3
QuizMultiple Choice

Student Loans

Question 3 • SEPHS - BUS 240 - Personal Finance (Summer)

Sebastian has just graduated after four years of university. He took out an unsubsidized Stafford loan worth $8,180 to help pay for his tuition. The loan has a duration of ten years. If the loan has an interest rate of 5.3%, compounded monthly, how much interest capitalization has occurred by the time he graduated? Round all dollar values to the nearest cent.

Answer
A
$721.93
B
$842.25
C
$1,926.97
D
$1,734.24

Explanation

Interest on an unsubsidized loan accrues while Sebastian is in school and is capitalized at graduation. Over four years, it compounds for 4 × 12 = 48 months: $8,180 × [(1 + 0.053/12)^48 − 1] ≈ $1,926.97. The correct choice is $1,926.97; the ten-year repayment duration does not affect the interest accrued before graduation.

AI-written and checked against the verified answer.

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