Calculator for Auto Loan Payment

This calculator helps you determine your monthly auto loan payment based on the loan amount, interest rate, and loan term. Understanding your monthly payment is essential when considering a car loan, as it affects your budget and financial planning.

How to Use This Calculator

To calculate your auto loan payment:

Enter the loan amount (the total cost of the vehicle).
Enter the annual interest rate (APR) offered by the lender.
Select the loan term (how many years you'll repay the loan).
Click the Calculate button to see your monthly payment.

The calculator will display your estimated monthly payment, total interest paid over the life of the loan, and a breakdown of how much goes toward principal and interest each month.

Formula Used

The auto loan payment is calculated using the standard loan payment formula:

M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1 ] Where: M = Monthly payment P = Principal loan amount i = Monthly interest rate (annual rate divided by 12) n = Number of payments (loan term in years multiplied by 12)

This formula accounts for the interest charged on the outstanding loan balance each month, which is why the monthly payment remains the same throughout the loan term.

Worked Example

Let's calculate the monthly payment for a $25,000 car loan at 4.5% APR over 5 years:

Principal (P) = $25,000
Annual interest rate = 4.5% or 0.045
Monthly interest rate (i) = 0.045 / 12 ≈ 0.00375
Loan term in months (n) = 5 × 12 = 60

Plugging these values into the formula:

M = 25000 [ 0.00375(1 + 0.00375)^60 ] / [ (1 + 0.00375)^60 - 1 ] ≈ $456.23 per month

Over 5 years, you would pay a total of $13,637.80 in interest, with the total amount repaid being $38,637.80.

Frequently Asked Questions

What is the difference between APR and interest rate?

The Annual Percentage Rate (APR) is the total annual cost of borrowing, including any fees, while the interest rate is the percentage charged on the loan amount. APR is typically higher than the interest rate because it includes additional costs.

How does a longer loan term affect my monthly payment?

A longer loan term means lower monthly payments but more total interest paid over the life of the loan. A shorter term results in higher monthly payments but less total interest paid.

Can I pay extra toward my loan without penalty?

Many lenders allow prepayment of loans without penalty. Paying extra can reduce the total interest paid and pay off the loan faster. Check with your lender for specific policies.