Auto Calculator with Payoff
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Reviewed by Calculator Editorial Team
This auto loan payoff calculator helps you determine how much you'll pay in interest over the life of your loan, your monthly payment amount, and how quickly you'll pay off your loan. Simply enter your loan details and see the results instantly.
How to Use This Calculator
Using this auto loan payoff calculator is simple. Follow these steps:
- Enter the loan amount you're considering or currently have.
- Input the annual interest rate for your loan.
- Specify the loan term in years.
- Click the "Calculate" button to see your results.
The calculator will display your monthly payment amount, total interest paid over the life of the loan, and the total amount paid (principal + interest).
Formula Used
Monthly Payment Formula
The monthly payment (PMT) is calculated using the standard loan payment formula:
PMT = P × [r(1 + r)^n] / [(1 + r)^n - 1]
Where:
- P = principal loan amount
- r = monthly interest rate (annual rate divided by 12)
- n = number of payments (loan term in years × 12)
Total Interest Paid
Total interest paid = (Monthly payment × Number of payments) - Principal loan amount
Total Amount Paid
Total amount paid = Principal loan amount + Total interest paid
Worked Example
Let's calculate the payoff for a $20,000 auto loan with a 5% annual interest rate over 4 years (48 months).
- Principal (P) = $20,000
- Annual interest rate = 5% or 0.05
- Monthly interest rate (r) = 0.05 / 12 ≈ 0.004167
- Number of payments (n) = 48
Using the monthly payment formula:
PMT = 20,000 × [0.004167(1 + 0.004167)^48] / [(1 + 0.004167)^48 - 1]
Calculating this gives a monthly payment of approximately $432.87.
Total interest paid = (432.87 × 48) - 20,000 = $2,104.96
Total amount paid = $20,000 + $2,104.96 = $22,104.96
Interpreting Results
The results from this calculator provide several key pieces of information:
- Monthly Payment: This is the amount you'll pay each month to pay off your loan.
- Total Interest Paid: This shows how much you'll pay in interest over the life of the loan.
- Total Amount Paid: This is the sum of your principal loan amount and the total interest paid.
Comparing different loan options can help you make an informed decision about which loan is most affordable for you.
Tip
Consider making extra payments to reduce the total interest paid and pay off your loan faster. Even small extra payments can make a significant difference over time.
Frequently Asked Questions
What is the difference between APR and interest rate?
APR (Annual Percentage Rate) is the cost of credit expressed as a yearly rate, while the interest rate is the actual percentage charged on your loan. APR includes additional fees and costs, making it a more accurate representation of the true cost of borrowing.
How does a longer loan term affect my monthly payments?
A longer loan term typically results in lower monthly payments but means you'll pay more in interest over the life of the loan. A shorter term usually means higher monthly payments but less total interest paid.
Can I pay off my auto loan early without penalty?
Most auto loans allow you to pay off the loan early without penalty. However, check your loan agreement to confirm there are no prepayment penalties. Paying off early can save you money on interest.