As the director of capital budgeting for Denver Corporation, you are evaluating two mutually exclusive projects with the following net cash flows:
YearProject XProject Z
0-$100,000-$100,000
150,000 10,000
240,000 30,000
330,000 40,000
410,000 60,000
If Denver's cost of capital is 15 percent, which project would you choose?
- Project Z, since it has the higher NPV.
- Project X, since it has the higher NPV.
- Neither project.
- Project X, since it has the higher IRR.
- Project Z, since it has the higher IRR.
Answer(s): C
Explanation:
(In thousands)
NPV(X) = -100 + 50(PVIF(15%,1)) + 40(PVIF(15%,2)) + 30(PVIF(15%,3)) + 10(PVIF(15%,4)) = -100 + 50 (0.8696) + 40(0.7561) + 30(0.6575) + 10(0.5718) = -0.833 = -$833.
NPVZ = -100 + 10(PVIF(15%,1)) + 30(PVIF(15%,2)) + 40(PVIF(15%,3)) + 60(PVIF(15%,4)) = -100 + 10 (0.8696) + 30(0.7561) + 40(0.6575) + 60(0.5718) = -8.013 = -$8,013.
At a cost of capital of 15%, both projects have negative NPVs and, thus, both would be rejected.
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