Skiba Company is thinking about two different modifications to its current manufacturing process. The after-tax cash flows associated with the two investments follow:
Year | Project I | Project II | ||
0 | $(100,000) | $(100,000) | ||
1 | — | 63,857 | ||
2 | 134,560 | 63,857 |
Skiba's cost of capital is 8%.
Required: 1. Compute the NPV and the IRR for each investment. Round present value calculations and your final NPV answers to the nearest dollar. Round IRR answers to the nearest whole percent.
Calculation of net present value | |||
year | pv factor | present value | |
0 | -100000 | 1 | -100000 |
2 | 134560 | 0.85734 | 115364 |
net present value = present value of cash inflow-outflow | |||
net present value = 115364-100000 = 15364 | |||
IRR | |||
initial investment = cash inflow at the end yr2*pvf(i%,2yr) | |||
100000 = 134560*pvf(i%,2 yrs) | |||
Pvf(i%,2yrs) = 100000/134560 = 0.74316 | |||
IRR = 16% | |||
Project II | |||
year | Pvf | present value | |
0 | -100000 | 1 | -100000 |
1-2 | 63857 | 1.78326 | 113874 |
Net present value = 113874-100000 = 13874 | |||
IRR | |||
100000 = 63857*pvaf(i%,2yrs) | |||
pvaf (i%,2yr) = 100000/63857 | |||
pvaf (i%,2yr) = 1.5660 | |||
IRR = 18% |
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