Cal11 calculator

Calculate Monthly Payment Auto

Reviewed by Calculator Editorial Team

Calculating your monthly auto loan payment is essential for budgeting and financial planning. This calculator helps you determine your monthly payment based on loan amount, interest rate, and loan term.

How to Use This Calculator

To calculate your monthly auto loan payment:

  1. Enter the loan amount you're applying for
  2. Input your annual interest rate
  3. Select the loan term in years
  4. Click "Calculate" to see your monthly payment

The calculator will display your estimated monthly payment, total interest paid, and total amount paid over the life of the loan.

Formula Used

The monthly payment for an auto loan is calculated using the standard loan payment formula:

Monthly Payment = P × (r(1 + r)^n) / ((1 + r)^n - 1)

Where:

  • P = Principal loan amount
  • r = Monthly interest rate (annual rate divided by 12)
  • n = Number of payments (loan term in years × 12)

This formula accounts for both the principal and interest portions of your loan payment.

Worked Example

Let's calculate a monthly payment for a $20,000 loan with a 4.5% annual interest rate over 5 years:

  1. Principal (P) = $20,000
  2. Annual interest rate = 4.5% or 0.045
  3. Monthly interest rate (r) = 0.045 / 12 ≈ 0.00375
  4. Number of payments (n) = 5 × 12 = 60

Plugging these values into the formula:

Monthly Payment = $20,000 × (0.00375(1 + 0.00375)^60) / ((1 + 0.00375)^60 - 1)

≈ $20,000 × (0.00375 × 1.2314) / (1.2314 - 1)

≈ $20,000 × 0.0468 / 0.2314

≈ $20,000 × 0.2022

≈ $4,044.40

So, your estimated monthly payment would be approximately $4,044.40.

Frequently Asked Questions

What is the difference between APR and interest rate?
The interest rate is the cost of borrowing, while APR (Annual Percentage Rate) includes additional fees and costs. APR is always higher than the interest rate.
How does loan term affect my monthly payment?
A longer loan term means lower monthly payments but more total interest paid. A shorter term results in higher monthly payments but less total interest.
What is the difference between simple and compound interest?
Simple interest is calculated only on the original principal, while compound interest is calculated on the principal plus previously accumulated interest.
How can I lower my auto loan payments?
You can lower payments by making larger down payments, getting a better interest rate, or extending the loan term.