Determine the net present value for a project that costs $104,000 and would yield after-tax cash flows of $16,000 the first year, $18,000 the second year, $21,000 the third year, $23,000 the fourth year, $27,000 the fifth year, and $33,000 the sixth year. Your firm's cost of capital is 12.00%. ***without use of financial calculator***
Initial Investment = $104,000
PV of Inflows
Year | Inflows | Discounting factor @ 12% | PV of Inflows |
1 | 16,000.00 | 0.8929 | 14,285.71 |
2 | 18,000.00 | 0.7972 | 14,349.49 |
3 | 21,000.00 | 0.7118 | 14,947.39 |
4 | 23,000.00 | 0.6355 | 14,616.92 |
5 | 27,000.00 | 0.5674 | 15,320.53 |
6 | 33,000.00 | 0.5066 | 16,718.83 |
PV of Inflows | 90,238.86 |
NPV = PV of Inflows - Initial Investment = 90238.86 -104000 = ($13,761.14)
NPV is negative. Project should not be undertaken.
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