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Result

The formula

Amount financed = price − down payment − trade-in. Monthly payment uses the standard amortizing loan formula with monthly rate r = APR/12 and n months — the same engine family as our personal loan calculator.

P = Price − Down − Trade-in · M = P × [r(1+r)^n] / [(1+r)^n − 1]

Worked example

  1. Price $30,000 − $3,000 down − $2,000 trade-in = $25,000 financed
  2. APR 6%, term 60 months → r = 0.005
  3. Payment ≈ $483.32/mo

Result: ≈ $483/mo · interest and totals in the result grid

How auto loan payments are calculated

Dealers quote payment from the financed amount after cash down and trade equity — not from sticker price alone.

Principal after down and trade-in

We subtract cash down and trade-in allowance from the vehicle price. Taxes, fees, gap insurance, and negative equity rolled into the loan are not auto-added — increase price or reduce down if those apply.

Amortization

Equal monthly payments cover interest first; the rest reduces principal. Longer terms lower the payment but raise lifetime interest — a common auto-finance trade-off.

APR vs dealer “rate”

Compare APR and total cost, not only the monthly payment. Add-ons and extended warranties can inflate the amount financed.

Interesting facts

Payment vs total cost

A lower monthly payment from a longer term usually means more interest overall.

Trade-in equity

Trade-in value reduces what you finance; if you owe more than the trade is worth, negative equity may be rolled in (not auto-modeled here).

Same math as personal loans

Fixed-rate amortizing auto loans use the same payment formula as other installment loans.

Cash vs finance

Compare total interest and opportunity cost of cash — not only the advertised monthly payment.

Prepayment

Many auto loans allow extra principal payments; check for prepayment penalties.

Frequently asked questions

Enter vehicle price, down payment, trade-in, APR, and term in months. We finance (price − down − trade-in) with the standard amortization formula.

Not automatically. Add tax/fees into the price field or reduce your down payment if they are financed.

Same payment math — this page adds auto-specific labels for price, down payment, and trade-in.

Shorter terms cost more per month and less interest. Longer terms do the opposite. Match the term to how long you will keep the car.

Trade-in value is subtracted from the vehicle price before financing, along with your down payment. A larger trade-in lowers the amount financed and therefore the monthly payment and total interest.

It depends on credit score, loan term, and whether the vehicle is new or used — lenders publish rate tiers by these factors. Compare offers from multiple lenders and enter each APR here to see the payment difference.

Usually yes — it reduces the amount financed, which lowers both the monthly payment and total interest paid over the loan, as long as the rate and term stay the same.

References

  1. Shopping for a loan — U.S. Federal Trade Commission Consumer tips for comparing installment credit.
  2. What is APR? — Consumer Financial Protection Bureau Note rate vs APR.

Estimates only — not a credit offer. Dealer fees, taxes, insurance, and APR tiering vary.

Last reviewed: 2026-07-22 — Reviewed by: Editorial Team

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