Compute the NPV for Project M if the appropriate cost of capital is 8 percent. (Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your final answer to 2 decimal places.)
| Project M | ||||||
| Time: | 0 | 1 | 2 | 3 | 4 | 5 |
| Cash flow: | −$1,900 | $530 | $660 | $700 | $780 | $280 |
NPV?
Should the project be accepted or rejected?
accepted
rejected
| Solution: | |||
| a. | NPV 476.15 | ||
| Working Notes: | |||
| Notes: | NPV is the net of present value of cash flows during the life of project which includes cash outflows and cash inflows. | ||
| A | B | C = A x B | |
| Time | Cash flow | PVF @ 8% | Present Value |
| 0 | -1900 | 1 | -1900 |
| 1 | 530 | 0.925926 | 490.7407 |
| 2 | 660 | 0.857339 | 565.8436 |
| 3 | 700 | 0.793832 | 555.6826 |
| 4 | 780 | 0.735030 | 573.3233 |
| 5 | 280 | 0.680583 | 190.5633 |
| NPV | 476.15 | ||
| Notes: PVF is calculated @ r% = 1/(1+r%)^n for given case used is (1/(1.08)^n) where n is the period for which PVF is calculated. | |||
| b. | |||
| Accepted | |||
| Working Notes: | |||
| Project M Should Be accepted as its NPV is positive 476.15 means it is able to generate more than required cost of capital of 8% , hence the project should be accepted. | |||
| Please feel free to ask if anything about above solution in comment section of the question. | |||
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