A firm is evaluating the acceptability of an investment that costs $90,000 and is expected to generate annual cash flows equal to $20,000 for the next six years. If the firm’s required rate of return is 10 percent, what is the NPV of the project? Should the project be purchased?
Ans. | Net present value = Present value of cash inflow - Investment | |||
87106 - 90000 | ||||
-2894 | ||||
Present value of cash flow = Annual cash inflows * Annuity of 6 years @10% | ||||
20000 * 4.3553 | ||||
87106 | ||||
The project should not be accepted as the NPV of the project is negative. | ||||
*Calculation of PV @10%: | ||||
Year | ||||
1 | 1 / (1 + 0.1)^1 | 0.9091 | ||
2 | 1 / (1 + 0.1)^2 | 0.8264 | ||
3 | 1 / (1 + 0.1)^3 | 0.7513 | ||
4 | 1 / (1 + 0.1)^4 | 0.6830 | ||
5 | 1 / (1 + 0.1)^5 | 0.6209 | ||
6 | 1 / (1 + 0.1)^6 | 0.5645 | ||
Annuity of 6 years @ 10% | 4.3553 | |||
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