Frazier Fudge, Inc. is considering 2 mutually exclusive projects with the following cash flows. Which project should be accepted? Assume a cost of capital of 10%.
Years |
Project X |
Project Y |
0 |
($350) |
($350) |
1 |
$130 |
$200 |
2 |
$150 |
$120 |
3 |
$180 |
$120 |
a. |
Project X because NPV is $27.4 |
b. |
Project Y because NPV is $31 |
c. |
Project X because IRR is 13.7% |
d. |
Project Y because IRR is 12.2% |
X:
Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)
=130/1.1+150/1.1^2+180/1.1^3
=$377.39
NPV=Present value of inflows-Present value of outflows
=$377.39-$350
=$27.4(Approx).
Y:
Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)
=200/1.1+120/1.1^2+120/1.1^3
=$371.15
NPV=Present value of inflows-Present value of outflows
=$371.15-$350
=$21.15(Approx).
Hence X must be selected having higher NPV.(option A).
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