Question

Suppose you are 2525 years old and would like to retire at age 6565. Furthermore, you would like to have a retirement fund from which you can draw an income of $200,000\$ 200,000 per year-forever! How can you do it? Assume a constant APR\mathrm{APR} of 6%6 \%.

Solution

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Answered 1 year ago
Answered 1 year ago
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The following are given in the problem:

  • Interest per year=$200,000\text{Interest per year}= \$200,000
  • APR=6%\text{APR} = 6\%

If you started the investment at age 2525, and you plan to retire at 6565, then the investment period is given by

6525=4065 - 25 = 40

Hence, Y=40\bold{Y} =40.

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