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Auto Calculator Nerdwallet

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 (PMT) required to repay a car loan over a specified term. It accounts for the principal amount, interest rate, and loan duration.

2. How Does the Calculator Work?

The calculator uses the standard auto loan formula:

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

Where:

Explanation: The formula calculates the fixed payment needed to fully amortize the loan over its term, accounting for compound interest.

3. Importance of Auto Loan Calculation

Details: Understanding your monthly payment helps with budgeting and comparing loan offers. It shows how much car you can afford based on your monthly budget.

4. Using the Calculator

Tips: Enter loan amount in USD, annual interest rate as a percentage (e.g., 5.25), and loan term in months (e.g., 60 for 5 years). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Does this include taxes and fees?
A: No, this calculates only the principal and interest portion. Taxes, registration, and other fees would be additional.

Q2: How does loan term affect payment?
A: Longer terms reduce monthly payments but increase total interest paid. Shorter terms have higher payments but lower total cost.

Q3: What's a typical auto loan interest rate?
A: Rates vary based on credit score, lender, and market conditions. As of 2023, rates typically range from 3% to 15%.

Q4: Should I make a down payment?
A: A down payment reduces the principal amount borrowed, lowering both monthly payments and total interest paid.

Q5: Are there prepayment penalties?
A: Some loans charge fees for early payoff. Check your loan terms if you plan to pay off the loan early.

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