calculate-loan

01 Loan payments

APR Auto Loan Calculator: Estimate Payment and Interest

Calculator No. 01-3435 · 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.

An auto loan APR calculator estimates your monthly payment and total interest from the amount financed, annual percentage rate (APR), and loan term. Enter the figures shown in your loan offer to see the fixed-payment estimate; the calculator does not determine which rate a lender will offer.

Formula

The calculator treats the loan as a fixed-rate balance repaid in equal monthly payments. It converts the annual APR to a monthly rate, then applies the standard amortizing-loan payment formula:

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

  • P is the amount financed, in dollars.
  • r is the monthly rate, calculated as APR ÷ 1,200 when APR is entered as a percentage. For example, 8% gives 8 ÷ 1,200 = 0.0066667 per month.
  • n is the number of monthly payments, calculated as years × 12.

Total interest is estimated as the rounded monthly payment multiplied by the number of payments, minus the original amount financed: interest = payment × n − P. The payment is rounded to cents before total interest is calculated, matching the calculator’s displayed figures.

Worked Example

Using the calculator’s default inputs—$20,000 financed, 8% APR, and five years:

  1. Convert APR to a monthly rate: 8 ÷ 1,200 = 0.0066667.
  2. Convert the term to payments: 5 × 12 = 60 months.
  3. Apply the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = approximately $405.53 per month.
  4. Calculate total interest using the rounded payment: $405.53 × 60 − $20,000 = $4,331.80.

For these inputs, the estimated payment is $405.53 per month, and estimated total interest over 60 payments is $4,331.80.

Assumptions

  • The APR is fixed for the full term and the same rate applies throughout repayment.
  • Payments are equal, made monthly, and treated as occurring at the end of each monthly period.
  • Interest accrues monthly using APR divided by 12, or APR divided by 1,200 when the entered APR is a percentage.
  • The calculation excludes fees, taxes, insurance, optional products, and other costs unless they are included in the amount financed.

What Auto Loan APR Means

APR is an annualized rate used to express the cost of borrowing. A loan’s interest rate is the rate used to calculate interest on its balance; APR can also account for certain borrowing costs, depending on how the lender presents the offer. For an accurate estimate, use the APR and amount financed provided in the lender’s loan disclosure rather than relying on an advertised rate or a vehicle’s sticker price.

The amount financed may differ from the vehicle price. A down payment or trade-in can reduce the amount borrowed, while taxes, fees, or optional items may increase it if they are rolled into the loan. The calculator only sees the principal you enter, so it cannot infer which costs have been included.

How to Use and Read the Estimate

Enter the amount financed, APR as a percentage, and repayment term in years. For instance, enter 7.5 for 7.5%, not 0.075. The first result is the estimated monthly payment; the second is total interest across the stated term, based on that payment rounded to cents.

These results describe different things. The monthly payment is the scheduled amount under the formula, while total interest is the estimated borrowing cost over the complete schedule. Adding the principal to the interest gives the estimated total of payments. The figures do not show the vehicle’s operating costs or the full cash cost of owning it.

A longer term generally spreads repayment across more months, which can lower the calculated monthly payment while increasing the number of months in which interest accrues. A larger amount financed or a higher APR raises the payment when the other inputs stay fixed. These are mathematical relationships, not a prediction of a particular offer.

APR, Interest Rate, and Common Pitfalls

A frequent mistake is comparing offers using monthly payment alone. Payments can differ because the amount financed or term differs, even when APRs are similar. To make a meaningful arithmetic comparison, use the same principal and term for each set of inputs, and review lender disclosures for costs and conditions the calculator does not model.

  • Check the principal: use the actual amount financed, not automatically the vehicle’s advertised price.
  • Enter APR correctly: type a percentage such as 8, rather than a decimal such as 0.08.
  • Match the term: five years means 60 monthly payments in this calculator.
  • Expect small differences: lender payment schedules may use specific dates, daily interest, fees, or rounding methods that differ from this standard monthly model.

A zero-interest loan is not accepted by this calculator because its payment formula divides by the periodic rate. If an offer states 0% APR, the simple principal-only payment would be the financed amount divided by the number of payments, but any lender-specific charges or schedule details still need to be checked separately.

Limits and Other Costs

This is an estimate of a standard, fully amortizing loan with equal monthly payments. It does not model a changing rate, skipped or late payments, extra principal payments, a balloon payment, or a payoff quote on a particular date. It also cannot calculate an APR from an offer’s fees or determine eligibility; obtain the complete terms and figures from the lender.

Remember that a monthly loan payment is only one part of vehicle expenses. Fuel or charging, maintenance, repairs, insurance, registration, and parking are outside this calculation. The calculator does not assess a household budget or say what amount is appropriate for an individual.

Frequently Asked Questions

What does APR mean on an auto loan?
APR is an annualized measure of borrowing cost used in a loan offer. The loan’s interest rate determines interest charges, while APR may reflect certain additional borrowing costs. Check the lender’s disclosure for what is included.

How do I calculate an auto loan payment from APR?
Convert APR to a monthly rate by dividing the percentage by 1,200, convert the term to months, and use the amortizing-payment formula shown above. This calculator performs those steps and rounds the payment to cents.

Is the APR the same as the interest rate?
Not necessarily. The interest rate is used to calculate interest on the balance; APR is an annualized cost measure and may include certain fees. The exact relationship depends on the offer’s terms, so review its disclosure.

Why is my lender’s payment different?
The lender may use a different amount financed, payment dates, fee treatment, interest accrual method, or rounding convention. Compare the calculator inputs with the written offer and ask the lender to explain any difference.

Does a longer auto loan term reduce total interest?
Not necessarily. A longer term can reduce the calculated monthly payment by spreading repayment over more months, but it can increase total interest under the same APR and principal. The results depend on all three inputs.

The 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 →