Fritz Benjamin buys a car costing $10300. He agrees to make payments at the end of each monthly period for 8 years. He pays 9.6% interest, compounded monthly. What is the amount of each payment? Find the total amount of interest Fritz will pay. Fritz's monthly payment is $ (Round to the nearest cent.) Fritz will pay a total of $ in interest. (Round to the nearest cent.)

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
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**Car Loan Payment Calculation Example**

Fritz Benjamin purchases a car for $10,300. He agrees to make payments at the end of each month for 8 years. The interest rate is 9.6%, compounded monthly. Determine the monthly payment and the total interest paid over the loan period.

**Calculations:**

1. **Monthly Payment Calculation:**
   - Utilize the formula for calculating payments on an annuity:
   - **P = [r(PV)] / [1 - (1 + r)^-n ]**
   - Where:
     - P = monthly payment
     - r = monthly interest rate (annual rate / 12 months)
     - PV = present value (loan amount)
     - n = total number of payments (years * 12)
   - Note: After calculation, round the amount to the nearest cent.

2. **Total Interest Calculation:**
   - Total payments made = monthly payment * total number of payments
   - Total interest = Total payments - loan amount
   - Note: After calculation, round the amount to the nearest cent.

**Results to be found:**

- Fritz's monthly payment is $_____. (Round to the nearest cent)
- Fritz will pay a total of $_____ in interest. (Round to the nearest cent)
Transcribed Image Text:**Car Loan Payment Calculation Example** Fritz Benjamin purchases a car for $10,300. He agrees to make payments at the end of each month for 8 years. The interest rate is 9.6%, compounded monthly. Determine the monthly payment and the total interest paid over the loan period. **Calculations:** 1. **Monthly Payment Calculation:** - Utilize the formula for calculating payments on an annuity: - **P = [r(PV)] / [1 - (1 + r)^-n ]** - Where: - P = monthly payment - r = monthly interest rate (annual rate / 12 months) - PV = present value (loan amount) - n = total number of payments (years * 12) - Note: After calculation, round the amount to the nearest cent. 2. **Total Interest Calculation:** - Total payments made = monthly payment * total number of payments - Total interest = Total payments - loan amount - Note: After calculation, round the amount to the nearest cent. **Results to be found:** - Fritz's monthly payment is $_____. (Round to the nearest cent) - Fritz will pay a total of $_____ in interest. (Round to the nearest cent)
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