Calculate the PV of the following (enter only the number): You have an expense of 10,000 at the start of the project, 1,000 for the next 2 years, and a final annual payment annual of 20,000.
Assume a rate of return of 9 %.
Enter your answer rounded to whole dollars.
Present value | Cash flow*(1/(1+r)^n) | ||||
where r is interest rate and n is number of year | |||||
Calculate present value as shown below: | |||||
Year | Cash flow | Discount factor @ 9% | Present value (Cash flow*discount factor) | ||
0 | -10000 | 1.00000 | 1/(1.09^0) | -$10,000 | |
1 | -1000 | 0.91743 | 1/(1.09^1) | -$917 | |
2 | -1000 | 0.84168 | 1/(1.09^2) | -$842 | |
3 | -20000 | 0.77218 | 1/(1.09^3) | -$15,444 | |
Total | -$27,203 | ||||
Thus, total present value of each cash outflow is -$27,203 | |||||
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