calculate-loan

01 Loan payments

Car Loan Amortization Calculator and Payment Breakdown

Calculator No. 01-10748 · Updated · Formula and assumptions shown below

Monthly payment $405.53
Total interest
$4,331.80
= 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 loan amortization calculator estimates your fixed monthly payment and total interest from the loan amount, APR, and term. Enter those three figures to see the payment and interest estimate; the schedule behind the calculation shows how each payment is divided between interest and principal.

Formula

The calculator treats the loan as a fixed-rate loan with equal monthly payments. It first converts APR to a monthly rate, then uses the standard amortizing-payment formula:

r = APR / 1200
n = 12 × term in years
Payment = round[P × r / (1 − (1 + r)−n), 2]
Total interest = payment × 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 interest rate as a decimal.
  • n is the number of monthly payments.
  • Payment is the estimated monthly installment, rounded to cents.

The interest output uses that rounded monthly payment multiplied by the number of scheduled payments, then subtracts the original principal. It is therefore a payment-based estimate, rather than a separate unrounded total.

Worked Example

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

  1. Convert the APR to a monthly rate: 8 ÷ 1200 = 0.0066667.
  2. Find the number of payments: 5 × 12 = 60.
  3. Apply the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = approximately $405.53 per month after rounding.
  4. Calculate total interest using the rounded payment: $405.53 × 60 − $20,000 = $4,331.80.

These figures are estimates under the stated assumptions; a lender’s schedule may differ because of exact payment dates, rounding, or charges not entered here.

Assumptions

  • The interest rate remains fixed for the full term.
  • Payments are equal monthly payments, made at the end of each monthly period.
  • Interest is modelled monthly at APR divided by 12; the APR is treated as the stated nominal annual rate for this calculation.
  • The calculation excludes taxes, fees, insurance, add-on products, and other charges unless they are already included in the amount financed.

How Car Loan Amortization Works

Amortization is the process of paying down a debt through scheduled installments. Each payment covers interest accrued for the period and reduces the remaining principal. At the start of a level-payment loan, the balance is larger, so more of the installment goes toward interest. As principal falls, the interest portion generally shrinks and more of each payment reduces principal.

A payment estimate is not the same as a full amortization schedule. To make a month-by-month schedule, calculate the period’s interest from the opening balance and monthly rate, subtract that interest from the payment to find principal repaid, and subtract principal repaid from the balance. In a real contract, payment dates and the lender’s interest method can affect the precise numbers.

What to Enter and How to Read the Results

Use the amount actually financed, not automatically the vehicle’s advertised price. The financed amount may reflect a down payment, trade-in credit, existing balance rolled into the loan, taxes, or financed products. The APR and term should come from the loan disclosure or other figures supplied by the lender; the calculator cannot look up a rate or determine whether an application will be approved.

  • Monthly payment: the modelled amount due each month for principal and interest.
  • Total interest: the interest implied by making the rounded payment for every scheduled month.
  • Term: a longer term means more monthly payments. With the same principal and APR, it generally lowers the scheduled payment but increases the total interest paid across the full schedule.

The displayed installment is not necessarily the complete amount associated with owning or financing a vehicle. Insurance, fuel, maintenance, registration, and any separately billed charges are outside this calculation.

Common Mistakes and Calculator Limits

One frequent error is entering a percentage in the wrong form. Enter 8 for 8% APR, not 0.08: the formula divides the entered percentage by 1200 to obtain a monthly decimal rate. Another is using the vehicle price when the contract’s amount financed is different. Check the principal and APR against the lender’s documents, and use the same term units shown by the calculator.

Rounding can also create small differences. This calculator rounds the payment to cents and uses that rounded figure to estimate total interest. A lender may calculate interest daily, use specific due dates, or handle the final payment differently. The displayed result should not be treated as a payoff quote.

The standard formula assumes a positive fixed rate, a fixed number of equal monthly payments, and no skipped or extra payments. It does not model variable rates, late payments, fees, prepayment treatment, balloon payments, or changes to the contract. If the loan terms include any of these, the calculator’s simple estimate will not reproduce the complete contract schedule.

Frequently Asked Questions

Does a car loan amortization calculator include a down payment?
No. Enter the amount financed after accounting for any down payment or trade-in credit. If you enter the vehicle’s full price instead, the payment estimate will reflect borrowing that full amount.

Why does more of my early payment go to interest?
Interest for each period is based on the outstanding balance. The balance is generally highest at the beginning, so the interest share is larger then. As principal is repaid, the balance and the interest portion decline.

Does a longer car loan term lower total cost?
Not necessarily. For the same principal and APR, extending the term spreads repayment across more months and generally reduces the monthly payment, but adds more periods in which interest accrues. Compare both payment and total interest estimates.

Is the calculator’s payment the complete monthly car expense?
No. It estimates principal and interest only. Insurance, fuel, maintenance, taxes, and other separately charged amounts are not included unless they are part of the financed principal.

Why might my lender’s payment differ from this result?
The lender may use different rounding, dates, interest accrual, or contract charges, and the amount financed or APR entered may not match the final agreement. Check the payment schedule and disclosure for the actual figures.

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 | $ | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 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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