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Car Loan Prepayment Calculator

Car Loan Prepayment Formula:

\[ RB = PMT \times \frac{1 - (1 + r)^{-m}}{r} \]

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1. What is the Car Loan Prepayment Calculation?

The car loan prepayment calculation determines the remaining balance on a loan after making regular payments. It helps borrowers understand how much they would need to pay to completely settle their auto loan.

2. How Does the Calculator Work?

The calculator uses the prepayment formula:

\[ RB = PMT \times \frac{1 - (1 + r)^{-m}}{r} \]

Where:

Explanation: The equation calculates the present value of all remaining payments at the current interest rate.

3. Importance of Prepayment Calculation

Details: Knowing your remaining balance is crucial when considering refinancing, selling your vehicle, or making a lump sum payment to pay off your loan early.

4. Using the Calculator

Tips: Enter your regular monthly payment amount, the monthly interest rate (annual rate divided by 12), and the number of payments remaining. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How do I find my monthly interest rate?
A: Divide your annual percentage rate (APR) by 12. For example, 6% APR becomes 0.06/12 = 0.005 monthly rate.

Q2: Does this account for extra payments?
A: No, this calculates based on your regular payment amount. For extra payments, you would need a more complex amortization calculator.

Q3: Why is my actual payoff amount different?
A: Lenders may include per-diem interest or fees not accounted for in this basic calculation.

Q4: Can I use this for other loans?
A: Yes, this formula works for any fixed-rate installment loan with equal monthly payments.

Q5: How accurate is this calculation?
A: It's mathematically precise for fixed-rate loans with consistent payments, but doesn't account for variable rates or payment changes.

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