Question

You plan to retire in 30 years and plan to contribute the same amount of money each year to your retirement fund. The fund earns 7% compounded annually. If you would like to withdraw $100,000 each year for 20 years, starting 1 year after the last contribution is made. Approximately how much money should you contribute to your retirement fund each year

Answer 1

$11,215.24

Step-by-step explanation:

After retirement:

Annual Withdrawal = $100,000

Period = 20 years

Annual Interest Rate = 7%

Amount required at retirement = $100,000 * PVIFA(7%, 20)

Amount required at retirement = $100,000 * (1 - (1/1.07)^20) / 0.07

Amount required at retirement = $100,000 * 10.5940

Amount required at retirement = $1,059,400

Before retirement:

Period = 30 years

Annual Deposit * FVIFA(7%, 30) = $1,059,400

Annual Deposit * (1.07^30 - 1) / 0.07 = $1,059,400

Annual Deposit * 94.46079 = $1,059,400

Annual Deposit = $11,215.24

So, you should contribute $11,215.24 each year into your retirement fund.