calculate-loan

01 Loan payments

Choose Your Car Payment: Estimate Monthly Auto Costs

Calculator No. 01-11054 · 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 auto-loan calculator estimates a fixed monthly payment and the total interest over the loan term. Enter the amount financed, annual percentage rate (APR), and term in years to see the estimated payment and interest; the payment does not include insurance, taxes, or other ownership costs.

Formula

The calculator uses the standard fixed-payment loan formula. It calculates an unrounded level payment from the amount financed, monthly interest rate, and number of monthly payments, then displays that payment to the nearest cent. Total interest is calculated using the displayed, cent-rounded payment multiplied by the number of payments, less the amount financed.

  • P = loan amount, in dollars.
  • APR = annual percentage rate, entered as a percentage per year.
  • r = monthly interest rate as a decimal: APR ÷ 1,200.
  • n = total number of monthly payments: loan term in years × 12.
  • M = monthly payment, in dollars, rounded to the nearest cent.
  • I = estimated total interest, in dollars: M × n − P.

Before rounding, the payment formula is M = P × r ÷ [1 − (1 + r)−n]. This formula assumes the same payment and interest rate throughout the loan. Since the APR input must be above zero for this calculator’s formula, it does not model a zero-interest loan.

Worked Example

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

  1. Convert the APR to a monthly decimal rate: 8 ÷ 1,200 = 0.0066667.
  2. Find the payment count: 5 × 12 = 60 monthly payments.
  3. Substitute into the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] ≈ $405.53 per month, rounded to cents.
  4. Calculate interest using the displayed payment: $405.53 × 60 − $20,000 = $4,331.80.

The estimate is therefore a monthly payment of $405.53 and total interest of $4,331.80. Actual statements can differ slightly because lenders may calculate interest and handle payment dates or rounding differently.

Assumptions

  • The interest rate is fixed for the full loan term.
  • Payments are equal, monthly, and made at the end of each monthly period.
  • Interest compounds monthly at APR ÷ 12.
  • The estimate excludes lender fees, taxes, insurance, maintenance, registration, and other vehicle costs. These are not calculator inputs.

What “Choose Your Car Payment” Means

A car payment is the scheduled amount due for financing the vehicle, not the full cost of having a car. The calculator works backward from three loan inputs to estimate the payment: how much is financed, the APR, and how long payments continue. It cannot determine a personal spending limit or whether a lender will approve an application.

The amount financed is not necessarily the vehicle’s advertised price. A down payment or trade-in may reduce the amount borrowed; items added to the transaction may increase it. To make a useful estimate, enter the amount that would actually appear as the loan principal, using figures from a written offer or another source you have verified.

How the Inputs Affect the Payment

  • Amount financed: A larger principal generally produces a larger payment and more interest, all else equal.
  • APR: A higher APR increases the interest charged under this formula and generally increases both payment and total interest. Enter the APR supplied for the specific loan; do not treat an example rate as a quote.
  • Term: A longer term spreads repayment across more months and often lowers the monthly payment, but can increase total interest because interest accrues for longer. A short term usually has fewer payments and a higher monthly amount.

For example, changing only the term can make a payment look smaller without reducing the amount borrowed. Compare both the monthly figure and total interest, and remember that neither includes the costs of operating the car.

Using the Estimate and Avoiding Misreads

Use the result to understand the arithmetic of a fixed-rate loan, test alternative input values, or check a quoted payment for rough consistency. It is not a complete vehicle budget. Separate costs such as fuel, maintenance, insurance, parking, and possible repairs can be substantial and vary by vehicle and location. Obtain actual amounts from the relevant providers or records rather than adding an unsupported guess to this result.

  • Enter the APR as a percent per year: for example, enter 8 for 8%, not 0.08.
  • Enter the amount financed, not automatically the sticker price or the total of all payments.
  • Use years for the term in this calculator; a 60-month term is five years.
  • Do not compare payments without also checking the term, principal, and APR. Different loan structures can produce similar monthly amounts but different total costs.
  • Expect small differences if a lender rounds each period differently, uses a different payment date convention, or includes costs in the financed balance.

Limits and Related Costs

This is an estimate for a standard amortizing loan with equal monthly payments. It does not model variable rates, irregular payment schedules, skipped or late payments, extra principal payments, balloon amounts, or fees. If a contract includes any of these, its payment schedule may not match this calculation. The lender’s disclosure and payment schedule are the appropriate sources for the contract’s exact figures.

The calculator also does not estimate depreciation or the vehicle’s future value. A low payment by itself does not show how much will be owed at a particular date or whether the vehicle will be worth more or less than that balance. Those questions require additional information and calculations.

Frequently Asked Questions

Does the monthly payment include car insurance or taxes?
No. It estimates principal and interest only. Insurance, taxes, and other costs are excluded unless they have been added to the amount financed, which this calculator cannot identify separately.

Why does a longer car loan usually have a lower monthly payment?
The principal is divided across more scheduled payments. With interest accruing over a longer period, total interest may be higher even when the monthly payment is lower.

Should I enter the car price or the amount financed?
Enter the amount financed. It may differ from the price after a down payment, trade-in, or financed additions. Use a verified loan figure when available.

Why does my lender’s payment differ from this estimate?
The amount financed, APR, term, payment timing, fees, rounding, or contract structure may differ from the inputs or assumptions here. Check the lender’s written payment schedule for the details.

Can I use this calculator for a zero-interest loan?
No. The formula divides by the monthly rate, and the APR input is limited to values above zero. A true zero-interest loan has a simple payment of principal divided by the number of payments, subject to the contract’s terms.

This result is an estimate for educational purposes, 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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