Gertrude takes out a $5,500 subsidized Stafford loan, which must be paid back in ten years. Gertrude will graduate four years after taking out the loan. If the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments, how much interest will she pay by the time the loan is repaid

$2,095.30 interest will she pay by the time the loan is repaid

Solution:

The $5,500 guaranteed Stafford loan is taken from Gertrude.

The loan has a monthly compounding interest rate of 6.8 percent.

Price current= $5,500.

Present Value = $5,500

Time period = 10 years

So , N = 10 x 12 = 120 months.

Interest rate, R = 6.8/1200 = 0.005666667

PV = Pmt * [1 - (1+R)^(-N)]/(R)

5500 = Pmt * [1 - (1+0.005666667)^(-120)]/(0.005666667)

Pmt = $63.29418157

She got full refund. = 63.29418157 x 120 = $7,595.30

Interest paid = Total repayment - Loan Principal

                      = $7,595.30 - $5,500

                      = $2,095.30

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