A project will produce cash inflows of $1,750 a year for four years. The project initially costs $7,164 to get started. In year five, the project will be closed and as a result should produce a cash inflow of $3,500. The net present value of this project is closest to what value if the required rate of return is 12%?
Select one:
a. $5,474.76
b. $1,011.40
c. $95.56
d. -$1,306.18
e. -$5,474.76
The calculation of NPV of the project is shown in the below table:
(Note: The present value factor is calculate as : 1/ (1+rate of return)^n , where n is the number of years )
Years | Cash flows(CF) | Present value factor(PV) | CF * PV |
0 | -7164 | 1.000 | -7164.000 |
1 | 1750 | 0.893 | 1562.500 |
2 | 1750 | 0.797 | 1395.089 |
3 | 1750 | 0.712 | 1245.615 |
4 | 1750 | 0.636 | 1112.157 |
5 | 3500 | 0.567 | 1985.994 |
TOTAL ( NPV) = | 137.355 |
The NPV of the project is $ 137.355
Please note here that the options given are different from the value of NPV, but since it is mentioned to mark the closest value , we can mark c) as the answer since its the closest.
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