calculate-loan

01 Loan payments

Vehicle Payment Calculator With Trade-In

Calculator No. 01-7632 · Updated · Formula and assumptions shown below

Monthly payment $405.53
Total interest
$4,331.80
= Monthly payment × loan term × 12 − amount financed
Amount financed
$20,000
Input
Interest rate (APR)
8 %
Input
You enter
Amount financed ($), Interest rate (APR) (%), Loan term (years)
You get
Monthly payment ($), Total interest ($)
Rounding
2 dp

Estimate for education, not financial advice. The result follows from the numbers you enter and the formula shown. It is not a quote or an offer, and it does not include fees, taxes or insurance unless the calculator asks for them. Ask your lender for the exact figures.

A vehicle payment calculator with trade-in estimates your monthly payment after applying the value of your current vehicle, any loan payoff, down payment, taxes, and fees. Enter the amount you are financing, the APR, and the term to see an estimated payment and total interest; use the trade-in calculation below to turn your vehicle’s equity into the right loan amount.

Formula

The calculator uses the standard fixed-payment loan formula. First it calculates the monthly rate, then divides the amount financed into equal monthly payments over the loan term:

Monthly payment = round[P × r / (1 − (1 + r)−n), 2]

  • P is the amount financed, in dollars. For a vehicle purchase, this is generally the negotiated price plus applicable taxes and fees, less the trade-in credit and cash down payment, with any old loan payoff added.
  • r is the monthly interest rate, calculated as APR ÷ 1,200. The APR input is a percentage per year.
  • n is the number of monthly payments, calculated as years × 12.
  • Total interest is the rounded monthly payment × number of payments − amount financed. This estimate uses the payment rounded to cents.

The calculator’s amount-financed field is the final loan principal, not the vehicle’s sticker price or its trade-in value. Work out the purchase and trade-in figures first, then enter the resulting principal. The formula assumes one fixed APR and equal payments.

Worked Example

Using the calculator’s default values: amount financed of $20,000, APR of 8%, and a five-year term.

  1. Convert the APR to a monthly rate: 8 ÷ 1,200 = 0.0066667.
  2. Convert the term to payments: 5 × 12 = 60 months.
  3. Apply the payment formula: $20,000 × 0.0066667 ÷ [1 − (1 + 0.0066667)−60].
  4. Round the result to cents: estimated monthly payment = $405.53.
  5. Calculate total interest using the rounded payment: $405.53 × 60 − $20,000 = $4,331.80.

Assumptions

  • The APR is fixed for the full term.
  • Payments are equal, made monthly, with the first payment one month after the loan begins.
  • Interest compounds monthly at APR ÷ 12.
  • The calculator excludes taxes, title and registration costs, dealer or lender fees, insurance, and other costs unless they are included in the amount financed you enter. It does not separately calculate trade-in value or old-loan payoff.

How to Account for a Trade-In

A trade-in changes the amount financed through its equity: the vehicle’s trade-in offer minus the outstanding payoff on its existing loan. Positive equity can reduce the new loan. Negative equity means the payoff is greater than the trade-in credit; if it is included in the new financing, it increases the amount borrowed.

For example, suppose a vehicle’s trade-in offer is $12,000 and its loan payoff is $8,000. The trade-in has $4,000 of positive equity. If the next vehicle’s price is $30,000, taxes and fees add $2,000, and the buyer adds $1,000 cash down, the estimated amount financed is $30,000 + $2,000 − $4,000 − $1,000 = $27,000. Enter $27,000 as the calculator’s amount financed; do not enter $30,000 and subtract the trade-in again elsewhere.

With negative equity, reverse the subtraction. If the trade-in offer is $7,000 but the payoff is $10,000, the difference is −$3,000. If that shortfall is rolled into the same purchase, it adds $3,000 to the new amount financed. Whether and how a payoff is handled depends on the transaction; use the actual figures provided for the deal rather than assuming a quote is final.

How to Build the Amount Financed

Gather the figures that determine the principal before using the payment estimate. The exact treatment of taxes and transaction costs can vary, so use the written purchase figures supplied for your transaction.

  • Start with the vehicle’s agreed purchase price, rather than a listing price that may not be the final figure.
  • Add taxes and fees that will be paid through the loan. Leave out costs paid separately.
  • Subtract the trade-in allowance, then account for the old loan payoff. Equivalently, subtract trade-in equity, which can be negative.
  • Subtract any cash down payment or other credits applied to the purchase.
  • Check that the result matches the amount the lender says will be financed. Enter that amount as P.

A trade-in quote, payoff amount, and final loan principal can change before a transaction is completed. A payoff figure may also be time-sensitive because the old loan continues to accrue interest. Ask for current written figures and confirm how any remaining balance will be paid.

Reading the Estimate and Its Limits

The monthly payment is a mathematical estimate for principal and interest under the inputs. The total-interest output is the sum of the rounded payments minus the starting principal; it is not the total cost of owning the vehicle. Insurance, fuel, maintenance, and costs paid outside the loan are not represented. If an expense is added to the loan, include it in the amount financed instead.

Small changes in amount financed, APR, or term change the payment. Extending the term usually spreads repayment across more months; it does not erase the principal or the interest charged under the formula. The total-interest figure is especially useful for seeing how the full scheduled payments relate to the amount borrowed, but it does not include charges outside the model.

This formula does not model a variable rate, irregular payment dates, a balloon payment, skipped payments, or extra principal payments. It also cannot determine an actual trade-in offer, loan payoff, APR, taxes, or fees. Those are transaction-specific inputs to confirm with the relevant parties. If a quoted payment differs, compare the amount financed, APR, term, payment schedule, and included charges rather than comparing the monthly figure alone.

Common Trade-In Calculator Mistakes

  • Using trade-in value without the payoff: subtracting the full allowance overstates positive equity when an old loan remains.
  • Subtracting the trade-in twice: if you enter an amount financed that already reflects the credit, do not subtract it again.
  • Confusing the price with the principal: the amount financed may include costs and old-loan shortfall, and may be reduced by cash down and trade-in equity.
  • Comparing payments with different terms: a lower monthly figure can result from more payments, not a lower total borrowing cost.
  • Expecting an exact lender quote: this calculation uses entered assumptions and does not include every possible contract charge or timing detail.

Frequently Asked Questions

How do I calculate a car payment with a trade-in?
Estimate the amount financed by adding the purchase price and financed costs, subtracting the trade-in allowance and cash down, and accounting for the old loan payoff. Enter that final principal, APR, and term in the calculator.

Does a trade-in reduce the amount financed?
Usually, the trade-in credit reduces the purchase balance. The effect depends on the payoff of any existing loan: positive equity reduces the balance, while a shortfall can increase it if included in the new financing.

What if I owe more than my car is worth?
The difference between the payoff and trade-in offer is negative equity. If it is carried into the next loan, add the shortfall to the amount financed; confirm the actual payoff and transaction figures.

Should I enter the trade-in value or the trade-in equity?
For this calculator, enter the final amount financed, not either trade-in figure by itself. When building that amount, account for both the trade-in allowance and the old loan payoff exactly once.

Why is my estimated payment different from the dealer’s figure?
The entered principal, APR, term, payment timing, or included costs may differ. Compare each of those figures with the written financing details; this estimate does not model every charge or contract feature.

This result is an estimate, and the lender’s disclosure gives the exact figures.

Related

Formula used
in p | Amount financed | $ | 20000 | 1 | 100000000
in apr | Interest rate (APR) | % | 8 | 0.01 | 100
in yrs | Loan term | years | 5 | 0.0833 | 50
out pmt | Monthly payment | $ | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 2
out int | Total interest | $ | pmt * yrs * 12 - p | 2

Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work

Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.

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