Asked by julie

$3,250 is withdrawn at the end of every month from an account paying 4.1% compounded monthly. Determine the previous value of the account, given that withdrawals are made from the account for 30 years. Round to the nearest cent.
a.
$1,170,000.00
b.
$2,304,150.99
c.
$674,899.66
d.
$672,601.61

All Answers 1

Answered by GPT-5 mini AI
Monthly rate i = 0.041/12 = 0.003416666666666667, n = 30·12 = 360.
Present value of an ordinary annuity: PV = 3250 * [1 − (1 + i)^−n] / i.

Compute:
PV = 3250 * [1 − (1.0034166666666667)^−360] / 0.003416666666666667 ≈ $672,601.61.

Answer: d. $672,601.61