How the car payment is calculated
First the calculator works out how much you're borrowing (the amount financed). Then it uses the standard loan payment formula.
Payment = A × i ÷ (1 − (1 + i)−n)
A is the amount financed, i is the APR ÷ 12 and n is the number of monthly payments. Total interest comes from a month-by-month schedule in whole cents, the same way a lender works it out.
Worked example
You buy a $35,000 car with $5,000 down. The dealer gives you $8,000 for your old car, but you still owe $10,000 on it. Your state taxes the price minus the trade-in at 7%: 7% × $27,000 = $1,890. You finance $1,000 of title, registration and doc fees.
At 7.5% APR for 72 months: $603.25 a month, $8,544.22 total interest
The $2,000 of negative equity on the old car is now part of the new loan. You'll pay interest on it for six years.
Sales tax and trade-ins: state rules vary
Most states charge sales tax only on the price minus your trade-in. That's a real saving of trading in rather than selling privately. A few states tax the full price no matter what you trade in, and some don't charge sales tax on cars at all. Rebates can be taxed or not, depending on the state. Pick "Full price" if your state doesn't give a trade-in credit, and check with your state's motor vehicle or revenue department.
Working backwards from a budget
Choose "Find price" and enter the payment you want. The calculator finds the loan that payment supports, adds your down payment and trade-in equity, then takes off the tax and any financed fees:
Price = (loan + down + trade-in − owed − financed fees + tax rate × trade-in) ÷ (1 + tax rate)
Limitations
- It assumes a fixed rate and equal monthly payments. Some buy-here-pay-here loans use weekly or biweekly payments.
- Dealer add-ons like service contracts, GAP insurance or paint protection raise the amount financed. Add them to the fees if you're financing them.
- Manufacturer rebates and 0% offers are often either/or. Run both to see which saves more.
- Your real APR depends on your credit. Get a preapproval from a bank or credit union to compare with the dealer's offer.