Suppose your firm is considering investing in a project with the cash flows shown below, that the required rate of return on projects of this risk class is 7 percent, and that the maximum allowable payback and discounted payback statistics for the project are 2.0 and 3.0 years, respectively.
Time: | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Cash flow: | –$6,800 | $1,010 | $2,210 | $1,410 | $1,410 | $1,210 | $1,010 |
Use the IRR decision rule to evaluate this project. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
IRR is the rate which makes the NPV of a project as nil.
Year | Cash flow | 1+r | PVIF | PV = cash flow*PVIF |
0 | -6,800.00 | 1.061797 | 1.0000 | -6,800.00 |
1 | 1,010.00 | 0.9418 | 951.22 | |
2 | 2,210.00 | 0.8870 | 1,960.24 | |
3 | 1,410.00 | 0.8354 | 1,177.86 | |
4 | 1,410.00 | 0.7867 | 1,109.31 | |
5 | 1,210.00 | 0.7410 | 896.56 | |
6 | 1,010.00 | 0.6978 | 704.81 | |
NPV | 0.0000 |
Thus IRR = 1.061797 -1
= 6.18% (rounded to 2 decimal place)
As IRR of 6.18%<required rate of return of 7% the project should be rejected.
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