SOLUTIONS TO END-OF-CHAPTER PROBLEMS
NPV = -$40,000 + $9,000[(1/I) – (1/(I × (1 + I)N)]
= -$40,000 + $9,000[(1/0.11) – (1/(0.11 × (1 + 0.11)7)]
Financial calculator solution: Input CF0 = -40000, CF1-7 = 9000, I/YR = 11, and then
solve for NPV = $2,409.77.
Financial calculator solution: Input CF0 = -40000, CF1-8 = 9000, and then solve for IRR =
MIRR: PV Costs = $40000.
Financial calculator: Obtain the FVA by inputting N = 7, I/YR = 11, PV = 0, PMT =
9000, and then solve for FV = $87,049. The MIRR can be obtained by inputting N = 7,
PV = -40000, PMT = 0, FV = 88049, and then solving for I/YR = 11.93%.
PV = $9,000[(1/I) – (1/(I × (1 + I)N)]
= $9,000[(1/0.11) – (1/(0.11 × (1 + 0.11)7)]
Financial calculator: Find present value of future cash flows by inputting N = 7, I/YR =
11, PMT = -9000, FV = 0, then solve for PV = $42,409.
PI = PV of future cash flows/Initial cost
= $42,409/$40,000 = 1.06.
Since the cash flows are a constant $9,000, calculate the payback period as:
$40,000/$9,000 = 4.44, so the payback is about 4 years.
The project’s discounted payback period is calculated as follows:
The discounted payback period is 6 + years, or 6.44 years.
a. Project A: Using a financial calculator, enter the following:
CF0 = -15000000
CF1 = 5000000
CF2 = 10000000
CF3 = 20000000
I/YR = 10; NPV = $12,836,213.
Change I/YR = 10 to I/YR = 5; NPV = $16,108,952.
Change I/YR = 5 to I/YR = 15; NPV = $10,059,587.
Project B: Using a financial calculator, enter the following:
CF0 = -15000000
CF1 = 20000000
CF2 = 10000000
CF3 = 6000000
I/YR = 10; NPV = $15,954,170.
Change I/YR = 10 to I/YR = 5; NPV = $18,300,939.
Change I/YR = 5 to I/YR = 15; NPV = $13,897,838.
b. Using the data for Project A, enter the cash flows into a financial calculator and solve
for IRRA = 43.97%. The IRR is independent of the WACC, so IRR doesn’t change
when the WACC changes.
Using the data for Project B, enter the cash flows into a financial calculator and solve
for IRRB = 82.03%. Again, the IRR is independent of the WACC, so IRR doesn’t
change when the WACC changes.
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