An auto loan calculator with negative equity estimates the payment and total interest when you add the amount still owed on a trade-in to the next car loan. Enter the new vehicle’s price, trade-in value, payoff balance, down payment, APR, and term to see an estimated payment; the calculation does not determine whether a lender will approve that amount.
Formula
The calculator first estimates negative equity, then adds it to the new vehicle price and subtracts the down payment:
Negative equity = max(0, current loan payoff − trade-in value)
Estimated amount financed, P = new vehicle price + negative equity − down payment
Monthly payment, M = P × r ÷ [1 − (1 + r)−n]
Here, P is the estimated amount financed in dollars, r is the monthly interest rate (APR ÷ 1,200), and n is the number of monthly payments (loan term in years × 12). Estimated total interest is M × n − P. The calculator assumes the monthly payment is not rounded before calculating total interest.
Worked Example
Using the default entries:
- New vehicle price: $30,000; trade-in value: $18,000; current payoff: $22,000.
- Negative equity = max(0, $22,000 − $18,000) = $4,000.
- Estimated amount financed = $30,000 + $4,000 − $2,000 = $32,000.
- APR = 8%, so monthly rate r = 8 ÷ 1,200 = 0.0066667. A five-year term gives n = 5 × 12 = 60 payments.
- Monthly payment = $32,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = $649.84, rounded to cents.
- Estimated total interest = ($649.84 × 60) − $32,000 = $6,990.40.
How Negative Equity Affects a New Loan
Negative equity, sometimes called being “underwater” or “upside down,” means the amount needed to pay off a vehicle loan is greater than the vehicle’s trade-in value. In this example, the payoff is $22,000 and the trade-in estimate is $18,000, leaving a $4,000 shortfall. If that shortfall is included in the next loan, it increases the amount on which interest is calculated.
Negative equity is different from a down payment. A down payment reduces the amount financed; rolled-over negative equity increases it. A vehicle’s trade-in value is also not necessarily the same as a private-sale price or an online estimate. Use a current written valuation and the lender’s payoff figure for a more relevant estimate.
How to Use the Estimate
- Enter the agreed or estimated price of the next vehicle, before any charges that are not included in your price figure.
- Enter the trade-in value and the payoff needed to close the existing loan. Use a payoff quote rather than relying only on the balance shown on a statement, which may not reflect the amount due on a later date.
- Enter cash down, then the APR and term supplied for the scenario you want to calculate. The APR and term are inputs, not predictions; get the actual figures from the lender.
- Review the estimated amount financed, payment, and total interest together. Change one input at a time to see how each affects the arithmetic.
If the payoff is lower than the trade-in value, this calculator treats the difference as zero negative equity. It does not add the resulting positive trade-in equity as a credit. To model that situation, subtract the positive difference from the new vehicle price or enter it as part of the down payment, but do not count it twice.
What the Results Do—and Do Not—Include
The payment is a level-payment estimate for a fixed-rate loan. The amount financed here is a simplified calculation: vehicle price plus negative equity, minus down payment. It does not automatically include sales taxes, title or registration costs, dealer charges, optional products, or other amounts that may appear in a transaction. If any are financed, add them to the price input to approximate their effect, while recognizing that the result is still an estimate.
The calculator also does not account for lender-specific limits on the amount financed relative to a vehicle’s value, the lender’s underwriting decision, or changes in the final trade-in offer or payoff. Those factors can affect the actual transaction, but they cannot be inferred from these inputs. Ask the lender for a written breakdown showing the payoff, trade-in credit, amount financed, APR, term, payment, and included charges.
Common Mistakes and Alternatives to Compare
- Using the wrong payoff amount: A displayed loan balance and a payoff quote can differ because the payoff is calculated for a particular date. Check the quote’s validity date.
- Counting the shortfall twice: Once the negative equity is added to the estimated amount financed, do not add it again as a separate charge.
- Confusing payment with total cost: A longer term can lower a scheduled monthly payment while increasing the number of payments and potentially the total interest. Compare both figures, not the payment alone.
- Assuming a smaller payment means less debt: The monthly figure does not show vehicle depreciation, the remaining loan balance at a future date, or the possibility of owing more than the vehicle is worth.
For context, compare the rollover estimate with separate calculations that do not carry the old shortfall into the new loan. Other scenarios to examine include keeping the current vehicle while paying down its balance, or selling it and addressing any shortfall separately. These are comparison scenarios, not recommendations; their practical costs and terms depend on details not represented by this calculator.
Frequently Asked Questions
Can I roll negative equity into a new auto loan?
This calculator shows the arithmetic if a shortfall is added to the amount financed. Whether a lender permits a particular transaction or amount depends on its terms and review; the calculation does not establish approval.
How do I calculate negative equity on a trade-in?
Subtract the vehicle’s trade-in value from the current loan payoff. If the result is above zero, that amount is negative equity; if it is zero or below, there is no negative-equity shortfall in this calculation.
Does negative equity increase my monthly payment?
Adding it to the amount financed generally raises the calculated payment when APR and term stay the same, because interest is applied to a larger principal. The exact change depends on the inputs.
Does this calculator include taxes and fees?
No. It uses the vehicle price, trade-in value, payoff, down payment, APR, and term only. Add any charges that are actually financed to the price input for a rough estimate, and check the lender’s itemization.
Why is my lender’s payment different?
The final amount may include charges or credits omitted here, and the contract can use different transaction figures or payment details. Compare the lender’s disclosed amount financed, APR, term, and payment with the calculator inputs.
Assumptions
- Fixed APR and equal monthly payments.
- Payments occur monthly; interest is compounded monthly at APR ÷ 12.
- The trade-in shortfall is added to the new vehicle price; positive trade-in equity is not credited.
- Taxes, fees, insurance, optional products, and lender-specific conditions are not included unless reflected in the price input.
This result is an estimate for educational purposes, and the lender’s disclosure gives the exact figures.
Related
Formula used
in price | New vehicle price | $ | 30000 | 0 | 100000000 in trade | Trade-in value | $ | 18000 | 0 | 100000000 in owed | Payoff on current loan | $ | 22000 | 0 | 100000000 in down | Down payment | $ | 2000 | 0 | 100000000 in apr | Interest rate (APR) | % | 8 | 0.01 | 100 in yrs | Loan term | years | 5 | 0.0833 | 50 out pmt | Estimated monthly payment | $ | (price + max(0, owed - trade) - down) * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) | 2 out financed | Estimated amount financed | $ | price + max(0, owed - trade) - down | 2 out int | Estimated total interest | $ | pmt * yrs * 12 - financed | 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.
More in this section
- Home Loan Prepayment Calculator: Does EMI Reduce?20,911.00
- Home Loan Prepayment Calculator to Reduce EMI20,911.00
- Home Loan EMI Calculator With Part Payment Formula41,822.00
- Home Loan EMI Calculator With Monthly Part Payment41,822.00
- Home Equity Loan Calculator: Estimate Monthly Cost$405.53
- Auto Loan Calculator With Trade-In Negative Equity$405.53