Auto Loan Calculator by Payment Amount
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Reviewed by Calculator Editorial Team
This auto loan calculator helps you determine how much you can borrow based on your monthly payment amount, interest rate, and loan term. Whether you're shopping for a new car or refinancing, this tool provides quick, accurate results to help you make informed financial decisions.
How This Calculator Works
The auto loan calculator by payment amount uses the present value of an annuity formula to determine the loan amount you can afford. This formula accounts for the time value of money and the periodic payments you make toward the loan.
Formula
Loan Amount = PMT × [(1 - (1 + r)-n) / r]
Where:
- PMT = Monthly payment amount
- r = Monthly interest rate (APR ÷ 12 ÷ 100)
- n = Number of payments (Loan term in years × 12)
This formula calculates the present value of a series of future payments, which represents the loan amount you can borrow to make those payments over the loan term at the given interest rate.
How to Use This Calculator
- Enter your monthly payment amount - This is the amount you can afford to pay each month toward your auto loan.
- Enter the annual percentage rate (APR) - This is the interest rate on your loan, typically expressed as a percentage per year.
- Enter the loan term in years - This is the length of time you plan to take to repay the loan.
- Click "Calculate" - The calculator will determine the maximum loan amount you can afford based on your inputs.
Tip: If you're unsure about the APR, check with your lender or credit union for current rates. The loan term is typically between 3 and 7 years for new car loans.
Example Calculation
Let's say you want to make monthly payments of $400, the APR is 5%, and you want to take a 5-year loan. Here's how the calculation works:
| Input | Value |
|---|---|
| Monthly Payment (PMT) | $400 |
| Annual Percentage Rate (APR) | 5% |
| Loan Term (Years) | 5 |
Using the formula:
Loan Amount = $400 × [(1 - (1 + 0.004167)-60) / 0.004167]
Loan Amount ≈ $22,500
This means you can borrow approximately $22,500 with monthly payments of $400 at a 5% APR over 5 years.
Formula Used
The auto loan calculator uses the present value of an annuity formula to calculate the loan amount based on your monthly payment, interest rate, and loan term. The formula is:
Loan Amount = PMT × [(1 - (1 + r)-n) / r]
Where:
- PMT = Monthly payment amount
- r = Monthly interest rate (APR ÷ 12 ÷ 100)
- n = Number of payments (Loan term in years × 12)
This formula accounts for the time value of money and the periodic payments you make toward the loan. It provides an accurate estimate of the loan amount you can afford based on your financial situation.
Frequently Asked Questions
How accurate is this auto loan calculator?
This calculator provides an estimate based on the inputs you provide. For precise figures, consult with your lender or financial advisor, as they can factor in additional details specific to your situation.
Can I use this calculator for refinancing?
Yes, you can use this calculator for both new car loans and refinancing. Simply enter your desired monthly payment, current interest rate, and the term of your new loan to get an estimate of what you can borrow.
What if I want to pay extra each month?
This calculator provides a baseline estimate. If you plan to make additional payments, you can adjust the monthly payment amount to reflect your total monthly contribution and see how it affects the loan amount.
Is the APR the same as the interest rate?
The APR (Annual Percentage Rate) includes the interest rate plus any additional fees, while the interest rate is just the cost of borrowing. For most auto loans, these are similar, but it's important to check with your lender for the exact APR.