Question

Your sister turned 35 today, and she is planning to save $20,000 per year for retirement, with the first deposit to be made one year from today. She will invest in a mutual fund that's expected to provide a return of 7% per year. She plans to retire 30 years from today, when she turns 65, and she expects to live for 25 years after retirement, to age 90. Under these assumptions, how much can she spend each year after she retires? Her first withdrawal will be made at the end of her first retirement year.

Answer 1

Answer:

She can spend $162,114.58 at the end of each period before she can exhaust the amount.

Explanation:

She will save up to $1,889,215.73 by saving $20,000 per year for 30 years, making the first deposit at the end of a year from today.

FV (Future Value) $1,889,215.73

PV (Present Value) $248,180.82

N (Number of Periods) 30.000

I/Y (Interest Rate) 7.000%

PMT (Periodic Payment) $20,000.00

Starting Investment $0.00

Total Principal $600,000.00

Total Interest $1,289,215.73

She can can retrieve $162,114.58 at the end of each period to reach the future value of $0.00.

FV (Future Value) $-0.00

PV (Present Value) $-0.00

N (Number of Periods) 25.000

I/Y (Interest Rate) 7.000%

PMT (Periodic Payment) $-162,114.58

Starting Investment $1,889,215.73

Total Principal $-2,163,648.74

Total Interest $2,163,648.74