CrochetCo is considering an investment in a project which would require an initial outlay of $302774 and produce expected cash flows in years 1 through 5 of $89756 per year. You have determined that the current after-tax cost of the firm's capital (required rate of return) for each source of financing is as follows:
Source of Capital |
Cost |
Weight |
Long-Term Debt |
4% |
59% |
Preferred Stock |
10% |
18% |
Common Stock |
14% |
23% |
What is the net present value of this project?
Calculation of firm's required rate of return | |||
Source of capital | Cost | Weight | Cost*Weight |
Long term debt | 4 | 0.59 | 2.36 |
Preferred stock | 10 | 0.18 | 1.80 |
Common stock | 14 | 0.23 | 3.22 |
Total | 7.38 | ||
Firm's cost of capital= Weighted average | |||
7.38% | (See table) | ||
Calculation of NPV | |||
Year | Cashflow ($) | Discounting factor @ 7.38% | PV of cashflows ($) |
0 | -302774 | 1 | -302774.00 |
1 | 89756 | 0.931272118 | 83587.26 |
2 | 89756 | 0.867267757 | 77842.48 |
3 | 89756 | 0.807662281 | 72492.54 |
4 | 89756 | 0.752153363 | 67510.28 |
5 | 89756 | 0.700459455 | 62870.44 |
NPV | 61529.00 | ||
We know, | |||
NPV= Present value of future cashflows from the project discounted at the required rate of return | |||
$61,529 | (rounded off to two decimal places) |
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