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Auto Loan and Amortization Calculator

Auto Loan Payment Formula:

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

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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 loan over a specified term. It accounts for the principal amount, interest rate, and loan duration to determine the payment amount.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

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

Where:

Explanation: The formula accounts for compound interest over the life of the loan, ensuring each payment covers both principal and interest.

3. Understanding Amortization

Details: Amortization is the process of spreading out a loan into fixed payments over time. Early payments consist mostly of interest, while later payments apply more to the principal.

4. Using the Calculator

Tips: Enter the loan amount in USD, annual interest rate as a percentage, and loan term in months. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How does loan term affect 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 a car payment?
A: This calculator shows principal and interest only. Actual payments may include taxes, fees, and insurance.

Q3: How does interest rate affect payments?
A: Higher rates increase both monthly payments and total interest paid. Even small rate differences can significantly impact total cost.

Q4: What is amortization schedule?
A: A table showing how each payment is split between principal and interest, and the remaining balance over time.

Q5: Should I make a down payment?
A: Down payments reduce the principal amount, leading to lower monthly payments and less total interest.

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