We are trying to determine which project, A or B, could be sold for the most money today. Project A will generate cash flows of $400, $500, and $600 in the third, fourth, and sixth years, respectively, of the project's life. Project B will generate cash flows of $700 in year two and $800 in year nine. Investments similar to "A" return 10% on average while investments similar to "B" return 11%. Below, provide the answer for Project A. The following question will be for Project B.
Present Value of Cash flows from Project A @ 10% = 400 * (1+0.10)^(-3) + 500 * (1+0.10)^(-4) + 600 * (1+0.10)^(-6) = $980.72
Year |
Cash flow |
PV factor |
Return |
Present Value |
3 |
400 |
0.751315 |
10% |
300.53 |
4 |
500 |
0.683013 |
10% |
341.51 |
6 |
600 |
0.564474 |
10% |
338.68 |
980.72 |
Present Value of Cash flows from Project B @ 11% = 700 * (1+0.11)^(-2) + 800 * (1+0.11)^(-9) = $880.88
Year |
Cash flow |
PV factor |
Return |
Present Value |
2 |
700 |
0.811622 |
11% |
568.14 |
9 |
800 |
0.390925 |
11% |
312.74 |
880.88 |
So, project A could be sold for more money today as it has higher Net Present Value.
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