquo and have no impact on the cash flow for analyzing the new investment opportunity (ie this is a sunk cost)

        B The cash flow impact to the project should be $100000 since this is what the building cost years ago

        C The cash flow impact to the project should be $40000 since this is what the book value of the building currently is

        D None of the above

        9-14

        The opportunity cost is what the building and land could be sold for (ie the current market value of the building) This is the most valuable alternative that is given up if a

        particular investment is undertaken So if the building could be sold for say $75000 then it

        is this amount of $75000 that is a relevant cash flow in the investment decision

        9-15

        9-16

        When a company launches a new product there could be ldquospilloverrdquo impacts on the sales of existing products Known as ldquoside effectsrdquo Can be positive ndash the new product increases the

        sales of existing products Can be negative ndash the new product decreases

        the sales of existing products (called ldquoerosionrdquo)

        The cash flow of a new project that comes at the expense of a firmrsquos existing projects

        Also known as ldquoproduct cannibalizationrdquo

        9-17

        Erosion

        There are many very loyal customers of Blue Hen Brewery that drink only Blue Hen beer products

        Some of these customers will buy the new higher-alcohol products instead of buying existing Blue Hen Brewery products This new product will ldquoeroderdquo or ldquocannibalizerdquo existing

        product lines

        This is a relevant cash flow impact that should be considered in the investment analysis for the new product

        9-18

        Thrill Rides is considering adding a new roller coaster to its amusement park The addition is expected to increase its overall ticket sales In particular the company expects to sell more tickets for its current roller coaster and experience extremely high demand for its new coaster Sales for its boat ride are expected to decline but food and beverage sales are expected to increase significantly All of the following are side effects associated with the new roller coaster with the exception of the

        A Increased food sales

        B Additional sales for the existing coaster

        C Increased food costs from the higher food sales

        D Reduced sales for the boat ride

        E Ticket sales for the new coaster

        9-19

        9-20

        Net working capital is Current Assets minus Current Liabilities

        Current Assets Current Liabilitiesbull Cashbull Accounts Receivablebull Inventory

        bull Accounts Payable

        Most investment projects will impact a firmrsquos working capital Accounts receivable and inventory would increase to

        support higher sales levels Accounts payable would likely increase as inventory

        increases

        These cash flows donrsquot appear on the income statement due to the GAAP matching principle Sales recorded when made not when cash is received Cost of goods sold recorded when sales are made

        whether suppliers paid yet or not

        9-21

        In general most projects will require an investment in working capital at the beginning of the project This would need to be captured in the cash flow analysis

        (as a cash outflow) at the time of launch or in the first year

        At the end of the project the increase in working capital would no longer be needed as inventories are sold receivables collected etc This would need to be captured in the last year of the

        project as a cash inflow from the release of working capital

        9-22

        We need to consider the tax impacts of all cash flows

        Incremental cash flows are meant to be after-taxincremental cash flows

        Which tax rate is most relevant for after-tax cash flowsA Marginal tax rateB Average tax rate

        9-23

        Many projects will require an investment in long-term assets at the beginning of the project This would need to be captured in the cash flow

        analysis (as a cash outflow) at the time of launch

        At the end of the project if there is value in this fixed asset the after-tax salvage value needs to be determined

        9-24

        If the salvage value is different from the book value of the asset then there is a tax effect which impacts cash flows

        9-25

        After-Tax Salvage

        Salvage Amount= Tax rate [Salvage

        Amount ndash Book Value]-

        Book Value Initial Cost= - Accumulated

        Depreciation

        Straight-line depreciationD = (Initial cost ndash salvage) number of yearsStraight Line rarr Salvage Value

        MACRS (Accelerated Depreciation)Depreciate rarr 0Recovery Period = Class Life12 Year ConventionMultiply percentage in table by the initial cost

        9-26Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

        You purchase a new piece of equipment for $100000 to be used in a project that will last 4 years If it is depreciated on a straight-line basis over 5 years what is the book value after 4 years

        A $80000B $75000C $25000D $20000E $0

        9-27

        If you then sell this fixed asset at the end of the project (after 4 years) for $20000 what is your after-tax salvage value (Assume a 30 tax rate)

        A $26000B $20000C $14000D $80000E $0

        9-28

        If you then sell this fixed asset at the end of the project (after 4 years) for $30000 what is your after-tax salvage value (Assume a 30 tax rate)

        A $39000B $30000C $27000D $21000E $0

        9-29

        Net Salvage Cash Flow = SP - (SP-BV)(T)

        WhereSP = Selling PriceBV = Book ValueT = Corporate tax rate

        Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-30

        This represents the tax paid on the gain or the tax benefit of the loss

        Depreciation and After-Tax Salvage Car purchased for $12000 5-year property Marginal tax rate = 34

        9-31

        Depreciation 5-year Asset

        Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

        10000 1200000$

        Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

        Sheet1

        Sheet2

        Sheet3

        Depreciation 5-year Asset

        Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

        10000 1200000$

        Net Salvage Cash Flow = SP - (SP-BV)(T)If sold at EOY 5 for $3000

        NSCF = 3000 - (3000 - 69120)(34) = $221501= $3000 ndash 78499 = $221501

        If sold at EOY 2 for $4000NSCF = 4000 - (4000 - 5760)(34) = $459840

        = $4000 ndash (-59840) = $459840

        Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-32

        What is the after-tax net salvage cash flow at end of year 5 and 2

        Sheet1

        Sheet2

        Sheet3

        A cost that has already been incurred and cannot be recouped

        Therefore it should not be considered in an investment decision

        9-33

        Sunk Cost

        The Blue Hen Brewery spent $100000 on market research and consulting fees to analyze their higher-alcohol beer product

        Is this a sunk costA YesB NoC More information is needed

        9-34

        In Chapter 2 we learned that financing costs (eg interest expense) is a cash flow to creditors Interest expense is not an operating expense

        We care only about cash flow from assets when we make investment decisions

        Financing decisions are important but this is a separate question from deciding if an investment increases shareholder value or not Thus Financing costs are not a relevant cash flow in

        analyzing an investment project

        9-35

        Relevant

        bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter-tax salvage value

        Not Relevant

        bull ldquoSunkrdquo costsbullFinancing costs

        9-36

        Which one of the following principles refers to the assumption that a project will be evaluated based on its incremental cash flows

        A Forecast assumption principleB Base assumption principleC Fallacy principleD Erosion principle E Stand-alone principle

        9-37

        A cost that should be ignored when evaluating a project because that cost has already been incurred and cannot be recouped is referred to as a(n)

        A Fixed costB Forgotten costC Variable costD Opportunity costE Sunk cost

        9-38

        Lake City Plastics currently produces plastic plates and silverware The company is considering expanding its product offerings to include plastic serving trays All of the following are relevant costs to this project with the exception of

        A The cost of additional utilities required to operate the serving tray production operation

        B Any change in the expected sales of plates and silverware gained from offering trays also

        C A percentage of the current operating overhead

        D The additional plastic raw materials that would be required

        E The cost to acquire the forms needed to mold the trays

        9-39

        Which one of the following terms is most commonly used to describe the cash flows of a new project that are simply an offset of reduced cash flows for a current project

        A Opportunity costB Sunk costC ErosionD Replicated flowsE Pirated flows

        9-40

        Pro Forma Financial

        Statements and Cash Flows

        9-41

        The process to evaluate a proposed investment is as follows

        9-42

        Pro Forma Financial

        Statements

        Projected Cash Flows

        Estimate Project Value

        bull Assumptions are gathered and these serve as the basis for the pro forma financial statements

        bull Incremental cash flows need to be determined Cash flow from

        assets

        bull Project value is determined NPV IRR PI Payback

        Financial statements projecting future yearsrsquo operations Pro forma income

        statement Pro forma balance sheet

        Summarizes all relevant information for a project

        9-43

        Pro Forma Financial

        Statements

        Underwater Adventures Inc specializes in selling unique underwater experiences for scuba divers and snorkelers They have developed a ldquoshark attractantrdquo product to meet

        this demand of customers who want to get close to sharks for better photos to post on social media

        We have been asked to evaluate whether launching this product is a good idea

        9-44

        Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

        100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

        Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-45

        9-46Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

        Sales (50000 units at $400unit) $200000Variable Costs ($250unit) ($125000)Gross Profit $75000Fixed Costs ($12000)Depreciation ($90000 3) ($30000)EBIT $33000Taxes (34) ($11200)

        Net Income $21780

        The pro forma income statement currently does not have any interest expense

        Should interest expense be includedA YesB No

        9-47

        No interest expense is a financing expense and not a component of operating cash flow

        We need to understand the cash flow impacts that result from changes in the balance sheet Investments in working capital (eg higher

        inventory and accounts receivable) Investments in fixed assets (ie capital

        requirements of the project) We donrsquot care about the financing aspects

        of the balance sheet For the same reason we didnrsquot consider interest

        expense in the pro forma income statement9-48

        Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

        100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

        Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-49

        9-50Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

        Year0 1 2 3

        Net Working Capital

        $20000 $20000 $20000 $20000

        Net Fixed Assets

        90000 60000 30000 0

        Total Investment

        $110000 $80000 $50000 $20000

        Net Fixed Assets declines by the amount of depreciation each year

        The process to evaluate a proposed investment is as follows

        9-51

        Pro Forma Financial

        Statements

        Projected Cash Flows

        Estimate Project Value

        9-52

        Net Income Depreciation= +

        Earnings Before Interest amp Taxes Depreciation Taxes= + -

        Operating Cash Flow

        Operating Cash Flow= minus

        Net Capital

        Spending

        Changes in Net

        Working Capital

        Cash Flow from

        Assetsminus

        + Interest

        Will be 0 since interest is not a

        relevant cash flow

        9-53

        Sales (50000 units at $400unit)

        $200000

        Variable Costs ($250unit) (125000)

        Gross profit $ 75000

        Fixed costs (12000)

        Depreciation ($90000 3) (30000)

        EBIT $ 33000

        Taxes (34) (11220)

        Net Income $ 21780=======

        What is the operating cash flow

        A $21750B $33000C $63000D $51780E $63780

        9-54

        Net Income Depreciation= + If no interest expense

        Earnings Before Interest amp Taxes Depreciation Taxes= + -

        Operating Cash Flow

        $21780 $30000= +If no interest

        expense

        $33000 $30000 $11220= + -Operating Cash Flow

        = $51780

        9-55

        Year

        0 1 2 3

        OCF $51780 $51780 $51780

        NWC -$20000 20000

        Capital Spending

        -$90000

        CFFA -$110000 $51780 $51780 $71780

        Note Investment in NWC is recovered in final yearEquipment cost is a cash outflow in year 0

        Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

        9-56Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

        Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

        Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

        Pro Forma Income Statement

        Cash Flows

        The process to evaluate a proposed investment is as follows

        9-57

        Pro Forma Financial

        Statements

        Projected Cash Flows

        Estimate Project Value

        9-58

        Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

        Net Present Value $1064769IRR 2576

        Cash Flows

        We can estimate the project value by calculation the NPV and IRR

        SHARK

        DEPRC

        MMCC

        Scenario

        Sensitivity

        Pro Forma

        9-59

        Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

        Net Present Value $1064769IRR 2576

        Cash Flows

        Should we accept or reject the project

        Acceptbull The NPV is gt 0bull The IRR is greater than the

        required rate of return of 20

        SHARK

        DEPRC

        MMCC

        Scenario

        Sensitivity

        Pro Forma

        9-60

        Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

        Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

        Net Present Value $1064769IRR 2576

        Pro Forma Income Statement

        Cash Flows

        OCF = EBIT + Depreciation ndash TaxesOCF = Net Income + Depreciation (if no interest)

        Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

        SHARK

        DEPRC

        MMCC

        Scenario

        Sensitivity

        Pro Forma

        A new project is expected to generate an operating cash flow of $38728 and will initially free up $11610 in net working capital Purchases of fixed assets costing $52800 will be required to start up the project What is the total cash flow for this project at time zero

        A -$64410

        B -$41190

        C -$52800

        D $25682

        E $50338

        9-61

        The pro forma income statement for a proposed investment should include all of the following except

        A Fixed costsB Forecasted salesC Depreciation expenseD TaxesE Changes in net working capital

        9-62

        9-63

        Sales (50000 units at $400unit)

        $200000

        Variable Costs ($250unit) (125000)

        Gross profit $ 75000

        Fixed costs (12000)

        Depreciation ($90000 3) (30000)

        EBIT $ 33000

        Taxes (34) (11220)

        Net Income $ 21780=======

        What is the operating cash flow (using the approaches already learned)

        A $21750B $33000C $63000D $51780E $63780

        9-64

        Net Income Depreciation= + If no interest expense

        Earnings Before Interest amp Taxes Depreciation Taxes= + -

        Operating Cash Flow

        $21780 $30000= +If no interest

        expense

        $33000 $30000 $11220= + -Operating Cash Flow

        = $51780

        Option 1

        Option 2

        The tax savings that results from the depreciation deduction

        Calculated as depreciation multiplied by the corporate tax rate

        9-65

        Depreciation Tax Shield

        9-66

        (Sales ndash Costs) (1 ndash Tax Rate) = +Operating

        Cash FlowDepreciation Tax Rate

        Option 3

        9-67

        Sales (50000 units at $400unit)

        $200000

        Variable Costs ($250unit) (125000)

        Gross profit $ 75000

        Fixed costs (12000)

        Depreciation ($90000 3) (30000)

        EBIT $ 33000

        Taxes (34) (11220)

        Net Income $ 21780=======

        What is the operating cash flow using the tax shield approach

        9-68

        ($200000 -$137000) 66

        + $30000 34

        = $51780

        =

        (Sales ndash Costs) (1 ndash Tax Rate) = +Operating

        Cash FlowDepreciation Tax Rate

        Which one of the following is the formula for computing operating cash flow

        A Net Income + Depreciation + InterestB Net Income + Depreciation - InterestC EBIT + Depreciation - TaxesD (Sales ndash Costs) (1-Tax Rate) + (Depreciation Tax Rate)E A C and D

        9-69

        Evaluating NPV

        Estimates

        9-70

        Calculating NPV is just an estimate based on the best information available The calculations could be wrong The confidence level in the analysis is a

        judgment call A positive NPV suggests the project may be

        worth doing But more analysis normally would be required

        It is important to understand what the NPV looks like when things donrsquot go as planned

        9-71

        9-72

        If NPV gt 0 Accept the project

        Maybe accept the

        project

        Why maybe

        9-73

        What drives the NPV result

        Projected future cash

        flow

        How do you know your projected estimates are

        accurate

        9-74

        Forecasting Risk

        We need to develop some tools to understand where potential estimate errors may exist

        The possibility that errors (or poor estimates) in projected cash flows will lead to incorrect decisions

        Also called ldquoestimation riskrdquo

        The following tools will help assess the reasonableness of the NPV analysis

        9-75

        What-If Analysis

        Scenario analysis Sensitivity analysis

        Understand sources of value

        Articulate what drives the investment to deliver a positive NPV

        A positive NPV is creating value for the shareholders

        We should understand what is the source of this value

        9-76

        Project Idea Potential Questions to Answer

        New Product bull Is this new product better than the competitionbull Does this new product meet an unmet consumer need

        Marketing Campaign

        bull Is it reasonable that this marketing effort can increase sales as estimated

        CompanyAcquisition

        bull Are there sufficient synergies that can be realized to justify the purchase price

        Cost Improvements

        bull How realistic is it that the expected cost savings will truly materialize in the time frame noted (without unexpected negative impacts)

        9-77

        Scenario Analysis

        The determination of what happens to NPV estimates when we ask what-if questions

        Sensitivity Analysis

        Investigation of what happens to NPV estimates when only one variable is changed

        Scenario and Sensitivity Analysis

        9-78

        Examines several possible situations Worst case Base case or most likely case Best case

        Provides a range of possible outcomes

        Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-79

        Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

        Base Lower UpperUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 5800$ 6200$ Fixed costyear 50000$ 45000$ 55000$

        BASE BEST WORST

        Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

        Project Life 5 yearsTax rate 34Required return 12

        Note ldquoLowerrdquo ne WorstldquoUpperrdquo ne Best

        9-80

        SHARK

        DEPRC

        MMCC

        Scenario

        Sensitivity

        Pro Forma

        Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

        BASE WORST BESTUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 6200$ 5800$ Fixed Cost 50000$ 55000$ 45000$

        Sales 480000$ 412500$ 552500$ Variable Cost 360000 341000 377000Fixed Cost 50000 55000 45000Depreciation 40000 40000 40000EBIT 30000 (23500) 90500Taxes 10200 (7990) 30770Net Income 19800 (15510) 59730 + Deprec 40000 40000 40000

        TOTAL CF 59800 24490 99730

        NPV 15566 (111719) 159504

        IRR 151 -144 409

        9-81

        SHARK

        DEPRC

        MMCC

        Scenario

        Sensitivity

        Pro Forma

        Considers only a few possible outcomes

        Assumes perfectly correlated inputs All ldquobadrdquo values occur together and

        all ldquogoodrdquo values occur together More likely to have some ldquobadrdquo values

        and some ldquogoodrdquo values

        9-82

        Shows how changes in an input variable affect NPV or IRR

        Each variable is fixed except one Change one variable to see the effect

        on NPV or IRR Answers ldquowhat ifrdquo questions

        Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-83

        Unit Sales Sensitivity

        $(8226)

        $15566

        $39357

        -2000000

        -1000000

        000

        1000000

        2000000

        3000000

        4000000

        5000000

        5500 6000 6500

        Unit Sales

        NPV

        Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-84

        SHARK

        DEPRC

        MMCC

        Scenario

        Sensitivity

        Sensitivity (2)

        GRAPH

        GRAPH

        UNITS
        FC
        UNITS
        Fixed Cost
        Change in NPV
        NPV
        Sensitivity Analysis

        Pro Forma

        Chart3

        Y
        Unit Sales
        NPV
        Unit Sales Sensitivity
        -82259060352458
        155656169002312
        393571398357083

        SHARK

        DEPRC

        MMCC

        Scenario

        Sensitivity

        Sensitivity

        Y
        Unit Sales
        NPV
        Unit Sales Sensitivity

        Sensitivity (2)

        GRAPH

        GRAPH

        UNITS
        FC
        UNITS
        Fixed Cost
        Change in NPV
        NPV
        Sensitivity Analysis

        Pro Forma

        Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

        Base Fixed Cost Fixed CostUnits 6000 6000 6000 Priceunit 80$ 80 80Variable costunit 60$ 60 60Fixed costyear 50000$ 55000 45000

        Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

        Tax rate 34Required Return 12

        BASE FC FCUnits 6000 6000 6000 Priceunit 80$ 80$ 80$ Variable costunit 60$ 60$ 60$ Fixed cost 50000$ 55000$ 45000$

        Sales 480000$ 480000$ 480000$ Variable Cost 360000 360000 360000 Fixed Cost 50000 55000 45000 Depreciation 40000 40000 40000 EBIT 30000 25000 35000 Taxes 10200 8500 11900 Net Income 19800 16500 23100 + Deprec 40000 40000 40000

        TOTAL CF 59800 56500 63100

        NPV 15566$ 3670$ 27461$

        Fixed Cost Sensitivity

        $27461

        $15566

        $3670

        000

        500000

        1000000

        1500000

        2000000

        2500000

        3000000

        $45000 $50000 $55000Fixed Cost

        NPV

        9-85

        SHARK

        DEPRC

        MMCC

        Scenario

        Sensitivity_A

        Sensitivity_A

        Y
        Unit Sales
        NPV
        Unit Sales Sensitivity

        Sensitivity (2)

        Y
        Fixed Cost
        NPV
        Fixed Cost Sensitivity

        GRAPH

        Pro Forma

        Pro Forma

        UNITS
        FC
        UNITS
        Fixed Cost
        Change in NPV
        NPV
        Sensitivity Analysis

        Chart4

        Y
        Fixed Cost
        NPV
        Fixed Cost Sensitivity
        274613783679698
        155656169002312
        36698554324927

        SHARK

        DEPRC

        MMCC

        Scenario

        Sensitivity

        Sensitivity

        Y
        Unit Sales
        NPV
        Unit Sales Sensitivity

        Sensitivity (2)

        Y
        Fixed Cost
        NPV
        Fixed Cost Sensitivity

        GRAPH

        Pro Forma

        Pro Forma

        UNITS
        FC
        UNITS
        Fixed Cost
        Change in NPV
        NPV
        Sensitivity Analysis

        Strengths Identifies dangerous variables Gives some breakeven information

        Weaknesses Says nothing about the likelihood of

        change in a variable Ignores relationships among

        variables

        9-86

        Neither provides a decision rule No indication whether a projectrsquos

        expected return is sufficient to compensate for its risk

        Ignores diversification Measures only stand-alone risk which

        may not be the most relevant risk in capital budgeting

        Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-87

        Scenario analysis is best described as the determination of the

        A Most likely outcome for a projectB Reasonable range of project outcomesC Variable that has the greatest effect on a projectrsquos

        outcomeD Effect that a projectrsquos initial cost has on the projectrsquos net

        present valueE Change in a projectrsquos net present value given a stated

        change in projected sales

        9-88

        • FINC311 Principles of Finance
        • Corporate Finance Overview
        • Building Blocks for Decisions
        • Introduction Example
        • Introduction
        • Chapter Objectives
        • Slide Number 7
        • Cash Flow Introduction
        • Relevant Cash Flows
        • Relevant Cash Flows
        • Relevant Cash Flows - Watchouts
        • Opportunity Cost
        • Opportunity Cost Example
        • Opportunity Cost Example
        • Opportunity Cost Example
        • Side Effects
        • Side Effects Erosion
        • Erosion Example
        • Question ndash Side Effects
        • Net Working Capital
        • Changes in Net Working Capital
        • Changes in Net Working Capital
        • Tax Effects
        • After-Tax Salvage Value
        • After-Tax Salvage
        • Computing Depreciation
        • Question
        • Question
        • Question
        • Tax Effect on Salvage
        • Example
        • Salvage Value amp Tax Effects
        • Sunk Cost
        • Sunk Cost Example
        • Financing Costs
        • Relevant Cash Flows - Watchouts
        • Question
        • Question
        • Question
        • Question
        • Slide Number 41
        • Evaluating a Proposed Investment
        • Pro Forma Financial Statements
        • Shark Attractant Project
        • Shark Attractant Project- Assumptions
        • Pro Forma Income Statement
        • Where is the Interest Expense
        • Pro Forma Balance Sheet
        • Shark Attractant Project- Assumptions
        • Projected Capital Requirements
        • Evaluating a Proposed Investment
        • Cash Flow - Definitions
        • Pro Forma Income Statement
        • Operating Cash Flow
        • Projected Total Cash Flows
        • Shark Attractant Project ndash Cash Flows
        • Evaluating a Proposed Investment
        • Estimate Project Value
        • Making the Decision
        • Shark Attractant Project
        • Question
        • Question
        • Pro Forma Income Statement
        • Operating Cash Flow
        • Depreciation Tax Shield
        • The Tax Shield Approach to OCF
        • Pro Forma Income Statement
        • The Tax Shield Approach to OCF
        • Question
        • Slide Number 70
        • Intro to Evaluating NPV
        • NPV Decision Rule
        • Risk with NPV Analysis
        • NPV ndash Forecasting Risk
        • Tools to Evaluate NPV Analysis
        • Understanding Sources of Value
        • Scenario and Sensitivity Analysis
        • Slide Number 78
        • Scenario Analysis
        • Scenario Analysis Example
        • Scenario Analysis Example
        • Problems with Scenario Analysis
        • Sensitivity Analysis
        • Sensitivity Analysis Unit Sales
        • Sensitivity Analysis Fixed Costs
        • Sensitivity Analysis
        • Disadvantages of Sensitivity and Scenario Analysis
        • Question
          Pro Forma Income Statements
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC(20000)20000
          Net Capital Spending(90000)
          Cash Flow From Assets(110000)517805178071780
          Net Present Value$1064769
          IRR2576
          -30-20-100102030
          UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
          FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
          Sensitivity Analysis
          -30-20-100102030-30-20-100102030
          BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
          Units60004200480054006000660072007800Units60006000600060006000600060006000
          Priceunit$ 8080808080808080Priceunit$ 8080808080808080
          Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
          Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
          Initial investment$ 200000Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000Deprecyr$ 40000
          Tax rate34Tax rate34
          Required Return12Required Return12
          BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
          Units60004200480054006000660072007800Units60006000600060006000600060006000
          Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
          Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
          Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
          Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
          Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
          Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
          Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
          EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
          Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
          Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
          + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
          TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
          NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
          Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
          Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
          SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
          INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
          Sensitivity Ratio = ( Change in NPV) Change in Variable
          Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
          Negative = Inverse relationshipPositive = Direct relationship
          Negative = Inverse relationship
          $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
          5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          5980069700664006310059800565005320049900
          PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
          NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
          NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
          Sensitivity Analysis
          BaseUnitsUnitsFixed CostFixed Cost
          Units60005500650060006000
          Priceunit$ 8080808080
          Variable costunit$ 6060606060UNITS
          Fixed costyear$ 5000050000500005500045000X550060006500
          Y$ (8226)$ 15566$ 39357
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Tax rate34
          Required Return12
          BASEUNITSUNITSFCFC
          Units60005500650060006000
          Priceunit$ 80$ 80$ 80$ 80$ 80
          Variable costunit$ 60$ 60$ 60$ 60$ 60
          Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
          Sales$ 480000$ 440000$ 520000$ 480000$ 480000
          Variable Cost360000330000390000360000360000
          Fixed Cost5000050000500005500045000
          Depreciation4000040000400004000040000
          EBIT3000020000400002500035000
          Taxes10200680013600850011900
          Net Income1980013200264001650023100
          + Deprec4000040000400004000040000
          TOTAL CF5980053200664005650063100
          NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
          FC
          $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)X$ 45000$ 50000$ 55000
          5980053200664005650063100Y$ 27461$ 15566$ 3670
          5980053200664005650063100
          5980053200664005650063100
          5980053200664005650063100
          5980053200664005650063100
          PV$ 215566$ 191774$ 239357$ 203670$ 227461
          NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
          Scenario Analysis
          BaseLowerUpper
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 5800$ 6200
          Fixed costyear$ 50000$ 45000$ 55000
          BASEBESTWORST
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Project Life5years
          Tax rate34
          Required return12
          BASEWORSTBEST
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 6200$ 5800
          Fixed Cost$ 50000$ 55000$ 45000
          Sales$ 480000$ 412500$ 552500
          Variable Cost360000341000377000
          Fixed Cost500005500045000
          Depreciation400004000040000
          EBIT30000(23500)90500
          Taxes10200(7990)30770
          Net Income19800(15510)59730
          + Deprec400004000040000
          TOTAL CF598002449099730
          NPV15566(111719)159504
          IRR151-144409
          NOTENote in WORST CASE tax credit for negative earnings
          $ (200000)$ (200000)$ (200000)
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          PV$215566$88281$359504
          NPV15566(111719)159504
          Majestic Mulch and Compost Company (MMCC)
          YEAR012345678
          Background Data
          Unit Sales Estimates30005000600065006000500040003000
          Variable Cost unit$ 6000
          Fixed Costs per year$ 2500000
          Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
          Tax Rate340
          Required Return on Project150
          Yr 0 NWC$ 2000000
          NWC of sales15
          Equipment cost - installed$ 800000
          Salvage Value in year 820of equipment cost
          Depreciation Calculations
          Equipment Depreciable Base800000
          MACRS (Eqpt-7 yr)1429244917491249892893893446
          Recovery Allowance1143201959201399209992071360714407144035680
          Book Value685680489760349840249920178560107120356800
          After-Tax Salvage Value
          Salvage Value20160000
          Book Value (Year 8)0
          Capital GainLoss160000
          Taxes54400
          Net SV (SV-Taxes)105600
          Required Net Working Capital Investment
          20000540009000010800010725099000825006600049500
          YEAR012345678
          Initial Investment
          Equipment Cost(800000)
          Sales360000600000720000715000660000550000440000330000
          Variable Costs180000300000360000390000360000300000240000180000
          Fixed Costs2500025000250002500025000250002500025000
          Depreciation (Eqpt))1143201959201399209992071360714407144035680
          EBT406807908019508020008020364015356010356089320
          Taxes1383126887663276802769238522103521030369
          Net Operating Income26849521931287531320531344021013506835058951
          Add back Depreciation1143201959201399209992071360714407144035680
          CASH FLOW from Operations14116924811326867323197320576217279013979094631
          NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
          Salvage Value105600
          TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
          Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
          Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
          NPV$65483
          IRR1724
          Payback408
          Depreciation5-year Asset
          YearBeg BVDeprDeprecEnd BV
          1$ 12000002000$ 240000$ 960000
          2$ 9600003200$ 384000$ 576000
          3$ 5760001920$ 230400$ 345600
          4$ 3456001152$ 138240$ 207360
          5$ 2073601152$ 138240$ 69120
          6$ 69120576$ 69120$ - 0
          10000$ 1200000
          EOY 5$3000$221501$78499
          EOY 2$4000$459840($59840)
          Pro Forma Income Statement
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC-2000020000
          Net Capital Spending-90000
          Cash Flow From Assets-110000517805178071780
          Net Present Value$1064769
          IRR2576
          45000
          50000
          55000
          Pro Forma Income Statements
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC(20000)20000
          Net Capital Spending(90000)
          Cash Flow From Assets(110000)517805178071780
          Net Present Value$1064769
          IRR2576
          -30-20-100102030
          UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
          FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
          Sensitivity Analysis
          -30-20-100102030-30-20-100102030
          BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
          Units60004200480054006000660072007800Units60006000600060006000600060006000
          Priceunit$ 8080808080808080Priceunit$ 8080808080808080
          Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
          Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
          Initial investment$ 200000Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000Deprecyr$ 40000
          Tax rate34Tax rate34
          Required Return12Required Return12
          BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
          Units60004200480054006000660072007800Units60006000600060006000600060006000
          Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
          Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
          Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
          Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
          Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
          Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
          Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
          EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
          Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
          Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
          + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
          TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
          NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
          Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
          Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
          SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
          INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
          Sensitivity Ratio = ( Change in NPV) Change in Variable
          Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
          Negative = Inverse relationshipPositive = Direct relationship
          Negative = Inverse relationship
          $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
          5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          5980069700664006310059800565005320049900
          PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
          NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
          NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
          Sensitivity Analysis
          BaseUnitsUnitsFixed CostFixed Cost
          Units60005500650060006000
          Priceunit$ 8080808080
          Variable costunit$ 6060606060UNITS
          Fixed costyear$ 5000050000500005500045000X550060006500
          Y$ (8226)$ 15566$ 39357
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Tax rate34
          Required Return12
          BASEUNITSUNITSFCFC
          Units60005500650060006000
          Priceunit$ 80$ 80$ 80$ 80$ 80
          Variable costunit$ 60$ 60$ 60$ 60$ 60
          Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
          Sales$ 480000$ 440000$ 520000$ 480000$ 480000
          Variable Cost360000330000390000360000360000
          Fixed Cost5000050000500005500045000
          Depreciation4000040000400004000040000
          EBIT3000020000400002500035000
          Taxes10200680013600850011900
          Net Income1980013200264001650023100
          + Deprec4000040000400004000040000
          TOTAL CF5980053200664005650063100
          NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
          FC
          $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)X$ 45000$ 50000$ 55000
          5980053200664005650063100Y$ 27461$ 15566$ 3670
          5980053200664005650063100
          5980053200664005650063100
          5980053200664005650063100
          5980053200664005650063100
          PV$ 215566$ 191774$ 239357$ 203670$ 227461
          NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
          Scenario Analysis
          BaseLowerUpper
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 5800$ 6200
          Fixed costyear$ 50000$ 45000$ 55000
          BASEBESTWORST
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Project Life5years
          Tax rate34
          Required return12
          BASEWORSTBEST
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 6200$ 5800
          Fixed Cost$ 50000$ 55000$ 45000
          Sales$ 480000$ 412500$ 552500
          Variable Cost360000341000377000
          Fixed Cost500005500045000
          Depreciation400004000040000
          EBIT30000(23500)90500
          Taxes10200(7990)30770
          Net Income19800(15510)59730
          + Deprec400004000040000
          TOTAL CF598002449099730
          NPV15566(111719)159504
          IRR151-144409
          NOTENote in WORST CASE tax credit for negative earnings
          $ (200000)$ (200000)$ (200000)
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          PV$215566$88281$359504
          NPV15566(111719)159504
          Majestic Mulch and Compost Company (MMCC)
          YEAR012345678
          Background Data
          Unit Sales Estimates30005000600065006000500040003000
          Variable Cost unit$ 6000
          Fixed Costs per year$ 2500000
          Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
          Tax Rate340
          Required Return on Project150
          Yr 0 NWC$ 2000000
          NWC of sales15
          Equipment cost - installed$ 800000
          Salvage Value in year 820of equipment cost
          Depreciation Calculations
          Equipment Depreciable Base800000
          MACRS (Eqpt-7 yr)1429244917491249892893893446
          Recovery Allowance1143201959201399209992071360714407144035680
          Book Value685680489760349840249920178560107120356800
          After-Tax Salvage Value
          Salvage Value20160000
          Book Value (Year 8)0
          Capital GainLoss160000
          Taxes54400
          Net SV (SV-Taxes)105600
          Required Net Working Capital Investment
          20000540009000010800010725099000825006600049500
          YEAR012345678
          Initial Investment
          Equipment Cost(800000)
          Sales360000600000720000715000660000550000440000330000
          Variable Costs180000300000360000390000360000300000240000180000
          Fixed Costs2500025000250002500025000250002500025000
          Depreciation (Eqpt))1143201959201399209992071360714407144035680
          EBT406807908019508020008020364015356010356089320
          Taxes1383126887663276802769238522103521030369
          Net Operating Income26849521931287531320531344021013506835058951
          Add back Depreciation1143201959201399209992071360714407144035680
          CASH FLOW from Operations14116924811326867323197320576217279013979094631
          NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
          Salvage Value105600
          TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
          Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
          Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
          NPV$65483
          IRR1724
          Payback408
          Depreciation5-year Asset
          YearBeg BVDeprDeprecEnd BV
          1$ 12000002000$ 240000$ 960000
          2$ 9600003200$ 384000$ 576000
          3$ 5760001920$ 230400$ 345600
          4$ 3456001152$ 138240$ 207360
          5$ 2073601152$ 138240$ 69120
          6$ 69120576$ 69120$ - 0
          10000$ 1200000
          EOY 5$3000$221501$78499
          EOY 2$4000$459840($59840)
          Pro Forma Income Statement
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC-2000020000
          Net Capital Spending-90000
          Cash Flow From Assets-110000517805178071780
          Net Present Value$1064769
          IRR2576
          Pro Forma Income Statements
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC(20000)20000
          Net Capital Spending(90000)
          Cash Flow From Assets(110000)517805178071780
          Net Present Value$1064769
          IRR2576
          -30-20-100102030
          UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
          FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
          Sensitivity Analysis
          -30-20-100102030-30-20-100102030
          BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
          Units60004200480054006000660072007800Units60006000600060006000600060006000
          Priceunit$ 8080808080808080Priceunit$ 8080808080808080
          Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
          Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
          Initial investment$ 200000Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000Deprecyr$ 40000
          Tax rate34Tax rate34
          Required Return12Required Return12
          BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
          Units60004200480054006000660072007800Units60006000600060006000600060006000
          Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
          Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
          Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
          Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
          Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
          Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
          Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
          EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
          Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
          Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
          + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
          TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
          NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
          Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
          Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
          SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
          INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
          Sensitivity Ratio = ( Change in NPV) Change in Variable
          Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
          Negative = Inverse relationshipPositive = Direct relationship
          Negative = Inverse relationship
          $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
          5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          5980069700664006310059800565005320049900
          PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
          NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
          NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
          Sensitivity Analysis
          BaseUnitsUnitsFixed CostFixed Cost
          Units60005500650060006000
          Priceunit$ 8080808080
          Variable costunit$ 6060606060
          Fixed costyear$ 5000050000500005500045000X550060006500
          Y$ (8226)$ 15566$ 39357
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Tax rate34
          Required Return12
          BASEUNITSUNITSFCFC
          Units60005500650060006000
          Priceunit$ 80$ 80$ 80$ 80$ 80
          Variable costunit$ 60$ 60$ 60$ 60$ 60
          Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
          Sales$ 480000$ 440000$ 520000$ 480000$ 480000
          Variable Cost360000330000390000360000360000
          Fixed Cost5000050000500005500045000
          Depreciation4000040000400004000040000
          EBIT3000020000400002500035000
          Taxes10200680013600850011900
          Net Income1980013200264001650023100
          + Deprec4000040000400004000040000
          TOTAL CF5980053200664005650063100
          NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
          $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
          5980053200664005650063100
          5980053200664005650063100
          5980053200664005650063100
          5980053200664005650063100
          5980053200664005650063100
          PV$ 215566$ 191774$ 239357$ 203670$ 227461
          NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
          Scenario Analysis
          BaseLowerUpper
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 5800$ 6200
          Fixed costyear$ 50000$ 45000$ 55000
          BASEBESTWORST
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Project Life5years
          Tax rate34
          Required return12
          BASEWORSTBEST
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 6200$ 5800
          Fixed Cost$ 50000$ 55000$ 45000
          Sales$ 480000$ 412500$ 552500
          Variable Cost360000341000377000
          Fixed Cost500005500045000
          Depreciation400004000040000
          EBIT30000(23500)90500
          Taxes10200(7990)30770
          Net Income19800(15510)59730
          + Deprec400004000040000
          TOTAL CF598002449099730
          NPV15566(111719)159504
          IRR151-144409
          NOTENote in WORST CASE tax credit for negative earnings
          $ (200000)$ (200000)$ (200000)
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          PV$215566$88281$359504
          NPV15566(111719)159504
          Majestic Mulch and Compost Company (MMCC)
          YEAR012345678
          Background Data
          Unit Sales Estimates30005000600065006000500040003000
          Variable Cost unit$ 6000
          Fixed Costs per year$ 2500000
          Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
          Tax Rate340
          Required Return on Project150
          Yr 0 NWC$ 2000000
          NWC of sales15
          Equipment cost - installed$ 800000
          Salvage Value in year 820of equipment cost
          Depreciation Calculations
          Equipment Depreciable Base800000
          MACRS (Eqpt-7 yr)1429244917491249892893893446
          Recovery Allowance1143201959201399209992071360714407144035680
          Book Value685680489760349840249920178560107120356800
          After-Tax Salvage Value
          Salvage Value20160000
          Book Value (Year 8)0
          Capital GainLoss160000
          Taxes54400
          Net SV (SV-Taxes)105600
          Required Net Working Capital Investment
          20000540009000010800010725099000825006600049500
          YEAR012345678
          Initial Investment
          Equipment Cost(800000)
          Sales360000600000720000715000660000550000440000330000
          Variable Costs180000300000360000390000360000300000240000180000
          Fixed Costs2500025000250002500025000250002500025000
          Depreciation (Eqpt))1143201959201399209992071360714407144035680
          EBT406807908019508020008020364015356010356089320
          Taxes1383126887663276802769238522103521030369
          Net Operating Income26849521931287531320531344021013506835058951
          Add back Depreciation1143201959201399209992071360714407144035680
          CASH FLOW from Operations14116924811326867323197320576217279013979094631
          NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
          Salvage Value105600
          TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
          Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
          Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
          NPV$65483
          IRR1724
          Payback408
          Depreciation5-year Asset
          YearBeg BVDeprDeprecEnd BV
          1$ 12000002000$ 240000$ 960000
          2$ 9600003200$ 384000$ 576000
          3$ 5760001920$ 230400$ 345600
          4$ 3456001152$ 138240$ 207360
          5$ 2073601152$ 138240$ 69120
          6$ 69120576$ 69120$ - 0
          10000$ 1200000
          EOY 5$3000$221501$78499
          EOY 2$4000$459840($59840)
          Pro Forma Income Statement
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC-2000020000
          Net Capital Spending-90000
          Cash Flow From Assets-110000517805178071780
          Net Present Value$1064769
          IRR2576
          5500
          6000
          6500
          Pro Forma Income Statements
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC(20000)20000
          Net Capital Spending(90000)
          Cash Flow From Assets(110000)517805178071780
          Net Present Value$1064769
          IRR2576
          -30-20-100102030
          UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
          FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
          Sensitivity Analysis
          -30-20-100102030-30-20-100102030
          BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
          Units60004200480054006000660072007800Units60006000600060006000600060006000
          Priceunit$ 8080808080808080Priceunit$ 8080808080808080
          Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
          Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
          Initial investment$ 200000Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000Deprecyr$ 40000
          Tax rate34Tax rate34
          Required Return12Required Return12
          BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
          Units60004200480054006000660072007800Units60006000600060006000600060006000
          Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
          Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
          Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
          Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
          Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
          Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
          Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
          EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
          Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
          Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
          + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
          TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
          NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
          Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
          Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
          SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
          INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
          Sensitivity Ratio = ( Change in NPV) Change in Variable
          Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
          Negative = Inverse relationshipPositive = Direct relationship
          Negative = Inverse relationship
          $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
          5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          59800360404396051880598006772075640835605980069700664006310059800565005320049900
          5980069700664006310059800565005320049900
          PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
          NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
          NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
          Sensitivity Analysis
          BaseUnitsUnitsFixed CostFixed Cost
          Units60005500650060006000
          Priceunit$ 8080808080
          Variable costunit$ 6060606060
          Fixed costyear$ 5000050000500005500045000
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Tax rate34
          Required Return12
          BASEUNITSUNITSFCFC
          Units60005500650060006000
          Priceunit$ 80$ 80$ 80$ 80$ 80
          Variable costunit$ 60$ 60$ 60$ 60$ 60
          Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
          Sales$ 480000$ 440000$ 520000$ 480000$ 480000
          Variable Cost360000330000390000360000360000
          Fixed Cost5000050000500005500045000
          Depreciation4000040000400004000040000
          EBIT3000020000400002500035000
          Taxes10200680013600850011900
          Net Income1980013200264001650023100
          + Deprec4000040000400004000040000
          TOTAL CF5980053200664005650063100
          NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
          $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
          5980053200664005650063100
          5980053200664005650063100
          5980053200664005650063100
          5980053200664005650063100
          5980053200664005650063100
          PV$ 215566$ 191774$ 239357$ 203670$ 227461
          NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
          Scenario Analysis
          BaseLowerUpper
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 5800$ 6200
          Fixed costyear$ 50000$ 45000$ 55000
          BASEBESTWORST
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Project Life5years
          Tax rate34
          Required return12
          BASEWORSTBEST
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 6200$ 5800
          Fixed Cost$ 50000$ 55000$ 45000
          Sales$ 480000$ 412500$ 552500
          Variable Cost360000341000377000
          Fixed Cost500005500045000
          Depreciation400004000040000
          EBIT30000(23500)90500
          Taxes10200(7990)30770
          Net Income19800(15510)59730
          + Deprec400004000040000
          TOTAL CF598002449099730
          NPV15566(111719)159504
          IRR151-144409
          NOTENote in WORST CASE tax credit for negative earnings
          $ (200000)$ (200000)$ (200000)
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          PV$215566$88281$359504
          NPV15566(111719)159504
          Majestic Mulch and Compost Company (MMCC)
          YEAR012345678
          Background Data
          Unit Sales Estimates30005000600065006000500040003000
          Variable Cost unit$ 6000
          Fixed Costs per year$ 2500000
          Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
          Tax Rate340
          Required Return on Project150
          Yr 0 NWC$ 2000000
          NWC of sales15
          Equipment cost - installed$ 800000
          Salvage Value in year 820of equipment cost
          Depreciation Calculations
          Equipment Depreciable Base800000
          MACRS (Eqpt-7 yr)1429244917491249892893893446
          Recovery Allowance1143201959201399209992071360714407144035680
          Book Value685680489760349840249920178560107120356800
          After-Tax Salvage Value
          Salvage Value20160000
          Book Value (Year 8)0
          Capital GainLoss160000
          Taxes54400
          Net SV (SV-Taxes)105600
          Required Net Working Capital Investment
          20000540009000010800010725099000825006600049500
          YEAR012345678
          Initial Investment
          Equipment Cost(800000)
          Sales360000600000720000715000660000550000440000330000
          Variable Costs180000300000360000390000360000300000240000180000
          Fixed Costs2500025000250002500025000250002500025000
          Depreciation (Eqpt))1143201959201399209992071360714407144035680
          EBT406807908019508020008020364015356010356089320
          Taxes1383126887663276802769238522103521030369
          Net Operating Income26849521931287531320531344021013506835058951
          Add back Depreciation1143201959201399209992071360714407144035680
          CASH FLOW from Operations14116924811326867323197320576217279013979094631
          NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
          Salvage Value105600
          TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
          Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
          Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
          NPV$65483
          IRR1724
          Payback408
          Depreciation5-year Asset
          YearBeg BVDeprDeprecEnd BV
          1$ 12000002000$ 240000$ 960000
          2$ 9600003200$ 384000$ 576000
          3$ 5760001920$ 230400$ 345600
          4$ 3456001152$ 138240$ 207360
          5$ 2073601152$ 138240$ 69120
          6$ 69120576$ 69120$ - 0
          10000$ 1200000
          EOY 5$3000$221501$78499
          EOY 2$4000$459840($59840)
          Pro Forma Income Statement
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC-2000020000
          Net Capital Spending-90000
          Cash Flow From Assets-110000517805178071780
          Net Present Value$1064769
          IRR2576
          Pro Forma Income Statements
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC(20000)20000
          Net Capital Spending(90000)
          Cash Flow From Assets(110000)517805178071780
          Net Present Value$1064769
          IRR2576
          Sensitivity Analysis
          BaseUnitsFixed Cost
          Units600055006000
          Priceunit$ 808080
          Variable costunit$ 606060
          Fixed costyear$ 500005000055000
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Tax rate34
          Required Return12
          BASEUNITSFC
          Units600055006000
          Priceunit$ 80$ 80$ 80
          Variable costunit$ 60$ 60$ 60
          Fixed cost$ 50000$ 50000$ 55000
          Sales$ 480000$ 440000$ 480000
          Variable Cost360000330000360000
          Fixed Cost500005000055000
          Depreciation400004000040000
          EBIT300002000025000
          Taxes1020068008500
          Net Income198001320016500
          + Deprec400004000040000
          TOTAL CF598005320056500
          NPV$ 15566$ (8226)$ 3670
          Change in NPV-1528-764
          Change in Variable-83100
          SENSITIVITY RATIO1834-764
          DIRECTINVERSE
          Sensitivity Ratio = ( Change in NPV) Change in Variable
          Positive = Direct relationship
          Negative = Inverse relationship
          $ (200000)$ (200000)$ (200000)
          598005320056500
          598005320056500
          598005320056500
          598005320056500
          598005320056500
          PV$ 215566$ 191774$ 203670
          NPV$ 15566$ (8226)$ 3670
          Scenario Analysis
          BaseLowerUpper
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 5800$ 6200
          Fixed costyear$ 50000$ 45000$ 55000
          BASEBESTWORST
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Project Life5years
          Tax rate34
          Required return12
          BASEWORSTBEST
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 6200$ 5800
          Fixed Cost$ 50000$ 55000$ 45000
          Sales$ 480000$ 412500$ 552500
          Variable Cost360000341000377000
          Fixed Cost500005500045000
          Depreciation400004000040000
          EBIT30000(23500)90500
          Taxes10200(7990)30770
          Net Income19800(15510)59730
          + Deprec400004000040000
          TOTAL CF598002449099730
          NPV15566(111719)159504
          IRR151-144409
          NOTENote in WORST CASE tax credit for negative earnings
          $ (200000)$ (200000)$ (200000)
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          PV$215566$88281$359504
          NPV15566(111719)159504
          Majestic Mulch and Compost Company (MMCC)
          YEAR012345678
          Background Data
          Unit Sales Estimates30005000600065006000500040003000
          Variable Cost unit$ 6000
          Fixed Costs per year$ 2500000
          Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
          Tax Rate340
          Required Return on Project150
          Yr 0 NWC$ 2000000
          NWC of sales15
          Equipment cost - installed$ 800000
          Salvage Value in year 820of equipment cost
          Depreciation Calculations
          Equipment Depreciable Base800000
          MACRS (Eqpt-7 yr)1429244917491249892893893446
          Recovery Allowance1143201959201399209992071360714407144035680
          Book Value685680489760349840249920178560107120356800
          After-Tax Salvage Value
          Salvage Value20160000
          Book Value (Year 8)0
          Capital GainLoss160000
          Taxes54400
          Net SV (SV-Taxes)105600
          Required Net Working Capital Investment
          20000540009000010800010725099000825006600049500
          YEAR012345678
          Initial Investment
          Equipment Cost(800000)
          Sales360000600000720000715000660000550000440000330000
          Variable Costs180000300000360000390000360000300000240000180000
          Fixed Costs2500025000250002500025000250002500025000
          Depreciation (Eqpt))1143201959201399209992071360714407144035680
          EBT406807908019508020008020364015356010356089320
          Taxes1383126887663276802769238522103521030369
          Net Operating Income26849521931287531320531344021013506835058951
          Add back Depreciation1143201959201399209992071360714407144035680
          CASH FLOW from Operations14116924811326867323197320576217279013979094631
          NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
          Salvage Value105600
          TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
          Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
          Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
          NPV$65483
          IRR1724
          Payback408
          Depreciation5-year Asset
          YearBeg BVDeprDeprecEnd BV
          1$ 12000002000$ 240000$ 960000
          2$ 9600003200$ 384000$ 576000
          3$ 5760001920$ 230400$ 345600
          4$ 3456001152$ 138240$ 207360
          5$ 2073601152$ 138240$ 69120
          6$ 69120576$ 69120$ - 0
          10000$ 1200000
          EOY 5$3000$221501$78499
          EOY 2$4000$459840($59840)
          Pro Forma Income Statement
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC-2000020000
          Net Capital Spending-90000
          Cash Flow From Assets-110000517805178071780
          Net Present Value$1064769
          IRR2576
          Pro Forma Income Statements
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC(20000)20000
          Net Capital Spending(90000)
          Cash Flow From Assets(110000)517805178071780
          Net Present Value$1064769
          IRR2576
          Sensitivity Analysis
          BaseUnitsFixed Cost
          Units600055006000
          Priceunit$ 808080
          Variable costunit$ 606060
          Fixed costyear$ 500005000055000
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Tax rate34
          Required Return12
          BASEUNITSFC
          Units600055006000
          Priceunit$ 80$ 80$ 80
          Variable costunit$ 60$ 60$ 60
          Fixed cost$ 50000$ 50000$ 55000
          Sales$ 480000$ 440000$ 480000
          Variable Cost360000330000360000
          Fixed Cost500005000055000
          Depreciation400004000040000
          EBIT300002000025000
          Taxes1020068008500
          Net Income198001320016500
          + Deprec400004000040000
          TOTAL CF598005320056500
          NPV$ 15566$ (8226)$ 3670
          Change in NPV-1528-764
          Change in Variable-83100
          SENSITIVITY RATIO1834-764
          DIRECTINVERSE
          Sensitivity Ratio = ( Change in NPV) Change in Variable
          Positive = Direct relationship
          Negative = Inverse relationship
          $ (200000)$ (200000)$ (200000)
          598005320056500
          598005320056500
          598005320056500
          598005320056500
          598005320056500
          PV$ 215566$ 191774$ 203670
          NPV$ 15566$ (8226)$ 3670
          Scenario Analysis
          BaseLowerUpper
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 5800$ 6200
          Fixed costyear$ 50000$ 45000$ 55000
          BASEBESTWORST
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Project Life5years
          Tax rate34
          Required return12
          BASEWORSTBEST
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 6200$ 5800
          Fixed Cost$ 50000$ 55000$ 45000
          Sales$ 480000$ 412500$ 552500
          Variable Cost360000341000377000
          Fixed Cost500005500045000
          Depreciation400004000040000
          EBIT30000(23500)90500
          Taxes10200(7990)30770
          Net Income19800(15510)59730
          + Deprec400004000040000
          TOTAL CF598002449099730
          NPV15566(111719)159504
          IRR151-144409
          NOTENote in WORST CASE tax credit for negative earnings
          $ (200000)$ (200000)$ (200000)
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          PV$215566$88281$359504
          NPV15566(111719)159504
          Majestic Mulch and Compost Company (MMCC)
          YEAR012345678
          Background Data
          Unit Sales Estimates30005000600065006000500040003000
          Variable Cost unit$ 6000
          Fixed Costs per year$ 2500000
          Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
          Tax Rate340
          Required Return on Project150
          Yr 0 NWC$ 2000000
          NWC of sales15
          Equipment cost - installed$ 800000
          Salvage Value in year 820of equipment cost
          Depreciation Calculations
          Equipment Depreciable Base800000
          MACRS (Eqpt-7 yr)1429244917491249892893893446
          Recovery Allowance1143201959201399209992071360714407144035680
          Book Value685680489760349840249920178560107120356800
          After-Tax Salvage Value
          Salvage Value20160000
          Book Value (Year 8)0
          Capital GainLoss160000
          Taxes54400
          Net SV (SV-Taxes)105600
          Required Net Working Capital Investment
          20000540009000010800010725099000825006600049500
          YEAR012345678
          Initial Investment
          Equipment Cost(800000)
          Sales360000600000720000715000660000550000440000330000
          Variable Costs180000300000360000390000360000300000240000180000
          Fixed Costs2500025000250002500025000250002500025000
          Depreciation (Eqpt))1143201959201399209992071360714407144035680
          EBT406807908019508020008020364015356010356089320
          Taxes1383126887663276802769238522103521030369
          Net Operating Income26849521931287531320531344021013506835058951
          Add back Depreciation1143201959201399209992071360714407144035680
          CASH FLOW from Operations14116924811326867323197320576217279013979094631
          NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
          Salvage Value105600
          TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
          Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
          Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
          NPV$65483
          IRR1724
          Payback408
          Depreciation5-year Asset
          YearBeg BVDeprDeprecEnd BV
          1$ 12000002000$ 240000$ 960000
          2$ 9600003200$ 384000$ 576000
          3$ 5760001920$ 230400$ 345600
          4$ 3456001152$ 138240$ 207360
          5$ 2073601152$ 138240$ 69120
          6$ 69120576$ 69120$ - 0
          10000$ 1200000
          EOY 5$3000$221501$78499
          EOY 2$4000$459840($59840)
          Pro Forma Income Statement
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC-2000020000
          Net Capital Spending-90000
          Cash Flow From Assets-110000517805178071780
          Net Present Value$1064769
          IRR2576
          Pro Forma Income Statements
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC(20000)20000
          Net Capital Spending(90000)
          Cash Flow From Assets(110000)517805178071780
          Net Present Value$1064769
          IRR2576
          Sensitivity Analysis
          BaseUnitsFixed Cost
          Units600055006000
          Priceunit$ 808080
          Variable costunit$ 606060
          Fixed costyear$ 500005000055000
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Tax rate34
          Required Return12
          BASEUNITSFC
          Units600055006000
          Priceunit$ 80$ 80$ 80
          Variable costunit$ 60$ 60$ 60
          Fixed cost$ 50000$ 50000$ 55000
          Sales$ 480000$ 440000$ 480000
          Variable Cost360000330000360000
          Fixed Cost500005000055000
          Depreciation400004000040000
          EBIT300002000025000
          Taxes1020068008500
          Net Income198001320016500
          + Deprec400004000040000
          TOTAL CF598005320056500
          NPV$ 15566$ (8226)$ 3670
          Change in NPV-1528-764
          Change in Variable-83100
          SENSITIVITY RATIO1834-764
          DIRECTINVERSE
          Sensitivity Ratio = ( Change in NPV) Change in Variable
          Positive = Direct relationship
          Negative = Inverse relationship
          $ (200000)$ (200000)$ (200000)
          598005320056500
          598005320056500
          598005320056500
          598005320056500
          598005320056500
          PV$ 215566$ 191774$ 203670
          NPV$ 15566$ (8226)$ 3670
          Scenario Analysis
          BaseLowerUpper
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 5800$ 6200
          Fixed costyear$ 50000$ 45000$ 55000
          BASEBESTWORST
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Project Life5years
          Tax rate34
          Required return12
          BASEWORSTBEST
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 6200$ 5800
          Fixed Cost$ 50000$ 55000$ 45000
          Sales$ 480000$ 412500$ 552500
          Variable Cost360000341000377000
          Fixed Cost500005500045000
          Depreciation400004000040000
          EBIT30000(23500)90500
          Taxes10200(7990)30770
          Net Income19800(15510)59730
          + Deprec400004000040000
          TOTAL CF598002449099730
          NPV15566(111719)159504
          IRR151-144409
          NOTENote in WORST CASE tax credit for negative earnings
          $ (200000)$ (200000)$ (200000)
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          PV$215566$88281$359504
          NPV15566(111719)159504
          Majestic Mulch and Compost Company (MMCC)
          YEAR012345678
          Background Data
          Unit Sales Estimates30005000600065006000500040003000
          Variable Cost unit$ 6000
          Fixed Costs per year$ 2500000
          Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
          Tax Rate340
          Required Return on Project150
          Yr 0 NWC$ 2000000
          NWC of sales15
          Equipment cost - installed$ 800000
          Salvage Value in year 820of equipment cost
          Depreciation Calculations
          Equipment Depreciable Base800000
          MACRS (Eqpt-7 yr)1429244917491249893893893445
          Recovery Allowance1143201959201399209992071440714407144035600
          Book Value685680489760349840249920178480107040356000
          After-Tax Salvage Value
          Salvage Value20160000
          Book Value (Year 8)0
          Capital GainLoss160000
          Taxes54400
          Net SV (SV-Taxes)105600
          Required Net Working Capital Investment
          20000540009000010800010725099000825006600049500
          YEAR012345678
          Initial Investment
          Equipment Cost(800000)
          Sales360000600000720000715000660000550000440000330000
          Variable Costs180000300000360000390000360000300000240000180000
          Fixed Costs2500025000250002500025000250002500025000
          Depreciation (Eqpt))1143201959201399209992071440714407144035600
          EBT406807908019508020008020356015356010356089400
          Taxes1383126887663276802769210522103521030396
          Net Operating Income26849521931287531320531343501013506835059004
          Add back Depreciation1143201959201399209992071440714407144035600
          CASH FLOW from Operations14116924811326867323197320579017279013979094604
          NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
          Salvage Value105600
          TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
          Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
          NPV$ 65488
          IRR1724
          Depreciation5-year Asset
          YearBeg BVDeprDeprecEnd BV
          1$ 12000002000$ 240000$ 960000
          2$ 9600003200$ 384000$ 576000
          3$ 5760001920$ 230400$ 345600
          4$ 3456001152$ 138240$ 207360
          5$ 2073601152$ 138240$ 69120
          6$ 69120576$ 69120$ - 0
          10000$ 1200000
          EOY 5$3000$221501$78499
          EOY 2$4000$459840($59840)
          Pro Forma Income Statement
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC-2000020000
          Net Capital Spending-90000
          Cash Flow From Assets-110000517805178071780
          Net Present Value$1064769
          IRR2576
          Pro Forma Income Statements
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC(20000)20000
          Net Capital Spending(90000)
          Cash Flow From Assets(110000)517805178071780
          Net Present Value$1064769
          IRR2576
          Sensitivity Analysis
          BaseUnitsFixed Cost
          Units600055006000
          Priceunit$ 808080
          Variable costunit$ 606060
          Fixed costyear$ 500005000055000
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Tax rate34
          Required Return12
          BASEUNITSFC
          Units600055006000
          Priceunit$ 80$ 80$ 80
          Variable costunit$ 60$ 60$ 60
          Fixed cost$ 50000$ 50000$ 55000
          Sales$ 480000$ 440000$ 480000
          Variable Cost360000330000360000
          Fixed Cost500005000055000
          Depreciation400004000040000
          EBIT300002000025000
          Taxes1020068008500
          Net Income198001320016500
          + Deprec400004000040000
          TOTAL CF598005320056500
          NPV$ 15566$ (8226)$ 3670
          Change in NPV-1528-764
          Change in Variable-83100
          SENSITIVITY RATIO1834-764
          DIRECTINVERSE
          Sensitivity Ratio = ( Change in NPV) Change in Variable
          Positive = Direct relationship
          Negative = Inverse relationship
          $ (200000)$ (200000)$ (200000)
          598005320056500
          598005320056500
          598005320056500
          598005320056500
          598005320056500
          PV$ 215566$ 191774$ 203670
          NPV$ 15566$ (8226)$ 3670
          Scenario Analysis
          BaseLowerUpper
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 5800$ 6200
          Fixed costyear$ 50000$ 45000$ 55000
          BASEBESTWORST
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Project Life5years
          Tax rate34
          Required return12
          BASEWORSTBEST
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 6200$ 5800
          Fixed Cost$ 50000$ 55000$ 45000
          Sales$ 480000$ 412500$ 552500
          Variable Cost360000341000377000
          Fixed Cost500005500045000
          Depreciation400004000040000
          EBIT30000(23500)90500
          Taxes10200(7990)30770
          Net Income19800(15510)59730
          + Deprec400004000040000
          TOTAL CF598002449099730
          NPV15566(111719)159504
          IRR151-144409
          NOTENote in WORST CASE tax credit for negative earnings
          $ (200000)$ (200000)$ (200000)
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          PV$215566$88281$359504
          NPV15566(111719)159504
          Majestic Mulch and Compost Company (MMCC)
          YEAR012345678
          Background Data
          Unit Sales Estimates30005000600065006000500040003000
          Variable Cost unit$ 6000
          Fixed Costs per year$ 2500000
          Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
          Tax Rate340
          Required Return on Project150
          Yr 0 NWC$ 2000000
          NWC of sales15
          Equipment cost - installed$ 800000
          Salvage Value in year 820of equipment cost
          Depreciation Calculations
          Equipment Depreciable Base800000
          MACRS (Eqpt-7 yr)1429244917491249893893893445
          Recovery Allowance1143201959201399209992071440714407144035600
          Book Value685680489760349840249920178480107040356000
          After-Tax Salvage Value
          Salvage Value20160000
          Book Value (Year 8)0
          Capital GainLoss160000
          Taxes54400
          Net SV (SV-Taxes)105600
          Required Net Working Capital Investment
          20000540009000010800010725099000825006600049500
          YEAR012345678
          Initial Investment
          Equipment Cost(800000)
          Sales360000600000720000715000660000550000440000330000
          Variable Costs180000300000360000390000360000300000240000180000
          Fixed Costs2500025000250002500025000250002500025000
          Depreciation (Eqpt))1143201959201399209992071440714407144035600
          EBT406807908019508020008020356015356010356089400
          Taxes1383126887663276802769210522103521030396
          Net Operating Income26849521931287531320531343501013506835059004
          Add back Depreciation1143201959201399209992071440714407144035600
          CASH FLOW from Operations14116924811326867323197320579017279013979094604
          NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
          Salvage Value105600
          TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
          Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
          NPV$ 65488
          IRR1724
          Depreciation5-year Asset
          YearBeg BVDeprDeprecEnd BV
          1$ 12000002000$ 240000$ 960000
          2$ 9600003200$ 384000$ 576000
          3$ 5760001920$ 230400$ 345600
          4$ 3456001152$ 138240$ 207360
          5$ 2073601152$ 138240$ 69120
          6$ 69120576$ 69120$ - 0
          10000$ 1200000
          EOY 5$3000$221501$78499
          EOY 2$4000$459840($59840)
          Pro Forma Income Statement
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC-2000020000
          Net Capital Spending-90000
          Cash Flow From Assets-110000517805178071780
          Net Present Value$1064769
          IRR2576
          Pro Forma Income Statements
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC(20000)20000
          Net Capital Spending(90000)
          Cash Flow From Assets(110000)517805178071780
          Net Present Value$1064769
          IRR2576
          Sensitivity Analysis
          BaseUnitsFixed Cost
          Units600055006000
          Priceunit$ 808080
          Variable costunit$ 606060
          Fixed costyear$ 500005000055000
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Tax rate34
          Required Return12
          BASEUNITSFC
          Units600055006000
          Priceunit$ 80$ 80$ 80
          Variable costunit$ 60$ 60$ 60
          Fixed cost$ 50000$ 50000$ 55000
          Sales$ 480000$ 440000$ 480000
          Variable Cost360000330000360000
          Fixed Cost500005000055000
          Depreciation400004000040000
          EBIT300002000025000
          Taxes1020068008500
          Net Income198001320016500
          + Deprec400004000040000
          TOTAL CF598005320056500
          NPV$ 15566$ (8226)$ 3670
          Change in NPV-1528-764
          Change in Variable-83100
          SENSITIVITY RATIO1834-764
          DIRECTINVERSE
          Sensitivity Ratio = ( Change in NPV) Change in Variable
          Positive = Direct relationship
          Negative = Inverse relationship
          $ (200000)$ (200000)$ (200000)
          598005320056500
          598005320056500
          598005320056500
          598005320056500
          598005320056500
          PV$ 215566$ 191774$ 203670
          NPV$ 15566$ (8226)$ 3670
          Scenario Analysis
          BaseLowerUpper
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 5800$ 6200
          Fixed costyear$ 50000$ 45000$ 55000
          BASEBESTWORST
          Initial investment$ 200000
          Depreciated to salvage value of 0 over 5 years
          Deprecyr$ 40000
          Project Life5years
          Tax rate34
          Required return12
          BASEWORSTBEST
          Units600055006500
          Priceunit$ 8000$ 7500$ 8500
          Variable costunit$ 6000$ 6200$ 5800
          Fixed Cost$ 50000$ 55000$ 45000
          Sales$ 480000$ 412500$ 552500
          Variable Cost360000341000377000
          Fixed Cost500005500045000
          Depreciation400004000040000
          EBIT30000(23500)90500
          Taxes10200(7990)30770
          Net Income19800(15510)59730
          + Deprec400004000040000
          TOTAL CF598002449099730
          NPV15566(111719)159504
          IRR151-144409
          NOTENote in WORST CASE tax credit for negative earnings
          $ (200000)$ (200000)$ (200000)
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          598002449099730
          PV$215566$88281$359504
          NPV15566(111719)159504
          Majestic Mulch and Compost Company (MMCC)
          YEAR012345678
          Background Data
          Unit Sales Estimates30005000600065006000500040003000
          Variable Cost unit$ 6000
          Fixed Costs per year$ 2500000
          Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
          Tax Rate340
          Required Return on Project150
          Yr 0 NWC$ 2000000
          NWC of sales15
          Equipment cost - installed$ 800000
          Salvage Value in year 820of equipment cost
          Depreciation Calculations
          Equipment Depreciable Base800000
          MACRS (Eqpt-7 yr)1429244917491249893893893445
          Recovery Allowance1143201959201399209992071440714407144035600
          Book Value685680489760349840249920178480107040356000
          After-Tax Salvage Value
          Salvage Value20160000
          Book Value (Year 8)0
          Capital GainLoss160000
          Taxes54400
          Net SV (SV-Taxes)105600
          Required Net Working Capital Investment
          20000540009000010800010725099000825006600049500
          YEAR012345678
          Initial Investment
          Equipment Cost(800000)
          Sales360000600000720000715000660000550000440000330000
          Variable Costs180000300000360000390000360000300000240000180000
          Fixed Costs2500025000250002500025000250002500025000
          Depreciation (Eqpt))1143201959201399209992071440714407144035600
          EBT406807908019508020008020356015356010356089400
          Taxes1383126887663276802769210522103521030396
          Net Operating Income26849521931287531320531343501013506835059004
          Add back Depreciation1143201959201399209992071440714407144035600
          CASH FLOW from Operations14116924811326867323197320579017279013979094604
          NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
          Salvage Value105600
          TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
          Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
          NPV$ 65488
          IRR1724
          Depreciation5-year Asset
          YearBeg BVDeprDeprecEnd BV
          1$ 12000002000$ 240000$ 960000
          2$ 9600003200$ 384000$ 576000
          3$ 5760001920$ 230400$ 345600
          4$ 3456001152$ 138240$ 207360
          5$ 2073601152$ 138240$ 69120
          6$ 69120576$ 69120$ - 0
          10000$ 1200000
          EOY 5$3000$221501$78499
          EOY 2$4000$459840($59840)
          Pro Forma Income Statement
          Year0123
          Sales200000200000200000
          Variable Costs125000125000125000
          Gross Profit750007500075000
          Fixed Costs120001200012000
          Depreciation300003000030000
          EBIT330003300033000
          Taxes112201122011220
          Net Income217802178021780
          Cash Flows
          Operating Cash Flow517805178051780
          Changes in NWC-2000020000
          Net Capital Spending-90000
          Cash Flow From Assets-110000517805178071780
          Net Present Value$1064769
          IRR2576
          Depreciation5-year Asset
          YearBeg BVDeprDeprecEnd BV
          1$ 12000002000$ 240000$ 960000
          2$ 9600003200$ 384000$ 576000
          3$ 5760001920$ 230400$ 345600
          4$ 3456001152$ 138240$ 207360
          5$ 2073601152$ 138240$ 69120
          6$ 69120576$ 69120$ - 0
          10000$ 1200000
          Depreciation5-year Asset
          YearBeg BVDeprDeprecEnd BV
          1$ 12000002000$ 240000$ 960000
          2$ 9600003200$ 384000$ 576000
          3$ 5760001920$ 230400$ 345600
          4$ 3456001152$ 138240$ 207360
          5$ 2073601152$ 138240$ 69120
          6$ 69120576$ 69120$ - 0
          10000$ 1200000

          Cash flow estimates are the starting point in analyzing an investment The cash flows were simply given to us in Chapter 8

          We now need to understand where these cash flows come from And determine which cash flows should be considered in

          the investment decision

          9-5

          Understand how to determine the relevant cash flows for a proposed investment

          Understand how to analyze a projectrsquos projected cash flows

          Learn how to evaluate an estimated NPV Scenario analysis Sensitivity analysis

          9-6

          Relevant Cash Flows

          9-7

          Once a company decides to take on a new investment project their cash flows are going to be different If the Blue Hen Brewery takes on this new product

          line their cash flows will be altered

          The challenge for the Finance manager is to determine if the change in cash flows that result from the investment will increase the shareholder value

          9-8

          9-9

          Incremental Cash Flows for a Project

          Relevant Cash Flows

          Include only cash flows that will only occur if the project is accepted Incremental cash flows

          The stand-alone principle allows us to analyze each project in isolation from the firm simply by focusing on incremental cash flows

          In general it is easy to determine cash flows that are directly linked to the investment project under consideration Incremental revenue from the new product (eg

          sales of the new beer) Incremental costs from the new product (eg

          brewing ingredients packaging marketing)

          There are however some situations where it can be difficult to determine if cash flows are or are not relevant

          9-10

          Relevant

          bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter tax salvage value

          Not Relevant

          bull ldquoSunkrdquo costsbullFinancing costs

          9-11

          The most valuable alternative that is given up if a particular investment is undertaken

          If the project being considered is using an asset that has alternative uses and value then it is a relevant cash flow

          9-12

          Opportunity Cost

          For the new Blue Hen Brewery beer being considered the plan is to use an older brewery building that was purchased years ago for $100000 and after depreciation is currently on their books for $40000

          Should this be considered in the cash flow analysis for evaluating the new higher-alcohol product for Blue Hen Brewery If so what is the relevant cash flow amount

          9-13

          Which of the following is correct with respect to how to treat the old building that will be used for the new Blue Hen Brewery productA Since it is currently not being used it should be viewed as

          ldquofreerdquo and have no impact on the cash flow for analyzing the new investment opportunity (ie this is a sunk cost)

          B The cash flow impact to the project should be $100000 since this is what the building cost years ago

          C The cash flow impact to the project should be $40000 since this is what the book value of the building currently is

          D None of the above

          9-14

          The opportunity cost is what the building and land could be sold for (ie the current market value of the building) This is the most valuable alternative that is given up if a

          particular investment is undertaken So if the building could be sold for say $75000 then it

          is this amount of $75000 that is a relevant cash flow in the investment decision

          9-15

          9-16

          When a company launches a new product there could be ldquospilloverrdquo impacts on the sales of existing products Known as ldquoside effectsrdquo Can be positive ndash the new product increases the

          sales of existing products Can be negative ndash the new product decreases

          the sales of existing products (called ldquoerosionrdquo)

          The cash flow of a new project that comes at the expense of a firmrsquos existing projects

          Also known as ldquoproduct cannibalizationrdquo

          9-17

          Erosion

          There are many very loyal customers of Blue Hen Brewery that drink only Blue Hen beer products

          Some of these customers will buy the new higher-alcohol products instead of buying existing Blue Hen Brewery products This new product will ldquoeroderdquo or ldquocannibalizerdquo existing

          product lines

          This is a relevant cash flow impact that should be considered in the investment analysis for the new product

          9-18

          Thrill Rides is considering adding a new roller coaster to its amusement park The addition is expected to increase its overall ticket sales In particular the company expects to sell more tickets for its current roller coaster and experience extremely high demand for its new coaster Sales for its boat ride are expected to decline but food and beverage sales are expected to increase significantly All of the following are side effects associated with the new roller coaster with the exception of the

          A Increased food sales

          B Additional sales for the existing coaster

          C Increased food costs from the higher food sales

          D Reduced sales for the boat ride

          E Ticket sales for the new coaster

          9-19

          9-20

          Net working capital is Current Assets minus Current Liabilities

          Current Assets Current Liabilitiesbull Cashbull Accounts Receivablebull Inventory

          bull Accounts Payable

          Most investment projects will impact a firmrsquos working capital Accounts receivable and inventory would increase to

          support higher sales levels Accounts payable would likely increase as inventory

          increases

          These cash flows donrsquot appear on the income statement due to the GAAP matching principle Sales recorded when made not when cash is received Cost of goods sold recorded when sales are made

          whether suppliers paid yet or not

          9-21

          In general most projects will require an investment in working capital at the beginning of the project This would need to be captured in the cash flow analysis

          (as a cash outflow) at the time of launch or in the first year

          At the end of the project the increase in working capital would no longer be needed as inventories are sold receivables collected etc This would need to be captured in the last year of the

          project as a cash inflow from the release of working capital

          9-22

          We need to consider the tax impacts of all cash flows

          Incremental cash flows are meant to be after-taxincremental cash flows

          Which tax rate is most relevant for after-tax cash flowsA Marginal tax rateB Average tax rate

          9-23

          Many projects will require an investment in long-term assets at the beginning of the project This would need to be captured in the cash flow

          analysis (as a cash outflow) at the time of launch

          At the end of the project if there is value in this fixed asset the after-tax salvage value needs to be determined

          9-24

          If the salvage value is different from the book value of the asset then there is a tax effect which impacts cash flows

          9-25

          After-Tax Salvage

          Salvage Amount= Tax rate [Salvage

          Amount ndash Book Value]-

          Book Value Initial Cost= - Accumulated

          Depreciation

          Straight-line depreciationD = (Initial cost ndash salvage) number of yearsStraight Line rarr Salvage Value

          MACRS (Accelerated Depreciation)Depreciate rarr 0Recovery Period = Class Life12 Year ConventionMultiply percentage in table by the initial cost

          9-26Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

          You purchase a new piece of equipment for $100000 to be used in a project that will last 4 years If it is depreciated on a straight-line basis over 5 years what is the book value after 4 years

          A $80000B $75000C $25000D $20000E $0

          9-27

          If you then sell this fixed asset at the end of the project (after 4 years) for $20000 what is your after-tax salvage value (Assume a 30 tax rate)

          A $26000B $20000C $14000D $80000E $0

          9-28

          If you then sell this fixed asset at the end of the project (after 4 years) for $30000 what is your after-tax salvage value (Assume a 30 tax rate)

          A $39000B $30000C $27000D $21000E $0

          9-29

          Net Salvage Cash Flow = SP - (SP-BV)(T)

          WhereSP = Selling PriceBV = Book ValueT = Corporate tax rate

          Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-30

          This represents the tax paid on the gain or the tax benefit of the loss

          Depreciation and After-Tax Salvage Car purchased for $12000 5-year property Marginal tax rate = 34

          9-31

          Depreciation 5-year Asset

          Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

          10000 1200000$

          Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

          Sheet1

          Sheet2

          Sheet3

          Depreciation 5-year Asset

          Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

          10000 1200000$

          Net Salvage Cash Flow = SP - (SP-BV)(T)If sold at EOY 5 for $3000

          NSCF = 3000 - (3000 - 69120)(34) = $221501= $3000 ndash 78499 = $221501

          If sold at EOY 2 for $4000NSCF = 4000 - (4000 - 5760)(34) = $459840

          = $4000 ndash (-59840) = $459840

          Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-32

          What is the after-tax net salvage cash flow at end of year 5 and 2

          Sheet1

          Sheet2

          Sheet3

          A cost that has already been incurred and cannot be recouped

          Therefore it should not be considered in an investment decision

          9-33

          Sunk Cost

          The Blue Hen Brewery spent $100000 on market research and consulting fees to analyze their higher-alcohol beer product

          Is this a sunk costA YesB NoC More information is needed

          9-34

          In Chapter 2 we learned that financing costs (eg interest expense) is a cash flow to creditors Interest expense is not an operating expense

          We care only about cash flow from assets when we make investment decisions

          Financing decisions are important but this is a separate question from deciding if an investment increases shareholder value or not Thus Financing costs are not a relevant cash flow in

          analyzing an investment project

          9-35

          Relevant

          bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter-tax salvage value

          Not Relevant

          bull ldquoSunkrdquo costsbullFinancing costs

          9-36

          Which one of the following principles refers to the assumption that a project will be evaluated based on its incremental cash flows

          A Forecast assumption principleB Base assumption principleC Fallacy principleD Erosion principle E Stand-alone principle

          9-37

          A cost that should be ignored when evaluating a project because that cost has already been incurred and cannot be recouped is referred to as a(n)

          A Fixed costB Forgotten costC Variable costD Opportunity costE Sunk cost

          9-38

          Lake City Plastics currently produces plastic plates and silverware The company is considering expanding its product offerings to include plastic serving trays All of the following are relevant costs to this project with the exception of

          A The cost of additional utilities required to operate the serving tray production operation

          B Any change in the expected sales of plates and silverware gained from offering trays also

          C A percentage of the current operating overhead

          D The additional plastic raw materials that would be required

          E The cost to acquire the forms needed to mold the trays

          9-39

          Which one of the following terms is most commonly used to describe the cash flows of a new project that are simply an offset of reduced cash flows for a current project

          A Opportunity costB Sunk costC ErosionD Replicated flowsE Pirated flows

          9-40

          Pro Forma Financial

          Statements and Cash Flows

          9-41

          The process to evaluate a proposed investment is as follows

          9-42

          Pro Forma Financial

          Statements

          Projected Cash Flows

          Estimate Project Value

          bull Assumptions are gathered and these serve as the basis for the pro forma financial statements

          bull Incremental cash flows need to be determined Cash flow from

          assets

          bull Project value is determined NPV IRR PI Payback

          Financial statements projecting future yearsrsquo operations Pro forma income

          statement Pro forma balance sheet

          Summarizes all relevant information for a project

          9-43

          Pro Forma Financial

          Statements

          Underwater Adventures Inc specializes in selling unique underwater experiences for scuba divers and snorkelers They have developed a ldquoshark attractantrdquo product to meet

          this demand of customers who want to get close to sharks for better photos to post on social media

          We have been asked to evaluate whether launching this product is a good idea

          9-44

          Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

          100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

          Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-45

          9-46Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

          Sales (50000 units at $400unit) $200000Variable Costs ($250unit) ($125000)Gross Profit $75000Fixed Costs ($12000)Depreciation ($90000 3) ($30000)EBIT $33000Taxes (34) ($11200)

          Net Income $21780

          The pro forma income statement currently does not have any interest expense

          Should interest expense be includedA YesB No

          9-47

          No interest expense is a financing expense and not a component of operating cash flow

          We need to understand the cash flow impacts that result from changes in the balance sheet Investments in working capital (eg higher

          inventory and accounts receivable) Investments in fixed assets (ie capital

          requirements of the project) We donrsquot care about the financing aspects

          of the balance sheet For the same reason we didnrsquot consider interest

          expense in the pro forma income statement9-48

          Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

          100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

          Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-49

          9-50Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

          Year0 1 2 3

          Net Working Capital

          $20000 $20000 $20000 $20000

          Net Fixed Assets

          90000 60000 30000 0

          Total Investment

          $110000 $80000 $50000 $20000

          Net Fixed Assets declines by the amount of depreciation each year

          The process to evaluate a proposed investment is as follows

          9-51

          Pro Forma Financial

          Statements

          Projected Cash Flows

          Estimate Project Value

          9-52

          Net Income Depreciation= +

          Earnings Before Interest amp Taxes Depreciation Taxes= + -

          Operating Cash Flow

          Operating Cash Flow= minus

          Net Capital

          Spending

          Changes in Net

          Working Capital

          Cash Flow from

          Assetsminus

          + Interest

          Will be 0 since interest is not a

          relevant cash flow

          9-53

          Sales (50000 units at $400unit)

          $200000

          Variable Costs ($250unit) (125000)

          Gross profit $ 75000

          Fixed costs (12000)

          Depreciation ($90000 3) (30000)

          EBIT $ 33000

          Taxes (34) (11220)

          Net Income $ 21780=======

          What is the operating cash flow

          A $21750B $33000C $63000D $51780E $63780

          9-54

          Net Income Depreciation= + If no interest expense

          Earnings Before Interest amp Taxes Depreciation Taxes= + -

          Operating Cash Flow

          $21780 $30000= +If no interest

          expense

          $33000 $30000 $11220= + -Operating Cash Flow

          = $51780

          9-55

          Year

          0 1 2 3

          OCF $51780 $51780 $51780

          NWC -$20000 20000

          Capital Spending

          -$90000

          CFFA -$110000 $51780 $51780 $71780

          Note Investment in NWC is recovered in final yearEquipment cost is a cash outflow in year 0

          Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

          9-56Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

          Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

          Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

          Pro Forma Income Statement

          Cash Flows

          The process to evaluate a proposed investment is as follows

          9-57

          Pro Forma Financial

          Statements

          Projected Cash Flows

          Estimate Project Value

          9-58

          Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

          Net Present Value $1064769IRR 2576

          Cash Flows

          We can estimate the project value by calculation the NPV and IRR

          SHARK

          DEPRC

          MMCC

          Scenario

          Sensitivity

          Pro Forma

          9-59

          Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

          Net Present Value $1064769IRR 2576

          Cash Flows

          Should we accept or reject the project

          Acceptbull The NPV is gt 0bull The IRR is greater than the

          required rate of return of 20

          SHARK

          DEPRC

          MMCC

          Scenario

          Sensitivity

          Pro Forma

          9-60

          Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

          Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

          Net Present Value $1064769IRR 2576

          Pro Forma Income Statement

          Cash Flows

          OCF = EBIT + Depreciation ndash TaxesOCF = Net Income + Depreciation (if no interest)

          Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

          SHARK

          DEPRC

          MMCC

          Scenario

          Sensitivity

          Pro Forma

          A new project is expected to generate an operating cash flow of $38728 and will initially free up $11610 in net working capital Purchases of fixed assets costing $52800 will be required to start up the project What is the total cash flow for this project at time zero

          A -$64410

          B -$41190

          C -$52800

          D $25682

          E $50338

          9-61

          The pro forma income statement for a proposed investment should include all of the following except

          A Fixed costsB Forecasted salesC Depreciation expenseD TaxesE Changes in net working capital

          9-62

          9-63

          Sales (50000 units at $400unit)

          $200000

          Variable Costs ($250unit) (125000)

          Gross profit $ 75000

          Fixed costs (12000)

          Depreciation ($90000 3) (30000)

          EBIT $ 33000

          Taxes (34) (11220)

          Net Income $ 21780=======

          What is the operating cash flow (using the approaches already learned)

          A $21750B $33000C $63000D $51780E $63780

          9-64

          Net Income Depreciation= + If no interest expense

          Earnings Before Interest amp Taxes Depreciation Taxes= + -

          Operating Cash Flow

          $21780 $30000= +If no interest

          expense

          $33000 $30000 $11220= + -Operating Cash Flow

          = $51780

          Option 1

          Option 2

          The tax savings that results from the depreciation deduction

          Calculated as depreciation multiplied by the corporate tax rate

          9-65

          Depreciation Tax Shield

          9-66

          (Sales ndash Costs) (1 ndash Tax Rate) = +Operating

          Cash FlowDepreciation Tax Rate

          Option 3

          9-67

          Sales (50000 units at $400unit)

          $200000

          Variable Costs ($250unit) (125000)

          Gross profit $ 75000

          Fixed costs (12000)

          Depreciation ($90000 3) (30000)

          EBIT $ 33000

          Taxes (34) (11220)

          Net Income $ 21780=======

          What is the operating cash flow using the tax shield approach

          9-68

          ($200000 -$137000) 66

          + $30000 34

          = $51780

          =

          (Sales ndash Costs) (1 ndash Tax Rate) = +Operating

          Cash FlowDepreciation Tax Rate

          Which one of the following is the formula for computing operating cash flow

          A Net Income + Depreciation + InterestB Net Income + Depreciation - InterestC EBIT + Depreciation - TaxesD (Sales ndash Costs) (1-Tax Rate) + (Depreciation Tax Rate)E A C and D

          9-69

          Evaluating NPV

          Estimates

          9-70

          Calculating NPV is just an estimate based on the best information available The calculations could be wrong The confidence level in the analysis is a

          judgment call A positive NPV suggests the project may be

          worth doing But more analysis normally would be required

          It is important to understand what the NPV looks like when things donrsquot go as planned

          9-71

          9-72

          If NPV gt 0 Accept the project

          Maybe accept the

          project

          Why maybe

          9-73

          What drives the NPV result

          Projected future cash

          flow

          How do you know your projected estimates are

          accurate

          9-74

          Forecasting Risk

          We need to develop some tools to understand where potential estimate errors may exist

          The possibility that errors (or poor estimates) in projected cash flows will lead to incorrect decisions

          Also called ldquoestimation riskrdquo

          The following tools will help assess the reasonableness of the NPV analysis

          9-75

          What-If Analysis

          Scenario analysis Sensitivity analysis

          Understand sources of value

          Articulate what drives the investment to deliver a positive NPV

          A positive NPV is creating value for the shareholders

          We should understand what is the source of this value

          9-76

          Project Idea Potential Questions to Answer

          New Product bull Is this new product better than the competitionbull Does this new product meet an unmet consumer need

          Marketing Campaign

          bull Is it reasonable that this marketing effort can increase sales as estimated

          CompanyAcquisition

          bull Are there sufficient synergies that can be realized to justify the purchase price

          Cost Improvements

          bull How realistic is it that the expected cost savings will truly materialize in the time frame noted (without unexpected negative impacts)

          9-77

          Scenario Analysis

          The determination of what happens to NPV estimates when we ask what-if questions

          Sensitivity Analysis

          Investigation of what happens to NPV estimates when only one variable is changed

          Scenario and Sensitivity Analysis

          9-78

          Examines several possible situations Worst case Base case or most likely case Best case

          Provides a range of possible outcomes

          Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-79

          Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

          Base Lower UpperUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 5800$ 6200$ Fixed costyear 50000$ 45000$ 55000$

          BASE BEST WORST

          Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

          Project Life 5 yearsTax rate 34Required return 12

          Note ldquoLowerrdquo ne WorstldquoUpperrdquo ne Best

          9-80

          SHARK

          DEPRC

          MMCC

          Scenario

          Sensitivity

          Pro Forma

          Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

          BASE WORST BESTUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 6200$ 5800$ Fixed Cost 50000$ 55000$ 45000$

          Sales 480000$ 412500$ 552500$ Variable Cost 360000 341000 377000Fixed Cost 50000 55000 45000Depreciation 40000 40000 40000EBIT 30000 (23500) 90500Taxes 10200 (7990) 30770Net Income 19800 (15510) 59730 + Deprec 40000 40000 40000

          TOTAL CF 59800 24490 99730

          NPV 15566 (111719) 159504

          IRR 151 -144 409

          9-81

          SHARK

          DEPRC

          MMCC

          Scenario

          Sensitivity

          Pro Forma

          Considers only a few possible outcomes

          Assumes perfectly correlated inputs All ldquobadrdquo values occur together and

          all ldquogoodrdquo values occur together More likely to have some ldquobadrdquo values

          and some ldquogoodrdquo values

          9-82

          Shows how changes in an input variable affect NPV or IRR

          Each variable is fixed except one Change one variable to see the effect

          on NPV or IRR Answers ldquowhat ifrdquo questions

          Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-83

          Unit Sales Sensitivity

          $(8226)

          $15566

          $39357

          -2000000

          -1000000

          000

          1000000

          2000000

          3000000

          4000000

          5000000

          5500 6000 6500

          Unit Sales

          NPV

          Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-84

          SHARK

          DEPRC

          MMCC

          Scenario

          Sensitivity

          Sensitivity (2)

          GRAPH

          GRAPH

          UNITS
          FC
          UNITS
          Fixed Cost
          Change in NPV
          NPV
          Sensitivity Analysis

          Pro Forma

          Chart3

          Y
          Unit Sales
          NPV
          Unit Sales Sensitivity
          -82259060352458
          155656169002312
          393571398357083

          SHARK

          DEPRC

          MMCC

          Scenario

          Sensitivity

          Sensitivity

          Y
          Unit Sales
          NPV
          Unit Sales Sensitivity

          Sensitivity (2)

          GRAPH

          GRAPH

          UNITS
          FC
          UNITS
          Fixed Cost
          Change in NPV
          NPV
          Sensitivity Analysis

          Pro Forma

          Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

          Base Fixed Cost Fixed CostUnits 6000 6000 6000 Priceunit 80$ 80 80Variable costunit 60$ 60 60Fixed costyear 50000$ 55000 45000

          Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

          Tax rate 34Required Return 12

          BASE FC FCUnits 6000 6000 6000 Priceunit 80$ 80$ 80$ Variable costunit 60$ 60$ 60$ Fixed cost 50000$ 55000$ 45000$

          Sales 480000$ 480000$ 480000$ Variable Cost 360000 360000 360000 Fixed Cost 50000 55000 45000 Depreciation 40000 40000 40000 EBIT 30000 25000 35000 Taxes 10200 8500 11900 Net Income 19800 16500 23100 + Deprec 40000 40000 40000

          TOTAL CF 59800 56500 63100

          NPV 15566$ 3670$ 27461$

          Fixed Cost Sensitivity

          $27461

          $15566

          $3670

          000

          500000

          1000000

          1500000

          2000000

          2500000

          3000000

          $45000 $50000 $55000Fixed Cost

          NPV

          9-85

          SHARK

          DEPRC

          MMCC

          Scenario

          Sensitivity_A

          Sensitivity_A

          Y
          Unit Sales
          NPV
          Unit Sales Sensitivity

          Sensitivity (2)

          Y
          Fixed Cost
          NPV
          Fixed Cost Sensitivity

          GRAPH

          Pro Forma

          Pro Forma

          UNITS
          FC
          UNITS
          Fixed Cost
          Change in NPV
          NPV
          Sensitivity Analysis

          Chart4

          Y
          Fixed Cost
          NPV
          Fixed Cost Sensitivity
          274613783679698
          155656169002312
          36698554324927

          SHARK

          DEPRC

          MMCC

          Scenario

          Sensitivity

          Sensitivity

          Y
          Unit Sales
          NPV
          Unit Sales Sensitivity

          Sensitivity (2)

          Y
          Fixed Cost
          NPV
          Fixed Cost Sensitivity

          GRAPH

          Pro Forma

          Pro Forma

          UNITS
          FC
          UNITS
          Fixed Cost
          Change in NPV
          NPV
          Sensitivity Analysis

          Strengths Identifies dangerous variables Gives some breakeven information

          Weaknesses Says nothing about the likelihood of

          change in a variable Ignores relationships among

          variables

          9-86

          Neither provides a decision rule No indication whether a projectrsquos

          expected return is sufficient to compensate for its risk

          Ignores diversification Measures only stand-alone risk which

          may not be the most relevant risk in capital budgeting

          Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-87

          Scenario analysis is best described as the determination of the

          A Most likely outcome for a projectB Reasonable range of project outcomesC Variable that has the greatest effect on a projectrsquos

          outcomeD Effect that a projectrsquos initial cost has on the projectrsquos net

          present valueE Change in a projectrsquos net present value given a stated

          change in projected sales

          9-88

          • FINC311 Principles of Finance
          • Corporate Finance Overview
          • Building Blocks for Decisions
          • Introduction Example
          • Introduction
          • Chapter Objectives
          • Slide Number 7
          • Cash Flow Introduction
          • Relevant Cash Flows
          • Relevant Cash Flows
          • Relevant Cash Flows - Watchouts
          • Opportunity Cost
          • Opportunity Cost Example
          • Opportunity Cost Example
          • Opportunity Cost Example
          • Side Effects
          • Side Effects Erosion
          • Erosion Example
          • Question ndash Side Effects
          • Net Working Capital
          • Changes in Net Working Capital
          • Changes in Net Working Capital
          • Tax Effects
          • After-Tax Salvage Value
          • After-Tax Salvage
          • Computing Depreciation
          • Question
          • Question
          • Question
          • Tax Effect on Salvage
          • Example
          • Salvage Value amp Tax Effects
          • Sunk Cost
          • Sunk Cost Example
          • Financing Costs
          • Relevant Cash Flows - Watchouts
          • Question
          • Question
          • Question
          • Question
          • Slide Number 41
          • Evaluating a Proposed Investment
          • Pro Forma Financial Statements
          • Shark Attractant Project
          • Shark Attractant Project- Assumptions
          • Pro Forma Income Statement
          • Where is the Interest Expense
          • Pro Forma Balance Sheet
          • Shark Attractant Project- Assumptions
          • Projected Capital Requirements
          • Evaluating a Proposed Investment
          • Cash Flow - Definitions
          • Pro Forma Income Statement
          • Operating Cash Flow
          • Projected Total Cash Flows
          • Shark Attractant Project ndash Cash Flows
          • Evaluating a Proposed Investment
          • Estimate Project Value
          • Making the Decision
          • Shark Attractant Project
          • Question
          • Question
          • Pro Forma Income Statement
          • Operating Cash Flow
          • Depreciation Tax Shield
          • The Tax Shield Approach to OCF
          • Pro Forma Income Statement
          • The Tax Shield Approach to OCF
          • Question
          • Slide Number 70
          • Intro to Evaluating NPV
          • NPV Decision Rule
          • Risk with NPV Analysis
          • NPV ndash Forecasting Risk
          • Tools to Evaluate NPV Analysis
          • Understanding Sources of Value
          • Scenario and Sensitivity Analysis
          • Slide Number 78
          • Scenario Analysis
          • Scenario Analysis Example
          • Scenario Analysis Example
          • Problems with Scenario Analysis
          • Sensitivity Analysis
          • Sensitivity Analysis Unit Sales
          • Sensitivity Analysis Fixed Costs
          • Sensitivity Analysis
          • Disadvantages of Sensitivity and Scenario Analysis
          • Question
            Pro Forma Income Statements
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC(20000)20000
            Net Capital Spending(90000)
            Cash Flow From Assets(110000)517805178071780
            Net Present Value$1064769
            IRR2576
            -30-20-100102030
            UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
            FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
            Sensitivity Analysis
            -30-20-100102030-30-20-100102030
            BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
            Units60004200480054006000660072007800Units60006000600060006000600060006000
            Priceunit$ 8080808080808080Priceunit$ 8080808080808080
            Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
            Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
            Initial investment$ 200000Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000Deprecyr$ 40000
            Tax rate34Tax rate34
            Required Return12Required Return12
            BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
            Units60004200480054006000660072007800Units60006000600060006000600060006000
            Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
            Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
            Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
            Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
            Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
            Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
            Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
            EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
            Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
            Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
            + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
            TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
            NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
            Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
            Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
            SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
            INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
            Sensitivity Ratio = ( Change in NPV) Change in Variable
            Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
            Negative = Inverse relationshipPositive = Direct relationship
            Negative = Inverse relationship
            $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
            5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            5980069700664006310059800565005320049900
            PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
            NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
            NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
            Sensitivity Analysis
            BaseUnitsUnitsFixed CostFixed Cost
            Units60005500650060006000
            Priceunit$ 8080808080
            Variable costunit$ 6060606060UNITS
            Fixed costyear$ 5000050000500005500045000X550060006500
            Y$ (8226)$ 15566$ 39357
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Tax rate34
            Required Return12
            BASEUNITSUNITSFCFC
            Units60005500650060006000
            Priceunit$ 80$ 80$ 80$ 80$ 80
            Variable costunit$ 60$ 60$ 60$ 60$ 60
            Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
            Sales$ 480000$ 440000$ 520000$ 480000$ 480000
            Variable Cost360000330000390000360000360000
            Fixed Cost5000050000500005500045000
            Depreciation4000040000400004000040000
            EBIT3000020000400002500035000
            Taxes10200680013600850011900
            Net Income1980013200264001650023100
            + Deprec4000040000400004000040000
            TOTAL CF5980053200664005650063100
            NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
            FC
            $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)X$ 45000$ 50000$ 55000
            5980053200664005650063100Y$ 27461$ 15566$ 3670
            5980053200664005650063100
            5980053200664005650063100
            5980053200664005650063100
            5980053200664005650063100
            PV$ 215566$ 191774$ 239357$ 203670$ 227461
            NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
            Scenario Analysis
            BaseLowerUpper
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 5800$ 6200
            Fixed costyear$ 50000$ 45000$ 55000
            BASEBESTWORST
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Project Life5years
            Tax rate34
            Required return12
            BASEWORSTBEST
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 6200$ 5800
            Fixed Cost$ 50000$ 55000$ 45000
            Sales$ 480000$ 412500$ 552500
            Variable Cost360000341000377000
            Fixed Cost500005500045000
            Depreciation400004000040000
            EBIT30000(23500)90500
            Taxes10200(7990)30770
            Net Income19800(15510)59730
            + Deprec400004000040000
            TOTAL CF598002449099730
            NPV15566(111719)159504
            IRR151-144409
            NOTENote in WORST CASE tax credit for negative earnings
            $ (200000)$ (200000)$ (200000)
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            PV$215566$88281$359504
            NPV15566(111719)159504
            Majestic Mulch and Compost Company (MMCC)
            YEAR012345678
            Background Data
            Unit Sales Estimates30005000600065006000500040003000
            Variable Cost unit$ 6000
            Fixed Costs per year$ 2500000
            Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
            Tax Rate340
            Required Return on Project150
            Yr 0 NWC$ 2000000
            NWC of sales15
            Equipment cost - installed$ 800000
            Salvage Value in year 820of equipment cost
            Depreciation Calculations
            Equipment Depreciable Base800000
            MACRS (Eqpt-7 yr)1429244917491249892893893446
            Recovery Allowance1143201959201399209992071360714407144035680
            Book Value685680489760349840249920178560107120356800
            After-Tax Salvage Value
            Salvage Value20160000
            Book Value (Year 8)0
            Capital GainLoss160000
            Taxes54400
            Net SV (SV-Taxes)105600
            Required Net Working Capital Investment
            20000540009000010800010725099000825006600049500
            YEAR012345678
            Initial Investment
            Equipment Cost(800000)
            Sales360000600000720000715000660000550000440000330000
            Variable Costs180000300000360000390000360000300000240000180000
            Fixed Costs2500025000250002500025000250002500025000
            Depreciation (Eqpt))1143201959201399209992071360714407144035680
            EBT406807908019508020008020364015356010356089320
            Taxes1383126887663276802769238522103521030369
            Net Operating Income26849521931287531320531344021013506835058951
            Add back Depreciation1143201959201399209992071360714407144035680
            CASH FLOW from Operations14116924811326867323197320576217279013979094631
            NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
            Salvage Value105600
            TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
            Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
            Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
            NPV$65483
            IRR1724
            Payback408
            Depreciation5-year Asset
            YearBeg BVDeprDeprecEnd BV
            1$ 12000002000$ 240000$ 960000
            2$ 9600003200$ 384000$ 576000
            3$ 5760001920$ 230400$ 345600
            4$ 3456001152$ 138240$ 207360
            5$ 2073601152$ 138240$ 69120
            6$ 69120576$ 69120$ - 0
            10000$ 1200000
            EOY 5$3000$221501$78499
            EOY 2$4000$459840($59840)
            Pro Forma Income Statement
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC-2000020000
            Net Capital Spending-90000
            Cash Flow From Assets-110000517805178071780
            Net Present Value$1064769
            IRR2576
            45000
            50000
            55000
            Pro Forma Income Statements
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC(20000)20000
            Net Capital Spending(90000)
            Cash Flow From Assets(110000)517805178071780
            Net Present Value$1064769
            IRR2576
            -30-20-100102030
            UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
            FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
            Sensitivity Analysis
            -30-20-100102030-30-20-100102030
            BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
            Units60004200480054006000660072007800Units60006000600060006000600060006000
            Priceunit$ 8080808080808080Priceunit$ 8080808080808080
            Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
            Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
            Initial investment$ 200000Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000Deprecyr$ 40000
            Tax rate34Tax rate34
            Required Return12Required Return12
            BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
            Units60004200480054006000660072007800Units60006000600060006000600060006000
            Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
            Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
            Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
            Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
            Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
            Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
            Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
            EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
            Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
            Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
            + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
            TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
            NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
            Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
            Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
            SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
            INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
            Sensitivity Ratio = ( Change in NPV) Change in Variable
            Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
            Negative = Inverse relationshipPositive = Direct relationship
            Negative = Inverse relationship
            $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
            5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            5980069700664006310059800565005320049900
            PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
            NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
            NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
            Sensitivity Analysis
            BaseUnitsUnitsFixed CostFixed Cost
            Units60005500650060006000
            Priceunit$ 8080808080
            Variable costunit$ 6060606060UNITS
            Fixed costyear$ 5000050000500005500045000X550060006500
            Y$ (8226)$ 15566$ 39357
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Tax rate34
            Required Return12
            BASEUNITSUNITSFCFC
            Units60005500650060006000
            Priceunit$ 80$ 80$ 80$ 80$ 80
            Variable costunit$ 60$ 60$ 60$ 60$ 60
            Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
            Sales$ 480000$ 440000$ 520000$ 480000$ 480000
            Variable Cost360000330000390000360000360000
            Fixed Cost5000050000500005500045000
            Depreciation4000040000400004000040000
            EBIT3000020000400002500035000
            Taxes10200680013600850011900
            Net Income1980013200264001650023100
            + Deprec4000040000400004000040000
            TOTAL CF5980053200664005650063100
            NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
            FC
            $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)X$ 45000$ 50000$ 55000
            5980053200664005650063100Y$ 27461$ 15566$ 3670
            5980053200664005650063100
            5980053200664005650063100
            5980053200664005650063100
            5980053200664005650063100
            PV$ 215566$ 191774$ 239357$ 203670$ 227461
            NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
            Scenario Analysis
            BaseLowerUpper
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 5800$ 6200
            Fixed costyear$ 50000$ 45000$ 55000
            BASEBESTWORST
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Project Life5years
            Tax rate34
            Required return12
            BASEWORSTBEST
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 6200$ 5800
            Fixed Cost$ 50000$ 55000$ 45000
            Sales$ 480000$ 412500$ 552500
            Variable Cost360000341000377000
            Fixed Cost500005500045000
            Depreciation400004000040000
            EBIT30000(23500)90500
            Taxes10200(7990)30770
            Net Income19800(15510)59730
            + Deprec400004000040000
            TOTAL CF598002449099730
            NPV15566(111719)159504
            IRR151-144409
            NOTENote in WORST CASE tax credit for negative earnings
            $ (200000)$ (200000)$ (200000)
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            PV$215566$88281$359504
            NPV15566(111719)159504
            Majestic Mulch and Compost Company (MMCC)
            YEAR012345678
            Background Data
            Unit Sales Estimates30005000600065006000500040003000
            Variable Cost unit$ 6000
            Fixed Costs per year$ 2500000
            Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
            Tax Rate340
            Required Return on Project150
            Yr 0 NWC$ 2000000
            NWC of sales15
            Equipment cost - installed$ 800000
            Salvage Value in year 820of equipment cost
            Depreciation Calculations
            Equipment Depreciable Base800000
            MACRS (Eqpt-7 yr)1429244917491249892893893446
            Recovery Allowance1143201959201399209992071360714407144035680
            Book Value685680489760349840249920178560107120356800
            After-Tax Salvage Value
            Salvage Value20160000
            Book Value (Year 8)0
            Capital GainLoss160000
            Taxes54400
            Net SV (SV-Taxes)105600
            Required Net Working Capital Investment
            20000540009000010800010725099000825006600049500
            YEAR012345678
            Initial Investment
            Equipment Cost(800000)
            Sales360000600000720000715000660000550000440000330000
            Variable Costs180000300000360000390000360000300000240000180000
            Fixed Costs2500025000250002500025000250002500025000
            Depreciation (Eqpt))1143201959201399209992071360714407144035680
            EBT406807908019508020008020364015356010356089320
            Taxes1383126887663276802769238522103521030369
            Net Operating Income26849521931287531320531344021013506835058951
            Add back Depreciation1143201959201399209992071360714407144035680
            CASH FLOW from Operations14116924811326867323197320576217279013979094631
            NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
            Salvage Value105600
            TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
            Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
            Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
            NPV$65483
            IRR1724
            Payback408
            Depreciation5-year Asset
            YearBeg BVDeprDeprecEnd BV
            1$ 12000002000$ 240000$ 960000
            2$ 9600003200$ 384000$ 576000
            3$ 5760001920$ 230400$ 345600
            4$ 3456001152$ 138240$ 207360
            5$ 2073601152$ 138240$ 69120
            6$ 69120576$ 69120$ - 0
            10000$ 1200000
            EOY 5$3000$221501$78499
            EOY 2$4000$459840($59840)
            Pro Forma Income Statement
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC-2000020000
            Net Capital Spending-90000
            Cash Flow From Assets-110000517805178071780
            Net Present Value$1064769
            IRR2576
            Pro Forma Income Statements
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC(20000)20000
            Net Capital Spending(90000)
            Cash Flow From Assets(110000)517805178071780
            Net Present Value$1064769
            IRR2576
            -30-20-100102030
            UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
            FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
            Sensitivity Analysis
            -30-20-100102030-30-20-100102030
            BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
            Units60004200480054006000660072007800Units60006000600060006000600060006000
            Priceunit$ 8080808080808080Priceunit$ 8080808080808080
            Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
            Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
            Initial investment$ 200000Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000Deprecyr$ 40000
            Tax rate34Tax rate34
            Required Return12Required Return12
            BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
            Units60004200480054006000660072007800Units60006000600060006000600060006000
            Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
            Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
            Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
            Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
            Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
            Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
            Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
            EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
            Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
            Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
            + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
            TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
            NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
            Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
            Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
            SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
            INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
            Sensitivity Ratio = ( Change in NPV) Change in Variable
            Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
            Negative = Inverse relationshipPositive = Direct relationship
            Negative = Inverse relationship
            $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
            5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            5980069700664006310059800565005320049900
            PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
            NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
            NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
            Sensitivity Analysis
            BaseUnitsUnitsFixed CostFixed Cost
            Units60005500650060006000
            Priceunit$ 8080808080
            Variable costunit$ 6060606060
            Fixed costyear$ 5000050000500005500045000X550060006500
            Y$ (8226)$ 15566$ 39357
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Tax rate34
            Required Return12
            BASEUNITSUNITSFCFC
            Units60005500650060006000
            Priceunit$ 80$ 80$ 80$ 80$ 80
            Variable costunit$ 60$ 60$ 60$ 60$ 60
            Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
            Sales$ 480000$ 440000$ 520000$ 480000$ 480000
            Variable Cost360000330000390000360000360000
            Fixed Cost5000050000500005500045000
            Depreciation4000040000400004000040000
            EBIT3000020000400002500035000
            Taxes10200680013600850011900
            Net Income1980013200264001650023100
            + Deprec4000040000400004000040000
            TOTAL CF5980053200664005650063100
            NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
            $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
            5980053200664005650063100
            5980053200664005650063100
            5980053200664005650063100
            5980053200664005650063100
            5980053200664005650063100
            PV$ 215566$ 191774$ 239357$ 203670$ 227461
            NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
            Scenario Analysis
            BaseLowerUpper
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 5800$ 6200
            Fixed costyear$ 50000$ 45000$ 55000
            BASEBESTWORST
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Project Life5years
            Tax rate34
            Required return12
            BASEWORSTBEST
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 6200$ 5800
            Fixed Cost$ 50000$ 55000$ 45000
            Sales$ 480000$ 412500$ 552500
            Variable Cost360000341000377000
            Fixed Cost500005500045000
            Depreciation400004000040000
            EBIT30000(23500)90500
            Taxes10200(7990)30770
            Net Income19800(15510)59730
            + Deprec400004000040000
            TOTAL CF598002449099730
            NPV15566(111719)159504
            IRR151-144409
            NOTENote in WORST CASE tax credit for negative earnings
            $ (200000)$ (200000)$ (200000)
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            PV$215566$88281$359504
            NPV15566(111719)159504
            Majestic Mulch and Compost Company (MMCC)
            YEAR012345678
            Background Data
            Unit Sales Estimates30005000600065006000500040003000
            Variable Cost unit$ 6000
            Fixed Costs per year$ 2500000
            Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
            Tax Rate340
            Required Return on Project150
            Yr 0 NWC$ 2000000
            NWC of sales15
            Equipment cost - installed$ 800000
            Salvage Value in year 820of equipment cost
            Depreciation Calculations
            Equipment Depreciable Base800000
            MACRS (Eqpt-7 yr)1429244917491249892893893446
            Recovery Allowance1143201959201399209992071360714407144035680
            Book Value685680489760349840249920178560107120356800
            After-Tax Salvage Value
            Salvage Value20160000
            Book Value (Year 8)0
            Capital GainLoss160000
            Taxes54400
            Net SV (SV-Taxes)105600
            Required Net Working Capital Investment
            20000540009000010800010725099000825006600049500
            YEAR012345678
            Initial Investment
            Equipment Cost(800000)
            Sales360000600000720000715000660000550000440000330000
            Variable Costs180000300000360000390000360000300000240000180000
            Fixed Costs2500025000250002500025000250002500025000
            Depreciation (Eqpt))1143201959201399209992071360714407144035680
            EBT406807908019508020008020364015356010356089320
            Taxes1383126887663276802769238522103521030369
            Net Operating Income26849521931287531320531344021013506835058951
            Add back Depreciation1143201959201399209992071360714407144035680
            CASH FLOW from Operations14116924811326867323197320576217279013979094631
            NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
            Salvage Value105600
            TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
            Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
            Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
            NPV$65483
            IRR1724
            Payback408
            Depreciation5-year Asset
            YearBeg BVDeprDeprecEnd BV
            1$ 12000002000$ 240000$ 960000
            2$ 9600003200$ 384000$ 576000
            3$ 5760001920$ 230400$ 345600
            4$ 3456001152$ 138240$ 207360
            5$ 2073601152$ 138240$ 69120
            6$ 69120576$ 69120$ - 0
            10000$ 1200000
            EOY 5$3000$221501$78499
            EOY 2$4000$459840($59840)
            Pro Forma Income Statement
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC-2000020000
            Net Capital Spending-90000
            Cash Flow From Assets-110000517805178071780
            Net Present Value$1064769
            IRR2576
            5500
            6000
            6500
            Pro Forma Income Statements
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC(20000)20000
            Net Capital Spending(90000)
            Cash Flow From Assets(110000)517805178071780
            Net Present Value$1064769
            IRR2576
            -30-20-100102030
            UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
            FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
            Sensitivity Analysis
            -30-20-100102030-30-20-100102030
            BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
            Units60004200480054006000660072007800Units60006000600060006000600060006000
            Priceunit$ 8080808080808080Priceunit$ 8080808080808080
            Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
            Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
            Initial investment$ 200000Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000Deprecyr$ 40000
            Tax rate34Tax rate34
            Required Return12Required Return12
            BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
            Units60004200480054006000660072007800Units60006000600060006000600060006000
            Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
            Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
            Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
            Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
            Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
            Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
            Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
            EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
            Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
            Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
            + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
            TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
            NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
            Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
            Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
            SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
            INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
            Sensitivity Ratio = ( Change in NPV) Change in Variable
            Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
            Negative = Inverse relationshipPositive = Direct relationship
            Negative = Inverse relationship
            $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
            5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            59800360404396051880598006772075640835605980069700664006310059800565005320049900
            5980069700664006310059800565005320049900
            PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
            NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
            NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
            Sensitivity Analysis
            BaseUnitsUnitsFixed CostFixed Cost
            Units60005500650060006000
            Priceunit$ 8080808080
            Variable costunit$ 6060606060
            Fixed costyear$ 5000050000500005500045000
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Tax rate34
            Required Return12
            BASEUNITSUNITSFCFC
            Units60005500650060006000
            Priceunit$ 80$ 80$ 80$ 80$ 80
            Variable costunit$ 60$ 60$ 60$ 60$ 60
            Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
            Sales$ 480000$ 440000$ 520000$ 480000$ 480000
            Variable Cost360000330000390000360000360000
            Fixed Cost5000050000500005500045000
            Depreciation4000040000400004000040000
            EBIT3000020000400002500035000
            Taxes10200680013600850011900
            Net Income1980013200264001650023100
            + Deprec4000040000400004000040000
            TOTAL CF5980053200664005650063100
            NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
            $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
            5980053200664005650063100
            5980053200664005650063100
            5980053200664005650063100
            5980053200664005650063100
            5980053200664005650063100
            PV$ 215566$ 191774$ 239357$ 203670$ 227461
            NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
            Scenario Analysis
            BaseLowerUpper
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 5800$ 6200
            Fixed costyear$ 50000$ 45000$ 55000
            BASEBESTWORST
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Project Life5years
            Tax rate34
            Required return12
            BASEWORSTBEST
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 6200$ 5800
            Fixed Cost$ 50000$ 55000$ 45000
            Sales$ 480000$ 412500$ 552500
            Variable Cost360000341000377000
            Fixed Cost500005500045000
            Depreciation400004000040000
            EBIT30000(23500)90500
            Taxes10200(7990)30770
            Net Income19800(15510)59730
            + Deprec400004000040000
            TOTAL CF598002449099730
            NPV15566(111719)159504
            IRR151-144409
            NOTENote in WORST CASE tax credit for negative earnings
            $ (200000)$ (200000)$ (200000)
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            PV$215566$88281$359504
            NPV15566(111719)159504
            Majestic Mulch and Compost Company (MMCC)
            YEAR012345678
            Background Data
            Unit Sales Estimates30005000600065006000500040003000
            Variable Cost unit$ 6000
            Fixed Costs per year$ 2500000
            Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
            Tax Rate340
            Required Return on Project150
            Yr 0 NWC$ 2000000
            NWC of sales15
            Equipment cost - installed$ 800000
            Salvage Value in year 820of equipment cost
            Depreciation Calculations
            Equipment Depreciable Base800000
            MACRS (Eqpt-7 yr)1429244917491249892893893446
            Recovery Allowance1143201959201399209992071360714407144035680
            Book Value685680489760349840249920178560107120356800
            After-Tax Salvage Value
            Salvage Value20160000
            Book Value (Year 8)0
            Capital GainLoss160000
            Taxes54400
            Net SV (SV-Taxes)105600
            Required Net Working Capital Investment
            20000540009000010800010725099000825006600049500
            YEAR012345678
            Initial Investment
            Equipment Cost(800000)
            Sales360000600000720000715000660000550000440000330000
            Variable Costs180000300000360000390000360000300000240000180000
            Fixed Costs2500025000250002500025000250002500025000
            Depreciation (Eqpt))1143201959201399209992071360714407144035680
            EBT406807908019508020008020364015356010356089320
            Taxes1383126887663276802769238522103521030369
            Net Operating Income26849521931287531320531344021013506835058951
            Add back Depreciation1143201959201399209992071360714407144035680
            CASH FLOW from Operations14116924811326867323197320576217279013979094631
            NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
            Salvage Value105600
            TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
            Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
            Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
            NPV$65483
            IRR1724
            Payback408
            Depreciation5-year Asset
            YearBeg BVDeprDeprecEnd BV
            1$ 12000002000$ 240000$ 960000
            2$ 9600003200$ 384000$ 576000
            3$ 5760001920$ 230400$ 345600
            4$ 3456001152$ 138240$ 207360
            5$ 2073601152$ 138240$ 69120
            6$ 69120576$ 69120$ - 0
            10000$ 1200000
            EOY 5$3000$221501$78499
            EOY 2$4000$459840($59840)
            Pro Forma Income Statement
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC-2000020000
            Net Capital Spending-90000
            Cash Flow From Assets-110000517805178071780
            Net Present Value$1064769
            IRR2576
            Pro Forma Income Statements
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC(20000)20000
            Net Capital Spending(90000)
            Cash Flow From Assets(110000)517805178071780
            Net Present Value$1064769
            IRR2576
            Sensitivity Analysis
            BaseUnitsFixed Cost
            Units600055006000
            Priceunit$ 808080
            Variable costunit$ 606060
            Fixed costyear$ 500005000055000
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Tax rate34
            Required Return12
            BASEUNITSFC
            Units600055006000
            Priceunit$ 80$ 80$ 80
            Variable costunit$ 60$ 60$ 60
            Fixed cost$ 50000$ 50000$ 55000
            Sales$ 480000$ 440000$ 480000
            Variable Cost360000330000360000
            Fixed Cost500005000055000
            Depreciation400004000040000
            EBIT300002000025000
            Taxes1020068008500
            Net Income198001320016500
            + Deprec400004000040000
            TOTAL CF598005320056500
            NPV$ 15566$ (8226)$ 3670
            Change in NPV-1528-764
            Change in Variable-83100
            SENSITIVITY RATIO1834-764
            DIRECTINVERSE
            Sensitivity Ratio = ( Change in NPV) Change in Variable
            Positive = Direct relationship
            Negative = Inverse relationship
            $ (200000)$ (200000)$ (200000)
            598005320056500
            598005320056500
            598005320056500
            598005320056500
            598005320056500
            PV$ 215566$ 191774$ 203670
            NPV$ 15566$ (8226)$ 3670
            Scenario Analysis
            BaseLowerUpper
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 5800$ 6200
            Fixed costyear$ 50000$ 45000$ 55000
            BASEBESTWORST
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Project Life5years
            Tax rate34
            Required return12
            BASEWORSTBEST
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 6200$ 5800
            Fixed Cost$ 50000$ 55000$ 45000
            Sales$ 480000$ 412500$ 552500
            Variable Cost360000341000377000
            Fixed Cost500005500045000
            Depreciation400004000040000
            EBIT30000(23500)90500
            Taxes10200(7990)30770
            Net Income19800(15510)59730
            + Deprec400004000040000
            TOTAL CF598002449099730
            NPV15566(111719)159504
            IRR151-144409
            NOTENote in WORST CASE tax credit for negative earnings
            $ (200000)$ (200000)$ (200000)
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            PV$215566$88281$359504
            NPV15566(111719)159504
            Majestic Mulch and Compost Company (MMCC)
            YEAR012345678
            Background Data
            Unit Sales Estimates30005000600065006000500040003000
            Variable Cost unit$ 6000
            Fixed Costs per year$ 2500000
            Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
            Tax Rate340
            Required Return on Project150
            Yr 0 NWC$ 2000000
            NWC of sales15
            Equipment cost - installed$ 800000
            Salvage Value in year 820of equipment cost
            Depreciation Calculations
            Equipment Depreciable Base800000
            MACRS (Eqpt-7 yr)1429244917491249892893893446
            Recovery Allowance1143201959201399209992071360714407144035680
            Book Value685680489760349840249920178560107120356800
            After-Tax Salvage Value
            Salvage Value20160000
            Book Value (Year 8)0
            Capital GainLoss160000
            Taxes54400
            Net SV (SV-Taxes)105600
            Required Net Working Capital Investment
            20000540009000010800010725099000825006600049500
            YEAR012345678
            Initial Investment
            Equipment Cost(800000)
            Sales360000600000720000715000660000550000440000330000
            Variable Costs180000300000360000390000360000300000240000180000
            Fixed Costs2500025000250002500025000250002500025000
            Depreciation (Eqpt))1143201959201399209992071360714407144035680
            EBT406807908019508020008020364015356010356089320
            Taxes1383126887663276802769238522103521030369
            Net Operating Income26849521931287531320531344021013506835058951
            Add back Depreciation1143201959201399209992071360714407144035680
            CASH FLOW from Operations14116924811326867323197320576217279013979094631
            NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
            Salvage Value105600
            TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
            Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
            Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
            NPV$65483
            IRR1724
            Payback408
            Depreciation5-year Asset
            YearBeg BVDeprDeprecEnd BV
            1$ 12000002000$ 240000$ 960000
            2$ 9600003200$ 384000$ 576000
            3$ 5760001920$ 230400$ 345600
            4$ 3456001152$ 138240$ 207360
            5$ 2073601152$ 138240$ 69120
            6$ 69120576$ 69120$ - 0
            10000$ 1200000
            EOY 5$3000$221501$78499
            EOY 2$4000$459840($59840)
            Pro Forma Income Statement
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC-2000020000
            Net Capital Spending-90000
            Cash Flow From Assets-110000517805178071780
            Net Present Value$1064769
            IRR2576
            Pro Forma Income Statements
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC(20000)20000
            Net Capital Spending(90000)
            Cash Flow From Assets(110000)517805178071780
            Net Present Value$1064769
            IRR2576
            Sensitivity Analysis
            BaseUnitsFixed Cost
            Units600055006000
            Priceunit$ 808080
            Variable costunit$ 606060
            Fixed costyear$ 500005000055000
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Tax rate34
            Required Return12
            BASEUNITSFC
            Units600055006000
            Priceunit$ 80$ 80$ 80
            Variable costunit$ 60$ 60$ 60
            Fixed cost$ 50000$ 50000$ 55000
            Sales$ 480000$ 440000$ 480000
            Variable Cost360000330000360000
            Fixed Cost500005000055000
            Depreciation400004000040000
            EBIT300002000025000
            Taxes1020068008500
            Net Income198001320016500
            + Deprec400004000040000
            TOTAL CF598005320056500
            NPV$ 15566$ (8226)$ 3670
            Change in NPV-1528-764
            Change in Variable-83100
            SENSITIVITY RATIO1834-764
            DIRECTINVERSE
            Sensitivity Ratio = ( Change in NPV) Change in Variable
            Positive = Direct relationship
            Negative = Inverse relationship
            $ (200000)$ (200000)$ (200000)
            598005320056500
            598005320056500
            598005320056500
            598005320056500
            598005320056500
            PV$ 215566$ 191774$ 203670
            NPV$ 15566$ (8226)$ 3670
            Scenario Analysis
            BaseLowerUpper
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 5800$ 6200
            Fixed costyear$ 50000$ 45000$ 55000
            BASEBESTWORST
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Project Life5years
            Tax rate34
            Required return12
            BASEWORSTBEST
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 6200$ 5800
            Fixed Cost$ 50000$ 55000$ 45000
            Sales$ 480000$ 412500$ 552500
            Variable Cost360000341000377000
            Fixed Cost500005500045000
            Depreciation400004000040000
            EBIT30000(23500)90500
            Taxes10200(7990)30770
            Net Income19800(15510)59730
            + Deprec400004000040000
            TOTAL CF598002449099730
            NPV15566(111719)159504
            IRR151-144409
            NOTENote in WORST CASE tax credit for negative earnings
            $ (200000)$ (200000)$ (200000)
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            PV$215566$88281$359504
            NPV15566(111719)159504
            Majestic Mulch and Compost Company (MMCC)
            YEAR012345678
            Background Data
            Unit Sales Estimates30005000600065006000500040003000
            Variable Cost unit$ 6000
            Fixed Costs per year$ 2500000
            Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
            Tax Rate340
            Required Return on Project150
            Yr 0 NWC$ 2000000
            NWC of sales15
            Equipment cost - installed$ 800000
            Salvage Value in year 820of equipment cost
            Depreciation Calculations
            Equipment Depreciable Base800000
            MACRS (Eqpt-7 yr)1429244917491249892893893446
            Recovery Allowance1143201959201399209992071360714407144035680
            Book Value685680489760349840249920178560107120356800
            After-Tax Salvage Value
            Salvage Value20160000
            Book Value (Year 8)0
            Capital GainLoss160000
            Taxes54400
            Net SV (SV-Taxes)105600
            Required Net Working Capital Investment
            20000540009000010800010725099000825006600049500
            YEAR012345678
            Initial Investment
            Equipment Cost(800000)
            Sales360000600000720000715000660000550000440000330000
            Variable Costs180000300000360000390000360000300000240000180000
            Fixed Costs2500025000250002500025000250002500025000
            Depreciation (Eqpt))1143201959201399209992071360714407144035680
            EBT406807908019508020008020364015356010356089320
            Taxes1383126887663276802769238522103521030369
            Net Operating Income26849521931287531320531344021013506835058951
            Add back Depreciation1143201959201399209992071360714407144035680
            CASH FLOW from Operations14116924811326867323197320576217279013979094631
            NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
            Salvage Value105600
            TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
            Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
            Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
            NPV$65483
            IRR1724
            Payback408
            Depreciation5-year Asset
            YearBeg BVDeprDeprecEnd BV
            1$ 12000002000$ 240000$ 960000
            2$ 9600003200$ 384000$ 576000
            3$ 5760001920$ 230400$ 345600
            4$ 3456001152$ 138240$ 207360
            5$ 2073601152$ 138240$ 69120
            6$ 69120576$ 69120$ - 0
            10000$ 1200000
            EOY 5$3000$221501$78499
            EOY 2$4000$459840($59840)
            Pro Forma Income Statement
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC-2000020000
            Net Capital Spending-90000
            Cash Flow From Assets-110000517805178071780
            Net Present Value$1064769
            IRR2576
            Pro Forma Income Statements
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC(20000)20000
            Net Capital Spending(90000)
            Cash Flow From Assets(110000)517805178071780
            Net Present Value$1064769
            IRR2576
            Sensitivity Analysis
            BaseUnitsFixed Cost
            Units600055006000
            Priceunit$ 808080
            Variable costunit$ 606060
            Fixed costyear$ 500005000055000
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Tax rate34
            Required Return12
            BASEUNITSFC
            Units600055006000
            Priceunit$ 80$ 80$ 80
            Variable costunit$ 60$ 60$ 60
            Fixed cost$ 50000$ 50000$ 55000
            Sales$ 480000$ 440000$ 480000
            Variable Cost360000330000360000
            Fixed Cost500005000055000
            Depreciation400004000040000
            EBIT300002000025000
            Taxes1020068008500
            Net Income198001320016500
            + Deprec400004000040000
            TOTAL CF598005320056500
            NPV$ 15566$ (8226)$ 3670
            Change in NPV-1528-764
            Change in Variable-83100
            SENSITIVITY RATIO1834-764
            DIRECTINVERSE
            Sensitivity Ratio = ( Change in NPV) Change in Variable
            Positive = Direct relationship
            Negative = Inverse relationship
            $ (200000)$ (200000)$ (200000)
            598005320056500
            598005320056500
            598005320056500
            598005320056500
            598005320056500
            PV$ 215566$ 191774$ 203670
            NPV$ 15566$ (8226)$ 3670
            Scenario Analysis
            BaseLowerUpper
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 5800$ 6200
            Fixed costyear$ 50000$ 45000$ 55000
            BASEBESTWORST
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Project Life5years
            Tax rate34
            Required return12
            BASEWORSTBEST
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 6200$ 5800
            Fixed Cost$ 50000$ 55000$ 45000
            Sales$ 480000$ 412500$ 552500
            Variable Cost360000341000377000
            Fixed Cost500005500045000
            Depreciation400004000040000
            EBIT30000(23500)90500
            Taxes10200(7990)30770
            Net Income19800(15510)59730
            + Deprec400004000040000
            TOTAL CF598002449099730
            NPV15566(111719)159504
            IRR151-144409
            NOTENote in WORST CASE tax credit for negative earnings
            $ (200000)$ (200000)$ (200000)
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            PV$215566$88281$359504
            NPV15566(111719)159504
            Majestic Mulch and Compost Company (MMCC)
            YEAR012345678
            Background Data
            Unit Sales Estimates30005000600065006000500040003000
            Variable Cost unit$ 6000
            Fixed Costs per year$ 2500000
            Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
            Tax Rate340
            Required Return on Project150
            Yr 0 NWC$ 2000000
            NWC of sales15
            Equipment cost - installed$ 800000
            Salvage Value in year 820of equipment cost
            Depreciation Calculations
            Equipment Depreciable Base800000
            MACRS (Eqpt-7 yr)1429244917491249893893893445
            Recovery Allowance1143201959201399209992071440714407144035600
            Book Value685680489760349840249920178480107040356000
            After-Tax Salvage Value
            Salvage Value20160000
            Book Value (Year 8)0
            Capital GainLoss160000
            Taxes54400
            Net SV (SV-Taxes)105600
            Required Net Working Capital Investment
            20000540009000010800010725099000825006600049500
            YEAR012345678
            Initial Investment
            Equipment Cost(800000)
            Sales360000600000720000715000660000550000440000330000
            Variable Costs180000300000360000390000360000300000240000180000
            Fixed Costs2500025000250002500025000250002500025000
            Depreciation (Eqpt))1143201959201399209992071440714407144035600
            EBT406807908019508020008020356015356010356089400
            Taxes1383126887663276802769210522103521030396
            Net Operating Income26849521931287531320531343501013506835059004
            Add back Depreciation1143201959201399209992071440714407144035600
            CASH FLOW from Operations14116924811326867323197320579017279013979094604
            NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
            Salvage Value105600
            TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
            Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
            NPV$ 65488
            IRR1724
            Depreciation5-year Asset
            YearBeg BVDeprDeprecEnd BV
            1$ 12000002000$ 240000$ 960000
            2$ 9600003200$ 384000$ 576000
            3$ 5760001920$ 230400$ 345600
            4$ 3456001152$ 138240$ 207360
            5$ 2073601152$ 138240$ 69120
            6$ 69120576$ 69120$ - 0
            10000$ 1200000
            EOY 5$3000$221501$78499
            EOY 2$4000$459840($59840)
            Pro Forma Income Statement
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC-2000020000
            Net Capital Spending-90000
            Cash Flow From Assets-110000517805178071780
            Net Present Value$1064769
            IRR2576
            Pro Forma Income Statements
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC(20000)20000
            Net Capital Spending(90000)
            Cash Flow From Assets(110000)517805178071780
            Net Present Value$1064769
            IRR2576
            Sensitivity Analysis
            BaseUnitsFixed Cost
            Units600055006000
            Priceunit$ 808080
            Variable costunit$ 606060
            Fixed costyear$ 500005000055000
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Tax rate34
            Required Return12
            BASEUNITSFC
            Units600055006000
            Priceunit$ 80$ 80$ 80
            Variable costunit$ 60$ 60$ 60
            Fixed cost$ 50000$ 50000$ 55000
            Sales$ 480000$ 440000$ 480000
            Variable Cost360000330000360000
            Fixed Cost500005000055000
            Depreciation400004000040000
            EBIT300002000025000
            Taxes1020068008500
            Net Income198001320016500
            + Deprec400004000040000
            TOTAL CF598005320056500
            NPV$ 15566$ (8226)$ 3670
            Change in NPV-1528-764
            Change in Variable-83100
            SENSITIVITY RATIO1834-764
            DIRECTINVERSE
            Sensitivity Ratio = ( Change in NPV) Change in Variable
            Positive = Direct relationship
            Negative = Inverse relationship
            $ (200000)$ (200000)$ (200000)
            598005320056500
            598005320056500
            598005320056500
            598005320056500
            598005320056500
            PV$ 215566$ 191774$ 203670
            NPV$ 15566$ (8226)$ 3670
            Scenario Analysis
            BaseLowerUpper
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 5800$ 6200
            Fixed costyear$ 50000$ 45000$ 55000
            BASEBESTWORST
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Project Life5years
            Tax rate34
            Required return12
            BASEWORSTBEST
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 6200$ 5800
            Fixed Cost$ 50000$ 55000$ 45000
            Sales$ 480000$ 412500$ 552500
            Variable Cost360000341000377000
            Fixed Cost500005500045000
            Depreciation400004000040000
            EBIT30000(23500)90500
            Taxes10200(7990)30770
            Net Income19800(15510)59730
            + Deprec400004000040000
            TOTAL CF598002449099730
            NPV15566(111719)159504
            IRR151-144409
            NOTENote in WORST CASE tax credit for negative earnings
            $ (200000)$ (200000)$ (200000)
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            PV$215566$88281$359504
            NPV15566(111719)159504
            Majestic Mulch and Compost Company (MMCC)
            YEAR012345678
            Background Data
            Unit Sales Estimates30005000600065006000500040003000
            Variable Cost unit$ 6000
            Fixed Costs per year$ 2500000
            Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
            Tax Rate340
            Required Return on Project150
            Yr 0 NWC$ 2000000
            NWC of sales15
            Equipment cost - installed$ 800000
            Salvage Value in year 820of equipment cost
            Depreciation Calculations
            Equipment Depreciable Base800000
            MACRS (Eqpt-7 yr)1429244917491249893893893445
            Recovery Allowance1143201959201399209992071440714407144035600
            Book Value685680489760349840249920178480107040356000
            After-Tax Salvage Value
            Salvage Value20160000
            Book Value (Year 8)0
            Capital GainLoss160000
            Taxes54400
            Net SV (SV-Taxes)105600
            Required Net Working Capital Investment
            20000540009000010800010725099000825006600049500
            YEAR012345678
            Initial Investment
            Equipment Cost(800000)
            Sales360000600000720000715000660000550000440000330000
            Variable Costs180000300000360000390000360000300000240000180000
            Fixed Costs2500025000250002500025000250002500025000
            Depreciation (Eqpt))1143201959201399209992071440714407144035600
            EBT406807908019508020008020356015356010356089400
            Taxes1383126887663276802769210522103521030396
            Net Operating Income26849521931287531320531343501013506835059004
            Add back Depreciation1143201959201399209992071440714407144035600
            CASH FLOW from Operations14116924811326867323197320579017279013979094604
            NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
            Salvage Value105600
            TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
            Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
            NPV$ 65488
            IRR1724
            Depreciation5-year Asset
            YearBeg BVDeprDeprecEnd BV
            1$ 12000002000$ 240000$ 960000
            2$ 9600003200$ 384000$ 576000
            3$ 5760001920$ 230400$ 345600
            4$ 3456001152$ 138240$ 207360
            5$ 2073601152$ 138240$ 69120
            6$ 69120576$ 69120$ - 0
            10000$ 1200000
            EOY 5$3000$221501$78499
            EOY 2$4000$459840($59840)
            Pro Forma Income Statement
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC-2000020000
            Net Capital Spending-90000
            Cash Flow From Assets-110000517805178071780
            Net Present Value$1064769
            IRR2576
            Pro Forma Income Statements
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC(20000)20000
            Net Capital Spending(90000)
            Cash Flow From Assets(110000)517805178071780
            Net Present Value$1064769
            IRR2576
            Sensitivity Analysis
            BaseUnitsFixed Cost
            Units600055006000
            Priceunit$ 808080
            Variable costunit$ 606060
            Fixed costyear$ 500005000055000
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Tax rate34
            Required Return12
            BASEUNITSFC
            Units600055006000
            Priceunit$ 80$ 80$ 80
            Variable costunit$ 60$ 60$ 60
            Fixed cost$ 50000$ 50000$ 55000
            Sales$ 480000$ 440000$ 480000
            Variable Cost360000330000360000
            Fixed Cost500005000055000
            Depreciation400004000040000
            EBIT300002000025000
            Taxes1020068008500
            Net Income198001320016500
            + Deprec400004000040000
            TOTAL CF598005320056500
            NPV$ 15566$ (8226)$ 3670
            Change in NPV-1528-764
            Change in Variable-83100
            SENSITIVITY RATIO1834-764
            DIRECTINVERSE
            Sensitivity Ratio = ( Change in NPV) Change in Variable
            Positive = Direct relationship
            Negative = Inverse relationship
            $ (200000)$ (200000)$ (200000)
            598005320056500
            598005320056500
            598005320056500
            598005320056500
            598005320056500
            PV$ 215566$ 191774$ 203670
            NPV$ 15566$ (8226)$ 3670
            Scenario Analysis
            BaseLowerUpper
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 5800$ 6200
            Fixed costyear$ 50000$ 45000$ 55000
            BASEBESTWORST
            Initial investment$ 200000
            Depreciated to salvage value of 0 over 5 years
            Deprecyr$ 40000
            Project Life5years
            Tax rate34
            Required return12
            BASEWORSTBEST
            Units600055006500
            Priceunit$ 8000$ 7500$ 8500
            Variable costunit$ 6000$ 6200$ 5800
            Fixed Cost$ 50000$ 55000$ 45000
            Sales$ 480000$ 412500$ 552500
            Variable Cost360000341000377000
            Fixed Cost500005500045000
            Depreciation400004000040000
            EBIT30000(23500)90500
            Taxes10200(7990)30770
            Net Income19800(15510)59730
            + Deprec400004000040000
            TOTAL CF598002449099730
            NPV15566(111719)159504
            IRR151-144409
            NOTENote in WORST CASE tax credit for negative earnings
            $ (200000)$ (200000)$ (200000)
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            598002449099730
            PV$215566$88281$359504
            NPV15566(111719)159504
            Majestic Mulch and Compost Company (MMCC)
            YEAR012345678
            Background Data
            Unit Sales Estimates30005000600065006000500040003000
            Variable Cost unit$ 6000
            Fixed Costs per year$ 2500000
            Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
            Tax Rate340
            Required Return on Project150
            Yr 0 NWC$ 2000000
            NWC of sales15
            Equipment cost - installed$ 800000
            Salvage Value in year 820of equipment cost
            Depreciation Calculations
            Equipment Depreciable Base800000
            MACRS (Eqpt-7 yr)1429244917491249893893893445
            Recovery Allowance1143201959201399209992071440714407144035600
            Book Value685680489760349840249920178480107040356000
            After-Tax Salvage Value
            Salvage Value20160000
            Book Value (Year 8)0
            Capital GainLoss160000
            Taxes54400
            Net SV (SV-Taxes)105600
            Required Net Working Capital Investment
            20000540009000010800010725099000825006600049500
            YEAR012345678
            Initial Investment
            Equipment Cost(800000)
            Sales360000600000720000715000660000550000440000330000
            Variable Costs180000300000360000390000360000300000240000180000
            Fixed Costs2500025000250002500025000250002500025000
            Depreciation (Eqpt))1143201959201399209992071440714407144035600
            EBT406807908019508020008020356015356010356089400
            Taxes1383126887663276802769210522103521030396
            Net Operating Income26849521931287531320531343501013506835059004
            Add back Depreciation1143201959201399209992071440714407144035600
            CASH FLOW from Operations14116924811326867323197320579017279013979094604
            NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
            Salvage Value105600
            TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
            Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
            NPV$ 65488
            IRR1724
            Depreciation5-year Asset
            YearBeg BVDeprDeprecEnd BV
            1$ 12000002000$ 240000$ 960000
            2$ 9600003200$ 384000$ 576000
            3$ 5760001920$ 230400$ 345600
            4$ 3456001152$ 138240$ 207360
            5$ 2073601152$ 138240$ 69120
            6$ 69120576$ 69120$ - 0
            10000$ 1200000
            EOY 5$3000$221501$78499
            EOY 2$4000$459840($59840)
            Pro Forma Income Statement
            Year0123
            Sales200000200000200000
            Variable Costs125000125000125000
            Gross Profit750007500075000
            Fixed Costs120001200012000
            Depreciation300003000030000
            EBIT330003300033000
            Taxes112201122011220
            Net Income217802178021780
            Cash Flows
            Operating Cash Flow517805178051780
            Changes in NWC-2000020000
            Net Capital Spending-90000
            Cash Flow From Assets-110000517805178071780
            Net Present Value$1064769
            IRR2576
            Depreciation5-year Asset
            YearBeg BVDeprDeprecEnd BV
            1$ 12000002000$ 240000$ 960000
            2$ 9600003200$ 384000$ 576000
            3$ 5760001920$ 230400$ 345600
            4$ 3456001152$ 138240$ 207360
            5$ 2073601152$ 138240$ 69120
            6$ 69120576$ 69120$ - 0
            10000$ 1200000
            Depreciation5-year Asset
            YearBeg BVDeprDeprecEnd BV
            1$ 12000002000$ 240000$ 960000
            2$ 9600003200$ 384000$ 576000
            3$ 5760001920$ 230400$ 345600
            4$ 3456001152$ 138240$ 207360
            5$ 2073601152$ 138240$ 69120
            6$ 69120576$ 69120$ - 0
            10000$ 1200000

            Understand how to determine the relevant cash flows for a proposed investment

            Understand how to analyze a projectrsquos projected cash flows

            Learn how to evaluate an estimated NPV Scenario analysis Sensitivity analysis

            9-6

            Relevant Cash Flows

            9-7

            Once a company decides to take on a new investment project their cash flows are going to be different If the Blue Hen Brewery takes on this new product

            line their cash flows will be altered

            The challenge for the Finance manager is to determine if the change in cash flows that result from the investment will increase the shareholder value

            9-8

            9-9

            Incremental Cash Flows for a Project

            Relevant Cash Flows

            Include only cash flows that will only occur if the project is accepted Incremental cash flows

            The stand-alone principle allows us to analyze each project in isolation from the firm simply by focusing on incremental cash flows

            In general it is easy to determine cash flows that are directly linked to the investment project under consideration Incremental revenue from the new product (eg

            sales of the new beer) Incremental costs from the new product (eg

            brewing ingredients packaging marketing)

            There are however some situations where it can be difficult to determine if cash flows are or are not relevant

            9-10

            Relevant

            bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter tax salvage value

            Not Relevant

            bull ldquoSunkrdquo costsbullFinancing costs

            9-11

            The most valuable alternative that is given up if a particular investment is undertaken

            If the project being considered is using an asset that has alternative uses and value then it is a relevant cash flow

            9-12

            Opportunity Cost

            For the new Blue Hen Brewery beer being considered the plan is to use an older brewery building that was purchased years ago for $100000 and after depreciation is currently on their books for $40000

            Should this be considered in the cash flow analysis for evaluating the new higher-alcohol product for Blue Hen Brewery If so what is the relevant cash flow amount

            9-13

            Which of the following is correct with respect to how to treat the old building that will be used for the new Blue Hen Brewery productA Since it is currently not being used it should be viewed as

            ldquofreerdquo and have no impact on the cash flow for analyzing the new investment opportunity (ie this is a sunk cost)

            B The cash flow impact to the project should be $100000 since this is what the building cost years ago

            C The cash flow impact to the project should be $40000 since this is what the book value of the building currently is

            D None of the above

            9-14

            The opportunity cost is what the building and land could be sold for (ie the current market value of the building) This is the most valuable alternative that is given up if a

            particular investment is undertaken So if the building could be sold for say $75000 then it

            is this amount of $75000 that is a relevant cash flow in the investment decision

            9-15

            9-16

            When a company launches a new product there could be ldquospilloverrdquo impacts on the sales of existing products Known as ldquoside effectsrdquo Can be positive ndash the new product increases the

            sales of existing products Can be negative ndash the new product decreases

            the sales of existing products (called ldquoerosionrdquo)

            The cash flow of a new project that comes at the expense of a firmrsquos existing projects

            Also known as ldquoproduct cannibalizationrdquo

            9-17

            Erosion

            There are many very loyal customers of Blue Hen Brewery that drink only Blue Hen beer products

            Some of these customers will buy the new higher-alcohol products instead of buying existing Blue Hen Brewery products This new product will ldquoeroderdquo or ldquocannibalizerdquo existing

            product lines

            This is a relevant cash flow impact that should be considered in the investment analysis for the new product

            9-18

            Thrill Rides is considering adding a new roller coaster to its amusement park The addition is expected to increase its overall ticket sales In particular the company expects to sell more tickets for its current roller coaster and experience extremely high demand for its new coaster Sales for its boat ride are expected to decline but food and beverage sales are expected to increase significantly All of the following are side effects associated with the new roller coaster with the exception of the

            A Increased food sales

            B Additional sales for the existing coaster

            C Increased food costs from the higher food sales

            D Reduced sales for the boat ride

            E Ticket sales for the new coaster

            9-19

            9-20

            Net working capital is Current Assets minus Current Liabilities

            Current Assets Current Liabilitiesbull Cashbull Accounts Receivablebull Inventory

            bull Accounts Payable

            Most investment projects will impact a firmrsquos working capital Accounts receivable and inventory would increase to

            support higher sales levels Accounts payable would likely increase as inventory

            increases

            These cash flows donrsquot appear on the income statement due to the GAAP matching principle Sales recorded when made not when cash is received Cost of goods sold recorded when sales are made

            whether suppliers paid yet or not

            9-21

            In general most projects will require an investment in working capital at the beginning of the project This would need to be captured in the cash flow analysis

            (as a cash outflow) at the time of launch or in the first year

            At the end of the project the increase in working capital would no longer be needed as inventories are sold receivables collected etc This would need to be captured in the last year of the

            project as a cash inflow from the release of working capital

            9-22

            We need to consider the tax impacts of all cash flows

            Incremental cash flows are meant to be after-taxincremental cash flows

            Which tax rate is most relevant for after-tax cash flowsA Marginal tax rateB Average tax rate

            9-23

            Many projects will require an investment in long-term assets at the beginning of the project This would need to be captured in the cash flow

            analysis (as a cash outflow) at the time of launch

            At the end of the project if there is value in this fixed asset the after-tax salvage value needs to be determined

            9-24

            If the salvage value is different from the book value of the asset then there is a tax effect which impacts cash flows

            9-25

            After-Tax Salvage

            Salvage Amount= Tax rate [Salvage

            Amount ndash Book Value]-

            Book Value Initial Cost= - Accumulated

            Depreciation

            Straight-line depreciationD = (Initial cost ndash salvage) number of yearsStraight Line rarr Salvage Value

            MACRS (Accelerated Depreciation)Depreciate rarr 0Recovery Period = Class Life12 Year ConventionMultiply percentage in table by the initial cost

            9-26Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

            You purchase a new piece of equipment for $100000 to be used in a project that will last 4 years If it is depreciated on a straight-line basis over 5 years what is the book value after 4 years

            A $80000B $75000C $25000D $20000E $0

            9-27

            If you then sell this fixed asset at the end of the project (after 4 years) for $20000 what is your after-tax salvage value (Assume a 30 tax rate)

            A $26000B $20000C $14000D $80000E $0

            9-28

            If you then sell this fixed asset at the end of the project (after 4 years) for $30000 what is your after-tax salvage value (Assume a 30 tax rate)

            A $39000B $30000C $27000D $21000E $0

            9-29

            Net Salvage Cash Flow = SP - (SP-BV)(T)

            WhereSP = Selling PriceBV = Book ValueT = Corporate tax rate

            Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-30

            This represents the tax paid on the gain or the tax benefit of the loss

            Depreciation and After-Tax Salvage Car purchased for $12000 5-year property Marginal tax rate = 34

            9-31

            Depreciation 5-year Asset

            Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

            10000 1200000$

            Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

            Sheet1

            Sheet2

            Sheet3

            Depreciation 5-year Asset

            Year Beg BV Depr Deprec End BV1 1200000$ 2000 240000$ 960000$ 2 960000$ 3200 384000$ 576000$ 3 576000$ 1920 230400$ 345600$ 4 345600$ 1152 138240$ 207360$ 5 207360$ 1152 138240$ 69120$ 6 69120$ 576 69120$ -$

            10000 1200000$

            Net Salvage Cash Flow = SP - (SP-BV)(T)If sold at EOY 5 for $3000

            NSCF = 3000 - (3000 - 69120)(34) = $221501= $3000 ndash 78499 = $221501

            If sold at EOY 2 for $4000NSCF = 4000 - (4000 - 5760)(34) = $459840

            = $4000 ndash (-59840) = $459840

            Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-32

            What is the after-tax net salvage cash flow at end of year 5 and 2

            Sheet1

            Sheet2

            Sheet3

            A cost that has already been incurred and cannot be recouped

            Therefore it should not be considered in an investment decision

            9-33

            Sunk Cost

            The Blue Hen Brewery spent $100000 on market research and consulting fees to analyze their higher-alcohol beer product

            Is this a sunk costA YesB NoC More information is needed

            9-34

            In Chapter 2 we learned that financing costs (eg interest expense) is a cash flow to creditors Interest expense is not an operating expense

            We care only about cash flow from assets when we make investment decisions

            Financing decisions are important but this is a separate question from deciding if an investment increases shareholder value or not Thus Financing costs are not a relevant cash flow in

            analyzing an investment project

            9-35

            Relevant

            bullOpportunity costsbullSide effectserosionbullNet working capitalbullTax effectsbullAfter-tax salvage value

            Not Relevant

            bull ldquoSunkrdquo costsbullFinancing costs

            9-36

            Which one of the following principles refers to the assumption that a project will be evaluated based on its incremental cash flows

            A Forecast assumption principleB Base assumption principleC Fallacy principleD Erosion principle E Stand-alone principle

            9-37

            A cost that should be ignored when evaluating a project because that cost has already been incurred and cannot be recouped is referred to as a(n)

            A Fixed costB Forgotten costC Variable costD Opportunity costE Sunk cost

            9-38

            Lake City Plastics currently produces plastic plates and silverware The company is considering expanding its product offerings to include plastic serving trays All of the following are relevant costs to this project with the exception of

            A The cost of additional utilities required to operate the serving tray production operation

            B Any change in the expected sales of plates and silverware gained from offering trays also

            C A percentage of the current operating overhead

            D The additional plastic raw materials that would be required

            E The cost to acquire the forms needed to mold the trays

            9-39

            Which one of the following terms is most commonly used to describe the cash flows of a new project that are simply an offset of reduced cash flows for a current project

            A Opportunity costB Sunk costC ErosionD Replicated flowsE Pirated flows

            9-40

            Pro Forma Financial

            Statements and Cash Flows

            9-41

            The process to evaluate a proposed investment is as follows

            9-42

            Pro Forma Financial

            Statements

            Projected Cash Flows

            Estimate Project Value

            bull Assumptions are gathered and these serve as the basis for the pro forma financial statements

            bull Incremental cash flows need to be determined Cash flow from

            assets

            bull Project value is determined NPV IRR PI Payback

            Financial statements projecting future yearsrsquo operations Pro forma income

            statement Pro forma balance sheet

            Summarizes all relevant information for a project

            9-43

            Pro Forma Financial

            Statements

            Underwater Adventures Inc specializes in selling unique underwater experiences for scuba divers and snorkelers They have developed a ldquoshark attractantrdquo product to meet

            this demand of customers who want to get close to sharks for better photos to post on social media

            We have been asked to evaluate whether launching this product is a good idea

            9-44

            Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

            100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

            Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-45

            9-46Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

            Sales (50000 units at $400unit) $200000Variable Costs ($250unit) ($125000)Gross Profit $75000Fixed Costs ($12000)Depreciation ($90000 3) ($30000)EBIT $33000Taxes (34) ($11200)

            Net Income $21780

            The pro forma income statement currently does not have any interest expense

            Should interest expense be includedA YesB No

            9-47

            No interest expense is a financing expense and not a component of operating cash flow

            We need to understand the cash flow impacts that result from changes in the balance sheet Investments in working capital (eg higher

            inventory and accounts receivable) Investments in fixed assets (ie capital

            requirements of the project) We donrsquot care about the financing aspects

            of the balance sheet For the same reason we didnrsquot consider interest

            expense in the pro forma income statement9-48

            Estimated sales 50000 cans Sales Price per can $400 Cost per can $250 Estimated life 3 years Fixed costs $12000year Initial equipment cost $90000

            100 depreciated over 3 year life Investment in NWC $20000 Tax rate 34 Cost of capital 20

            Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-49

            9-50Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

            Year0 1 2 3

            Net Working Capital

            $20000 $20000 $20000 $20000

            Net Fixed Assets

            90000 60000 30000 0

            Total Investment

            $110000 $80000 $50000 $20000

            Net Fixed Assets declines by the amount of depreciation each year

            The process to evaluate a proposed investment is as follows

            9-51

            Pro Forma Financial

            Statements

            Projected Cash Flows

            Estimate Project Value

            9-52

            Net Income Depreciation= +

            Earnings Before Interest amp Taxes Depreciation Taxes= + -

            Operating Cash Flow

            Operating Cash Flow= minus

            Net Capital

            Spending

            Changes in Net

            Working Capital

            Cash Flow from

            Assetsminus

            + Interest

            Will be 0 since interest is not a

            relevant cash flow

            9-53

            Sales (50000 units at $400unit)

            $200000

            Variable Costs ($250unit) (125000)

            Gross profit $ 75000

            Fixed costs (12000)

            Depreciation ($90000 3) (30000)

            EBIT $ 33000

            Taxes (34) (11220)

            Net Income $ 21780=======

            What is the operating cash flow

            A $21750B $33000C $63000D $51780E $63780

            9-54

            Net Income Depreciation= + If no interest expense

            Earnings Before Interest amp Taxes Depreciation Taxes= + -

            Operating Cash Flow

            $21780 $30000= +If no interest

            expense

            $33000 $30000 $11220= + -Operating Cash Flow

            = $51780

            9-55

            Year

            0 1 2 3

            OCF $51780 $51780 $51780

            NWC -$20000 20000

            Capital Spending

            -$90000

            CFFA -$110000 $51780 $51780 $71780

            Note Investment in NWC is recovered in final yearEquipment cost is a cash outflow in year 0

            Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

            9-56Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

            Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

            Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

            Pro Forma Income Statement

            Cash Flows

            The process to evaluate a proposed investment is as follows

            9-57

            Pro Forma Financial

            Statements

            Projected Cash Flows

            Estimate Project Value

            9-58

            Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

            Net Present Value $1064769IRR 2576

            Cash Flows

            We can estimate the project value by calculation the NPV and IRR

            SHARK

            DEPRC

            MMCC

            Scenario

            Sensitivity

            Pro Forma

            9-59

            Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

            Net Present Value $1064769IRR 2576

            Cash Flows

            Should we accept or reject the project

            Acceptbull The NPV is gt 0bull The IRR is greater than the

            required rate of return of 20

            SHARK

            DEPRC

            MMCC

            Scenario

            Sensitivity

            Pro Forma

            9-60

            Year 0 1 2 3Sales 200000 200000 200000Variable Costs 125000 125000 125000Gross Profit 75000 75000 75000Fixed Costs 12000 12000 12000Depreciation 30000 30000 30000EBIT 33000 33000 33000Taxes 11220 11220 11220Net Income 21780 21780 21780

            Operating Cash Flow 51780 51780 51780Changes in NWC -20000 20000Net Capital Spending -90000Cash Flow From Assets -110000 51780 51780 71780

            Net Present Value $1064769IRR 2576

            Pro Forma Income Statement

            Cash Flows

            OCF = EBIT + Depreciation ndash TaxesOCF = Net Income + Depreciation (if no interest)

            Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

            SHARK

            DEPRC

            MMCC

            Scenario

            Sensitivity

            Pro Forma

            A new project is expected to generate an operating cash flow of $38728 and will initially free up $11610 in net working capital Purchases of fixed assets costing $52800 will be required to start up the project What is the total cash flow for this project at time zero

            A -$64410

            B -$41190

            C -$52800

            D $25682

            E $50338

            9-61

            The pro forma income statement for a proposed investment should include all of the following except

            A Fixed costsB Forecasted salesC Depreciation expenseD TaxesE Changes in net working capital

            9-62

            9-63

            Sales (50000 units at $400unit)

            $200000

            Variable Costs ($250unit) (125000)

            Gross profit $ 75000

            Fixed costs (12000)

            Depreciation ($90000 3) (30000)

            EBIT $ 33000

            Taxes (34) (11220)

            Net Income $ 21780=======

            What is the operating cash flow (using the approaches already learned)

            A $21750B $33000C $63000D $51780E $63780

            9-64

            Net Income Depreciation= + If no interest expense

            Earnings Before Interest amp Taxes Depreciation Taxes= + -

            Operating Cash Flow

            $21780 $30000= +If no interest

            expense

            $33000 $30000 $11220= + -Operating Cash Flow

            = $51780

            Option 1

            Option 2

            The tax savings that results from the depreciation deduction

            Calculated as depreciation multiplied by the corporate tax rate

            9-65

            Depreciation Tax Shield

            9-66

            (Sales ndash Costs) (1 ndash Tax Rate) = +Operating

            Cash FlowDepreciation Tax Rate

            Option 3

            9-67

            Sales (50000 units at $400unit)

            $200000

            Variable Costs ($250unit) (125000)

            Gross profit $ 75000

            Fixed costs (12000)

            Depreciation ($90000 3) (30000)

            EBIT $ 33000

            Taxes (34) (11220)

            Net Income $ 21780=======

            What is the operating cash flow using the tax shield approach

            9-68

            ($200000 -$137000) 66

            + $30000 34

            = $51780

            =

            (Sales ndash Costs) (1 ndash Tax Rate) = +Operating

            Cash FlowDepreciation Tax Rate

            Which one of the following is the formula for computing operating cash flow

            A Net Income + Depreciation + InterestB Net Income + Depreciation - InterestC EBIT + Depreciation - TaxesD (Sales ndash Costs) (1-Tax Rate) + (Depreciation Tax Rate)E A C and D

            9-69

            Evaluating NPV

            Estimates

            9-70

            Calculating NPV is just an estimate based on the best information available The calculations could be wrong The confidence level in the analysis is a

            judgment call A positive NPV suggests the project may be

            worth doing But more analysis normally would be required

            It is important to understand what the NPV looks like when things donrsquot go as planned

            9-71

            9-72

            If NPV gt 0 Accept the project

            Maybe accept the

            project

            Why maybe

            9-73

            What drives the NPV result

            Projected future cash

            flow

            How do you know your projected estimates are

            accurate

            9-74

            Forecasting Risk

            We need to develop some tools to understand where potential estimate errors may exist

            The possibility that errors (or poor estimates) in projected cash flows will lead to incorrect decisions

            Also called ldquoestimation riskrdquo

            The following tools will help assess the reasonableness of the NPV analysis

            9-75

            What-If Analysis

            Scenario analysis Sensitivity analysis

            Understand sources of value

            Articulate what drives the investment to deliver a positive NPV

            A positive NPV is creating value for the shareholders

            We should understand what is the source of this value

            9-76

            Project Idea Potential Questions to Answer

            New Product bull Is this new product better than the competitionbull Does this new product meet an unmet consumer need

            Marketing Campaign

            bull Is it reasonable that this marketing effort can increase sales as estimated

            CompanyAcquisition

            bull Are there sufficient synergies that can be realized to justify the purchase price

            Cost Improvements

            bull How realistic is it that the expected cost savings will truly materialize in the time frame noted (without unexpected negative impacts)

            9-77

            Scenario Analysis

            The determination of what happens to NPV estimates when we ask what-if questions

            Sensitivity Analysis

            Investigation of what happens to NPV estimates when only one variable is changed

            Scenario and Sensitivity Analysis

            9-78

            Examines several possible situations Worst case Base case or most likely case Best case

            Provides a range of possible outcomes

            Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-79

            Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

            Base Lower UpperUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 5800$ 6200$ Fixed costyear 50000$ 45000$ 55000$

            BASE BEST WORST

            Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

            Project Life 5 yearsTax rate 34Required return 12

            Note ldquoLowerrdquo ne WorstldquoUpperrdquo ne Best

            9-80

            SHARK

            DEPRC

            MMCC

            Scenario

            Sensitivity

            Pro Forma

            Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

            BASE WORST BESTUnits 6000 5500 6500 Priceunit 8000$ 7500$ 8500$ Variable costunit 6000$ 6200$ 5800$ Fixed Cost 50000$ 55000$ 45000$

            Sales 480000$ 412500$ 552500$ Variable Cost 360000 341000 377000Fixed Cost 50000 55000 45000Depreciation 40000 40000 40000EBIT 30000 (23500) 90500Taxes 10200 (7990) 30770Net Income 19800 (15510) 59730 + Deprec 40000 40000 40000

            TOTAL CF 59800 24490 99730

            NPV 15566 (111719) 159504

            IRR 151 -144 409

            9-81

            SHARK

            DEPRC

            MMCC

            Scenario

            Sensitivity

            Pro Forma

            Considers only a few possible outcomes

            Assumes perfectly correlated inputs All ldquobadrdquo values occur together and

            all ldquogoodrdquo values occur together More likely to have some ldquobadrdquo values

            and some ldquogoodrdquo values

            9-82

            Shows how changes in an input variable affect NPV or IRR

            Each variable is fixed except one Change one variable to see the effect

            on NPV or IRR Answers ldquowhat ifrdquo questions

            Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-83

            Unit Sales Sensitivity

            $(8226)

            $15566

            $39357

            -2000000

            -1000000

            000

            1000000

            2000000

            3000000

            4000000

            5000000

            5500 6000 6500

            Unit Sales

            NPV

            Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-84

            SHARK

            DEPRC

            MMCC

            Scenario

            Sensitivity

            Sensitivity (2)

            GRAPH

            GRAPH

            UNITS
            FC
            UNITS
            Fixed Cost
            Change in NPV
            NPV
            Sensitivity Analysis

            Pro Forma

            Chart3

            Y
            Unit Sales
            NPV
            Unit Sales Sensitivity
            -82259060352458
            155656169002312
            393571398357083

            SHARK

            DEPRC

            MMCC

            Scenario

            Sensitivity

            Sensitivity

            Y
            Unit Sales
            NPV
            Unit Sales Sensitivity

            Sensitivity (2)

            GRAPH

            GRAPH

            UNITS
            FC
            UNITS
            Fixed Cost
            Change in NPV
            NPV
            Sensitivity Analysis

            Pro Forma

            Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education

            Base Fixed Cost Fixed CostUnits 6000 6000 6000 Priceunit 80$ 80 80Variable costunit 60$ 60 60Fixed costyear 50000$ 55000 45000

            Initial investment 200000$ Depreciated to salvage value of 0 over 5 yearsDeprecyr 40000$

            Tax rate 34Required Return 12

            BASE FC FCUnits 6000 6000 6000 Priceunit 80$ 80$ 80$ Variable costunit 60$ 60$ 60$ Fixed cost 50000$ 55000$ 45000$

            Sales 480000$ 480000$ 480000$ Variable Cost 360000 360000 360000 Fixed Cost 50000 55000 45000 Depreciation 40000 40000 40000 EBIT 30000 25000 35000 Taxes 10200 8500 11900 Net Income 19800 16500 23100 + Deprec 40000 40000 40000

            TOTAL CF 59800 56500 63100

            NPV 15566$ 3670$ 27461$

            Fixed Cost Sensitivity

            $27461

            $15566

            $3670

            000

            500000

            1000000

            1500000

            2000000

            2500000

            3000000

            $45000 $50000 $55000Fixed Cost

            NPV

            9-85

            SHARK

            DEPRC

            MMCC

            Scenario

            Sensitivity_A

            Sensitivity_A

            Y
            Unit Sales
            NPV
            Unit Sales Sensitivity

            Sensitivity (2)

            Y
            Fixed Cost
            NPV
            Fixed Cost Sensitivity

            GRAPH

            Pro Forma

            Pro Forma

            UNITS
            FC
            UNITS
            Fixed Cost
            Change in NPV
            NPV
            Sensitivity Analysis

            Chart4

            Y
            Fixed Cost
            NPV
            Fixed Cost Sensitivity
            274613783679698
            155656169002312
            36698554324927

            SHARK

            DEPRC

            MMCC

            Scenario

            Sensitivity

            Sensitivity

            Y
            Unit Sales
            NPV
            Unit Sales Sensitivity

            Sensitivity (2)

            Y
            Fixed Cost
            NPV
            Fixed Cost Sensitivity

            GRAPH

            Pro Forma

            Pro Forma

            UNITS
            FC
            UNITS
            Fixed Cost
            Change in NPV
            NPV
            Sensitivity Analysis

            Strengths Identifies dangerous variables Gives some breakeven information

            Weaknesses Says nothing about the likelihood of

            change in a variable Ignores relationships among

            variables

            9-86

            Neither provides a decision rule No indication whether a projectrsquos

            expected return is sufficient to compensate for its risk

            Ignores diversification Measures only stand-alone risk which

            may not be the most relevant risk in capital budgeting

            Copyright (c) 2017 McGraw-Hill Education All rights reserved No reproduction or distribution without the prior written consent of McGraw-Hill Education 9-87

            Scenario analysis is best described as the determination of the

            A Most likely outcome for a projectB Reasonable range of project outcomesC Variable that has the greatest effect on a projectrsquos

            outcomeD Effect that a projectrsquos initial cost has on the projectrsquos net

            present valueE Change in a projectrsquos net present value given a stated

            change in projected sales

            9-88

            • FINC311 Principles of Finance
            • Corporate Finance Overview
            • Building Blocks for Decisions
            • Introduction Example
            • Introduction
            • Chapter Objectives
            • Slide Number 7
            • Cash Flow Introduction
            • Relevant Cash Flows
            • Relevant Cash Flows
            • Relevant Cash Flows - Watchouts
            • Opportunity Cost
            • Opportunity Cost Example
            • Opportunity Cost Example
            • Opportunity Cost Example
            • Side Effects
            • Side Effects Erosion
            • Erosion Example
            • Question ndash Side Effects
            • Net Working Capital
            • Changes in Net Working Capital
            • Changes in Net Working Capital
            • Tax Effects
            • After-Tax Salvage Value
            • After-Tax Salvage
            • Computing Depreciation
            • Question
            • Question
            • Question
            • Tax Effect on Salvage
            • Example
            • Salvage Value amp Tax Effects
            • Sunk Cost
            • Sunk Cost Example
            • Financing Costs
            • Relevant Cash Flows - Watchouts
            • Question
            • Question
            • Question
            • Question
            • Slide Number 41
            • Evaluating a Proposed Investment
            • Pro Forma Financial Statements
            • Shark Attractant Project
            • Shark Attractant Project- Assumptions
            • Pro Forma Income Statement
            • Where is the Interest Expense
            • Pro Forma Balance Sheet
            • Shark Attractant Project- Assumptions
            • Projected Capital Requirements
            • Evaluating a Proposed Investment
            • Cash Flow - Definitions
            • Pro Forma Income Statement
            • Operating Cash Flow
            • Projected Total Cash Flows
            • Shark Attractant Project ndash Cash Flows
            • Evaluating a Proposed Investment
            • Estimate Project Value
            • Making the Decision
            • Shark Attractant Project
            • Question
            • Question
            • Pro Forma Income Statement
            • Operating Cash Flow
            • Depreciation Tax Shield
            • The Tax Shield Approach to OCF
            • Pro Forma Income Statement
            • The Tax Shield Approach to OCF
            • Question
            • Slide Number 70
            • Intro to Evaluating NPV
            • NPV Decision Rule
            • Risk with NPV Analysis
            • NPV ndash Forecasting Risk
            • Tools to Evaluate NPV Analysis
            • Understanding Sources of Value
            • Scenario and Sensitivity Analysis
            • Slide Number 78
            • Scenario Analysis
            • Scenario Analysis Example
            • Scenario Analysis Example
            • Problems with Scenario Analysis
            • Sensitivity Analysis
            • Sensitivity Analysis Unit Sales
            • Sensitivity Analysis Fixed Costs
            • Sensitivity Analysis
            • Disadvantages of Sensitivity and Scenario Analysis
            • Question
              Pro Forma Income Statements
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC(20000)20000
              Net Capital Spending(90000)
              Cash Flow From Assets(110000)517805178071780
              Net Present Value$1064769
              IRR2576
              -30-20-100102030
              UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
              FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
              Sensitivity Analysis
              -30-20-100102030-30-20-100102030
              BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
              Units60004200480054006000660072007800Units60006000600060006000600060006000
              Priceunit$ 8080808080808080Priceunit$ 8080808080808080
              Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
              Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
              Initial investment$ 200000Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000Deprecyr$ 40000
              Tax rate34Tax rate34
              Required Return12Required Return12
              BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
              Units60004200480054006000660072007800Units60006000600060006000600060006000
              Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
              Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
              Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
              Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
              Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
              Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
              Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
              EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
              Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
              Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
              + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
              TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
              NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
              Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
              Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
              SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
              INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
              Sensitivity Ratio = ( Change in NPV) Change in Variable
              Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
              Negative = Inverse relationshipPositive = Direct relationship
              Negative = Inverse relationship
              $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
              5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              5980069700664006310059800565005320049900
              PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
              NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
              NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
              Sensitivity Analysis
              BaseUnitsUnitsFixed CostFixed Cost
              Units60005500650060006000
              Priceunit$ 8080808080
              Variable costunit$ 6060606060UNITS
              Fixed costyear$ 5000050000500005500045000X550060006500
              Y$ (8226)$ 15566$ 39357
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Tax rate34
              Required Return12
              BASEUNITSUNITSFCFC
              Units60005500650060006000
              Priceunit$ 80$ 80$ 80$ 80$ 80
              Variable costunit$ 60$ 60$ 60$ 60$ 60
              Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
              Sales$ 480000$ 440000$ 520000$ 480000$ 480000
              Variable Cost360000330000390000360000360000
              Fixed Cost5000050000500005500045000
              Depreciation4000040000400004000040000
              EBIT3000020000400002500035000
              Taxes10200680013600850011900
              Net Income1980013200264001650023100
              + Deprec4000040000400004000040000
              TOTAL CF5980053200664005650063100
              NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
              FC
              $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)X$ 45000$ 50000$ 55000
              5980053200664005650063100Y$ 27461$ 15566$ 3670
              5980053200664005650063100
              5980053200664005650063100
              5980053200664005650063100
              5980053200664005650063100
              PV$ 215566$ 191774$ 239357$ 203670$ 227461
              NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
              Scenario Analysis
              BaseLowerUpper
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 5800$ 6200
              Fixed costyear$ 50000$ 45000$ 55000
              BASEBESTWORST
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Project Life5years
              Tax rate34
              Required return12
              BASEWORSTBEST
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 6200$ 5800
              Fixed Cost$ 50000$ 55000$ 45000
              Sales$ 480000$ 412500$ 552500
              Variable Cost360000341000377000
              Fixed Cost500005500045000
              Depreciation400004000040000
              EBIT30000(23500)90500
              Taxes10200(7990)30770
              Net Income19800(15510)59730
              + Deprec400004000040000
              TOTAL CF598002449099730
              NPV15566(111719)159504
              IRR151-144409
              NOTENote in WORST CASE tax credit for negative earnings
              $ (200000)$ (200000)$ (200000)
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              PV$215566$88281$359504
              NPV15566(111719)159504
              Majestic Mulch and Compost Company (MMCC)
              YEAR012345678
              Background Data
              Unit Sales Estimates30005000600065006000500040003000
              Variable Cost unit$ 6000
              Fixed Costs per year$ 2500000
              Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
              Tax Rate340
              Required Return on Project150
              Yr 0 NWC$ 2000000
              NWC of sales15
              Equipment cost - installed$ 800000
              Salvage Value in year 820of equipment cost
              Depreciation Calculations
              Equipment Depreciable Base800000
              MACRS (Eqpt-7 yr)1429244917491249892893893446
              Recovery Allowance1143201959201399209992071360714407144035680
              Book Value685680489760349840249920178560107120356800
              After-Tax Salvage Value
              Salvage Value20160000
              Book Value (Year 8)0
              Capital GainLoss160000
              Taxes54400
              Net SV (SV-Taxes)105600
              Required Net Working Capital Investment
              20000540009000010800010725099000825006600049500
              YEAR012345678
              Initial Investment
              Equipment Cost(800000)
              Sales360000600000720000715000660000550000440000330000
              Variable Costs180000300000360000390000360000300000240000180000
              Fixed Costs2500025000250002500025000250002500025000
              Depreciation (Eqpt))1143201959201399209992071360714407144035680
              EBT406807908019508020008020364015356010356089320
              Taxes1383126887663276802769238522103521030369
              Net Operating Income26849521931287531320531344021013506835058951
              Add back Depreciation1143201959201399209992071360714407144035680
              CASH FLOW from Operations14116924811326867323197320576217279013979094631
              NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
              Salvage Value105600
              TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
              Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
              Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
              NPV$65483
              IRR1724
              Payback408
              Depreciation5-year Asset
              YearBeg BVDeprDeprecEnd BV
              1$ 12000002000$ 240000$ 960000
              2$ 9600003200$ 384000$ 576000
              3$ 5760001920$ 230400$ 345600
              4$ 3456001152$ 138240$ 207360
              5$ 2073601152$ 138240$ 69120
              6$ 69120576$ 69120$ - 0
              10000$ 1200000
              EOY 5$3000$221501$78499
              EOY 2$4000$459840($59840)
              Pro Forma Income Statement
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC-2000020000
              Net Capital Spending-90000
              Cash Flow From Assets-110000517805178071780
              Net Present Value$1064769
              IRR2576
              45000
              50000
              55000
              Pro Forma Income Statements
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC(20000)20000
              Net Capital Spending(90000)
              Cash Flow From Assets(110000)517805178071780
              Net Present Value$1064769
              IRR2576
              -30-20-100102030
              UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
              FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
              Sensitivity Analysis
              -30-20-100102030-30-20-100102030
              BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
              Units60004200480054006000660072007800Units60006000600060006000600060006000
              Priceunit$ 8080808080808080Priceunit$ 8080808080808080
              Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
              Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
              Initial investment$ 200000Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000Deprecyr$ 40000
              Tax rate34Tax rate34
              Required Return12Required Return12
              BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
              Units60004200480054006000660072007800Units60006000600060006000600060006000
              Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
              Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
              Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
              Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
              Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
              Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
              Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
              EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
              Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
              Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
              + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
              TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
              NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
              Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
              Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
              SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
              INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
              Sensitivity Ratio = ( Change in NPV) Change in Variable
              Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
              Negative = Inverse relationshipPositive = Direct relationship
              Negative = Inverse relationship
              $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
              5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              5980069700664006310059800565005320049900
              PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
              NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
              NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
              Sensitivity Analysis
              BaseUnitsUnitsFixed CostFixed Cost
              Units60005500650060006000
              Priceunit$ 8080808080
              Variable costunit$ 6060606060UNITS
              Fixed costyear$ 5000050000500005500045000X550060006500
              Y$ (8226)$ 15566$ 39357
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Tax rate34
              Required Return12
              BASEUNITSUNITSFCFC
              Units60005500650060006000
              Priceunit$ 80$ 80$ 80$ 80$ 80
              Variable costunit$ 60$ 60$ 60$ 60$ 60
              Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
              Sales$ 480000$ 440000$ 520000$ 480000$ 480000
              Variable Cost360000330000390000360000360000
              Fixed Cost5000050000500005500045000
              Depreciation4000040000400004000040000
              EBIT3000020000400002500035000
              Taxes10200680013600850011900
              Net Income1980013200264001650023100
              + Deprec4000040000400004000040000
              TOTAL CF5980053200664005650063100
              NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
              FC
              $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)X$ 45000$ 50000$ 55000
              5980053200664005650063100Y$ 27461$ 15566$ 3670
              5980053200664005650063100
              5980053200664005650063100
              5980053200664005650063100
              5980053200664005650063100
              PV$ 215566$ 191774$ 239357$ 203670$ 227461
              NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
              Scenario Analysis
              BaseLowerUpper
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 5800$ 6200
              Fixed costyear$ 50000$ 45000$ 55000
              BASEBESTWORST
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Project Life5years
              Tax rate34
              Required return12
              BASEWORSTBEST
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 6200$ 5800
              Fixed Cost$ 50000$ 55000$ 45000
              Sales$ 480000$ 412500$ 552500
              Variable Cost360000341000377000
              Fixed Cost500005500045000
              Depreciation400004000040000
              EBIT30000(23500)90500
              Taxes10200(7990)30770
              Net Income19800(15510)59730
              + Deprec400004000040000
              TOTAL CF598002449099730
              NPV15566(111719)159504
              IRR151-144409
              NOTENote in WORST CASE tax credit for negative earnings
              $ (200000)$ (200000)$ (200000)
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              PV$215566$88281$359504
              NPV15566(111719)159504
              Majestic Mulch and Compost Company (MMCC)
              YEAR012345678
              Background Data
              Unit Sales Estimates30005000600065006000500040003000
              Variable Cost unit$ 6000
              Fixed Costs per year$ 2500000
              Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
              Tax Rate340
              Required Return on Project150
              Yr 0 NWC$ 2000000
              NWC of sales15
              Equipment cost - installed$ 800000
              Salvage Value in year 820of equipment cost
              Depreciation Calculations
              Equipment Depreciable Base800000
              MACRS (Eqpt-7 yr)1429244917491249892893893446
              Recovery Allowance1143201959201399209992071360714407144035680
              Book Value685680489760349840249920178560107120356800
              After-Tax Salvage Value
              Salvage Value20160000
              Book Value (Year 8)0
              Capital GainLoss160000
              Taxes54400
              Net SV (SV-Taxes)105600
              Required Net Working Capital Investment
              20000540009000010800010725099000825006600049500
              YEAR012345678
              Initial Investment
              Equipment Cost(800000)
              Sales360000600000720000715000660000550000440000330000
              Variable Costs180000300000360000390000360000300000240000180000
              Fixed Costs2500025000250002500025000250002500025000
              Depreciation (Eqpt))1143201959201399209992071360714407144035680
              EBT406807908019508020008020364015356010356089320
              Taxes1383126887663276802769238522103521030369
              Net Operating Income26849521931287531320531344021013506835058951
              Add back Depreciation1143201959201399209992071360714407144035680
              CASH FLOW from Operations14116924811326867323197320576217279013979094631
              NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
              Salvage Value105600
              TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
              Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
              Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
              NPV$65483
              IRR1724
              Payback408
              Depreciation5-year Asset
              YearBeg BVDeprDeprecEnd BV
              1$ 12000002000$ 240000$ 960000
              2$ 9600003200$ 384000$ 576000
              3$ 5760001920$ 230400$ 345600
              4$ 3456001152$ 138240$ 207360
              5$ 2073601152$ 138240$ 69120
              6$ 69120576$ 69120$ - 0
              10000$ 1200000
              EOY 5$3000$221501$78499
              EOY 2$4000$459840($59840)
              Pro Forma Income Statement
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC-2000020000
              Net Capital Spending-90000
              Cash Flow From Assets-110000517805178071780
              Net Present Value$1064769
              IRR2576
              Pro Forma Income Statements
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC(20000)20000
              Net Capital Spending(90000)
              Cash Flow From Assets(110000)517805178071780
              Net Present Value$1064769
              IRR2576
              -30-20-100102030
              UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
              FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
              Sensitivity Analysis
              -30-20-100102030-30-20-100102030
              BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
              Units60004200480054006000660072007800Units60006000600060006000600060006000
              Priceunit$ 8080808080808080Priceunit$ 8080808080808080
              Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
              Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
              Initial investment$ 200000Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000Deprecyr$ 40000
              Tax rate34Tax rate34
              Required Return12Required Return12
              BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
              Units60004200480054006000660072007800Units60006000600060006000600060006000
              Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
              Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
              Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
              Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
              Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
              Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
              Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
              EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
              Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
              Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
              + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
              TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
              NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
              Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
              Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
              SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
              INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
              Sensitivity Ratio = ( Change in NPV) Change in Variable
              Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
              Negative = Inverse relationshipPositive = Direct relationship
              Negative = Inverse relationship
              $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
              5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              5980069700664006310059800565005320049900
              PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
              NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
              NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
              Sensitivity Analysis
              BaseUnitsUnitsFixed CostFixed Cost
              Units60005500650060006000
              Priceunit$ 8080808080
              Variable costunit$ 6060606060
              Fixed costyear$ 5000050000500005500045000X550060006500
              Y$ (8226)$ 15566$ 39357
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Tax rate34
              Required Return12
              BASEUNITSUNITSFCFC
              Units60005500650060006000
              Priceunit$ 80$ 80$ 80$ 80$ 80
              Variable costunit$ 60$ 60$ 60$ 60$ 60
              Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
              Sales$ 480000$ 440000$ 520000$ 480000$ 480000
              Variable Cost360000330000390000360000360000
              Fixed Cost5000050000500005500045000
              Depreciation4000040000400004000040000
              EBIT3000020000400002500035000
              Taxes10200680013600850011900
              Net Income1980013200264001650023100
              + Deprec4000040000400004000040000
              TOTAL CF5980053200664005650063100
              NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
              $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
              5980053200664005650063100
              5980053200664005650063100
              5980053200664005650063100
              5980053200664005650063100
              5980053200664005650063100
              PV$ 215566$ 191774$ 239357$ 203670$ 227461
              NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
              Scenario Analysis
              BaseLowerUpper
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 5800$ 6200
              Fixed costyear$ 50000$ 45000$ 55000
              BASEBESTWORST
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Project Life5years
              Tax rate34
              Required return12
              BASEWORSTBEST
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 6200$ 5800
              Fixed Cost$ 50000$ 55000$ 45000
              Sales$ 480000$ 412500$ 552500
              Variable Cost360000341000377000
              Fixed Cost500005500045000
              Depreciation400004000040000
              EBIT30000(23500)90500
              Taxes10200(7990)30770
              Net Income19800(15510)59730
              + Deprec400004000040000
              TOTAL CF598002449099730
              NPV15566(111719)159504
              IRR151-144409
              NOTENote in WORST CASE tax credit for negative earnings
              $ (200000)$ (200000)$ (200000)
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              PV$215566$88281$359504
              NPV15566(111719)159504
              Majestic Mulch and Compost Company (MMCC)
              YEAR012345678
              Background Data
              Unit Sales Estimates30005000600065006000500040003000
              Variable Cost unit$ 6000
              Fixed Costs per year$ 2500000
              Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
              Tax Rate340
              Required Return on Project150
              Yr 0 NWC$ 2000000
              NWC of sales15
              Equipment cost - installed$ 800000
              Salvage Value in year 820of equipment cost
              Depreciation Calculations
              Equipment Depreciable Base800000
              MACRS (Eqpt-7 yr)1429244917491249892893893446
              Recovery Allowance1143201959201399209992071360714407144035680
              Book Value685680489760349840249920178560107120356800
              After-Tax Salvage Value
              Salvage Value20160000
              Book Value (Year 8)0
              Capital GainLoss160000
              Taxes54400
              Net SV (SV-Taxes)105600
              Required Net Working Capital Investment
              20000540009000010800010725099000825006600049500
              YEAR012345678
              Initial Investment
              Equipment Cost(800000)
              Sales360000600000720000715000660000550000440000330000
              Variable Costs180000300000360000390000360000300000240000180000
              Fixed Costs2500025000250002500025000250002500025000
              Depreciation (Eqpt))1143201959201399209992071360714407144035680
              EBT406807908019508020008020364015356010356089320
              Taxes1383126887663276802769238522103521030369
              Net Operating Income26849521931287531320531344021013506835058951
              Add back Depreciation1143201959201399209992071360714407144035680
              CASH FLOW from Operations14116924811326867323197320576217279013979094631
              NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
              Salvage Value105600
              TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
              Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
              Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
              NPV$65483
              IRR1724
              Payback408
              Depreciation5-year Asset
              YearBeg BVDeprDeprecEnd BV
              1$ 12000002000$ 240000$ 960000
              2$ 9600003200$ 384000$ 576000
              3$ 5760001920$ 230400$ 345600
              4$ 3456001152$ 138240$ 207360
              5$ 2073601152$ 138240$ 69120
              6$ 69120576$ 69120$ - 0
              10000$ 1200000
              EOY 5$3000$221501$78499
              EOY 2$4000$459840($59840)
              Pro Forma Income Statement
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC-2000020000
              Net Capital Spending-90000
              Cash Flow From Assets-110000517805178071780
              Net Present Value$1064769
              IRR2576
              5500
              6000
              6500
              Pro Forma Income Statements
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC(20000)20000
              Net Capital Spending(90000)
              Cash Flow From Assets(110000)517805178071780
              Net Present Value$1064769
              IRR2576
              -30-20-100102030
              UNITS-70083865667486-415340381449136-129842106223412155656169002312441154444228038726652719453761101215099467949
              FC51252901303446839357139835708327461378367969815565616900231236698554324927-82259060352458-201216675029843
              Sensitivity Analysis
              -30-20-100102030-30-20-100102030
              BaseUnitsUnitsUnitsUnitsUnitsUnitsUnitsBaseFixed CostFixed CostFixed CostFixed CostFixed CostFixed CostFixed Cost
              Units60004200480054006000660072007800Units60006000600060006000600060006000
              Priceunit$ 8080808080808080Priceunit$ 8080808080808080
              Variable costunit$ 6060606060606060Variable costunit$ 6060606060606060
              Fixed costyear$ 5000050000500005000050000500005000050000Fixed costyear$ 5000035000400004500050000550006000065000
              Initial investment$ 200000Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 yearsDepreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000Deprecyr$ 40000
              Tax rate34Tax rate34
              Required Return12Required Return12
              BASEUNITSUNITSUNITSUNITSUNITSUNITSUNITSBASEFCFCFCFCFCFCFC
              Units60004200480054006000660072007800Units60006000600060006000600060006000
              Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80Priceunit$ 80$ 80$ 80$ 80$ 80$ 80$ 80$ 80
              Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60Variable costunit$ 60$ 60$ 60$ 60$ 60$ 60$ 60$ 60
              Fixed cost$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000$ 50000Fixed cost$ 50000$ 35000$ 40000$ 45000$ 50000$ 55000$ 60000$ 65000
              Sales$ 480000$ 336000$ 384000$ 432000$ 480000$ 528000$ 576000$ 624000Sales$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000$ 480000
              Variable Cost360000252000288000324000360000396000432000468000Variable Cost360000360000360000360000360000360000360000360000
              Fixed Cost5000050000500005000050000500005000050000Fixed Cost5000035000400004500050000550006000065000
              Depreciation4000040000400004000040000400004000040000Depreciation4000040000400004000040000400004000040000
              EBIT30000(6000)60001800030000420005400066000EBIT3000045000400003500030000250002000015000
              Taxes10200(2040)2040612010200142801836022440Taxes1020015300136001190010200850068005100
              Net Income19800(3960)39601188019800277203564043560Net Income198002970026400231001980016500132009900
              + Deprec4000040000400004000040000400004000040000+ Deprec4000040000400004000040000400004000040000
              TOTAL CF5980036040439605188059800677207564083560TOTAL CF5980069700664006310059800565005320049900
              NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
              Change in NPV-5502-3668-183400183436685502Change in NPV2293152876400-764-1528-2293
              Change in Variable-300-200-10000100200300Change in Variable-300-200-10000100200300
              SENSITIVITY RATIO183418341834000183418341834SENSITIVITY RATIO-764-764-764000-764-764-764
              INVERSEINVERSEINVERSEINVERSEINVERSEINVERSEINVERSE
              Sensitivity Ratio = ( Change in NPV) Change in Variable
              Positive = Direct relationshipSensitivity Ratio = ( Change in NPV) Change in Variable
              Negative = Inverse relationshipPositive = Direct relationship
              Negative = Inverse relationship
              $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
              5980036040439605188059800677207564083560$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              59800360404396051880598006772075640835605980069700664006310059800565005320049900
              5980069700664006310059800565005320049900
              PV$ 215566$ 129916$ 158466$ 187016$ 215566$ 244115$ 272665$ 301215
              NPV$ 15566$ (70084)$ (41534)$ (12984)$ 15566$ 44115$ 72665$ 101215PV$ 215566$ 251253$ 239357$ 227461$ 215566$ 203670$ 191774$ 179878
              NPV$ 15566$ 51253$ 39357$ 27461$ 15566$ 3670$ (8226)$ (20122)
              Sensitivity Analysis
              BaseUnitsUnitsFixed CostFixed Cost
              Units60005500650060006000
              Priceunit$ 8080808080
              Variable costunit$ 6060606060
              Fixed costyear$ 5000050000500005500045000
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Tax rate34
              Required Return12
              BASEUNITSUNITSFCFC
              Units60005500650060006000
              Priceunit$ 80$ 80$ 80$ 80$ 80
              Variable costunit$ 60$ 60$ 60$ 60$ 60
              Fixed cost$ 50000$ 50000$ 50000$ 55000$ 45000
              Sales$ 480000$ 440000$ 520000$ 480000$ 480000
              Variable Cost360000330000390000360000360000
              Fixed Cost5000050000500005500045000
              Depreciation4000040000400004000040000
              EBIT3000020000400002500035000
              Taxes10200680013600850011900
              Net Income1980013200264001650023100
              + Deprec4000040000400004000040000
              TOTAL CF5980053200664005650063100
              NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
              $ (200000)$ (200000)$ (200000)$ (200000)$ (200000)
              5980053200664005650063100
              5980053200664005650063100
              5980053200664005650063100
              5980053200664005650063100
              5980053200664005650063100
              PV$ 215566$ 191774$ 239357$ 203670$ 227461
              NPV$ 15566$ (8226)$ 39357$ 3670$ 27461
              Scenario Analysis
              BaseLowerUpper
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 5800$ 6200
              Fixed costyear$ 50000$ 45000$ 55000
              BASEBESTWORST
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Project Life5years
              Tax rate34
              Required return12
              BASEWORSTBEST
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 6200$ 5800
              Fixed Cost$ 50000$ 55000$ 45000
              Sales$ 480000$ 412500$ 552500
              Variable Cost360000341000377000
              Fixed Cost500005500045000
              Depreciation400004000040000
              EBIT30000(23500)90500
              Taxes10200(7990)30770
              Net Income19800(15510)59730
              + Deprec400004000040000
              TOTAL CF598002449099730
              NPV15566(111719)159504
              IRR151-144409
              NOTENote in WORST CASE tax credit for negative earnings
              $ (200000)$ (200000)$ (200000)
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              PV$215566$88281$359504
              NPV15566(111719)159504
              Majestic Mulch and Compost Company (MMCC)
              YEAR012345678
              Background Data
              Unit Sales Estimates30005000600065006000500040003000
              Variable Cost unit$ 6000
              Fixed Costs per year$ 2500000
              Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
              Tax Rate340
              Required Return on Project150
              Yr 0 NWC$ 2000000
              NWC of sales15
              Equipment cost - installed$ 800000
              Salvage Value in year 820of equipment cost
              Depreciation Calculations
              Equipment Depreciable Base800000
              MACRS (Eqpt-7 yr)1429244917491249892893893446
              Recovery Allowance1143201959201399209992071360714407144035680
              Book Value685680489760349840249920178560107120356800
              After-Tax Salvage Value
              Salvage Value20160000
              Book Value (Year 8)0
              Capital GainLoss160000
              Taxes54400
              Net SV (SV-Taxes)105600
              Required Net Working Capital Investment
              20000540009000010800010725099000825006600049500
              YEAR012345678
              Initial Investment
              Equipment Cost(800000)
              Sales360000600000720000715000660000550000440000330000
              Variable Costs180000300000360000390000360000300000240000180000
              Fixed Costs2500025000250002500025000250002500025000
              Depreciation (Eqpt))1143201959201399209992071360714407144035680
              EBT406807908019508020008020364015356010356089320
              Taxes1383126887663276802769238522103521030369
              Net Operating Income26849521931287531320531344021013506835058951
              Add back Depreciation1143201959201399209992071360714407144035680
              CASH FLOW from Operations14116924811326867323197320576217279013979094631
              NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
              Salvage Value105600
              TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
              Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
              Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
              NPV$65483
              IRR1724
              Payback408
              Depreciation5-year Asset
              YearBeg BVDeprDeprecEnd BV
              1$ 12000002000$ 240000$ 960000
              2$ 9600003200$ 384000$ 576000
              3$ 5760001920$ 230400$ 345600
              4$ 3456001152$ 138240$ 207360
              5$ 2073601152$ 138240$ 69120
              6$ 69120576$ 69120$ - 0
              10000$ 1200000
              EOY 5$3000$221501$78499
              EOY 2$4000$459840($59840)
              Pro Forma Income Statement
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC-2000020000
              Net Capital Spending-90000
              Cash Flow From Assets-110000517805178071780
              Net Present Value$1064769
              IRR2576
              Pro Forma Income Statements
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC(20000)20000
              Net Capital Spending(90000)
              Cash Flow From Assets(110000)517805178071780
              Net Present Value$1064769
              IRR2576
              Sensitivity Analysis
              BaseUnitsFixed Cost
              Units600055006000
              Priceunit$ 808080
              Variable costunit$ 606060
              Fixed costyear$ 500005000055000
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Tax rate34
              Required Return12
              BASEUNITSFC
              Units600055006000
              Priceunit$ 80$ 80$ 80
              Variable costunit$ 60$ 60$ 60
              Fixed cost$ 50000$ 50000$ 55000
              Sales$ 480000$ 440000$ 480000
              Variable Cost360000330000360000
              Fixed Cost500005000055000
              Depreciation400004000040000
              EBIT300002000025000
              Taxes1020068008500
              Net Income198001320016500
              + Deprec400004000040000
              TOTAL CF598005320056500
              NPV$ 15566$ (8226)$ 3670
              Change in NPV-1528-764
              Change in Variable-83100
              SENSITIVITY RATIO1834-764
              DIRECTINVERSE
              Sensitivity Ratio = ( Change in NPV) Change in Variable
              Positive = Direct relationship
              Negative = Inverse relationship
              $ (200000)$ (200000)$ (200000)
              598005320056500
              598005320056500
              598005320056500
              598005320056500
              598005320056500
              PV$ 215566$ 191774$ 203670
              NPV$ 15566$ (8226)$ 3670
              Scenario Analysis
              BaseLowerUpper
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 5800$ 6200
              Fixed costyear$ 50000$ 45000$ 55000
              BASEBESTWORST
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Project Life5years
              Tax rate34
              Required return12
              BASEWORSTBEST
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 6200$ 5800
              Fixed Cost$ 50000$ 55000$ 45000
              Sales$ 480000$ 412500$ 552500
              Variable Cost360000341000377000
              Fixed Cost500005500045000
              Depreciation400004000040000
              EBIT30000(23500)90500
              Taxes10200(7990)30770
              Net Income19800(15510)59730
              + Deprec400004000040000
              TOTAL CF598002449099730
              NPV15566(111719)159504
              IRR151-144409
              NOTENote in WORST CASE tax credit for negative earnings
              $ (200000)$ (200000)$ (200000)
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              PV$215566$88281$359504
              NPV15566(111719)159504
              Majestic Mulch and Compost Company (MMCC)
              YEAR012345678
              Background Data
              Unit Sales Estimates30005000600065006000500040003000
              Variable Cost unit$ 6000
              Fixed Costs per year$ 2500000
              Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
              Tax Rate340
              Required Return on Project150
              Yr 0 NWC$ 2000000
              NWC of sales15
              Equipment cost - installed$ 800000
              Salvage Value in year 820of equipment cost
              Depreciation Calculations
              Equipment Depreciable Base800000
              MACRS (Eqpt-7 yr)1429244917491249892893893446
              Recovery Allowance1143201959201399209992071360714407144035680
              Book Value685680489760349840249920178560107120356800
              After-Tax Salvage Value
              Salvage Value20160000
              Book Value (Year 8)0
              Capital GainLoss160000
              Taxes54400
              Net SV (SV-Taxes)105600
              Required Net Working Capital Investment
              20000540009000010800010725099000825006600049500
              YEAR012345678
              Initial Investment
              Equipment Cost(800000)
              Sales360000600000720000715000660000550000440000330000
              Variable Costs180000300000360000390000360000300000240000180000
              Fixed Costs2500025000250002500025000250002500025000
              Depreciation (Eqpt))1143201959201399209992071360714407144035680
              EBT406807908019508020008020364015356010356089320
              Taxes1383126887663276802769238522103521030369
              Net Operating Income26849521931287531320531344021013506835058951
              Add back Depreciation1143201959201399209992071360714407144035680
              CASH FLOW from Operations14116924811326867323197320576217279013979094631
              NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
              Salvage Value105600
              TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
              Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
              Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
              NPV$65483
              IRR1724
              Payback408
              Depreciation5-year Asset
              YearBeg BVDeprDeprecEnd BV
              1$ 12000002000$ 240000$ 960000
              2$ 9600003200$ 384000$ 576000
              3$ 5760001920$ 230400$ 345600
              4$ 3456001152$ 138240$ 207360
              5$ 2073601152$ 138240$ 69120
              6$ 69120576$ 69120$ - 0
              10000$ 1200000
              EOY 5$3000$221501$78499
              EOY 2$4000$459840($59840)
              Pro Forma Income Statement
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC-2000020000
              Net Capital Spending-90000
              Cash Flow From Assets-110000517805178071780
              Net Present Value$1064769
              IRR2576
              Pro Forma Income Statements
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC(20000)20000
              Net Capital Spending(90000)
              Cash Flow From Assets(110000)517805178071780
              Net Present Value$1064769
              IRR2576
              Sensitivity Analysis
              BaseUnitsFixed Cost
              Units600055006000
              Priceunit$ 808080
              Variable costunit$ 606060
              Fixed costyear$ 500005000055000
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Tax rate34
              Required Return12
              BASEUNITSFC
              Units600055006000
              Priceunit$ 80$ 80$ 80
              Variable costunit$ 60$ 60$ 60
              Fixed cost$ 50000$ 50000$ 55000
              Sales$ 480000$ 440000$ 480000
              Variable Cost360000330000360000
              Fixed Cost500005000055000
              Depreciation400004000040000
              EBIT300002000025000
              Taxes1020068008500
              Net Income198001320016500
              + Deprec400004000040000
              TOTAL CF598005320056500
              NPV$ 15566$ (8226)$ 3670
              Change in NPV-1528-764
              Change in Variable-83100
              SENSITIVITY RATIO1834-764
              DIRECTINVERSE
              Sensitivity Ratio = ( Change in NPV) Change in Variable
              Positive = Direct relationship
              Negative = Inverse relationship
              $ (200000)$ (200000)$ (200000)
              598005320056500
              598005320056500
              598005320056500
              598005320056500
              598005320056500
              PV$ 215566$ 191774$ 203670
              NPV$ 15566$ (8226)$ 3670
              Scenario Analysis
              BaseLowerUpper
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 5800$ 6200
              Fixed costyear$ 50000$ 45000$ 55000
              BASEBESTWORST
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Project Life5years
              Tax rate34
              Required return12
              BASEWORSTBEST
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 6200$ 5800
              Fixed Cost$ 50000$ 55000$ 45000
              Sales$ 480000$ 412500$ 552500
              Variable Cost360000341000377000
              Fixed Cost500005500045000
              Depreciation400004000040000
              EBIT30000(23500)90500
              Taxes10200(7990)30770
              Net Income19800(15510)59730
              + Deprec400004000040000
              TOTAL CF598002449099730
              NPV15566(111719)159504
              IRR151-144409
              NOTENote in WORST CASE tax credit for negative earnings
              $ (200000)$ (200000)$ (200000)
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              PV$215566$88281$359504
              NPV15566(111719)159504
              Majestic Mulch and Compost Company (MMCC)
              YEAR012345678
              Background Data
              Unit Sales Estimates30005000600065006000500040003000
              Variable Cost unit$ 6000
              Fixed Costs per year$ 2500000
              Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
              Tax Rate340
              Required Return on Project150
              Yr 0 NWC$ 2000000
              NWC of sales15
              Equipment cost - installed$ 800000
              Salvage Value in year 820of equipment cost
              Depreciation Calculations
              Equipment Depreciable Base800000
              MACRS (Eqpt-7 yr)1429244917491249892893893446
              Recovery Allowance1143201959201399209992071360714407144035680
              Book Value685680489760349840249920178560107120356800
              After-Tax Salvage Value
              Salvage Value20160000
              Book Value (Year 8)0
              Capital GainLoss160000
              Taxes54400
              Net SV (SV-Taxes)105600
              Required Net Working Capital Investment
              20000540009000010800010725099000825006600049500
              YEAR012345678
              Initial Investment
              Equipment Cost(800000)
              Sales360000600000720000715000660000550000440000330000
              Variable Costs180000300000360000390000360000300000240000180000
              Fixed Costs2500025000250002500025000250002500025000
              Depreciation (Eqpt))1143201959201399209992071360714407144035680
              EBT406807908019508020008020364015356010356089320
              Taxes1383126887663276802769238522103521030369
              Net Operating Income26849521931287531320531344021013506835058951
              Add back Depreciation1143201959201399209992071360714407144035680
              CASH FLOW from Operations14116924811326867323197320576217279013979094631
              NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
              Salvage Value105600
              TOTAL PROJECTED CF(820000)107169212113250673232723214012189290156290266231
              Discounted Cash Flows(820000)93190160388164821133060106402818355875587031
              Cumulative Cash flows(820000)(712831)(500718)(250046)(17323)196690385979542269808500
              NPV$65483
              IRR1724
              Payback408
              Depreciation5-year Asset
              YearBeg BVDeprDeprecEnd BV
              1$ 12000002000$ 240000$ 960000
              2$ 9600003200$ 384000$ 576000
              3$ 5760001920$ 230400$ 345600
              4$ 3456001152$ 138240$ 207360
              5$ 2073601152$ 138240$ 69120
              6$ 69120576$ 69120$ - 0
              10000$ 1200000
              EOY 5$3000$221501$78499
              EOY 2$4000$459840($59840)
              Pro Forma Income Statement
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC-2000020000
              Net Capital Spending-90000
              Cash Flow From Assets-110000517805178071780
              Net Present Value$1064769
              IRR2576
              Pro Forma Income Statements
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC(20000)20000
              Net Capital Spending(90000)
              Cash Flow From Assets(110000)517805178071780
              Net Present Value$1064769
              IRR2576
              Sensitivity Analysis
              BaseUnitsFixed Cost
              Units600055006000
              Priceunit$ 808080
              Variable costunit$ 606060
              Fixed costyear$ 500005000055000
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Tax rate34
              Required Return12
              BASEUNITSFC
              Units600055006000
              Priceunit$ 80$ 80$ 80
              Variable costunit$ 60$ 60$ 60
              Fixed cost$ 50000$ 50000$ 55000
              Sales$ 480000$ 440000$ 480000
              Variable Cost360000330000360000
              Fixed Cost500005000055000
              Depreciation400004000040000
              EBIT300002000025000
              Taxes1020068008500
              Net Income198001320016500
              + Deprec400004000040000
              TOTAL CF598005320056500
              NPV$ 15566$ (8226)$ 3670
              Change in NPV-1528-764
              Change in Variable-83100
              SENSITIVITY RATIO1834-764
              DIRECTINVERSE
              Sensitivity Ratio = ( Change in NPV) Change in Variable
              Positive = Direct relationship
              Negative = Inverse relationship
              $ (200000)$ (200000)$ (200000)
              598005320056500
              598005320056500
              598005320056500
              598005320056500
              598005320056500
              PV$ 215566$ 191774$ 203670
              NPV$ 15566$ (8226)$ 3670
              Scenario Analysis
              BaseLowerUpper
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 5800$ 6200
              Fixed costyear$ 50000$ 45000$ 55000
              BASEBESTWORST
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Project Life5years
              Tax rate34
              Required return12
              BASEWORSTBEST
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 6200$ 5800
              Fixed Cost$ 50000$ 55000$ 45000
              Sales$ 480000$ 412500$ 552500
              Variable Cost360000341000377000
              Fixed Cost500005500045000
              Depreciation400004000040000
              EBIT30000(23500)90500
              Taxes10200(7990)30770
              Net Income19800(15510)59730
              + Deprec400004000040000
              TOTAL CF598002449099730
              NPV15566(111719)159504
              IRR151-144409
              NOTENote in WORST CASE tax credit for negative earnings
              $ (200000)$ (200000)$ (200000)
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              PV$215566$88281$359504
              NPV15566(111719)159504
              Majestic Mulch and Compost Company (MMCC)
              YEAR012345678
              Background Data
              Unit Sales Estimates30005000600065006000500040003000
              Variable Cost unit$ 6000
              Fixed Costs per year$ 2500000
              Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
              Tax Rate340
              Required Return on Project150
              Yr 0 NWC$ 2000000
              NWC of sales15
              Equipment cost - installed$ 800000
              Salvage Value in year 820of equipment cost
              Depreciation Calculations
              Equipment Depreciable Base800000
              MACRS (Eqpt-7 yr)1429244917491249893893893445
              Recovery Allowance1143201959201399209992071440714407144035600
              Book Value685680489760349840249920178480107040356000
              After-Tax Salvage Value
              Salvage Value20160000
              Book Value (Year 8)0
              Capital GainLoss160000
              Taxes54400
              Net SV (SV-Taxes)105600
              Required Net Working Capital Investment
              20000540009000010800010725099000825006600049500
              YEAR012345678
              Initial Investment
              Equipment Cost(800000)
              Sales360000600000720000715000660000550000440000330000
              Variable Costs180000300000360000390000360000300000240000180000
              Fixed Costs2500025000250002500025000250002500025000
              Depreciation (Eqpt))1143201959201399209992071440714407144035600
              EBT406807908019508020008020356015356010356089400
              Taxes1383126887663276802769210522103521030396
              Net Operating Income26849521931287531320531343501013506835059004
              Add back Depreciation1143201959201399209992071440714407144035600
              CASH FLOW from Operations14116924811326867323197320579017279013979094604
              NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
              Salvage Value105600
              TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
              Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
              NPV$ 65488
              IRR1724
              Depreciation5-year Asset
              YearBeg BVDeprDeprecEnd BV
              1$ 12000002000$ 240000$ 960000
              2$ 9600003200$ 384000$ 576000
              3$ 5760001920$ 230400$ 345600
              4$ 3456001152$ 138240$ 207360
              5$ 2073601152$ 138240$ 69120
              6$ 69120576$ 69120$ - 0
              10000$ 1200000
              EOY 5$3000$221501$78499
              EOY 2$4000$459840($59840)
              Pro Forma Income Statement
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC-2000020000
              Net Capital Spending-90000
              Cash Flow From Assets-110000517805178071780
              Net Present Value$1064769
              IRR2576
              Pro Forma Income Statements
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC(20000)20000
              Net Capital Spending(90000)
              Cash Flow From Assets(110000)517805178071780
              Net Present Value$1064769
              IRR2576
              Sensitivity Analysis
              BaseUnitsFixed Cost
              Units600055006000
              Priceunit$ 808080
              Variable costunit$ 606060
              Fixed costyear$ 500005000055000
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Tax rate34
              Required Return12
              BASEUNITSFC
              Units600055006000
              Priceunit$ 80$ 80$ 80
              Variable costunit$ 60$ 60$ 60
              Fixed cost$ 50000$ 50000$ 55000
              Sales$ 480000$ 440000$ 480000
              Variable Cost360000330000360000
              Fixed Cost500005000055000
              Depreciation400004000040000
              EBIT300002000025000
              Taxes1020068008500
              Net Income198001320016500
              + Deprec400004000040000
              TOTAL CF598005320056500
              NPV$ 15566$ (8226)$ 3670
              Change in NPV-1528-764
              Change in Variable-83100
              SENSITIVITY RATIO1834-764
              DIRECTINVERSE
              Sensitivity Ratio = ( Change in NPV) Change in Variable
              Positive = Direct relationship
              Negative = Inverse relationship
              $ (200000)$ (200000)$ (200000)
              598005320056500
              598005320056500
              598005320056500
              598005320056500
              598005320056500
              PV$ 215566$ 191774$ 203670
              NPV$ 15566$ (8226)$ 3670
              Scenario Analysis
              BaseLowerUpper
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 5800$ 6200
              Fixed costyear$ 50000$ 45000$ 55000
              BASEBESTWORST
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Project Life5years
              Tax rate34
              Required return12
              BASEWORSTBEST
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 6200$ 5800
              Fixed Cost$ 50000$ 55000$ 45000
              Sales$ 480000$ 412500$ 552500
              Variable Cost360000341000377000
              Fixed Cost500005500045000
              Depreciation400004000040000
              EBIT30000(23500)90500
              Taxes10200(7990)30770
              Net Income19800(15510)59730
              + Deprec400004000040000
              TOTAL CF598002449099730
              NPV15566(111719)159504
              IRR151-144409
              NOTENote in WORST CASE tax credit for negative earnings
              $ (200000)$ (200000)$ (200000)
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              PV$215566$88281$359504
              NPV15566(111719)159504
              Majestic Mulch and Compost Company (MMCC)
              YEAR012345678
              Background Data
              Unit Sales Estimates30005000600065006000500040003000
              Variable Cost unit$ 6000
              Fixed Costs per year$ 2500000
              Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
              Tax Rate340
              Required Return on Project150
              Yr 0 NWC$ 2000000
              NWC of sales15
              Equipment cost - installed$ 800000
              Salvage Value in year 820of equipment cost
              Depreciation Calculations
              Equipment Depreciable Base800000
              MACRS (Eqpt-7 yr)1429244917491249893893893445
              Recovery Allowance1143201959201399209992071440714407144035600
              Book Value685680489760349840249920178480107040356000
              After-Tax Salvage Value
              Salvage Value20160000
              Book Value (Year 8)0
              Capital GainLoss160000
              Taxes54400
              Net SV (SV-Taxes)105600
              Required Net Working Capital Investment
              20000540009000010800010725099000825006600049500
              YEAR012345678
              Initial Investment
              Equipment Cost(800000)
              Sales360000600000720000715000660000550000440000330000
              Variable Costs180000300000360000390000360000300000240000180000
              Fixed Costs2500025000250002500025000250002500025000
              Depreciation (Eqpt))1143201959201399209992071440714407144035600
              EBT406807908019508020008020356015356010356089400
              Taxes1383126887663276802769210522103521030396
              Net Operating Income26849521931287531320531343501013506835059004
              Add back Depreciation1143201959201399209992071440714407144035600
              CASH FLOW from Operations14116924811326867323197320579017279013979094604
              NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
              Salvage Value105600
              TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
              Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
              NPV$ 65488
              IRR1724
              Depreciation5-year Asset
              YearBeg BVDeprDeprecEnd BV
              1$ 12000002000$ 240000$ 960000
              2$ 9600003200$ 384000$ 576000
              3$ 5760001920$ 230400$ 345600
              4$ 3456001152$ 138240$ 207360
              5$ 2073601152$ 138240$ 69120
              6$ 69120576$ 69120$ - 0
              10000$ 1200000
              EOY 5$3000$221501$78499
              EOY 2$4000$459840($59840)
              Pro Forma Income Statement
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC-2000020000
              Net Capital Spending-90000
              Cash Flow From Assets-110000517805178071780
              Net Present Value$1064769
              IRR2576
              Pro Forma Income Statements
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC(20000)20000
              Net Capital Spending(90000)
              Cash Flow From Assets(110000)517805178071780
              Net Present Value$1064769
              IRR2576
              Sensitivity Analysis
              BaseUnitsFixed Cost
              Units600055006000
              Priceunit$ 808080
              Variable costunit$ 606060
              Fixed costyear$ 500005000055000
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Tax rate34
              Required Return12
              BASEUNITSFC
              Units600055006000
              Priceunit$ 80$ 80$ 80
              Variable costunit$ 60$ 60$ 60
              Fixed cost$ 50000$ 50000$ 55000
              Sales$ 480000$ 440000$ 480000
              Variable Cost360000330000360000
              Fixed Cost500005000055000
              Depreciation400004000040000
              EBIT300002000025000
              Taxes1020068008500
              Net Income198001320016500
              + Deprec400004000040000
              TOTAL CF598005320056500
              NPV$ 15566$ (8226)$ 3670
              Change in NPV-1528-764
              Change in Variable-83100
              SENSITIVITY RATIO1834-764
              DIRECTINVERSE
              Sensitivity Ratio = ( Change in NPV) Change in Variable
              Positive = Direct relationship
              Negative = Inverse relationship
              $ (200000)$ (200000)$ (200000)
              598005320056500
              598005320056500
              598005320056500
              598005320056500
              598005320056500
              PV$ 215566$ 191774$ 203670
              NPV$ 15566$ (8226)$ 3670
              Scenario Analysis
              BaseLowerUpper
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 5800$ 6200
              Fixed costyear$ 50000$ 45000$ 55000
              BASEBESTWORST
              Initial investment$ 200000
              Depreciated to salvage value of 0 over 5 years
              Deprecyr$ 40000
              Project Life5years
              Tax rate34
              Required return12
              BASEWORSTBEST
              Units600055006500
              Priceunit$ 8000$ 7500$ 8500
              Variable costunit$ 6000$ 6200$ 5800
              Fixed Cost$ 50000$ 55000$ 45000
              Sales$ 480000$ 412500$ 552500
              Variable Cost360000341000377000
              Fixed Cost500005500045000
              Depreciation400004000040000
              EBIT30000(23500)90500
              Taxes10200(7990)30770
              Net Income19800(15510)59730
              + Deprec400004000040000
              TOTAL CF598002449099730
              NPV15566(111719)159504
              IRR151-144409
              NOTENote in WORST CASE tax credit for negative earnings
              $ (200000)$ (200000)$ (200000)
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              598002449099730
              PV$215566$88281$359504
              NPV15566(111719)159504
              Majestic Mulch and Compost Company (MMCC)
              YEAR012345678
              Background Data
              Unit Sales Estimates30005000600065006000500040003000
              Variable Cost unit$ 6000
              Fixed Costs per year$ 2500000
              Sale Price per unit$ 12000$ 12000$ 12000$ 12000$ 11000$ 11000$ 11000$ 11000$ 11000
              Tax Rate340
              Required Return on Project150
              Yr 0 NWC$ 2000000
              NWC of sales15
              Equipment cost - installed$ 800000
              Salvage Value in year 820of equipment cost
              Depreciation Calculations
              Equipment Depreciable Base800000
              MACRS (Eqpt-7 yr)1429244917491249893893893445
              Recovery Allowance1143201959201399209992071440714407144035600
              Book Value685680489760349840249920178480107040356000
              After-Tax Salvage Value
              Salvage Value20160000
              Book Value (Year 8)0
              Capital GainLoss160000
              Taxes54400
              Net SV (SV-Taxes)105600
              Required Net Working Capital Investment
              20000540009000010800010725099000825006600049500
              YEAR012345678
              Initial Investment
              Equipment Cost(800000)
              Sales360000600000720000715000660000550000440000330000
              Variable Costs180000300000360000390000360000300000240000180000
              Fixed Costs2500025000250002500025000250002500025000
              Depreciation (Eqpt))1143201959201399209992071440714407144035600
              EBT406807908019508020008020356015356010356089400
              Taxes1383126887663276802769210522103521030396
              Net Operating Income26849521931287531320531343501013506835059004
              Add back Depreciation1143201959201399209992071440714407144035600
              CASH FLOW from Operations14116924811326867323197320579017279013979094604
              NWC investment amp Recovery(20000)(34000)(36000)(18000)7508250165001650066000
              Salvage Value105600
              TOTAL PROJECTED CF(820000)107169212113250673232723214040189290156290266204
              Discounted Cash Flows(820000)93190160388164821133060106416818355875587023
              NPV$ 65488
              IRR1724
              Depreciation5-year Asset
              YearBeg BVDeprDeprecEnd BV
              1$ 12000002000$ 240000$ 960000
              2$ 9600003200$ 384000$ 576000
              3$ 5760001920$ 230400$ 345600
              4$ 3456001152$ 138240$ 207360
              5$ 2073601152$ 138240$ 69120
              6$ 69120576$ 69120$ - 0
              10000$ 1200000
              EOY 5$3000$221501$78499
              EOY 2$4000$459840($59840)
              Pro Forma Income Statement
              Year0123
              Sales200000200000200000
              Variable Costs125000125000125000
              Gross Profit750007500075000
              Fixed Costs120001200012000
              Depreciation300003000030000
              EBIT330003300033000
              Taxes112201122011220
              Net Income217802178021780
              Cash Flows
              Operating Cash Flow517805178051780
              Changes in NWC-2000020000
              Net Capital Spending-90000
              Cash Flow From Assets-110000517805178071780
              Net Present Value$1064769
              IRR2576
              Depreciation5-year Asset
              YearBeg BVDeprDeprecEnd BV
              1$ 12000002000$ 240000$ 960000
              2$ 9600003200$ 384000$ 576000
              3$ 5760001920$ 230400$ 345600
              4$ 3456001152$ 138240$ 207360
              5$ 2073601152$ 138240$ 69120
              6$ 69120576$ 69120$ - 0
              10000$ 1200000
              Depreciation5-year Asset
              YearBeg BVDeprDeprecEnd BV
              1$ 12000002000$ 240000$ 960000
              2$ 9600003200$ 384000$ 576000
              3$ 5760001920$ 230400$ 345600
              4$ 3456001152$ 138240$ 207360
              5$ 2073601152$ 138240$ 69120
              6$ 69120576$ 69120$ - 0
              10000$ 1200000

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