Question

Kuley plans to retire in 8 years with $263,700 in her account, which has an annual return of 8.17 percent. If she receives annual payments of X, with her first payment of X received in 8 years and her last payment of X received in 15 years, then what is X, the amount of each payment

Answer 1

Kuley

If she receives annual payments of X, with her first payment of X received in 8 years and her last payment of X received in 15 years, then the amount of each payment is:

X = $50,944.35

Step-by-step explanation:

a) Data and Calculations:

Amount in savings account in 8 years' time = $263,700

Annual return rate = 8.17%

Period of savings from Year 8 to Year 15 = 7 years

Annual payments = X

X = $50,944.35

From an online financial calculator, the payment is determined as follows:

N (# of periods) 7

I/Y (Interest per year) 8.17

PV (Present Value) 263700

FV (Future Value) 0

Results

PMT = $50,944.35

Sum of all periodic payments $356,610.45

Total Interest $92,910.45