RainMan Inc. is in the business of producing rain upon request.
They must decide between two investment projects: a new airplane
for seeding rain clouds or a new weather control machine built by
Dr. Nutzbaum. The discount rate for the new airplane is 9 percent,
while the discount rate for the weather machine is 39 percent (it
happens to have higher market risk). Which investment should the
company select and why? (Assume a 0 percent inflation rate and that
projected costs do not change over time.)
Year | Airplane | Weather Machine |
0 | −900 | −900 |
1 | 500 | 550 |
2 | 600 | 600 |
3 | 685 | |
Group of answer choices
A. Airplane, because it has a higher NPV
B. Weather machine, because it has a higher NPV
C. Airplane, because it has a higher equivalent annual cash flow
D. Weather machine, because it has a higher equivalent annual cash flow
Please explain the reason why.
A) AIRPLANE ,BECAUSE IT HAS A HIGHER NPV
CALCULATION OF NPV
AIRPLANE | |||
CASH FLOWS | PV FACTOR @9% | PV OF CASH FLOWS | |
YEAR 0 | -900 | -900 | |
YEAR 1 | 500 | 0.917 | 458.72 |
YEAR 2 | 600 | 0.842 | 505.01 |
YEAR 3 | 0 | 0.772 | 0.00 |
ROR | 9% | NPV = | 63.72 |
WEATHER MACHINE | |||
CASH FLOWS | PV FACTOR @39% | PV OF CASH FLOWS | |
YEAR 0 | -900 | -900 | |
YEAR 1 | 550 | 0.719 | 395.68 |
YEAR 2 | 600 | 0.518 | 310.54 |
YEAR 3 | 685 | 0.372 | 255.06 |
ROR | 39% | NPV = | 61.29 |
If NPV is positive, that means that the value of the revenues (cash inflows) is greater than the costs (cash outflows). When revenues are greater than costs, the investor makes a profit. ... In theory, an investor should make any investment with a positive NPV, which means the investment is making money.therefore project with highest NPV should be chosen in case of mutually exclusive events
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