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Billy Bob is considering building a water slide park that will require a net inv

ID: 2784339 • Letter: B

Question

Billy Bob is considering building a water slide park that will require a net investment of $200,000 and yield the following net cash flows:

Year

Net Cash Flows

Cert. Equiv. Factor

1

$120,000

.95

2

90,000

.90

3

60,000

.80

4

30,000

.75

5

10,000

.50

If the risk-free rate is 6 percent and the market risk premium is 8 percent, what is the certainty equivalent NPV for this project?

$74,920

$41,497

$33,045

$10,644

Year

Net Cash Flows

Cert. Equiv. Factor

1

$120,000

.95

2

90,000

.90

3

60,000

.80

4

30,000

.75

5

10,000

.50

Explanation / Answer

NPV=Present value of inflows-Present value of outflows

241497.63-$200,000

=$41497(Approx)(B).

Cash flow Present value@6% (120,000*0.95)=$114000 (114000/1.06)=$107547.17 (90000*0.9)=81000 (81000/1.06^2)=$72089.71 (60000*0.8)=48000 (48000/1.06^3)=40301.73 (30000*0.75)=22500 (22500/1.06^4)=17822.11 (10000*0.5)=5000 (5000/1.06^5)=3736.91 Total=241497.63