Question

In: Finance

An investor plans the following investments for the next 20 years: 12.00 years of $10,550.00 per...

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.

Solutions

Expert Solution

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

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