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.