In: Finance
8. Calculate the Future Value of the following cash flow stream. Assume that 12.50% is the appropriate rate. Year Cash Flow 1-5 $2,000 6-12 4,000 13 10,000 14-20 13,000 21-25 16,000
$ 708,583.38
| Year | Cash Flow | Future Value of 1 | Future Value of cash flow | |
| a | b | c=1.1250^(25-a) | d=b*c | |
| 1 | $ 2,000 | 16.8912 | $ 33,782.40 | |
| 2 | $ 2,000 | 15.0144 | $ 30,028.80 | |
| 3 | $ 2,000 | 13.3461 | $ 26,692.27 | |
| 4 | $ 2,000 | 11.8632 | $ 23,726.46 | |
| 5 | $ 2,000 | 10.5451 | $ 21,090.19 | |
| 6 | $ 4,000 | 9.3734 | $ 37,493.67 | |
| 7 | $ 4,000 | 8.3319 | $ 33,327.70 | |
| 8 | $ 4,000 | 7.4062 | $ 29,624.63 | |
| 9 | $ 4,000 | 6.5833 | $ 26,333.00 | |
| 10 | $ 4,000 | 5.8518 | $ 23,407.11 | |
| 11 | $ 4,000 | 5.2016 | $ 20,806.32 | |
| 12 | $ 4,000 | 4.6236 | $ 18,494.51 | |
| 13 | $ 10,000 | 4.1099 | $ 41,098.91 | |
| 14 | $ 13,000 | 3.6532 | $ 47,492.07 | |
| 15 | $ 13,000 | 3.2473 | $ 42,215.17 | |
| 16 | $ 13,000 | 2.8865 | $ 37,524.60 | |
| 17 | $ 13,000 | 2.5658 | $ 33,355.20 | |
| 18 | $ 13,000 | 2.2807 | $ 29,649.07 | |
| 19 | $ 13,000 | 2.0273 | $ 26,354.72 | |
| 20 | $ 13,000 | 1.8020 | $ 23,426.42 | |
| 21 | $ 16,000 | 1.6018 | $ 25,628.91 | |
| 22 | $ 16,000 | 1.4238 | $ 22,781.25 | |
| 23 | $ 16,000 | 1.2656 | $ 20,250.00 | |
| 24 | $ 16,000 | 1.1250 | $ 18,000.00 | |
| 25 | $ 16,000 | 1.0000 | $ 16,000.00 | |
| Total | $ 7,08,583.38 | |||