calculate-loan

01 Loan payments

Car Loan Payment Calculator and How It Works

Calculator No. 01-6797 · 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.

This car loan calculator estimates your monthly payment and total interest from the amount financed, APR, and loan term. Enter those figures to see a fixed monthly payment based on standard monthly amortization; the estimate excludes fees, taxes, and other vehicle costs.

Formula

The standard fixed-payment formula divides the loan principal multiplied by the monthly interest rate by one minus the monthly growth factor raised to the negative number of payments:

Payment = P × r / (1 − (1 + r)−n)

  • P is the amount financed, in dollars.
  • r is the monthly interest rate as a decimal: APR ÷ 1,200. For example, 8% APR gives a monthly rate of 0.08 ÷ 12.
  • n is the number of monthly payments: loan term in years × 12.
  • Payment is the estimated monthly principal-and-interest amount, in dollars.

The calculator rounds the monthly payment to cents. It estimates total interest as the rounded payment multiplied by the number of payments, minus the principal: Total interest = Payment × n − P. Real loan schedules may differ slightly because of payment dates, daily interest calculations, rounding conventions, or charges not represented here.

Worked Example

Using the calculator’s defaults—$20,000 financed, 8% APR, and a five-year term:

  1. Convert APR to a monthly decimal rate: r = 8 ÷ 1,200 = 0.0066667.
  2. Find the number of payments: n = 5 × 12 = 60.
  3. Substitute into the formula: Payment = 20,000 × 0.0066667 ÷ [1 − (1.0066667)−60].
  4. The monthly payment rounds to $405.53.
  5. Using that cent-rounded payment, total paid is $405.53 × 60 = $24,331.80, so estimated total interest is $24,331.80 − $20,000 = $4,331.80.

Assumptions

  • The interest rate stays fixed for the full loan term.
  • Payments are equal, made monthly, and begin one month after the loan starts.
  • Interest compounds monthly at APR divided by 12.
  • The estimate does not include fees, taxes, insurance, optional products, or other charges. It also does not model a down payment or trade-in separately; subtract those from the vehicle’s price when determining the amount financed.

What Goes Into a Car Payment?

A car payment is shaped chiefly by the amount borrowed, the APR, and the repayment term. A larger principal raises the payment and usually raises total interest. A higher APR increases the interest charged on the unpaid balance. Extending the term generally lowers the scheduled monthly payment, but leaves the balance outstanding for longer and can increase the interest paid over the life of the loan.

The amount financed is not always the vehicle’s advertised price. A down payment or trade-in credit can reduce the amount borrowed, while taxes, registration costs, dealer or lender charges, and optional add-ons may increase it if included in the financing. Ask for the amount financed and the itemized figures used to calculate it rather than assuming the sticker price is the loan principal.

How to Use the Estimate

  • Enter the amount you expect to borrow, not merely the vehicle’s listed price.
  • Use the APR and term shown in the lender’s written offer or disclosure. The example’s 8% APR is only a calculator default, not a rate prediction.
  • Read the first output as the estimated monthly principal-and-interest payment. The second is the estimated interest over all scheduled payments.
  • Compare estimates only when the principal, APR assumptions, term, and included charges are understood. A different term changes both the payment and total interest.

This calculation is useful for understanding how loan inputs affect payment arithmetic, but it is not a complete monthly cost of owning a car. Fuel, maintenance, insurance, parking, and other expenses are separate. A budget comparison should account for those costs independently; this calculator cannot determine what someone can afford or whether a lender will approve an application.

Common Calculation Mistakes and Limits

One common error is entering a whole-number APR as though it were a monthly decimal. The formula converts an annual percentage to a monthly rate by dividing by 1,200; entering 8 as the monthly rate would produce a nonsensical result. Another mistake is using months where the calculator expects years, or using the vehicle price instead of the actual amount financed.

The formula assumes a fixed rate and equal end-of-month payments. It does not model a variable rate, irregular payment schedule, payment deferrals, extra principal payments, a balloon payment, or fees financed at different times. APR may reflect certain borrowing costs under the lender’s method, but the calculator does not separately identify or itemize them. The lender’s payment schedule can therefore vary from this estimate.

Rounding matters: the calculator rounds the monthly payment to cents and calculates total interest using that rounded payment, so totals can differ slightly from calculations that keep extra decimal places throughout. The final payment on an actual account may also be adjusted to clear a remaining balance.

Frequently Asked Questions

How do I calculate a car loan payment?
Convert APR to a monthly decimal by dividing it by 1,200, convert the term to months, and use the fixed-payment formula shown above with the amount financed. This calculator applies that formula and rounds the result to cents.

Does a down payment lower the monthly payment?
It can lower the payment if it reduces the amount financed and the APR and term stay the same. The calculator takes the resulting loan amount as its input; it does not calculate a down payment from a vehicle price.

Does a longer car loan term reduce total cost?
A longer term often lowers the scheduled monthly payment for the same principal and APR, but it means more payments and may raise total interest. Compare both the monthly amount and the total repayment rather than looking at the payment alone.

Why is my lender’s payment different from this estimate?
The actual contract may use different loan inputs, payment dates, rounding, or fees, and may include charges or products not entered here. Check the lender’s itemized disclosure and payment schedule for the figures that apply to the contract.

Does this include insurance, taxes, or maintenance?
No. The outputs estimate principal and interest only. Vehicle taxes or charges may affect the loan amount if financed, while insurance, maintenance, fuel, and similar ownership costs are not included.

This 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.

More in this section

The whole Loan payments section →