117
RCMultiple Choice

Topic Test — Cumulative exam

Question 117 • ****Spring 2026 Financial Math - MA2007 MQS21QXV

For the last 20 years, Terry has made regular quarterly payments in the amount of $308 into an account paying 1.5% compounded quarterly. If, at the end of the 20 year period, Terry stops making deposits, transfers the balance to an account paying 5.5% interest compounded annually, and withdraws a annual salary from the account, determine the amount that he will receive every year for 10 years. Round to the nearest cent.

Answer
A
$28,672.88
B
$3,803.97
C
$28,780.40
D
$3,074.66

Explanation

First find the balance after 80 quarterly deposits: $308 × [((1 + 0.015/4)^80 − 1)/(0.015/4)] = $28,672.88. This balance funds 10 equal annual withdrawals at 5.5%, so the annual amount is $28,672.88 × [0.055/(1 − 1.055^−10)] = $3,803.97. Terry will receive $3,803.97 each year, choice B.

AI-written and checked against the verified answer.

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