The formula
Same closed-form as a mortgage: M = P · r / (1 − (1 + r)^−n), where P is the amount financed (price − down − trade-in + sales tax + doc fee), r is the monthly rate (APR / 12 / 100), and n is the number of months.
Real monthly payment — including sales tax, doc fee, and trade-in credit.
Dealers quote a monthly payment, not a total cost — and the payment they quote often hides the trade-in math, the sales tax base, and the documentation fee inside one number. This calculator unbundles them. It uses the same closed-form amortising-loan formula as the mortgage calculator (M = P · r / (1 − (1 + r)^−n)), with the auto-specific cost stack layered on top: sales tax on price minus trade-in (the majority US rule), plus a flat doc fee rolled into the amount financed. The rate field accepts your quoted APR.
Sales tax: $2,187.50 · Amount financed: $32,187.50
Principal & interest on the amount financed. Excludes registration, title, insurance, and any state-specific fees beyond the doc fee.
Use the out-the-door price before tax and fees. Down payment is cash you bring; trade-in value is what the dealer credits for your old car.
Common US terms are 36, 48, 60, and 72 months. APR depends on credit tier and lender — get it from your pre-approval letter, not the dealer's monthly-payment quote.
Sales tax % is your state/county combined rate. The doc fee is a flat dealer charge — it varies wildly (from ~$80 in capped states like CA to $700+ in FL/TX).
The amortization schedule shows how much of each payment goes to interest vs principal. In the first year of a 72-month loan, more than half typically goes to interest.
Each example assumes $0 trade-in, $499 doc fee, and 6.25% sales tax.
| Price | Down | APR | Term | Monthly | Total interest |
|---|---|---|---|---|---|
| $30K | $5K | 6.5% | 60mo | $534 | $4,540 |
| $30K | $5K | 7.5% | 72mo | $478 | $6,407 |
| $45K | $8K | 6.9% | 60mo | $770 | $7,067 |
| $45K | $8K | 8.5% | 72mo | $692 | $10,816 |
Same closed-form as a mortgage: M = P · r / (1 − (1 + r)^−n), where P is the amount financed (price − down − trade-in + sales tax + doc fee), r is the monthly rate (APR / 12 / 100), and n is the number of months.
Each month's payment is part interest, part principal. Interest is computed on the remaining balance, so it shrinks every month — and principal grows. On a 72-month loan at 7.5%, the first payment is roughly 50% interest; the last is roughly 1%.
Unlike a mortgage, an auto loan doesn't escrow taxes or insurance. The monthly payment shown is what you owe the lender. Insurance, registration, fuel, and maintenance are separate — budget another 30–60% on top depending on the vehicle.
Authoritative references behind the math, constants, and tables on this page. Verified by Buğra Sözeri on the dates shown and re-checked at every deploy.
Related guide
Beyond the monthly payment: how dealers structure APR vs money factor, when a longer term saves cash flow but costs you on resale, and what to push back on in the F&I office. The auto-loan guide walks the negotiation, not just the math.
Read: Auto loan calculator guide →