An auto loan payment is computed on the amount you actually finance, not the sticker price: the vehicle price minus your down payment and trade-in value, plus any taxes and fees rolled into the loan. That amount financed goes through the standard amortization formula — the monthly rate (annual rate divided by 12) and the number of monthly payments — to give a fixed monthly payment, and the term you choose trades a lower payment against more total interest.
Auto Loan Calculator — payment on what you actually finance
A $35,000 vehicle with $5,000 down and a $0 trade-in, $0 in taxes & fees, financed at 7% over 5 yrs.
- Amount financed
- $30,000
- Total interest
- $5,642
- Cash cost (down + all payments)
- $40,642
Quick examples
How it's calculated
- Amount financed = price − down payment − trade-in + taxes & fees
- price
- = 35,000
- down
- = 5,000
- trade
- = 0
- fees
- = 0
- 30,000
- Amortize the amount financed
- F
- = 30,000
- r
- = 0.005833
- n
- = 60
- 594.04
Compare scenarios
| Term (yr) | Monthly payment | Total interest | Total cost |
|---|---|---|---|
| 3 | $926.31 | $3,347 | $33,347 |
| 4 | $718.39 | $4,483 | $34,483 |
| 5 | $594.04 | $5,642 | $35,642 |
| 6 | $511.47 | $6,826 | $36,826 |
How it works
Two steps. The auto layer: amount financed F = price − down payment − trade-in + taxes & fees. Taxes and fees are entered in dollars rather than as a rate, because vehicle sales-tax rules — including whether a trade-in reduces the taxable amount — differ by state; your purchase order states the actual dollars. The loan: M = F·r(1+r)ⁿ ⁄ ((1+r)ⁿ − 1), where r is the monthly rate (the annual rate divided by 12) and n the number of payments. The term sweep shows the 36/48/60/72-month trade-off on the same amount financed: longer terms shrink the payment and grow the total interest, and the cash-cost output totals what the deal actually consumes — the down payment plus every loan payment.
Worked example
LibreTexts works the loan step at auto scale: a $15,000 loan at 9% over 5 years costs $311.38 a month. The auto layer around it is this page's arithmetic: price a vehicle at $20,000 with $5,000 down and nothing traded in, and $15,000 is what you finance — the same $311.38 payment, about $3,683 of interest over the five years by this calculator's computation. Change any line of the layer — a trade-in, rolled-in fees, a longer term — and the financed amount and payment move with it; only the $311.38 case is a published value (LibreTexts).
Frequently asked questions
Why is the payment computed on the amount financed, not the price?
- Because the loan only covers what is left after your down payment and trade-in, plus whatever taxes and fees you roll in. Two buyers of the same car can have very different payments purely from the layer above the loan — which is why this page makes that arithmetic explicit before amortizing.
Does my trade-in reduce the taxes I pay?
- In many states a trade-in reduces the taxable amount, in others it does not, and the rules change — which is exactly why this calculator asks for taxes and fees in dollars instead of computing them from a rate. Read the figure off your purchase order or dealer quote and the calculator stays right in every state.
Should the taxes and fees be rolled into the loan?
- This page models them as financed — added to the amount borrowed — which is the common dealer default. Paying them in cash instead shrinks the loan: move the dollars from the taxes-and-fees field into the down payment and the comparison is exact.
What term should I look at?
- The sweep shows the trade-off rather than picking for you: shorter terms carry higher payments and less total interest, longer terms the reverse. A vehicle also depreciates, so the longer the term, the longer the loan can exceed the car's value — a risk the payment number alone does not show.
What does the cash cost output mean?
- The money the deal consumes: your down payment plus every monthly payment over the term. The trade-in is not counted as cash — it is value you surrender — so the cash cost tells you what leaves your accounts, while total interest tells you what the borrowing itself cost.
How is this different from the loan calculator?
- The loan calculator compares rate-and-term scenarios on a borrowed amount you already know. This page derives that amount from the vehicle deal — price, down payment, trade-in, taxes and fees — which is the part specific to buying a car; the amortization underneath is identical.
How accurate is this, and what does it exclude?
- The financed arithmetic and payment are exact for the dollars you enter. It excludes insurance, registration beyond what you list in fees, manufacturer incentives structured as rate buy-downs, and negative equity rolled over from a prior loan — add that balance to taxes and fees if it applies. Confirm the financed amount against the dealer's purchase order.
How we know this is right
- Last reviewed
- Jul 21, 2026
- Precision
- Rounded to 2 decimal places.
Sources
- Consumer Financial Protection Bureau How do mortgage lenders calculate monthly payments? · Reviewed Jul 21, 2026
- LibreTexts (Las Positas College) Amortized Loans (Math for Liberal Arts, §8.05) · Reviewed Jul 18, 2026