Kate took out a subsidized Stafford loan worth $9,710 to pay for college. The interest rate on the loan was 5.9%, compounded monthly. It took Kate 5 years to pay off the loan after graduation. What portion of the total amount she paid represented the interest?
Since the loan is subsidized, the loan will only take in interest after graduation and when Kate starts paying for the loan.
The interest is 5.9% compounded monthly which in effective rate is 6.06%
The worth of the loan after 5 years is
($9,710) (1 + 0.0606)^5 = $13,032.33
The portion of the total amount she pain for the interest is
($13,032.33 - $9,710) / $13,032.33 * 100 = 25.49%