Suppose Praxis Corporation’s CFO is evaluating a project with the following cash inflows. She does not know the project’s initial cost; however, she does know that the project’s regular payback period is 2.5 years.
Year |
Cash Flow |
---|---|
Year 1 | $375,000 |
Year 2 | $400,000 |
Year 3 | $400,000 |
Year 4 | $400,000 |
If the project’s weighted average cost of capital (WACC) is 8%, what is its NPV?
$343,038
$261,362
$392,044
$326,703
Year | Cash flow | |||
1 | 375000 | |||
2 | 400000 | |||
3 | 400000 | |||
4 | 400000 | |||
Since payback period is 2.5 year | ||||
therefore intitial investment = 375000+400000+400000*0.5 | ||||
975000 | ||||
Now we can compute the NPV | ||||
year | Cash flow | PVIF @ 8% | Present value | |
0 | -975000 | 1 | (975,000) | |
1 | 375000 | 0.925925926 | 347,222 | |
2 | 400000 | 0.85733882 | 342,936 | |
3 | 400000 | 0.793832241 | 317,533 | |
4 | 400000 | 0.735029853 | 294,012 | |
NPV = | 326,703 | |||
answer = | 326,703 |
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