An investment, which has an expected return of 10.65 percent, is expected to make annual cash flows forever. The first annual cash flow is expected in 1 year and all subsequent annual cash flows are expected to grow at a constant rate of 5.63 percent per year. The cash flow in 1 year from today is expected to be 19,250 dollars. What is the present value (as of today) of the cash flow that is expected to be made in 5 years?
Answer: | ||||
Calculation of Present value. | ||||
Year | Cash flow formula | Cash flows | Present value factor @10.65% | Present value |
1 | =19,250 | 19250.00 | 0.9038 | 17397.20 |
2 | =19250x(1+0.0563) | 20333.78 | 0.8168 | 16607.92 |
3 | =20333.78x(1+0.0563) | 21478.57 | 0.7382 | 15854.44 |
4 | =21,478.57x(1+0.0563) | 22687.81 | 0.6671 | 15135.16 |
5 | =22687.81*(1+0.0563) | 23965.13 | 0.6029 | 14448.50 |
Total | 79443.22 | |||
Present value of cash flows in 5 years is $79,443.22 (Answer) |
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