Auto Loan Calculator with Payoff and Trade
This auto loan calculator helps you determine monthly payments, loan payoff schedules, and trade-in value when refinancing or purchasing a new vehicle. It accounts for loan terms, interest rates, down payments, and trade-in values to provide a comprehensive financial overview.
How to Use This Calculator
To use this auto loan calculator, follow these steps:
- Enter the loan amount (the total amount you're borrowing).
- Input the interest rate (annual percentage rate).
- Specify the loan term in years.
- Add any down payment if applicable.
- Enter the trade-in value if you're trading in a vehicle.
- Click Calculate to see your monthly payment, total interest, and payoff schedule.
The calculator will display your monthly payment, total interest paid over the life of the loan, and a chart showing the loan payoff schedule. It also accounts for the trade-in value, which reduces the total amount you need to finance.
Formulas Used
The calculator uses standard auto loan formulas to determine monthly payments and loan payoff schedules.
Monthly Payment Formula:
M = P [ i(1 + i)n ] / [ (1 + i)n - 1 ]
Where:
- M = Monthly payment
- P = Principal loan amount (Loan Amount - Down Payment - Trade-in Value)
- i = Monthly interest rate (Annual Rate / 12 / 100)
- n = Number of payments (Loan Term in Years × 12)
Total Interest Paid:
Total Interest = (Monthly Payment × Number of Payments) - Principal
The calculator also generates a loan amortization schedule showing the principal and interest breakdown for each payment.
Worked Example
Let's calculate a monthly payment for a $25,000 loan with a 4.5% annual interest rate over 5 years, including a $3,000 down payment and a $2,000 trade-in value.
Example Inputs:
- Loan Amount: $25,000
- Interest Rate: 4.5%
- Loan Term: 5 years
- Down Payment: $3,000
- Trade-in Value: $2,000
First, calculate the principal loan amount:
Principal = Loan Amount - Down Payment - Trade-in Value
Principal = $25,000 - $3,000 - $2,000 = $20,000
Next, calculate the monthly payment using the formula:
Monthly Interest Rate = 4.5% / 12 / 100 = 0.00375
Number of Payments = 5 × 12 = 60
Monthly Payment = $20,000 [ 0.00375(1 + 0.00375)60 ] / [ (1 + 0.00375)60 - 1 ]
Monthly Payment ≈ $332.47
The total interest paid over the life of the loan would be:
Total Interest = ($332.47 × 60) - $20,000 ≈ $1,948.20
This example shows that with a $20,000 principal, a 4.5% interest rate, and a 5-year term, the monthly payment would be approximately $332.47, with a total interest of about $1,948.20.