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Nerdwallet Auto Loan Calculator

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 term. This is the standard formula used by lenders to determine your monthly car payment amount.

2. How Does the Calculator Work?

The calculator uses the auto loan payment formula:

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

Where:

Explanation: The formula accounts for both principal and interest payments over the life of the loan, with more interest paid earlier in the loan term.

3. Importance of Auto Loan Calculation

Details: Understanding your monthly payment helps with budgeting and ensures the loan fits your financial situation before committing to a purchase.

4. Using the Calculator

Tips: Enter the total loan amount (after down payment), annual interest rate, and loan term in months. All values must be valid (amount > 0, rate ≥ 0, term ≥ 1 month).

5. Frequently Asked Questions (FAQ)

Q1: Does this include taxes and fees?
A: No, this calculates only the principal and interest portion. Additional costs like sales tax, registration, and documentation fees would increase your total payment.

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 interest.

Q3: What's a good interest rate for a car loan?
A: Rates vary by credit score, but as of 2023, rates between 3-6% are considered good for borrowers with excellent credit.

Q4: Should I make a down payment?
A: A down payment of at least 20% is recommended to avoid being "upside down" on your loan (owing more than the car's value).

Q5: How can I reduce my monthly payment?
A: You can reduce payments by making a larger down payment, choosing a longer loan term, or securing a lower interest rate.

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