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Car Loan Payoff Calculator

Car Loan Payoff Formula:

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

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1. What is the Car Loan Payoff Calculator?

The Car Loan Payoff Calculator determines the remaining balance (payoff amount) on a car loan based on your monthly payment, interest rate, and remaining payment periods.

2. How Does the Calculator Work?

The calculator uses the loan payoff formula:

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

Where:

Explanation: The formula calculates the present value of the remaining loan 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/trading in your vehicle.

4. Using the Calculator

Tips: Enter your exact monthly payment, monthly interest rate (annual rate ÷ 12), and remaining number of payments. 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 = 0.06/12 = 0.005 monthly rate.

Q2: Does this include any prepayment penalties?
A: No, this calculates only the remaining principal balance. Check your loan terms for any additional fees.

Q3: Why is my payoff amount different from my remaining balance?
A: Payoff amounts often include accrued interest up to the payoff date, while remaining balance shows principal only.

Q4: Can I use this for other types of loans?
A: Yes, this works for any amortized loan with fixed payments (mortgages, personal loans, etc.).

Q5: How accurate is this calculator?
A: It's mathematically precise for fixed-rate loans. For variable-rate loans, results may vary as rates change.

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