Actuarial method: 60-month fixed installment loan w/ monthly pymt $50.69

Brittanyluv256

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Apr 20, 2018
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Enrique has a 60-month fixed installment loan, with a monthly payment of $50.69. The amount he borrows was $2500. Instead of making his 36th payment, he is paying the remaining balance on the loan. How much interest will he save?

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Enrique has a 60-month fixed installment loan, with a monthly payment of $50.69. The amount he borrows was $2500. Instead of making his 36th payment, he is paying the remaining balance on the loan. How much interest will he save?

Sent from my REVVLPLUS C3701A using Tapatalk

Have you considered calculating the pieces?

Balance at Inception: $2,500.00
1st Payment Due in One Month.
Total Payable: 60 * $50.69 = $3,041.40
Effective Monthly Interest Rate: 0.66659811% (8% Nominal Annual) <== This is the ONLY hard part. Use a calculator.
Total Interest: $3,041.40 - $2,500.00 = $541.40


Okay, how does it look like at the time the 36th payment is due?
Balance at Due Date of 36th Payment: ??1
Payment #36 Due Immediately. <== This is a very important point.
Total Payable: (60-35) * $50.69 = ??2
Total Interest: ??2 - ??1 = ??3

The most difficult aspect of this problem might be simply keeping track of the pieces. Feel free to WRITE THEM DOWN in an organized fashion - such a that shone above.
 
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