10. 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 1 2 3 4 5 Net Cash Flows $120,000 90,000 60,000 30,000 10,000 Cert. Equiv. Factor .90 .80 .65 .50 .30 CE OF (03000 72.000 -396805 16 80 3000 If the risk-free rate is 8 percent and the market risk premium is 6 percent, what is the certainty equivalent NPV for this project? 200,000 717 90

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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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       | 0.90                 |
| 2    | 90,000         | 0.80                 |
| 3    | 60,000         | 0.65                 |
| 4    | 30,000         | 0.50                 |
| 5    | 10,000         | 0.30                 |

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

**Detailed Explanation of Calculation:**

- The question is calculating the Net Present Value (NPV) of a project using the certainty equivalent approach.
- The certainty equivalent approach involves using the Certainty Equivalence Factor to adjust expected cash flows, reducing the cash flows based on the perceived risk.
- You will multiply each year's net cash flow by the certainty equivalent factor for that year.
- Discount these adjusted cash flows to the present value using the risk-free rate (8 percent given).
- Subtract the initial investment ($200,000) from the sum of these present values to compute the NPV.

There are some manual calculations written on the image indicating an evaluation by multiplying cash flows with certainty equivalent factors, though full details of these calculations are not visible.
Transcribed Image Text: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 | 0.90 | | 2 | 90,000 | 0.80 | | 3 | 60,000 | 0.65 | | 4 | 30,000 | 0.50 | | 5 | 10,000 | 0.30 | If the risk-free rate is 8 percent and the market risk premium is 6 percent, what is the certainty equivalent NPV for this project? **Detailed Explanation of Calculation:** - The question is calculating the Net Present Value (NPV) of a project using the certainty equivalent approach. - The certainty equivalent approach involves using the Certainty Equivalence Factor to adjust expected cash flows, reducing the cash flows based on the perceived risk. - You will multiply each year's net cash flow by the certainty equivalent factor for that year. - Discount these adjusted cash flows to the present value using the risk-free rate (8 percent given). - Subtract the initial investment ($200,000) from the sum of these present values to compute the NPV. There are some manual calculations written on the image indicating an evaluation by multiplying cash flows with certainty equivalent factors, though full details of these calculations are not visible.
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