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Car Loan Payoff Rates

Car Loan Payoff Formula:

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

$
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months

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1. What is Car Loan Payoff Calculation?

The car loan payoff calculation determines the remaining balance needed to pay off your auto loan completely. It accounts for your monthly payment amount, interest rate, and remaining payment periods.

2. How Does the Calculator Work?

The calculator uses the payoff formula:

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

Where:

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

3. Importance of Payoff Calculation

Details: Knowing your payoff amount helps when considering early loan repayment, refinancing, or selling your vehicle. It gives you the exact amount needed to satisfy the loan obligation.

4. Using the Calculator

Tips: Enter your monthly payment amount in dollars, monthly interest rate as a decimal (divide APR by 12), and remaining number of payments. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How is this different from my loan statement balance?
A: This calculates the theoretical payoff amount based on the formula. Your lender may include additional fees or use slightly different calculation methods.

Q2: Should I use the APR or monthly rate?
A: Convert your annual percentage rate (APR) to a monthly rate by dividing by 12 (e.g., 6% APR = 0.005 monthly rate).

Q3: Does this account for early payment penalties?
A: No, some loans have prepayment penalties that would be added to this calculated amount.

Q4: Why does my payoff amount differ from remaining principal?
A: The payoff includes accrued interest up to the payoff date, while principal is just the original loan amount remaining.

Q5: Can I use this for other installment loans?
A: Yes, this formula works for any fixed-rate installment loan with equal monthly payments.

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