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Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

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BuyFindarrow_forward

Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447
Textbook Problem

Calculate the finance charge and the annual percentage rate for the following installment loans by using the APR formula.

Amount Number of Monthly Finance
Financed Payments Payment Charge APR
29. $100,000 72 $2,055.50

To determine

To calculate: The finance charge and annual percentage rate if amount financed is $100,000, number of payments is 72 and monthly payment is $2,055.50.

Explanation

Given Information:

The amount financed is $100,000, number of payments is 72 and monthly payment is $2,055.50.

Formula used:

When the table to compute APR is not given, the annual percentage rate (APR) is computed by the formula:

APR=72I3P(n+1)+I(n1)

Where, I is finance charge on the loan, P is principal or amount financed and n is number of monthly payment of the loan.

Calculation:

Consider that amount financed is $100,000, number of payments is 72 and monthly payment is $2,055.50.

Compute the total amount of installment payments by substituting monthly payment and number of monthly payments:

Total amount of installment payments=Payment per month×Number of monthly payments=$2,055.50×72=$147,996

Hence, the total amount of installment payment is $147,996.

Compute the finance charge by substituting total amount of installment payment and amount financed:

Finance charge=Total amount of installment paymentAmount financed=$147,996$100,000=$47,996

Hence, the finance charge is $47,996

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Sect-13.I P-8RESect-13.I P-9RESect-13.I P-10RESect-13.I P-11RESect-13.I P-12RESect-13.I P-13RESect-13.I P-14RESect-13.I P-15RESect-13.I P-16RESect-13.I P-17RESect-13.I P-18RESect-13.II P-4TIESect-13.II P-5TIESect-13.II P-6TIESect-13.II P-7TIESect-13.II P-8TIESect-13.II P-9TIESect-13.II P-1RESect-13.II P-2RESect-13.II P-3RESect-13.II P-4RESect-13.II P-5RESect-13.II P-6RESect-13.II P-7RESect-13.II P-8RESect-13.II P-9RESect-13.II P-10RESect-13.II P-11RESect-13.II P-12RESect-13.II P-13RESect-13.II P-14RESect-13.II P-15RESect-13.II P-16RESect-13.II P-17RESect-13.II P-18RESect-13.II P-19RESect-13.II P-20RESect-13.II P-21RESect-13.II P-22RESect-13.II P-23RESect-13.II P-24RESect-13.II P-25RESect-13.II P-26RESect-13.II P-27RESect-13.II P-28RESect-13.II P-29RESect-13.II P-30RESect-13.II P-31RESect-13.II P-32RESect-13.II P-33RESect-13.II P-34RESect-13.II P-35RESect-13.II P-36RESect-13.II P-37RESect-13.II P-38RESect-13.II P-39RESect-13.II P-40RESect-13.II P-41RESect-13.II P-42RESect-13.II P-43RESect-13.II P-44RESect-13.II P-45RESect-13.II P-46RESect-13.II P-47RESect-13.II P-48RESect-13.II P-49RESect-13.II P-50RESect-13.II P-51RESect-13.II P-52RESect-13.II P-53RESect-13.II P-54RESect-13.II P-55RECh-13 P-1CRCh-13 P-2CRCh-13 P-3CRCh-13 P-4CRCh-13 P-5CRCh-13 P-6CRCh-13 P-7CRCh-13 P-8CRCh-13 P-9CRCh-13 P-10CRCh-13 P-11CRCh-13 P-12CRCh-13 P-13CRCh-13 P-14CRCh-13 P-1ATCh-13 P-2ATCh-13 P-3ATCh-13 P-4ATCh-13 P-5ATCh-13 P-6ATCh-13 P-7ATCh-13 P-8ATCh-13 P-9ATCh-13 P-10ATCh-13 P-11ATCh-13 P-12ATCh-13 P-13ATCh-13 P-14ATCh-13 P-15AT

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