calculate-loan

01 Loan payments

Car Payment Calculator: Estimate Your Monthly Cost

Calculator No. 01-4860 · Updated · Formula and assumptions shown below

Monthly payment $405.53
Total interest
$4,331.67
= Monthly payment × loan term × 12 − loan amount
Loan amount
$20,000
Input
Interest rate (APR)
8 %
Input
You enter
Loan amount ($), 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 car payment calculator estimates the fixed monthly principal-and-interest payment on an auto loan from the amount financed, annual percentage rate (APR), and loan term. Enter those figures to see the estimated payment and total interest; the estimate does not include taxes, insurance, or other costs of owning a car.

Formula

The calculator uses the standard fixed-payment loan formula. It assumes the same payment is due each month and that interest accrues monthly at one-twelfth of the annual APR.

Monthly payment: M = P × r / [1 − (1 + r)−n]

Total interest: I = M × n − P

  • P is the amount financed, in dollars.
  • APR is the annual percentage rate entered as a percentage, such as 8 for 8%.
  • r is the monthly rate as a decimal: APR ÷ 1200.
  • n is the number of monthly payments: loan term in years × 12.
  • M is the monthly principal-and-interest payment, in dollars.
  • I is the total interest over the term, in dollars, based on the displayed monthly payment rounded to cents.

The calculator displays payment and interest to two decimal places. The formula uses the unrounded payment internally for the payment result; total interest is calculated from the displayed, cent-rounded payment multiplied by the number of payments, then minus the amount financed. A lender’s actual schedule can differ because of its rounding and payment-processing conventions.

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 ÷ 1200 = 0.0066667.

M = 20,000 × 0.0066667 ÷ [1 − (1.0066667)−60]

M ≈ $405.53 per month, rounded to the nearest cent.

Total interest = $405.53 × 60 − $20,000 = $4,331.80.

The corresponding total of the 60 rounded payments is $24,331.80. This illustration is only the loan arithmetic for the entered assumptions; it is not a quote or a prediction of a particular lender’s terms.

Assumptions

  • The APR and payment amount stay fixed throughout the loan.
  • Payments are equal, made monthly, and treated as occurring at the end of each period.
  • Interest compounds monthly at APR divided by 12.
  • The calculation excludes fees, taxes, insurance, down-payment trade-in details, and other costs unless included in the amount financed.

What to Enter and How to Read the Result

Loan amount means the amount borrowed, not necessarily the vehicle’s advertised price. If a down payment or trade-in reduces the amount financed, use the resulting loan principal. If costs are rolled into the loan, they may increase the amount financed. The exact figure should come from the written loan figures you are examining.

APR is entered as a yearly percentage, not a decimal: enter 8 for 8%, not 0.08. Use the APR supplied for the specific loan calculation. Do not treat a sample default as a market quote or an indication of what a borrower may receive.

Loan term is entered in years. The calculator converts it to months, so a five-year term means 60 monthly payments. The payment result covers principal and interest only. It is not the complete monthly cost of driving or owning a vehicle.

Total interest estimates how much interest is paid across all scheduled payments under the fixed-rate assumptions. It is separate from the amount financed: adding the two gives the total of payments in this simplified calculation. A longer term generally spreads repayment over more months, which changes both the monthly payment and the total interest under the same APR and principal; the calculator can quantify the arithmetic for different inputs without determining which terms suit a particular person.

Costs Beyond the Payment

A car’s actual budget can include expenses the loan formula cannot calculate without additional inputs. These may include insurance, fuel or charging, maintenance, registration, parking, and taxes or fees associated with buying or operating a vehicle. Some purchase-related amounts may be financed, but recurring ownership costs do not become part of the loan payment simply because the calculator shows a monthly result.

For a fuller comparison of loan scenarios, keep the vehicle and amount financed consistent while changing one input at a time. Compare the resulting payment and total interest, then separately account for costs omitted from the formula. A payment that looks manageable in isolation does not establish what someone can afford or whether a lender will approve a loan.

Common Misconceptions and Limits

  • The sticker price is not always the loan amount. A down payment, trade-in, financed fees, and other transaction details can make the principal different from the vehicle price.
  • Payment is not total cost. The result excludes ownership expenses and any charges not represented by the principal and APR.
  • APR is not the monthly rate. The monthly rate used in this formula is APR divided by 12, with percentage converted to a decimal.
  • Actual contracts may not follow the simplified schedule exactly. Variable rates, irregular payment dates, lender-specific rounding, fees, and payment timing can affect the amount or schedule.

This calculator models a fully amortizing loan with a fixed APR and equal monthly payments. It does not calculate a balloon payment, a changing interest rate, a payoff quote for a particular date, or the effect of extra payments. Those require additional terms or a different calculation. Use the lender’s disclosed APR, principal, term, and payment schedule when checking a specific offer.

Frequently Asked Questions

How do I calculate a car payment?
Use the financed amount, monthly interest rate (APR ÷ 1200), and number of monthly payments in the fixed-payment formula. The calculator applies this formula and rounds the payment to cents.

Does a car payment calculator include insurance and taxes?
No. This calculator estimates principal and interest only. Costs such as insurance and taxes are not included unless they are part of the amount financed, and recurring costs are not calculated.

Should I enter the car price or the loan amount?
Enter the amount financed. It may differ from the price after a down payment, trade-in, or other amounts added to the loan. Check the actual figures for the transaction rather than assuming the two amounts are identical.

Why does a longer loan term change the payment and interest?
A longer term means more monthly payments, spreading repayment across more periods. With the same principal and APR, the monthly payment and total interest change; enter the alternative term to see the formula’s estimate.

Why is my lender’s payment different?
The lender may use different principal or APR figures, include financed charges, or apply payment timing and rounding conventions not captured here. Compare the calculator inputs with the lender’s disclosure and schedule.

Can I use this calculator for a variable-rate car loan?
Not accurately over the full term. The calculation assumes a fixed APR and equal payments. A rate that changes can alter later payments or the total interest.

The result is an estimate, and 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 | $ | p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) | 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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