A firm evaluates all of its projects by applying the IRR rule.
Explanation:
Year | Cash Flow | |
0 | –$ | 158,000 |
1 | 58,000 | |
2 | 81,000 | |
3 | 65,000 | |
Requirement 1: |
What is the project's IRR? (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).)
|
Internal rate of return | % |
Requirement 2: | |
If the required return is 15 percent, should the firm accept the project? | |
No |
Explanation:
1: |
The
IRR is the interest rate that makes the NPV of the project equal to
zero. So, the equation that defines the IRR for this project is:
|
0 = – $158,000 + $58,000 / (1 + IRR) + $81,000 / (1 + IRR)2 + $65,000 / (1 + IRR)3 |
Using a spreadsheet, financial calculator, or trial and error to find the root of the equation, we find that: |
IRR = 13.66% |
2: |
Since the cash flows are conventional and the IRR is lower than the required return, we would not accept the project.
|
Calculator Solution: |
Note: Intermediate answers are shown below as rounded, but the full answer was used to complete the calculation. |
CFo
| –$158,000 |
C01
| $58,000 |
F01
| 1 |
C02
| $81,000 |
F02
| 1 |
C03
| $65,000 |
F03
| 1 |
IRR CPT | |
13.66% |
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