Rachel has a 10,000 , three-year loan with an APR of 7.25% . a. What is the monthly payment? b.

step 1 All right, on page 183 of your book, if we go to that table and we look at 7 .25 % over three ye

Rachel has a 10,000 , three-year loan with an APR of 7.25%...

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Key Concepts

Finance Charge

The finance charge is the total cost of borrowing over the life of the loan, calculated as the difference between the total amount paid (all monthly payments combined) and the original principal. It reflects the extra amount paid in interest and fees over the period of the loan.

Monthly Payment Calculation

Calculating the monthly payment on an amortized loan involves using the annuity formula, which takes into account the principal, the monthly interest rate, and the total number of payments. This formula helps determine a constant payment amount that covers both interest and principal repayment over the loan's term.

Amortized Loan

An amortized loan is a loan where the borrower makes regular, fixed payments over a set period. Each payment covers both interest accrued during the period and a portion of the principal, ensuring that the loan is completely paid off by the end of the term.

Annual Percentage Rate (APR)

The APR is the annual rate that represents the cost of borrowing on a yearly basis, including interest and fees. For monthly calculations in amortized loans, the APR is converted to a monthly rate by dividing by 12, which is then used to compute the periodic interest charge on the outstanding balance.

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