In: Finance
Year |
Airplane |
Weather Machine |
0 |
–900 |
–900 |
1 |
500 |
550 |
2 |
600 |
600 |
3 |
685 |
a. |
Airplane, because it has a higher equivalent annual cash flow. |
|
b. |
Weather machine, because it has a higher NPV. |
|
c. |
Airplane, because it has a higher NPV. |
|
d. |
Weather machine, because it has a higher equivalent annual cash flow. |
Airplane | |||
Discount rate | 9.000% | ||
Year | 0 | 1 | 2 |
Cash flow stream | -900 | 500 | 600 |
Discounting factor | 1.000 | 1.090 | 1.188 |
Discounted cash flows project | -900.000 | 458.716 | 505.008 |
NPV = Sum of discounted cash flows | |||
NPV Airplane = | 63.72 | ||
Where | |||
Discounting factor = | (1 + discount rate)^(Corresponding period in years) | ||
Discounted Cashflow= | Cash flow stream/discounting factor |
Equvalent annuity(EAA)= | 23.09 | ||
Required rate = | 9.000% | ||
Year | 0 | 1 | 2 |
Cash flow stream | 23.09 | 23.09 | 23.09 |
Discounting factor | 1.000 | 1.090 | 1.188 |
Discounted cash flows project | 23.094 | 21.188 | 19.438 |
Sum of discounted future cashflows = | 63.72 | ||
Discounting factor = | (1 + discount rate)^(Corresponding period in years) | ||
Discounted Cashflow= | Cash flow stream/discounting factor |
Weather machine | ||||
Discount rate | 39.000% | |||
Year | 0 | 1 | 2 | 3 |
Cash flow stream | -900.000 | 550.000 | 600.000 | 685.000 |
Discounting factor | 1.000 | 1.390 | 1.932 | 2.686 |
Discounted cash flows project | -900.000 | 395.683 | 310.543 | 255.062 |
NPV = Sum of discounted cash flows | ||||
NPV Weather machine = | 61.29 | |||
Where | ||||
Discounting factor = | (1 + discount rate)^(Corresponding period in years) | |||
Discounted Cashflow= | Cash flow stream/discounting factor |
Equvalent annuity(EAA)= | 23.49 | |||
Required rate = | 39.000% | |||
Year | 0 | 1 | 2 | 3 |
Cash flow stream | 23.49 | 23.49 | 23.49 | 23.49 |
Discounting factor | 1.000 | 1.390 | 1.932 | 2.686 |
Discounted cash flows project | 23.489 | 16.898 | 12.157 | 8.746 |
Sum of discounted future cashflows = | 61.29 | |||
Discounting factor = | (1 + discount rate)^(Corresponding period in years) | |||
Discounted Cashflow= | Cash flow stream/discounting factor | |||
Weather machine as it has higher equivalent annuity amount