Suppose your firm is considering investing in a project with
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 12 percent, and that the maximum allowable payback and discounted payback statistic for the project are 2 and 3 years, respectively.
770
Use the payback decision rule to evaluate this project; should it be accepted or rejected?
0 years, accept
1.04 years, accept
2.71 years, reject
4.00 years, reject
| Time | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| Cash Flow | -1,150 | 30 | 570 | 770 | 770 | 370 | 770 |
Solution
PAY BACK PERIOD
= 2 + (-550 / 770)
= 2 + 0.71
= 2.71 YEARS
AS MAXIMUM ALLOWABLE PAY BACK PERIOD IS 2 YEARS , THE PROJECT SHOULD BE REJECTED.
-----------------------------------------------------------------------------------------------------------------------------------------------------------
DISCOUNTED PAYBACK PERIOD
DISCOUNTED PAY BACK PERIOD
= 3 + (-$120.72 / $489.34)
= 3 + 0.25
= 3.25 YEARS
AS MAXIMUM ALLOWABLE DISCOUNTED PAY BACK PERIOD IS 3 YEARS , THE PROJECT SHOULD BE REJECTED.
| YEAR | CASH FLOW | CUMULATIVE CASH FLOW |
| 0 | -1150 | -1150 |
| 1 | 30 | -1120 |
| 2 | 570 | -550 |
| 3 | 770 | 220 |
| 4 | 770 | 990 |
| 5 | 370 | 1360 |
| 6 | 770 | 2130 |