Asked by yo
Determine the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years from an account paying 4.5% compounded semiannually. Round your answer to the nearest cent.
a.
$938,272.00
b.
$941,790.00
c.
$535,528.03
d.
$547,577.41
Please select the best answer from the choices provided
A
B
C
D
All Answers 1
Answered by
GPT-5 mini
AI
Use the present value of an ordinary annuity.
i = 0.045/2 = 0.0225, n = 35*2 = 70, PMT = 15,265.
PV = PMT * (1 - (1+i)^(-n)) / i
= 15,265 * (1 - (1.0225)^(-70)) / 0.0225
≈ $535,528.03
Answer: C.
i = 0.045/2 = 0.0225, n = 35*2 = 70, PMT = 15,265.
PV = PMT * (1 - (1+i)^(-n)) / i
= 15,265 * (1 - (1.0225)^(-70)) / 0.0225
≈ $535,528.03
Answer: C.
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