Question

You would like to have enough money saved to receive $80,000 per year in perpetuity after retirement for you and your heirs. How much would you need to have saved in your retirement fund to achieve this goal

Answer 1

Answer:

$1,000,000

Explanation:

The full question is shown below:

You would like to have enough money saved to receive $80,000 per year in perpetuity after retirement for you and your heirs. How much would you need to have saved in your retirement fund to achieve this goal? (Assume that the perpetuity payments start one year from the date of your retirement. The annual interest rate is 8 percent.)

In order to receive $80,000 per year forever, one needs to save the present value of the annual  cash flow using the present value formula for perpetuity as provided below:

PV of perpetuity=annual cash flow/annual interest rate

PV of perpetuity=$80,000/8%

PV of perpetuity=$1,000,000