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It is estimated that the average principal owed for student loans in 2014 was $28,950 per student.† If market rates go up and the interest rate for student loans increases from 4.29% to 6.8%, estimate how much more interest students will pay over a 10-year repayment period for this average amount owed, at the 6.8% rate as compared with a rate of 4.29%. Round all figures to the nearest cent.

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First compute the interest that the student pay with the first rate:

28,950(1+0.0429)^(10)= 44063
Then compute the interest using the second rate, like this:

28,950(1+0.068)^(10)=55893
Now compute the difference:

55893-44063=11830
The student will pay $11830 more.
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