For the following set of cash flows.
Year Cash Flow
0 -6,700
1 6,600
2 5,600
3 3,000
A) What is the NPV at a discount rate of 0 percent?
B) What is the NPV at a discount rate of 13 percent?
C) What is the NPV at a discount rate of 21 percent?
D) What is the NPV at a discount rate of 26 percent?
Years | Cash flow | Discount factor | Present Value | Discount factor | Present Value | Discount factor | Present Value | Discount factor | Present Value |
@0% | @13% | @21% | @26% | ||||||
a | b | c=1.0^-a | b*c | d=1.13^-a | b*d | e=1.21^-a | b*e | f=1.26^-a | b*f |
0 | $ -6,700 | 1.000 | $ -6,700 | 1.000 | $ -6,700 | 1.000 | $ -6,700 | 1.000 | $ -6,700 |
1 | $ 6,600 | 1.000 | $ 6,600 | 0.885 | $ 5,841 | 0.826 | $ 5,455 | 0.794 | $ 5,238 |
2 | $ 5,600 | 1.000 | $ 5,600 | 0.783 | $ 4,386 | 0.683 | $ 3,825 | 0.630 | $ 3,527 |
3 | $ 3,000 | 1.000 | $ 3,000 | 0.693 | $ 2,079 | 0.564 | $ 1,693 | 0.500 | $ 1,500 |
NPV | $ 8,500 | $ 5,605 | $ 4,273 | $ 3,565 | |||||
Thus, | |||||||||
A) | NPV | $ 8,500 | |||||||
B) | NPV | $ 5,605 | |||||||
C) | NPV | $ 4,273 | |||||||
D) | NPV | $ 3,565 |
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