Question

In: Finance

You expect to graduate with $44200 in student loans. The interest rate on your loan is...

You expect to graduate with $44200 in student loans. The interest rate on your loan is 4.8 percent compounded monthly and the loan calls for fixed monthly payments. If you repay the loan in 21 years how much are you paying in total interest over the life of the loan? (HINT: you need to calculate the monthly payment first).

Solutions

Expert Solution

To calculate total interest, first we will calculate the monthly installment after that to find out total payment during the life of loan we will multiply that installment with total no of installment and deduct the outcome from loan amount, the residual will be total interest over the life of the loan
Lets calculate Monthly installment
Principal           44,200
Years of Loan                   21
Total monthly installment                 252 =21*12
Annual Interest Rate 4.80%
Monthly Interest Rate 0.4% (4.8/12)%
Calculation of monthly mortgage payment
=(44200*.4%*(1+.4%)^252)/((1+.4%)^252-1)           278.72
Total Payment Will be made     70,237.44 =278.72*252
Less: Loan Amount     44,200.00
Total interest over the life of loan=70237.44-44200     26,037.44

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