SUMMARY OF APPRAISAL FORMULA A) COMPOUNDED INTEREST 1. Future Value of Single Investment FV = P (1+ r) n Where: FV - Future Value P - Principal r - interest rate n - no. of compounding periods Example: Land purchased for P50,000 cash appreciates at the rate of 15% compounded annually. How much is the land worth after 5 years? Disregard taxes, insurance and selling expenses. Solution FV = P (1+ r) n FV = P 50,000 x (1 + .15) 5 FV = P 100,567.90 say P 100,568 2. Future Value of Annuity FVA = A [ (1+ r) n - 1 ] r FVA - Future Value of Annuity A - Annual Uniform Payment r - interest rate n - no. of years Example: How much will a yearly investment of P 150,000 be after 10 years if the investor is satisfied with a return of 12%? Solution FVA = A [ (1+ r) n - 1 ] r FVA = 150,000 [(1+ .12) 10 - 1 ] FVA = P 2,632,310 3. Present Value of Single Investment (Discounting or Reversion Formula) PV = FV (1+ r) -n Where: PV - Present Value FV - Future Value r - interest rate n - no. of compounding periods 0.12 ACEBUREAU Appraisal; ACEBU Center for Real Estate (ACRE)
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
SUMMARY OF APPRAISAL FORMULAA) COMPOUNDED INTEREST
1. Future Value of Single Investment
FV = P (1+ r)n
Where:
FV - Future Value
P - Principal
r - interest rate
n - no. of compounding periods
Example:
Land purchased for P50,000 cash appreciates at the rate of 15% compounded annually. How
much is the land worth after 5 years? Disregard taxes, insurance and selling expenses.
Solution
FV = P (1+ r)n
FV = P 50,000 x (1 + .15)5
FV = P 100,567.90 say P 100,568
2. Future Value of Annuity
FVA = A [(1+ r)n - 1 ] r
FVA - Future Value of Annuity
A - Annual Uniform Payment
r - interest rate
n - no. of years
Example:
How much will a yearly investment of P 150,000 be after 10 years if the investor is satisfied
with a return of 12%?
Solution
FVA = A [(1+ r)n - 1 ] r
FVA = 150,000 [(1+ .12)10 - 1 ]
FVA = P 2,632,310
3. Present Value of Single Investment (Discounting or Reversion Formula)
PV = FV (1+ r)-n
Where:
PV - Present Value
FV - Future Value
r - interest rate
n - no. of compounding periods
0.12
ACEBUREAU Appraisal; ACEBU Center for Real Estate (ACRE)
Example:
What is the reversion value of a property in 2 years with an estimated market value of P12, 540,000
an interest rate of 10% per year?
Solution
PV = P (1+ r)-n
PV = P12,540,000 * (1+ .10)-2
PV = P 10,363,636.00
4. Present Value of Annuity
PVA = A [1 - (1+ r)-n ]
r
PVA - Present Value of Annuity
A - Annual Uniform Payment
r - interest rate
n - no. of years
Example:
If a property is expected to produce a yearly income of P 3,600,000 for 8 years. What is the
present value of the yearly income today if discounted at a rate of 8%.
Solution
PVA = A [1 - (1+ r)-n ]
r
PVA = 3,600,000 [1 - (1+ .08)-8
]
PVA = P 20,687,900.20
5. Amortization Formula
MA - Monthly Amortization
P - Principal Amount (Loan Amount)
r - interest rate
n - no. of months
Example:
Mr. A purchases a house and lot thru installment basis. The contract price is P 3,500,000 with a
required downpayment of 20%. Compute the monthly amortization if the loan interest rate
per year is 8% for 5 years.
M.A. = P x ( r )
1 - (1 + r)-n
0.08
M.A. = P xr
[1 - (1+ r)-n ]
ACEBUREAU Appraisal; ACEBU Center for Real Estate (ACRE)
Where:
P = 3,500,000 - (3,500,000 x 20%)
P = 2,800,000
n = 5yrs x 12 = 60 months
r = .08/12 = 0.006667
M.A. = P 2,800,000 x ( .006667 )
M.A. = P 56,774.44
6. Income Approach (Direct Capitalization)
Income I
Rate R
Example:
What is the value of a property consisting of land and building with an annual net operating
income of P330,000 and with an over-all capitalization rate of 12.50% is
I
R
330,000
0.125
V = P 2,640,000
7. Gross Rent Multiplier or Gross Income Multiplier (GRM or GIM)
Example 1:
Compute the Gross Rent Multiplier (GRM) of the property that rented for P 250,000 per year
and was sold a month ago at P 8,500,000.
Sales Price
Gross Rent
P 8,500,000
P 250,000
GRM = 34
1 - (1.006667)-60
Value = V =
V =
V =
GRM =
GRM =
GRM =
Sales Price or Value
Gross Rent
ACEBUREAU Appraisal; ACEBU Center for Real Estate (ACRE)
Example 2:
Compute the indicated value of the property that rented for P 750 per month, using a month
monthly Gross Rent Multiplier (GRM) of 100, if the expenses attribute to the property were
115 per month.
Value = GRM x Gross Rent
Value = 100 x P 750
Value = P 75,000
7. Land Residual Technique
Step 1 Compute Net Operating Income (NOI) or Net Income Before Recapture (NIBR)