A set of cash flows begins at $8000 the first year, with an increase each year until n=10 years. If the interest rate is 5%, what is the present value when the annual increase is 15%?
The annual increase in cash flow is:
The interest is:
Year | Cash flow ($) | Present value ($) |
1 | 8000 | 8000/(1.05) = 7619.05 |
2 | 8000 × 1.15 = 9200 | 9200/(1.05)2 = 8344.67 |
3 | 9200 × 1.15 = 10580 | 10580/(1.05)3 = 9139.40 |
4 | 10580 × 1.15 = 12167 | 12167/(1.05)4 = 10009.82 |
5 | 12167 × 1.15 = 13992.05 | 13992.05/(1.05)5 = 10963.14 |
6 | 13992.05 × 1.15 = 16090.86 | 16090.86/(1.05)6 = 12007.25 |
7 | 16090.86 × 1.15 = 18504.49 | 18504.49/(1.05)7 = 13150.79 |
8 | 18504.49 × 1.15 = 21280.16 | 21280.16/(1.05)8 = 14403.25 |
9 | 21280.16 × 1.15 = 24472.18 | 24472.18/(1.05)9 = 15775 |
10 | 24472.18 × 1.15 = 28143 | 28143/(1.05)10 = 17277.36 |
Net | 118689.73 |
So, the present value will be $118689.73.
Get Answers For Free
Most questions answered within 1 hours.