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Auto Loan Payment Calculator

Auto Loan Payment Formula:

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

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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 term. It accounts for the loan amount, interest rate, and repayment period.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

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

Where:

Explanation: The formula calculates the fixed payment needed to fully amortize (pay off) the loan over the specified term, including both principal and interest.

3. Importance of Loan Payment Calculation

Details: Knowing your exact monthly payment helps with budgeting and comparing loan offers. It also shows how much interest you'll pay over the life of the loan.

4. Using the Calculator

Tips: Enter the total loan amount (after any down payment), the annual interest rate (APR), and the loan term in months (e.g., 60 for 5 years). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How does loan term affect monthly payments?
A: Longer terms reduce monthly payments but increase total interest paid. Shorter terms have higher payments but lower total interest.

Q2: What's included in the monthly payment?
A: This calculation includes principal and interest only. Your actual payment may include insurance, taxes, and fees.

Q3: How accurate is this calculator?
A: It provides the exact mathematical payment amount. Actual loan offers may vary slightly due to rounding or lender-specific practices.

Q4: Can I calculate total interest paid?
A: Yes, multiply the monthly payment by the term, then subtract the principal: Total Interest = (PMT × n) - PV

Q5: How does a larger down payment affect the loan?
A: A larger down payment reduces PV (loan amount), which lowers both monthly payments and total interest.

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