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Tuition at CSUB is $5472 per year. suppose you attend 4 years and take out a loan to pay for
90% of the total tuition. To keep things simple we’ll assume that no interest accrues until you begin making payments. If you have an annual interest rate of 3.86% and pay off the loan in 10 years. What will be the total cost of this loan? How much of the total cost is interest?
 Mar 10, 2014
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Tuition at CSUB is $5472 per year. suppose you attend 4 years and take out a loan to pay for
90% of the total tuition. To keep things simple we’ll assume that no interest accrues until you begin making payments. If you have an annual interest rate of 3.86% and pay off the loan in 10 years. What will be the total cost of this loan? How much of the total cost is interest?



loan = 5472*4*0.9 = $19,699.20

5472*4*0.9 =

It would depend on how often you are making the repayments. Let's assume you are making the repayments monthly.
This is a present value of an ordinary annuity question.
Present value of an ordinary annuity.JPG

PV = present value = $19699.20
C = monthly payment
i = interest rate per compounding period = 0.0386/12 = 0.003216666666
n = 12*10 = 120 months

19699.20 = C ((1-(1.00321666666666^-120))/0.0032166666666)

C = 19699.20 / ((1-(1.00321666666666^-120))/0.0032166666666)

19699.20/((1-(1.00321666666666^-120))/0.0032166666666)

So the monthly payment will be $198.14

Total repaid over 10 years = 198.14*120

198.14*120

Interest = 23776.80-19699.20

23776.80-19699.20

[size=150]Total Interest = $4077.60[/size] That is assuming that I haven't made any stupid mistakes.
 Mar 11, 2014

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