A company is considering a project that has the following cash flows: -1200 in year 0, 400 in year 1, 425 in year 2, 450 in year 3, and 475 in year 4. The WACC is 14%. What is the project’s NPV?
A $45.84
B $41.25
C $50.93
D $56.59
E $62.88
Answer E ($62.88)
NPV = CF 0 + CF 1 * (1/1.14^1) + CF 2 * (1/1.14^2) + CF 3 * (1/1.14^3) + CF 4 * (1/1.14^4)
= ($1200) + 400 * 0.877 + 425*0.7695 = 450 * 0.6750 + 475 * 0.5921
= $62.88
Another way
Year | CI | PVF @ 14% | PVCI |
1 | $400.00 | 0.8772 | $ 350.88 |
2 | $425.00 | 0.7695 | $ 327.02 |
3 | $450.00 | 0.6750 | $ 303.74 |
4 | $475.00 | 0.5921 | $ 281.24 |
Total | $1,262.88 | ||
PVCO | 1200 | ||
NPV | $ 62.88 |
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