Maud'Dib Intergalactic has a new project available on Arrakis. The cost of the project is $40,000 and it will provide cash flows of $23,000, $29,300, and $29,800 over each of the next three years, respectively. Any cash earned in Arrakis is "blocked" and must be reinvested in the country for one year at an interest of 2.7 percent. The project has a required return of 9.3 percent. What is the project's NPV?
Multiple Choice
$42,678.35
$46,558.20
$37,685.88
$24,261.39
$28,391.14
Answer: | |||
Calculation of NPV | |||
Formula will will use here | |||
NPV = | Present value of Cash inflows - Initial cost | ||
Calculation of cash inflows | |||
Cash Inflows | Future value factor @2.70% | Cash inflow in subsequent year | |
23000.00 | 1.02700 | 23621.00 | |
29300.00 | 1.02700 | 30091.10 | |
29800.00 | 1.02700 | 30604.60 | |
Initial cost = | 40000.00 | ||
Year | Cash Inflows | Present value factor @ 9.30% | Present value of cash inflows |
1 | 0.00 | 0.91491 | 0.000 |
2 | 23621.00 | 0.83707 | 19772.335 |
3 | 30091.10 | 0.76584 | 23045.046 |
4 | 30604.60 | 0.70068 | 21444.013 |
Total | 64261.394 | ||
NPV | |||
Present value of cash inflows | 64261.394 | ||
Less: Initial cost | 40000.000 | ||
NPV | 24261.394 | ||
The net present value of the project is $24,261.39 (Answer) |
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