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Auto Loan Calculator With Down Payment

Auto Loan Payment Formula:

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

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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 term, accounting for the loan amount, interest rate, and down payment.

2. How Does the Calculator Work?

The calculator uses the auto loan payment formula:

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

Where:

Explanation: The formula accounts for the time value of money, calculating equal monthly payments that pay off the loan plus interest over the term.

3. Importance of Loan Payment Calculation

Details: Knowing your exact monthly payment helps with budgeting and comparing loan offers. It shows how down payments and loan terms affect your payment amount.

4. Using the Calculator

Tips: Enter the total vehicle price as principal, your planned down payment, the annual interest rate, and loan term in months. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How does a larger down payment affect my payment?
A: A larger down payment reduces the loan amount, resulting in a lower monthly payment and less total interest paid.

Q2: What's better - shorter term with higher payment or longer term with lower payment?
A: Shorter terms mean less total interest but higher payments. Longer terms have lower payments but cost more overall.

Q3: Does this include taxes and fees?
A: No, this calculates only the principal and interest portion. Taxes, registration, and fees would be additional.

Q4: How accurate is this calculator?
A: It provides exact mathematical results for fixed-rate loans. Actual lender quotes may vary slightly.

Q5: Can I use this for other types of loans?
A: Yes, this formula works for any fixed-rate installment loan (mortgages, personal loans, etc.).

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