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Corporate Finance
Investment management
Dr. Markus R. NeuhausPatrick Schwendener, CFA
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Corporate Finance: Course overview
18.09. Fundamentals (4 hours) M. Neuhaus & M.Schmidli
25.09 Investment Management M. Neuhaus & P. Schwendener
02.10. Investment Management M. Neuhaus & M. Bucher
09.10. No Lecture No Lecture
16.10. Value Management M. Neuhaus, R. Schmid & F. Monti 23.10. No Lecture No Lecture 30.10. No Lecture No Lecture
06.11. No lecture No Lecture
13.11. Mergers & Acquisitions I&II (4 hours) M. Neuhaus & D. Villiger
20.11 Tax and Corporate Finance (4 hours) Markus Neuhaus
27.11. Legal Aspects R. Watter
04.12. Financial Reporting M. Neuhaus & M. Jeger
11.12. Turnaround Management M. Neuhaus & Markus Koch
18.12. Summary, repetition M. Neuhaus
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Markus R. Neuhaus
PricewaterhouseCoopers AG, ZrichPWC
Phone: +41 58 792 4000Email: [email protected]
Grade CEO
Qualification Doctor of Law (University of Zurich), Certified Tax Expert
Career Development Joined PwC in 1985 and became Partner in 1992.
Subject-related Exp. Corporate Tax
Mergers + Acquisitions
Lecturing SFIT: Corporate Finance, University of St. Gallen: Tax Law
Multiple speeches on leadership, business, governance, commercial
and tax law Published Literature Author of commentary on the Swiss accounting rules
Publisher of book on transfer pricingAuthor of multiple articles on tax and commercial law, M+A,IPO, etc.
Other professional roles: Member of the board of conomiesuisse, member of the boardand chairman of the tax chapter of the Swiss Institute of
Certified Accountants and Tax Consultants
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Patrick Schwendener
PricewaterhouseCoopers AG, ZrichPWC
Phone: +41 58 792 15 08Email: [email protected]
Grade Advisory Manager
Qualification lic. oec. HSG, CFA
Career Development Corporate Finance PricewaterhouseCoopers sinceOctober 2004
Subject-related Exp. Various projects in the field of valuation Lecturing Treuhandkammer - Business valuations using DCF technique
KV Zurich Business School - Capital budgeting
Published Literature Several articles on valuation topics
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Contents
Learning targets
Pre-course reading
Lecture Investment management
Case study
Solution to case study
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Learning targets
Know the discipline of investment management and its relevant stakeholders andunderstand their contributions and responsibilities
Understand the strategic importance of investing and the various types of investments
Distinguish between static and dynamic methods and know the characteristics of thevarious analysis methods in each category and their similarities
Know when to apply which methods and be able to make a qualified judgment whetheran investment opportunity should be undertaken or not
Know potential limitations and shortcomings of quantitative capital budgeting methods
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Contents
Learning targets
Pre-course reading
Lecture Investment management
Case study
Solution to case study
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Pre-course reading
Books
Mandatory reading
Brealey, Myers, Allen (2008): chapter 2 (pp.13 - 23)
Brealey, Myers, Allen (2008): chapter 6 (pp.115 - 135) Optional reading
Brealey, Myers, Allen (2008): chapter 3 (pp.35 - 58)
Brealey, Myers, Allen (2008): chapter 7 (pp.142 - 161)
Volkart (2008): chapter 4 (pp. 296 - 306)
Presentation slides
Structure of lecture (pp. 1 - 11)
Case study (pp. 46 - 59)
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Contents
Learning targets
Pre-course reading
Lecture Investment management
Case study
Solution to case study
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Agenda (1/2)
1. Introduction
Investment process
Nature of investment opportunities
Need for investment management Overview of capital budgeting methods
2. Static methods
Static methods
Cost and profit comparison method
Simple payback period method
Average rate of return method (Return on investment method)
Conclusion on static methods
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Agenda (2/2)
3. Dynamic methods
Compounding and discounting
Opportunity cost of capital
Dynamic methods Net present value method (NPV)
Internal rate of return method (IRR)
Dynamic payback period method
Annuity method
Conclusion on dynamic methods
4. Case study
Circuit AG
5. Solution to case study
6. Q&A and discussion
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Agenda: Introduction
Investment process
Nature of investment opportunities
Need for investment management
Overview of capital budgeting methods
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Investment process (1/2)
Shareholders prefer to be rich rather than poor. Therefore, they want the firm to investavailable cash in every project that is worth more than it costs (circle of cash)
If the firm is perceived to fall short of that goal, shareholders prefer to invest their capitalthemselves more profitably outside the company on their own
Investment
opportunities Firm Shareholders
Investment
opportunities
Cash
Option 2:The firm pays dividendto its shareholders
Option 1:The firm makes
investment decision
Source: Brealy, Myers, Allen (2008), p. 117.
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Investment process (2/2)
Most organisations have developed special procedures and methods for dealing withinvestment management, involving
the formulation of long-term goals as part of the overall strategy process
the search for and identification of new investment opportunities
the estimation and forecasting of relevant parameters
the development of decision rules
the controlling and monitoring of investment projects
Consequently, investment management has many different stakeholder groups. Forinstance, engineering manpower is indispensable as it
helps translate technical talk into financial talk
provides relevant data for financial models
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Nature of investment opportunities (2/2)
In practice, capital investments can be grouped using various characteristics
By categories of investment projects (not exhaustive):
New investments
Expansion investments Replacement investments
Productivity investments
Infrastructure investments
By degree of dependence:
Mutually exclusive investments
Complementary investments
Substitute investments
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Need for investment management
Capital investments can be huge and have a significant impact on the future financialperformance and the value of the firm
When analyzing capital investment opportunities, companies are usually confronted witha series of challenges
Limited capital resources
Limited predictability of relevant data
Relevant data partly insufficiently quantifiable
The tools and methods of investment management help overcome the complexity ofinvesting by providing a sound basis for decision making
Investment
Financing
Profitability /excess return
Future valueof the firm
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Overview of capital budgeting methods
The term capital budgeting refers to a firms entire process of analyzing investment
opportunities and determining opportunities that are worth being pursued and realized
Several methods of analyzing investment opportunities have evolved which can bedivided into static and dynamic methods
Historically, static methods were developed first. Today, professionals typically makeuse of the dynamic methods and apply static methods as 'rules of thumb' at best
Static methods Dynamic methods
Cost comparison method
Profit comparison method
Simple payback period method
Average rate of return method(Return on investment method)
Net present value method (NPV)
Internal rate of return method (IRR)
Dynamic payback period method
Annuity method
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Agenda: Static methods
Static methods
Cost and profit comparison method
Simple payback period method
Average rate of return method (Return on investment method) Conclusion on static methods
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Cost and profit comparison method
Most easily understood methods
Analysis of average per year or average per produced unit if capacities are different
Cost comparison method: Choice of investment opportunity with lowest costs:
Cost comparison method = min (average annual costs) or min (average costs per unit) Profit comparison method: Choice of investment opportunity with highest profits:
Profit comparison method = max (average annual profit) or min (average profit per unit)
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Simple payback period method (1/2)
The simple payback period method (SPP) considers the initial investment and theresulting annual cash flows and tells the investor the time it takes to recover the initialinvestment
Decision rule: Accept an investment opportunity when its payback period is shorterthan the expected useful life, i.e. when total cumulative cash flows exceed the requiredinvestment
In case of uneven cash flows, cumulate actual annual cash flows Use return-flow-figure to compare investment opportunities with differing useful lives
(return-flow-figure = expected useful life / payback period)
Simple payback period = Required investmentAverage annual cash flow
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Simple payback period method (2/2)
Example 1: Even cash flow pattern
Investment sum: 100
annual cash flow: 20
Expected useful life: 10 years
Accept project as payback < 10 years
Example 2: Uneven cash flow pattern (useful life: 5 years)
Accept project as payback < 5 years
YearNominal
cash flow
Cumulated
cash flow
0 (today) -100 -1001 30 -70
2 35 -35
3 35 0
4 40 40
5 40 80
SPP =Required investment
annual cash flow= 5 years
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Average rate of return method (Return on investment
method) (1/2) The average rate of return (ARR) or Return on investment (ROI) can be calculated by
dividing the benefit of an investment, i.e. earnings before interest payments, by theaverage capital tie-up
Decision rule: ARR is usually compared to some firm-specific threshold called hurdlerate, opportunity cost of capital, cost of capital or minimum rate of return. Projects withan ARR above the threshold should be realized
ARR is a popular metric due to its versatility (can be defined differently) and simplicity.The downside of this is that it is prone to manipulation
Practitioners often use ARR as a means of relative performance measurement
ARR is also known as return on investment, accounting rate of return or book rate ofreturn
ARR = Average profit + Average interest Capital tie-up (= Inv. capital)
= Earnings before interest Capital tie-up (= Inv. capital)
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Average rate of return method (Return on investment
method) (2/2) Example
Initial investment outlay: 300 Annual net profit: 30
Depreciation period (years): 10 Imputed interest rate: 10%
Liquidation value: 60 Hurdle rate: 15%
Accept project as ARR > 15%
ARR =Average profit + Average interest
Average capital tie-up=
30 + 18
180= 26.7%
interest = capital tie-up * Imputed interest rate = 180 * 10.0% = 18.0
capital tie-up =Initial outlay + Liquidation value
2=
300 + 60
2= 180
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Conclusion on static methods
Pros
Static methods are easy to understand
Time and effort for data collection is manageable
Cons
Static methods only consider "average periods"
Time value of money not considered
Potential risk of oversimplification
Use static methods as rules of thumb at best
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Agenda: Dynamic methods
Compounding and discounting
Opportunity cost of capital
Dynamic methods
Net present value method (NPV)
Internal rate of return method (IRR)
Dynamic payback period method
Annuity method
Conclusion on dynamic methods
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Compounding and discounting (1/3)
Time value of moneyInvestors prefer to receive a payment of a fixed amount of money today rather than theequal amount of money at a point of time in the future, all other circumstances beingequal. In other words, to forego the use of money today, investors must receive somecompensation in the future
Compounding interestDescribes the process of adding accumulated interest to the principal, so that interest isearned on interest from that moment on. In other words, it helps determine the futurevalue of a principal
Discounting interest
Describes the inverse process, i.e. finding the present value (today) of an amount ofcash at some future date. The future value is reduced by applying an appropriatediscount rate for each unit of time
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Compounding and discounting (2/3)
PV FV1 FV2 FV3
Compound
interest
t
Compounding:
FV3 = PV * (1+r)3
Discounting:
PV = FV3 *
General:
FVn = PV * (1+r)n
PV = FVn *
1
(1+r)n
1
(1+r)3
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Compounding and discounting (3/3)
Example applying an interest rate of 10%
Compounding and discounting are very sensitive to changes in the discount rate
YearNominal
cash flow
Compound
factor @ 10%
Compound
cash flow (FV)
Nominal
cash flow
Discount
factor @ 10%
Discounted
cash flow (PV)
1 100 1.611 161 100 0.909 912 100 1.464 146 100 0.826 83
3 100 1.331 133 100 0.751 75
4 100 1.210 121 100 0.683 68
5 100 1.100 110 100 0.621 62
Total 500.0 671.6 500.0 379.1
Compounding Discounting
YearNominal
cash flow
Compound
factor @ 15%
Compound
cash flow (FV)
Nominal
cash flow
Discount
factor @ 15%
Discounted
cash flow (PV)
Total 500.0 775.4 500.0 335.2
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Opportunity cost of capital (1/2)
The opportunity cost of capital for an investment project is the expected rate of returndemanded by investors in common stocks or other securities subject to the same risksas the project
Therefore, determining the opportunity cost of capital for an investment project involves
Searching for securities with identical risk profiles (perfect match) and
Determining the expected return of these securities
Discounting the investment project's expected cash flow at its opportunity cost of capitalwill result in the price that investors would be willing to pay for the project
In practice, it is usually difficult to find such securities. A companys weighted averagecost of capital (WACC) is often taken as a convenient approximation for the opportunity
cost of capital
Company WACC needs to be adjusted for projects whose risk profile is different fromcompany risk profile
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Opportunity cost of capital (2/2)
The riskier a project, the higher the return required by investors. Factors that need to beconsidered include:
Inflation
Entrepreneurial business risk
Industry / sector risk
Project-specific risks
Cheap debt financing will not lower the opportunity cost of capital of an investmentproject
The terms opportunity cost of capital, weighted average cost of capital, discount factor,hurdle rate are often used interchangeably
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Net present value method (1/3)
The net present value (NPV) is defined as the total present value of a time series offuture cash flows less an initially required investment
Decision rule: Accept investment opportunities offering a positive net present value
Required input parameters:
Required investment (C0)
Expected payoffs/cash flows (Ct)
Number of years (t)
Discount rate/hurdle rate/opportunity cost of capital (r)
t
1it
t0
r1
CCNPV
T
T2
21
10
r1
C
r1
C
r1
CCNPV
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C0
Net present value method (2/3)
PV
C1C2 C3
C4 Cnt
0 1 n32 4
NPV
Example: Discount rate 10%
Year 0 1 2 3 4 5 Total
Income 0 30 35 35 40 40 180
Capital investment -100 0 -100
Cash flow -100 30 35 35 40 40 80Discount factor 1.000 0.909 0.826 0.751 0.683 0.621
Discounted cash flow -100 27 29 26 27 25
Cum discounted cash flow -100 -73 -44 -18 10 35
NPV 35
C5
5
Some numbers are rounded.
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Cash flows pattern Flat Increasing Decreasing
Discount rate 10% 15% 10% 15% 10% 15%
NPV 36 21 35 18 38 23
Net present value method (3/3)
Sound estimation of discount rate and cash flows is crucial as NPV is very sensitive tothese parameters
Distribution and timing of the cash flows impact the NPV as more distant cash flows arediscounted to a greater extent than earlier cash flows
Among mutually exclusive projects the one with the highest NPV should be chosen
1 The following table shows the detailed cash flows underlying the three scenarios defined above.
Year 1 2 3 4 5 Total
Flat cash flows 36 36 36 36 36 180
Increasing cash flows 30 35 35 40 40 180
Decreasing cash flows 40 40 35 35 30 180
1
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Internal rate of return method (1/4)
The internal rate of return (IRR) is defined as the rate of return that makes the netpresent value equal to zero, i.e. the rate at which the present value of the expectedcash flows equals the required investment (or the NPV is zero after a defined number ofyears)
Decision rule: Accept investment opportunities offering rates of return in excess of theiropportunity cost of capital (hurdle rate)
Required input parameters: Required investment (C0)
Expected payoffs/cash flows (Ct)
Number of years (t)
0
IRR1
CCNPV
t
1it
t0
0
IRR1
C
IRR1
C
IRR1
CCNPV
TT
22
11
0
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Internal rate of return method (2/4)
=C0 PV
0
YearCash
flows22% PV 23% PV
0 -100 1.000 -100.0 1.000 -100.0
1 30 0.820 24.6 0.813 24.4
2 35 0.672 23.5 0.661 23.1
3 35 0.551 19.3 0.537 18.8
4 40 0.451 18.1 0.437 17.5
5 40 0.370 14.8 0.355 14.2
NPV 0.2 -2.0
Example: Interpolation of IRR
IRR = 22%+ 1% * (0.2/2.2)
= 22.1%
C1C2 C3
C4 Cnt
1 n32 4
C5
5
Discount rate = ?
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Internal rate of return method (3/4)
Provides relative values compared with the absolute results of the NPV method
Results can be misleading when compared without considering required investment
IRR assumes that a project's cash flows can be reinvested at the same rate of return,which can be a doubtful assumption
IRR is widely used in workday life and many alternative applications have beendeveloped
The later a project's cash flows will occur, the lower the IRR will be (provided totalnominal cash flow is equal), i.e. IRR (decreasing) > IRR (flat) > IRR (increasing)
Cash flows pattern Flat Increasing DecreasingDiscount rate 10% 15% 10% 15% 10% 15%
NPV 36 21 35 18 38 23
IRR 23.4% 22.1% 24.8%
1 See page 34 for detailed cash flow pattern assumptions.
1
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Internal rate of return method (4/4)
The IRR rule contains several pitfalls:
Conflicting results for mutually exclusive projects
Multiple rates of return (change in the sign of the cash flow stream, referred to as"Descartes' rule of signs")
Lending vs. borrowing
Multiple opportunity costs
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NPV vs. IRR
Investment opportunities with discount rates below IRR will yield positive NPV andshould be accepted and vice versa
IRR and NPV analyses result in the same answer when applied properly, but NPV iseasier to use and less prone to wrong decisions
Only IRR is based on the reinvestment assumption but not NPV
NPV is superior - in case of conflicting results, go with NPV!
Discount
rate
IRRNPV
NPV > 0
NPV < 0Discount rate < IRR
Discount rate > IRR
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Dynamic payback period method (1/3)
The dynamic payback period method (DPP) determines the length of time required foran investments cash flows, discounted at its opportunity cost of capital, to recover its
initial required investment
Decision rule: Accept an investment opportunity when its payback duration is shorter
than the expected useful life (same as for static payback method) Required input parameters:
Required investment (C0)
Expected payoffs/cash flows (Ct)
Expected useful life (t)
Discount rate/hurdle rate/opportunity cost of capital (r)
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Dynamic payback period method (2/3)
t
CF1 CF5CF3CF2 CF4
Payback period = ?
PVC0
Example: DPP using a discount rate of 10%
DPP = 3.0
+ (18/28)= 3.6
SPP = 3.0
YearNominal
cash flow
Cumulated
cash flow
Discount
factor
Discounted
cash flow
Cumulated
cash flow
0 (today) -100 -100 1.000 -100 -100
1 30 -70 0.909 27 -73
2 35 -35 0.826 29 -44
3 35 0 0.751 26 -18
4 40 40 0.683 27 10
5 40 80 0.621 25 35
Static payback (SP) Dynamic payback (DP)
Some numbers are rounded.
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Dynamic payback period method (3/3)
DPP provides useful results and is often applied as a complementary method to NPVbut should not be used as the sole investment decision criterion
NPV and DPP can lead to different results depending on
the distribution of cash flows over the investment's useful life
the designated time limit of the investment
DPP omits all cash flows after the investment sum is recovered, which may beinadequate for long-running investments
In practice, both simple and dynamic payback durations are often used as simplemeasures of risk since short payback durations are generally considered safer than
longer periods (liquidity aspect)
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Annuity method (1/2)
An annuity is a series of equal annual cash flows over a given period. The sum of thesecash flows is equal to a project's NPV
Decision rule: Accept investment opportunities with annuities greater than zero
The annuity method is similar to NPV but somewhat more difficult to calculate
Based on the initial investment outlay, the rate of return and the project's time horizon,the required cash flow is calculated (equals IRR or NPV of zero). This required cashflow is then subtracted from the project's actual cash flow. The difference represents the
annuity, which in sum must be equal to the project's NPV
The use of annuities is often unnecessary as NPV analyses will come to identical results
Only two arguments support the use of the annuity method:
Annuities help to calculate the NPV for perpetual cash flows (e.g. terminal valuecalculation in business valuation)
As a one-period measure annuities can be interpreted more easily than NPV
Annuity (finite) = NPV *(1 + r)T * r
(1 + r)T - 1Annuity (infinite) = NPV * r
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Present value interestfactor for annuity
Annuity method (2/2)
Calculation of future and present values of ordinary annuity and annuity due:
Future value interestfactor for annuity
Ordinary =(1+r)n -1
r1
r
Due = (1+r)n -1
r* (1+r)
r*(1+r)n1
-Ordinary =
Due = 1r r*(1+r)n1 - * (1+r)
YearNominal
cash flow
Compound
factor @ 10%
Compound
cash flow (FV)
Nominal
cash flow
Discount
factor @ 10%
Discounted
cash flow (PV)
1 100 1.611 161 100 0.909 91
2 100 1.464 146 100 0.826 83
3 100 1.331 133 100 0.751 75
4 100 1.210 121 100 0.683 68
5 100 1.100 110 100 0.621 62
Total 500.0 6.716 671.6 500.0 3.791 379.1
Compounding Discounting
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Conclusion on dynamic methods
Pros
Consideration of time value of money
Consideration of effective cash flows instead of average values
Enable detailed analysis of the investment project
Cons
Time and effort for data collection can be overwhelming
Sensitivity of results to changes of some parameters (e.g. WACC)
Risk of neglecting aspects of non-monetary nature Calculations are more complex, prone to error and time-consuming
Uncertainty of future projections
Dynamic methods are preferred over static methods
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Agenda: Case study
Circuit AG
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Circuit AG
The Swiss Circuit AG (Circuit) was founded in 1975 and is a wellestablished producer of medium and high quality printed circuit boards(PCB)
Circuit produces only in Switzerland at four plants
Since 2005, domestic and European demand has been significantlydeclining. However, Circuit faces only slightly weaker demand in thearea of high-quality circuit boards and only a moderate slowdown in themedium quality sector
The latest industry outlook is very solid and Circuit is expected toexperience above-average growth
Given these circumstances, Circuit is now examining potentialinvestment opportunities in the field of high-quality multi-layer circuitboards
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Circuit AG: High-speed milling (1/4)
The product manager of Circuit's high-frequency PCB department has proposed twoalternative investments in the field of high-speed milling. The following data have beengathered
Alternative A Alternative B
Expected useful life (in years) 6.0 6.0
Sales volume (units per year) 14'000 18'000
Sales price (CHF per unit) 10.0 10.0
Initial investment outlay 200'000 250'000
Construction costs 18'000 28'000
Freigth costs 2'000 2'000
Liquidation value after 8 years 16'000 0
Fixed operating costs (per year) 6'000 22'000
Variable unit costs (CHF per unit) 4.6 3.9
Tax rate (% per year) 20.0% 20.0%
Imputed interest rate (% per year) 6.0% 6.0%
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Winter Term 2009 49Markus Neuhaus I Corporate Finance I [email protected]
Circuit AG: High-speed milling (2/4)
Identify the preferred investment using
the profit comparison method
the average rate of return method
the static payback method
Discuss and justify your overall decision
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Winter Term 2009 50Markus Neuhaus I Corporate Finance I [email protected]
Circuit AG: High-speed milling (3/4)
Profit comparison method
Alternative A Alternative B
Revenue
./. Variable costs
./. Fixed costs
EBITDA
./. Depreciation
EBIT
./. Average interest
EBT
./. Tax
Average profit
Rank
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Winter Term 2009 51Markus Neuhaus I Corporate Finance I [email protected]
Circuit AG: High-speed milling (4/4)
Average rate of return method
Static payback period method
Alternative A Alternative B
Average profit
Average interest
Average capital tie-up
Average rate of return
Rank
Alternative A Alternative B
Average profit
+ Average depreciation
Average cash flow
Total investment outlay
Static payback period in years
Rank
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Winter Term 2009 52Markus Neuhaus I Corporate Finance I [email protected]
Circuit AG: Etching technology (1/6)
In early 2009, Mr. Sell, Chief Strategy Officer in Circuit's high-frequency PCBdepartment, has proposed to venture into the field of plasma etching. However, basedon preliminary studies, Mr. Sell currently still favors two different etching technologies,wet etching and plasma etching. While wet etching is expected to be an expiringtechnology, the market is not sure whether plasma etching will advance to the state of
the art technology. Circuit can invest only in one technology
Mr. Sell has told you that he favors IRR, because the results of NPV can be misleading.He has already assessed plasma etching and determined its IRR to be 23.3%. He asksyou to calculate the IRR for the potential investment in wet etching and hand in areasonable proposal in which technology to invest
Use the following pages to determine the IRR by interpolation
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Winter Term 2009 53Markus Neuhaus I Corporate Finance I [email protected]
Circuit AG: Etching technology (2/6)
IRR calculation for wet etching technology (low IRR bound)
Cash flow Discount rate Present value
Capital outlay year 0 -150
Cash flow year 1 80
Cash flow year 2 75
Cash flow year 3 55
Cash flow year 4 20
Cash flow year 5 10 0.3277
Net present value
Wet etching @ %
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Winter Term 2009 54Markus Neuhaus I Corporate Finance I [email protected]
Circuit AG: Etching technology (3/6)
IRR calculation for wet etching technology (high IRR bound)
Cash flow Discount rate Present value
Capital outlay year 0 -150
Cash flow year 1 80
Cash flow year 2 75
Cash flow year 3 55
Cash flow year 4 20
Cash flow year 5 10 0.3149
Net present value
Wet etching @ %
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Winter Term 2009 55Markus Neuhaus I Corporate Finance I [email protected]
Circuit AG: Etching technology (4/6)
As part of your investment proposal, you have also produced the following chart.Describe its information value and comment on the impact on your investment appraisal
-40
-200
20
40
60
80
100
120140
160
0% 3% 6% 9% 12%
15%
18%
21%
24%
27%
30%
Plasma etchingWet etching
r
NPV
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Winter Term 2009 56Markus Neuhaus I Corporate Finance I [email protected]
Circuit AG: Etching technology (5/6)
As part of the investment appraisal, Mr. Sell also asks for a net present valuecalculation for both technologies. The appropriate discount rate has been determined toamount to 15%
Compare the results obtained by the different methods and formulate a final investment
recommendation
Cash flow Discount factor Present value
Capital outlay year 0 -150 1.000 -150
Cash flow year 1 30 0.870 26
Cash flow year 2 45 0.756 34
Cash flow year 3 60
Cash flow year 4 75
Cash flow year 5 90
Net present value
Rank
Plasma etching
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Winter Term 2009 57Markus Neuhaus I Corporate Finance I [email protected]
Circuit AG: Etching technology (6/6)
Cash flow Discount factor Present value
Capital outlay year 0 -150 1.000 -150
Cash flow year 1 80 0.870 70
Cash flow year 2 75 0.756 57
Cash flow year 3 55
Cash flow year 4 20
Cash flow year 5 10
Net present value
Rank
Wet etching
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Winter Term 2009 58Markus Neuhaus I Corporate Finance I [email protected]
Contents
Learning targets
Pre-course reading
Lecture Investment management
Case study
Solution to cases
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Solution to cases
Solutions will be distributed after the lecture (download)