calculate-loan

01 Loan payments

Car Payment Monthly Calculator and Formula

Calculator No. 01-10994 · 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 calculator estimates your monthly car-loan payment from the amount borrowed, annual percentage rate (APR), and loan term, then shows total interest over the full term. Enter the figures from a lender’s loan disclosure for an estimate; taxes, fees, insurance, and other ownership costs are not included.

Formula

For a fixed-rate loan with equal monthly payments, the payment is calculated using the standard amortizing-loan formula:

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

  • P is the amount borrowed, in dollars.
  • r is the monthly interest rate, calculated as APR ÷ 1,200. For an 8% APR, r = 8 ÷ 1,200, or about 0.006667 per month.
  • n is the number of monthly payments: loan term in years × 12.
  • APR is the annual percentage rate entered as a percentage, not a decimal. The calculator uses it as a fixed annual rate divided into monthly periods.

Total interest is estimated as monthly payment × n − P. The payment is rounded to cents before this total is calculated, so small differences from a lender’s final schedule can occur if its payment rounding or schedule differs.

Worked Example

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

  1. Convert the APR to a monthly rate: 8 ÷ 1,200 = 0.0066667.
  2. Count the payments: 5 × 12 = 60.
  3. Substitute into the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60].
  4. The estimated monthly payment, rounded to cents, is $405.53.
  5. Using that rounded payment, total interest is $405.53 × 60 − $20,000 = $4,331.80.

Assumptions

  • The interest rate stays fixed for the entire loan term.
  • Payments are equal, made monthly, and treated as occurring at the end of each monthly period.
  • Interest accrues monthly using the APR divided by 12.
  • The calculation excludes fees, taxes, insurance, optional products, and other charges unless they are included in the amount borrowed.

What a Car Payment Includes

The calculator’s payment is the principal-and-interest portion of a loan: principal repays the amount borrowed, while interest is the borrowing cost calculated on the remaining balance. It is not the complete monthly cost of having a car. A household budget may also need to account for insurance, fuel or charging, maintenance, repairs, registration, parking, and any applicable taxes or fees. Those costs vary and are not determined by this loan formula.

To estimate the amount financed, start with the vehicle price and add any charges or optional products being financed, then subtract a down payment and any trade-in credit. The exact figure should come from the written loan terms. A trade-in with an unpaid balance can affect the amount financed, so check how the transaction is itemized rather than assuming its full value reduces the loan.

How Loan Term and APR Affect the Payment

For the same principal and APR, spreading repayment over more months generally lowers each required payment, but leaves the balance outstanding longer and usually increases total interest. A shorter term generally raises the monthly payment while reducing the number of periods in which interest can accrue. The calculator displays both the payment and estimated interest to make that trade-off visible; neither number alone describes all vehicle costs.

APR and interest rate are often discussed together, but they are not interchangeable in every loan disclosure. APR may reflect certain borrowing costs in addition to the stated interest rate, depending on the loan and disclosure. This calculator treats the APR input as the rate used in the monthly amortization formula. Enter the rate and amount specified for the loan calculation, and ask the lender to clarify which figures apply if the disclosure separates them.

Using the Estimate Carefully

  • Use the amount actually financed, not automatically the sticker price or advertised vehicle price.
  • Enter APR as a percent: type 8 for 8%, not 0.08.
  • Use the full term in years. The calculator converts years to monthly payments.
  • Compare estimates only when the loan amount, APR assumptions, term, and included charges are on the same basis.
  • Check lender paperwork for payment dates, rounding, fees, and any terms that this simplified formula does not model.

A low monthly figure can result from a longer term or a smaller amount financed; it does not by itself show total borrowing cost. Likewise, a calculator result is not an approval decision, an offer, or a statement about what a borrower can afford. The lender determines and discloses the actual figures for a particular loan.

Common Calculation Limits

The formula assumes one fixed rate and level monthly payments. It does not model a changing rate, irregular payment dates, skipped or deferred payments, balloon payments, or extra principal payments. If extra payments are made, the actual payoff timing and interest may differ from the displayed full-term estimate. Fees paid upfront are also not reflected in total interest, while fees added to the loan may increase the principal if included in the amount entered.

Rounding matters over dozens of payments. This estimate rounds the monthly payment to the nearest cent and multiplies that rounded amount by the number of payments for its total-interest figure. A lender’s final payment may be adjusted slightly to clear the remaining balance, and the exact payment schedule in the disclosure controls the contractual amounts.

Frequently Asked Questions

How do I calculate a monthly car payment?
Use the loan amount, monthly interest rate (APR divided by 1,200), and number of monthly payments in the amortizing-loan formula shown above. This calculator performs that calculation and estimates total interest.

Does a car payment include insurance?
No. This result covers estimated principal and interest only. Insurance and other costs of owning or operating a vehicle are separate unless specifically financed into the loan amount.

Why does a longer car loan lower the monthly payment?
It divides repayment across more monthly installments. Because the balance is repaid over a longer period, total interest is generally higher when principal and APR are otherwise unchanged.

Is APR the same as the interest rate?
Not necessarily. APR can reflect certain borrowing costs as well as interest, depending on the loan disclosure. This calculator uses the entered APR as its annual rate for the payment formula, so confirm the applicable figure with the lender.

Why is my lender’s payment different from this estimate?
The lender may use a different financed amount, payment schedule, rate convention, rounding method, or included charges. Compare the calculator inputs with the lender’s disclosure and ask the lender to explain any difference.

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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