You are planning for an early retirement. You would like to retire at age 40 and have enough money saved to be able to withdraw $220,000 per year for the next 30 years (based on family history, you think you will live to age 70). You plan to save by making 20 equal annual installments (from age 20 to age 40) into a fairly risky investment fund that you expect will earn 8% per year. You will leave the money in this fund until it is completely depleted when you are 70 years old.
Requirements
1. How much money must you accumulate by retirement to make your plan work? (Find the present value of the $220,000 withdrawals.)
2. How does this amount compare to the total amount you will withdraw from the investment during retirement? How can these numbers be so different?