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Calculate Payment On Auto Loan

Auto Loan Payment Formula:

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

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1. What is the Auto Loan Payment Formula?

The auto loan payment formula calculates the fixed monthly payment required to repay a car loan over a specified period. It accounts for the principal amount, interest rate, and loan term.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

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

Where:

Explanation: The formula calculates the fixed payment that pays off the loan with interest over the specified term.

3. Importance of Loan Payment Calculation

Details: Knowing your exact monthly payment helps with budgeting and comparing different loan offers to find the most affordable option.

4. Using the Calculator

Tips: Enter the loan amount in dollars, monthly interest rate as a decimal (e.g., 0.005 for 0.5%), and loan term in months. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How do I convert annual rate to monthly?
A: Divide the annual percentage rate (APR) by 12 (months) and by 100 to convert to decimal. For example, 6% APR = 0.06/12 = 0.005 monthly.

Q2: Does this include taxes and fees?
A: No, this calculates only the principal and interest portion. Additional costs like taxes, registration, and insurance are separate.

Q3: What's a typical auto loan term?
A: Common terms are 36, 48, 60, or 72 months. Longer terms mean lower payments but more total interest paid.

Q4: How does down payment affect the payment?
A: A larger down payment reduces the principal amount (P), resulting in a lower monthly payment.

Q5: Can I calculate total interest paid?
A: Yes, multiply the monthly payment by number of payments, then subtract the principal: Total Interest = (PMT × n) - P

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