calculate-loan

01 Loan payments

New Car Payments: Estimate Your Monthly Cost

Calculator No. 01-11135 · 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 new car payment calculator estimates the monthly principal-and-interest payment and total interest for a fixed-rate auto loan. Enter the amount financed, annual percentage rate (APR), and loan term to see the estimated payment and interest over the full term.

Formula

The calculator uses the standard fixed-payment loan formula. It converts the annual APR to a monthly rate, then calculates the payment needed to repay the starting balance over the selected number of months:

Monthly payment = P × r ÷ [1 − (1 + r)−n]

  • P is the amount financed, in dollars.
  • r is the monthly interest rate, calculated as APR ÷ 1,200. For an 8% APR, r = 0.08 ÷ 12.
  • n is the number of monthly payments, calculated as years × 12.
  • Total interest is the rounded monthly payment × n − P. The payment is rounded to cents before calculating the total.

The formula assumes a constant rate and equal payments made monthly. The APR is entered as a percentage, such as 8 for 8%, not as 0.08.

Worked Example

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

  1. Monthly rate: 8 ÷ 1,200 = 0.0066667.
  2. Number of payments: 5 × 12 = 60.
  3. Payment: 20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = $405.53 per month, rounded to cents.
  4. Total of rounded payments: $405.53 × 60 = $24,331.80.
  5. Estimated total interest: $24,331.80 − $20,000 = $4,331.80.

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 calculated monthly at APR ÷ 12, expressed in the formula as APR ÷ 1,200.
  • The estimate excludes taxes, title and registration charges, dealer or lender fees, insurance, and optional products. Add financed charges to the loan amount if they are included in the amount borrowed.

What Counts as a New Car Payment?

“New car payment” usually means the recurring amount due on an auto loan, but a loan payment is only one part of owning a vehicle. This calculator isolates principal and interest: principal pays down the borrowed balance, while interest is the cost of borrowing under the stated rate and term.

A monthly vehicle budget may also include insurance, fuel or charging, maintenance, parking, and registration costs. Those expenses vary by vehicle and location and are not calculated here. A lease payment is different from a loan payment; lease charges depend on contract terms and are not represented by this loan formula.

Choosing Inputs and Understanding the Result

Use figures from the written vehicle offer or loan disclosure when available. The amount financed is not necessarily the sticker price. It may reflect a down payment or trade-in that reduces the price, and it may include taxes, fees, or optional items if those costs are financed. To model a specific offer, enter the actual amount borrowed rather than the vehicle’s advertised price.

  • Amount financed: The starting balance on which the loan calculation is based.
  • APR: Enter the quoted annual percentage rate, not a monthly rate. If a lender provides a rate that includes costs differently from the stated APR, use the APR shown in its disclosure.
  • Term: Enter the number of years. The calculator converts this to monthly payments; 5 years means 60 payments.

The first result is the estimated monthly payment. Total interest is the interest implied by making that rounded payment for every month of the full term. It is not the total amount paid: add the original principal to total interest to obtain the estimated payment total. In the example, that total is $24,331.80.

To compare two hypothetical loan structures, change one input at a time and observe the result. A longer term generally spreads repayment across more months, which can lower the calculated monthly payment while increasing total interest if the rate and principal stay the same. This is a mathematical effect, not a judgment about which term to choose. A different APR also changes the payment and interest; use the rate supplied for the specific offer rather than assuming a market rate.

Common Calculation Gaps

The estimate can differ from an actual bill if the amount financed, APR, payment schedule, or fees differ from the inputs. Some contracts may use dates, payment timing, or balance calculations that do not match this simplified monthly model. The final installment can also vary because lenders track and round balances according to their contract procedures.

  • Do not enter the vehicle price as the loan amount if the amount borrowed is different.
  • Do not enter an APR of 8 as 0.08; the calculator expects 8 for 8%.
  • Do not treat total interest as total cost. It excludes principal and costs outside the loan formula.
  • Do not assume a trade-in or down payment changes the APR; it generally affects the amount financed, while the rate is a separate input.

Extra payments, skipped or late payments, variable rates, and refinancing are not modelled. Extra principal payments can change the payoff path and interest, but the calculator assumes the stated regular payment continues throughout the complete term. For a precise payoff amount or contract schedule, refer to the lender’s current account information.

Frequently Asked Questions

How do I calculate a new car payment?
Enter the amount financed, APR, and loan term. The calculator converts APR to a monthly rate and applies the fixed-payment formula to estimate the payment needed to amortize the loan over the term.

Does the monthly payment include taxes and insurance?
No. The result covers estimated loan principal and interest only. Insurance, fuel, maintenance, and other ownership expenses are separate, and taxes or fees are included only if they are part of the amount you enter as financed.

Why is my lender’s payment different?
The lender may use a different financed balance, payment date, rounding method, or contract calculation. Check that your inputs match the disclosure and ask the lender to explain any remaining difference.

Does a longer car loan lower the payment?
For the same principal and APR, extending the term generally reduces the calculated monthly payment because repayment is spread over more months. It also generally increases total interest under the fixed-rate formula.

Is a car payment the same as the cost of owning a car?
No. A loan payment is one recurring expense. Insurance, energy or fuel, maintenance, and other costs are not included in this estimate.

This result is an estimate; 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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