Auto Loan Calculator
Estimate payment, interest, cash due, and a monthly schedule while keeping tax and trade assumptions visible.
Estimated fixed payment
Assumption receipt
Trade-in value is not counted as cash paid in “cash due + scheduled payments.” Estimated tax is rounded once to cents before it is financed or paid upfront.
Monthly amortization — up to 120 rows
Calculations keep unrounded balances. Displayed rows round each value to cents, so a row can appear one cent apart; the final unrounded balance is exactly $0.00.
Annual summary
How to estimate an auto loan
Enter the vehicle price, annual rate used for this estimate, and a whole-month term. Expand Trade, tax, fees, and cash down to model the purchase in more detail. Choose Calculate auto loan only after the values and the two explicit treatment choices match the quote you want to compare.
The amount before tax and entered fees is vehicle price minus cash down and trade allowance, plus the amount still owed on the trade. This makes trade equity auditable: a $10,000 allowance with a $12,000 payoff is −$2,000 negative equity and increases the base amount financed by $2,000.
Choose the taxable basis instead of assuming a state rule
Vehicle sales-tax treatment is not uniform. California publishes an example where a trade allowance does not reduce the taxable selling price, while New York describes circumstances in which a qualifying trade-in allowance reduces the taxable receipt. This calculator therefore offers two assumptions: tax the full entered price, or subtract an eligible trade allowance and floor the basis at $0. It never infers a state, county, eligibility rule, or tax rate.
Estimated tax is calculated from the chosen basis and the rate you enter, then rounded once to the nearest cent using half-away-from-zero integer arithmetic. Your written purchase document controls; a dealer or tax authority can use different inclusions or rounding.
Financed versus upfront tax and fees
If tax and entered fees are financed, they are added once to principal and earn interest. If they are paid upfront, they are added once to the model's cash due and stay out of principal. The receipt repeats the choice, taxable basis, tax, fees, cash due, and amount financed so you can trace the result.
Payment formula and 0% handling
For a positive annual rate, the regular payment is L × r ÷ (1 − (1 + r)−n), where L is amount financed, r is the monthly rate, and n is the number of months. The implementation uses log1p and expm1 for a stable denominator. At exactly 0%, it uses L ÷ n directly and never divides by the positive-rate denominator.
Monthly and annual tables come from the same unrounded schedule. Each display value is rounded to cents; totals are sums of unrounded rows rounded once, rather than sums of already rounded cells. The final row pays the remaining unrounded balance plus that month's interest and forces the ending balance to exactly zero.
Limits and professional boundary
This browser-only V1 accepts plain nonnegative dollar decimals, tax from 0%–25%, an annual rate from 0%–100%, 1–120 whole months, and at most $20,000,000 financed. It estimates a fixed-rate, fully amortizing purchase loan with end-of-month payments.
It is an educational estimate, not a lender quote, contractual APR calculation, credit decision, affordability recommendation, tax determination, or financial or legal advice. It does not provide live rates, lender matching, automatic tax tables, leases, refinancing, balloon or biweekly plans, early payoff, rebates, insurance, maintenance, depreciation, or ownership-cost advice. Compare the full written out-the-door price, disclosures, and payment schedule with the dealer, lender, and relevant tax authority.
Browser-only privacy
The engine is bundled with this static page. Calculation, table expansion, reset, and receipt preparation do not fetch a rate or send application data. The calculator does not put entered or derived amounts in query parameters, URL fragments, local storage, session storage, IndexedDB, cookies, structured data, or analytics. Measurement is limited to fixed actions and fixed validation error codes with the canonical page address.
Frequently asked questions
How does this auto loan calculator estimate the monthly payment?
It uses a fixed-rate, end-of-month amortizing-loan formula. The amount financed, annual rate, and whole-month term determine a level regular payment; the last payment uses the remaining unrounded balance and may differ by a few cents.
Does the calculator work at a 0% annual rate?
Yes. At exactly 0%, it divides the amount financed by the number of months instead of evaluating the interest-bearing formula. The schedule still ends at a zero balance.
How does a trade-in with negative equity affect the estimate?
Net trade equity is the entered trade allowance minus the entered payoff. Positive equity reduces the base amount financed; negative equity increases it. The receipt shows the signed amount separately.
Does a trade-in always reduce sales tax?
No. Rules vary. Choose either full vehicle price or vehicle price minus an eligible trade allowance as the taxable basis, then verify that assumption against your written quote and local rules.
Is the annual rate the same as APR?
Not necessarily. APR can include certain lender fees as well as interest. This page uses the entered annual percentage as its payment rate and does not calculate or verify contractual APR.
Are my price, trade, tax, or loan values saved or uploaded?
No. The calculation runs in this browser. The tool does not place financial values in the URL, browser storage, cookies, structured data, application requests, or analytics parameters.
Sources and method
- Federal Reserve — installment-loan payment formula
- Consumer Financial Protection Bureau — how auto-loan amortization works
- Consumer Financial Protection Bureau — interest rate versus APR
- Federal Trade Commission — financing a vehicle and comparing total cost
- Federal Trade Commission — trade-ins and negative equity
- California Department of Tax and Fee Administration — full-price trade-in example
- New York State Department of Taxation and Finance — qualifying trade-in credit