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Math of Money

Auto Loan Calculator

Estimate your monthly car payment including your trade-in, sales tax, and dealer fees, and see whether a cash rebate or a promotional low APR saves you more.

By S M Ariful Islam ShawonLast updated

Vehicle & loan details

$
$
%
Trade-in
$
$
Sales tax & fees
%

Most states tax the price after subtracting your trade-in's value ("Net"). A few states tax the full price ("Full") regardless of trade-in — check your state's rule.

$
Monthly payment
$615
Amount financed
$31,450
Total interest
$5,471
Total cost of loan
$36,921
Principal + interest

Rebate vs. low APR

Take the rebate ($1,000 at 6.50%)
$596/mo
$35,747 total · $5,297 interest
Take the promo APR (2.90%)Best
$564/mo
$33,823 total · $2,373 interest

Taking the promotional APR saves $1,924 over the life of the loan.

Total paid: principal vs. interest
ComponentAmountShare
Principal$31,45085.2%
Interest$5,47114.8%

Amount financed

Vehicle price = $35,000
− Down payment = −$3,000
− Trade-in equity = −$3,000
+ Sales tax (6.50% of $30,000) = +$1,950
+ Fees financed = +$500
= Amount financed: $31,450
Cash due at signing: $3,000

Amortization schedule

Auto loan amortization schedule (yearly)
ExpandDatePaymentPrincipalInterestBalance
Year 1$7,384$5,502$1,882$25,948
Year 2$7,384$5,870$1,514$20,078
Year 3$7,384$6,264$1,121$13,814
Year 4$7,384$6,683$701$7,131
Year 5$7,384$7,131$254$0

Save calculation

Saving calculations to a free account with Google sign-in is coming soon.

For now, copy the share link — it keeps every input, so you can bookmark it or reopen this exact calculation later.

How to use this calculator

  1. Enter the vehicle price, your down payment, and your trade-in's value and any amount you still owe on it.
  2. Set your state's sales tax rate and check whether it applies to the full price or the price after your trade-in credit — most states use the latter, but check your state's rule.
  3. Add title, registration, and doc fees, and choose whether to pay them in cash at signing or roll them into the loan.
  4. Pick your loan term (24–84 months), and if the dealer offers a cash rebate or a promotional low APR, open that section to see which one actually costs less.
  5. Review your monthly payment, amount financed, and total cost, then export the schedule or share your scenario.

How it's calculated

The amount financed starts from the vehicle price, subtracts your down payment and any positive trade-in equity (trade-in value minus what you still owe on it), adds sales tax, and adds fees if you choose to finance them: Amount financed = Price − Down payment − Trade-in equity + Sales tax + Financed fees. Negative trade-in equity — owing more than the trade-in is worth — increases the amount financed instead.

Sales tax is calculated on the taxable amount you select: most states tax the price after subtracting your trade-in's value (a trade-in tax credit), but some states tax the full price regardless of trade-in. Check your state's rule and use the toggle to match it.

The monthly payment then uses the standard amortization formula on the amount financed: M = L × r(1 + r)n ÷ [(1 + r)n − 1], where r is the annual rate ÷ 12 and n is the term in months.

The rebate vs. low APR comparison runs the same amount financed two ways over the same term: once with the rebate subtracted from the principal at the regular rate, and once at full principal with the promotional rate. Whichever produces the lower total of principal plus interest over the loan is the better deal in dollar terms — even though the other may have the lower advertised rate or the bigger check today. This calculator applies the rebate to the amount financed without reducing the taxable price, which matches most states' rules; a few states instead tax the price after the rebate (similar to a trade-in credit) — check your state's rule if a rebate is involved.

Calculations keep full precision month to month and round only the numbers you see.

Assumptions

  • The interest rate is fixed for the full term; the loan has no prepayment penalty.
  • Trade-in value and payoff amount are what you enter — actual dealer appraisals and your loan payoff quote can differ, especially close to your loan's payoff date (interest keeps accruing until it's paid).
  • Only sales tax and the fees you enter are included; some states or dealers add other charges (like a documentary or electronic filing fee) not modeled here.
  • The rebate vs. low-APR comparison assumes both offers are available on the exact same vehicle, price, and term — dealers sometimes restrict rebates to certain trims or require a shorter term for the promotional rate.
  • Results are estimates for planning. Your dealer's retail installment contract shows your actual amount financed, APR, and payment.

Frequently asked questions

How is my auto loan amount financed calculated?

Start with the vehicle price, subtract your down payment and any positive trade-in equity, add sales tax on the taxable amount, and add any fees you choose to finance rather than pay in cash. If you owe more on your trade-in than it's worth (negative equity), that difference increases the amount financed instead of reducing it.

Does sales tax apply before or after my trade-in credit?

It depends on your state. Most states apply a trade-in tax credit, taxing only the price minus your trade-in's value, which lowers your tax bill. A handful of states tax the full purchase price regardless of a trade-in. Check your state's department of revenue or ask your dealer, then set the toggle to match.

What is negative equity, and what happens if I roll it into a new loan?

Negative equity means you owe more on your current car loan than the car (your trade-in) is now worth. Rolling that difference into your next loan increases your new amount financed, so you're financing part of your old car along with your new one. The CFPB has found that buyers who roll in negative equity are more than twice as likely to have their new loan end in repossession within two years, so it's worth avoiding when you can — for example, by waiting until you have positive equity, or paying down the difference in cash.

Should I take the cash rebate or the low promotional APR?

It depends on the numbers, not just which one sounds better. A rebate lowers what you finance but keeps the regular (often higher) rate; a promotional APR keeps the full price financed but at a lower rate. Over a longer loan or a bigger rebate, the rebate often wins; over a short loan with a big rate gap, the low APR often wins. Use the comparison section with your actual numbers — it runs both scenarios and tells you which one costs less in total.

How much should I put down on a car?

There's no fixed rule, but a larger down payment reduces your amount financed, your monthly payment, and your total interest, and it helps you avoid being underwater (owing more than the car is worth) as new cars depreciate quickly in the first year or two. Many advisors suggest at least 10–20% down on a new car if you can afford it.

Should I finance the title, registration, and doc fees or pay them in cash?

Financing them adds a small amount to your loan and total interest, but keeps more cash in your pocket at signing. Paying them in cash costs a bit less overall since you're not financing them at your loan's interest rate, but requires more money upfront. Toggle the calculator to compare both.

What auto loan term should I choose?

Shorter terms (like 36 or 48 months) mean a higher payment but much less total interest and less risk of owing more than the car is worth. Longer terms (72 or 84 months) lower the payment but usually come with a higher rate, more total interest, and a longer stretch of negative equity risk. Try a few terms here to see the trade-off with your own numbers.

Why is my dealer's quoted payment different from this calculator's?

Differences usually come from a fee this calculator doesn't know about (like an add-on product or a documentary fee), a different amount financed than you entered, or the dealer using your actual approved rate rather than the one you typed in. Compare your final numbers against the Truth in Lending disclosure in your contract.

Does a longer loan term always mean more total interest?

For the same rate, yes — a longer term means more months of interest on a slower-declining balance. But loan terms are often priced differently (a 72-month loan may carry a higher rate than a 60-month loan), so always compare the total interest and total cost this calculator shows, not just the monthly payment, before choosing a term.

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Disclaimer: This calculator provides estimates for educational purposes only and is not financial, tax, or legal advice or an offer of credit. Actual payments depend on your lender, loan terms, taxes, and insurance. Consult a qualified professional before making financial decisions.