Auto Loan Calculator
With vehicle price 38000 usd, trade-in value 14000 usd, still owed on the trade-in 18000 usd, cash down payment 4000 usd and 5 more fields, auto loan comes to $688.21 — monthly payment. It is reached in 14 steps, the last of which is 40140 * 0.006 / (1 - pow(1 + 0.006, -72)), and each one is printed on the page with its numbers filled in. The formula is the one published by California Dept. of Tax and Fee Administration, Publication 34, not an approximation fitted to it.
Car payment including sales tax, fees, and a trade-in — with the negative equity most calculators quietly leave out.
Formula and sources checked · How we check
Vehicle price 38000, Trade-in value 14000, Still owed on the trade-in 18000, Cash down payment 4000
$688.21
Monthly payment for the example below. Editing a field recomputes the calculator below; this figure holds the answer the page was loaded with.
It is written into the HTML rather than drawn by a script, so a search engine reading this page without running JavaScript still finds an answer.
- Equity in the trade-in
14000 - 18000-4,000- Negative equity rolled into the new loan
max(0, 18000 - 14000)4,000- Trade-in credited against tax
0 * 0 + 1 * 14000 + 0 * min(14000, 12000)14,000- Amount subject to sales tax
max(0, 38000 - 14000)24,000- Sales tax
24000 * 6 / 1001,440- Sales tax the trade-in saved
14000 * 6 / 100840- Out-the-door price
38000 + 1440 + 70040,140- Amount financed
max(0, 40140 - 4000 - -4000 - 0)40,140- Monthly payment
40140 * 0.006 / (1 - pow(1 + 0.006, -72))688.209- Total interest
688.20856 * 72 - 40140$9,411- Total you pay, cash and loan
4000 + 688.20856 * 7253,551.016- Loan against vehicle price at signing
40140 / 38000 * 100105.632 %- Paying cash instead, all in
max(0, 40140 - -4000 - 0)$44,140- What financing adds over paying cash
53551.016 - 44140$9,411
Ask about this in the chatCompare: 72 months against 48Car Loan Payment by Term Chart
What the loan is made of
Worked example
A $38,000 car, $4,000 down, trading a car worth $14,000 with $18,000 still owed. The $4,000 shortfall rolls in, so you finance $40,140 on a $38,000 car and pay $688.21 a month, a loan worth 105.6% of the car on day one. The trade-in still saves $840 in sales tax, because the credit is based on what the car is worth, not on what you owe.
How to work it out yourself
- 1.Enter the price you agreed, not the sticker. Then the trade-in allowance and, separately, what you still owe on it.
- 2.Set how your state treats the trade-in. Most credit it in full against the taxable price; California credits none of it; Michigan caps the credit.
- 3.Add tax, title, registration and dealer fees to get the out-the-door price. That, less cash down and less trade-in equity, is what you actually finance.
- 4.Check the loan-to-price line. Above 100% you are financing more than the car is worth on day one, before it depreciates.
Payment and interest by loan term
| Term (years) | Monthly payment | Total interest | Loan against vehicle price at signing |
|---|---|---|---|
| 3 | $1,243.08 | $4,611 | 105.63 % |
| 4 | $964.93 | $6,177 | 105.63 % |
| 5 | $798.61 | $7,777 | 105.63 % |
| 6 | $688.21 | $9,411 | 105.63 % |
| 7 | $609.75 | $11,079 | 105.63 % |
| 8 | $551.26 | $12,781 | 105.63 % |
The payment falls with every year added and the interest climbs. The last column is what you owe against the car on day one.
The formula
- Equity in the trade-in
14000 - 18000 - Negative equity rolled into the new loan
max(0, 18000 - 14000) - Trade-in credited against tax
0 * 0 + 1 * 14000 + 0 * min(14000, 12000) - Amount subject to sales tax
max(0, 38000 - 14000) - Sales tax
24000 * 6 / 100 - Sales tax the trade-in saved
14000 * 6 / 100 - Out-the-door price
38000 + 1440 + 700 - Amount financed
max(0, 40140 - 4000 - -4000 - 0) - Monthly payment
40140 * 0.006 / (1 - pow(1 + 0.006, -72)) - Total interest
688.20856 * 72 - 40140 - Total you pay, cash and loan
4000 + 688.20856 * 72 - Loan against vehicle price at signing
40140 / 38000 * 100 - Paying cash instead, all in
max(0, 40140 - -4000 - 0) - What financing adds over paying cash
53551.016 - 44140
Source: California Dept. of Tax and Fee Administration, Publication 34 — Motor Vehicle Dealers (trade-ins), Michigan Secretary of State — vehicle trade-in sales tax credit, US Consumer Financial Protection Bureau — auto loans
Questions people actually ask
- What happens if I owe more on my trade-in than it is worth?
- The shortfall is added to the new loan. On the example above, a car worth $14,000 with $18,000 owed leaves $4,000 of negative equity, so a $38,000 car turns into $40,140 financed. You start the new loan already underwater, and most auto loan calculators have no field for this at all.
- Does a trade-in reduce sales tax?
- In most states yes: tax is charged on the price after the trade-in allowance is subtracted, so a $14,000 trade at 6% saves $840. California does not allow it. Publication 34 is explicit: "If you accept a trade-in on the sale of a vehicle, the allowance for the trade-in cannot be excluded from the amount on which tax is based." Michigan allows it up to $12,000 in 2026, a cap that has been rising $1,000 a year.
- Is the sales tax credit based on what I owe or what the car is worth?
- What it is worth. The allowance the dealer gives is what comes off the taxable price, regardless of your loan balance. This is why negative equity costs you on the loan side but not on the tax side.
- Why is a 72-month loan a worse deal than the payment suggests?
- Because the car depreciates faster than the loan amortises. The payment falls roughly 30% going from 48 to 72 months, the interest roughly doubles, and you spend far longer owing more than the car is worth, which is exactly the position that creates negative equity on the next trade.
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