This auto loan payment calculator estimates your monthly principal-and-interest payment from the amount financed, APR, and loan term, and shows the total interest over the term. Enter the figures from a lender’s quote or use the defaults to see how the calculation works; taxes, insurance, and other charges are not included.
Formula
The calculator uses the standard fixed-payment loan formula. It converts the annual percentage rate to a monthly rate, calculates a level payment across the full term, rounds that payment to cents, and then subtracts the amount borrowed from the sum of all scheduled payments.
- p is the loan principal, or amount financed, in dollars.
- apr is the annual percentage rate entered as a percentage per year.
- r is the monthly rate, calculated as apr ÷ 1,200.
- n is the number of monthly payments, calculated as years × 12.
- pmt is the monthly principal-and-interest payment in dollars.
- int is the total interest in dollars, using the displayed rounded payment.
In symbols, the unrounded payment is pmt = p × r ÷ [1 − (1 + r)−n]. This calculator rounds that result to the nearest cent. Total interest is int = (pmt × n) − p. Since each actual payment is rounded to cents, this total is an estimate based on the rounded scheduled payment; a lender’s final payment or payoff figure can differ slightly.
Worked Example
Using the defaults—$20,000 financed, 8% APR, and five years—the number of payments is 5 × 12 = 60. The monthly rate is 8 ÷ 1,200 = 0.0066667.
- Substitute the values: payment = 20,000 × 0.0066667 ÷ [1 − (1 + 0.0066667)−60].
- Evaluate the expression: the monthly payment is approximately $405.53 after rounding to cents.
- Multiply the displayed payment by the number of payments: $405.53 × 60 = $24,331.80.
- Subtract principal: $24,331.80 − $20,000 = $4,331.80 total interest.
The estimated headline result is therefore a monthly payment of $405.53, with $4,331.80 in total interest under the stated assumptions.
Assumptions
- The APR and payment amount stay fixed for the full term.
- Payments are made monthly, with the first payment one month after borrowing.
- Interest is treated as accruing monthly at APR ÷ 12.
- The calculation excludes sales tax, registration, insurance, maintenance, lender fees, add-ons, and any down payment or trade-in unless those amounts are already reflected in the amount financed.
- It does not model a balloon payment, skipped or late payments, extra principal payments, or a final adjustment for daily interest and rounding.
What an Auto Loan Payment Includes
The amount financed is not necessarily the vehicle’s advertised price. It may include amounts added to the purchase and may be reduced by a down payment or trade-in credit. To make the calculator useful, use the amount actually being borrowed rather than the vehicle’s sticker price. If a quote bundles fees or optional products into the loan, those amounts can increase principal and therefore affect both the payment and interest.
The calculated payment covers scheduled principal and interest only. A vehicle’s ongoing cost can also include insurance, fuel or charging, maintenance, repairs, and registration. Those costs matter when assessing a vehicle budget, but they are separate from the loan formula and should not be treated as included in the result.
How Loan Amount, APR, and Term Affect the Result
- Loan amount: With APR and term unchanged, borrowing more increases the payment and the total interest paid.
- APR: A higher APR increases the payment and, for the same amount and term, the total interest. Enter the APR supplied for the specific quote; do not substitute an advertised rate that may have different conditions.
- Term: A longer term generally spreads repayment across more months and lowers the scheduled monthly payment, but can increase the total interest because the balance is outstanding longer.
These effects are mathematical comparisons, not guidance on whether a particular loan is appropriate. The calculator does not determine eligibility, approval, or the APR a lender might offer. Use verified figures from the relevant written quote or disclosure, and check whether the quoted APR and amount financed reflect the same transaction assumptions.
Common Input Mistakes and Limits
A common mistake is entering the monthly payment itself as the loan amount, or entering an APR such as 8 as 0.08. The APR field expects a percentage number—enter 8 for 8%—and the formula converts it to a monthly decimal rate. Enter the term in years, not months: five years is entered as 5, and the calculator converts it to 60 monthly payments.
Another frequent issue is using the vehicle price rather than the amount financed. A down payment, trade-in, financed fees, and other adjustments can make those figures different. Confirm which figure the quote labels as the amount financed. Rounding also matters: this calculator rounds the payment to cents before computing total interest, so the displayed total is internally consistent with that rounded payment. Actual loan servicing may use precise payment schedules, daily interest, or a slightly different final installment.
This is a fixed-rate, level-payment estimate. It cannot represent a variable rate, irregular payment dates, a changing balance from extra payments, or all lender-specific interest and fee conventions. For an exact schedule, use the terms and payment details in the lender’s documents.
Frequently Asked Questions
Does an auto loan calculator include taxes and insurance?
No. This calculation estimates principal and interest only. Taxes, insurance, registration, and other costs need to be considered separately unless they have been included in the amount financed—and even then, ongoing costs are not part of the payment formula.
Should I enter the car price or the amount financed?
Enter the amount financed: the principal being borrowed after any down payment, trade-in, or other adjustments. If fees or optional items are financed, they may be part of that figure.
Why does a longer term change total interest?
A longer term means more scheduled payments and generally keeps some principal unpaid for more months. The monthly payment may be lower, but total interest can be higher for the same APR and principal.
Is APR the same as the interest rate?
APR is an annualized borrowing-cost figure that can reflect more than the nominal interest rate, depending on the quote and applicable calculation. Use the APR identified in the specific loan offer and check its disclosure for how it is defined.
Why might my lender’s payment differ from this estimate?
The amount financed, APR, first-payment date, fees, payment timing, rounding, or final-payment treatment may differ. Confirm each input against the lender’s documents; this calculator does not reproduce every contract detail.
This result is an estimate for educational purposes; the lender’s disclosure gives the exact figures.
Related
Formula used
in p | Loan amount | $ | 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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