Subjects finance

Loan Payoff Acb83E

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Loan Payoff Acb83E


1. **State the problem:** We need to find the finance charge and the monthly payment to amortize a loan of 5400 with an annual interest rate of 13% over 48 monthly payments using the Loan Payoff Table. 2. **Formula and explanation:** The Loan Payoff Table provides a factor based on the interest rate and number of payments. The monthly payment is calculated as: $$\text{Payment} = \text{Loan Amount} \times \text{Table Factor}$$ The finance charge is the total interest paid over the life of the loan, calculated as: $$\text{Finance Charge} = (\text{Payment} \times \text{Number of Payments}) - \text{Loan Amount}$$ 3. **Find the table factor:** For 13% annual interest and 48 months, the Loan Payoff Table factor is approximately 0.02705. 4. **Calculate the monthly payment:** $$\text{Payment} = 5400 \times 0.02705 = 145.87$$ 5. **Calculate the finance charge:** $$\text{Finance Charge} = (145.87 \times 48) - 5400 = 7001.76 - 5400 = 1601.76$$ 6. **Conclusion:** The monthly payment required is $145.87 and the total finance charge over the loan term is $1601.76.