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An investor plans the following investments for the next 20 years: 12.00 years of $10,075.00 per...

An investor plans the following investments for the next 20 years: 12.00 years of $10,075.00 per year, and 8.00 years of $13,775.00 per year.
She thinks his investments will earn 4.00% 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?

Solutions

Expert Solution

Year Cashflows PVF Present values
0 0 1 0
1 10075 0.961538 9687.5
2 10075 0.924556 9314.904
3 10075 0.888996 8956.638
4 10075 0.854804 8612.152
5 10075 0.821927 8280.916
6 10075 0.790315 7962.419
7 10075 0.759918 7656.172
8 10075 0.73069 7361.704
9 10075 0.702587 7078.561
10 10075 0.675564 6806.309
11 10075 0.649581 6544.528
12 10075 0.624597 6292.815
13 13775 0.5627 7751.193
14 13775 0.506937 6983.057
15 13775 0.4567 6291.042
16 13775 0.411441 5667.606
17 13775 0.370668 5105.951
18 13775 0.333935 4599.956
19 13775 0.300842 4144.104
20 13775 0.271029 3733.427
Present value of cash outflows 138831
Amount to be kept aside today: 138831
Note: Here PVF is computed by applying 4% for first 12yrs and then 11% afterwards on PVf of 12th year

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