In: Finance
An investor plans the following investments for the next 20
years: 12.00 years of $10,550.00 per year, and 8.00 years of
$13,950.00 per year.
She thinks his investments will earn 5.00% a year for the first
12.00 years, and then earn 11.00% per year for the last 8.00 years.
How much would the investor have to set aside today if she wants to
fund the entire account?
PLEASE ROUND TO 2 DECIMAL PLACES. THANKS IN ADVANCE.
Answer = $ 114,027.36
Note:
Year | Cash Flow | Discounting Factor | Present Value (Cash Flow * Discounting factor) |
1 | 10550 | 0.952380952 | 10047.61905 |
2 | 10550 | 0.907029478 | 9569.160998 |
3 | 10550 | 0.863837599 | 9113.486665 |
4 | 10550 | 0.822702475 | 8679.511109 |
5 | 10550 | 0.783526166 | 8266.201056 |
6 | 10550 | 0.746215397 | 7872.572435 |
7 | 10550 | 0.71068133 | 7497.688033 |
8 | 10550 | 0.676839362 | 7140.655269 |
9 | 10550 | 0.644608916 | 6800.624066 |
10 | 10550 | 0.613913254 | 6476.784825 |
11 | 10550 | 0.584679289 | 6168.3665 |
12 | 10550 | 0.556837418 | 5874.634762 |
13 | 13950 | 0.257514256 | 3592.323864 |
14 | 13950 | 0.231994825 | 3236.327806 |
15 | 13950 | 0.209004347 | 2915.610636 |
16 | 13950 | 0.188292204 | 2626.676248 |
17 | 13950 | 0.169632616 | 2366.374999 |
18 | 13950 | 0.152822177 | 2131.869368 |
19 | 13950 | 0.137677637 | 1920.603034 |
20 | 13950 | 0.124033907 | 1730.273004 |
Total = | 1,14,027.36 |