How the car payment calculator works
A car loan is repaid in equal monthly installments over a fixed number of months. Each payment is the same size, but the split between interest and principal changes over time. This calculator takes your vehicle price, down payment, trade-in, sales tax, APR, and term, then returns the monthly payment, the total interest, and the full cost of the loan.
Building the loan amount
The amount you actually finance is smaller than the sticker price. It starts from the price, adds sales tax, then subtracts anything you pay up front:
- Loan amount = price + sales tax − down payment − trade-in value
- Sales tax = price × tax rate
For example, a $25,000 car with no tax, no down payment, and no trade-in finances the full $25,000. Add a $5,000 down payment and you finance $20,000 instead. If any of these values would push the loan below zero, the calculator floors it at zero.
The amortization formula
Once the loan amount is set, the monthly payment comes from the standard amortization formula. Let P be the loan amount, r the monthly interest rate (the APR divided by 12 and by 100), and n the number of monthly payments:
- When r is greater than 0:
M = P × r ÷ (1 − (1 + r)^−n) - When r is 0 (a 0% deal):
M = P ÷ n
The monthly rate matters because auto loans compound monthly. A 6% APR is a 0.5% monthly rate (6 ÷ 100 ÷ 12 = 0.005), not 6% per month.
How term length trades payment for interest
A longer term spreads the balance over more months, so the monthly payment falls, but you pay interest for more of those months, so the total interest rises. A shorter term does the opposite: a higher monthly payment, less interest overall.
Using the same $25,000 loan at 6% APR:
- 36 months: about $760.55 per month, roughly $2,380 total interest
- 60 months: about $483.32 per month, roughly $3,999 total interest
- 72 months: about $414.32 per month, roughly $4,831 total interest
Stretching from 36 to 72 months cuts the payment by nearly half but more than doubles the interest you pay. Pick the shortest term whose payment you can comfortably afford.
A fully worked example
Take a $25,000 loan (no tax, no down payment, no trade-in) at 6% APR over 60 months:
- Monthly rate:
r = 6 ÷ 100 ÷ 12 = 0.005 - Payments:
n = 60 (1 + r)^−n = 1.005^−60 ≈ 0.7413721 − 0.741372 = 0.258628M = 25,000 × 0.005 ÷ 0.258628 ≈ 483.32
So the payment is about $483.32 per month. Over 60 months that is 483.32 × 60 ≈ $28,999, which means about $3,999 in interest above the $25,000 borrowed. (Add sales tax, a down payment, or a trade-in and the loan amount, and therefore the payment, shifts accordingly.)
What the estimate leaves out
This calculator covers the loan math and optional sales tax, but a real deal has more moving parts. It does not include documentation and dealer fees, registration and title costs, extended warranties or add-ons, gap insurance, or your regular auto insurance. Promotional or manufacturer financing may also change the effective rate.
These figures are estimates for planning and budgeting only, not financial advice. Your actual APR, payment, and total cost depend on your credit, the lender, and local taxes and fees, so confirm the final numbers with your lender before you sign.