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John has just graduated from State University. He owes $35,000 in college loans, but he does not have a job yet. The college loan company has agreed to give John a break on a deferred-payment plan that works as follows. John will not have to repay his loan for 5 years. During this “grace period” the loan obligation will compound at 4% per year. For the next 5 years, a monthly payment will be required, and the interest rate will be 0.5% per month. What will be John’s monthly payment over the 60-month repayment period?

1 Answer

3 votes

Answer:

The correct response is "821.88". A further explanation is given below.

Step-by-step explanation:

According to the question,

The largest amount unresolved after five years would have been:

=
35000* ((F)/(P), 4 \ percent,5 )

=
35000* 1.216 7

=
42584.50

Now,

time (t) will be:

=
5* 12

=
60 \ monthly \ payments

So, monthly payment will be:

=
42582.85* ((A)/(P), 0.5 \ percent,60 )

=
42584.50* 0.0193

=
821.88

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