P10–24 ALL TECHNIQUES, CONFLICTING RANKINGS Nicholson Roofing Materials Inc. is considering two mutually exclusive projects that both cost $150,000. The company’s board of directors has set a maximum four-year payback requirement, the cost of capital is 9%. The project cash flows appear below. a. Calculate the payback period for each project. b. Calculate the NPV of each project at 0%. c. Calculate the NPV of each project at 9%.

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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P10–24 ALL TECHNIQUES, CONFLICTING RANKINGS Nicholson Roofing Materials Inc. is considering two mutually exclusive projects that both cost $150,000. The company’s board of directors has set a maximum four-year payback requirement, the cost of capital is 9%. The project cash flows appear below.

a. Calculate the payback period for each project.

b. Calculate the NPV of each project at 0%.

c. Calculate the NPV of each project at 9%.

 

The table presents the cash inflows (\(CF_t\)) for two projects, A and B, over a period of six years. 

### Cash inflows (\(CF_t\))
| Year | Project A | Project B |
|------|-----------|-----------|
| 1    | $45,000   | $75,000   |
| 2    | $45,000   | $60,000   |
| 3    | $45,000   | $30,000   |
| 4    | $45,000   | $30,000   |
| 5    | $45,000   | $30,000   |
| 6    | $45,000   | $30,000   |

**Analysis:**

- **Project A:** Consistently receives $45,000 each year from year 1 to year 6.
- **Project B:** Starts with a larger inflow of $75,000 in the first year, decreases to $60,000 in the second year, and remains at $30,000 from the third year through the sixth year. 

This table could be used for comparative analysis of the long-term cash flow potential of each project.
Transcribed Image Text:The table presents the cash inflows (\(CF_t\)) for two projects, A and B, over a period of six years. ### Cash inflows (\(CF_t\)) | Year | Project A | Project B | |------|-----------|-----------| | 1 | $45,000 | $75,000 | | 2 | $45,000 | $60,000 | | 3 | $45,000 | $30,000 | | 4 | $45,000 | $30,000 | | 5 | $45,000 | $30,000 | | 6 | $45,000 | $30,000 | **Analysis:** - **Project A:** Consistently receives $45,000 each year from year 1 to year 6. - **Project B:** Starts with a larger inflow of $75,000 in the first year, decreases to $60,000 in the second year, and remains at $30,000 from the third year through the sixth year. This table could be used for comparative analysis of the long-term cash flow potential of each project.
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Can you show how the NPV for project B was calculated.  Still need to understand how answer was achieved.  Maybe showing formula in excel.  Thanks

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