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01 Loan payments

Auto Loan Interest Rate vs APR: What’s the Difference?

Calculator No. 01-0670 · 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’s interest rate is the annual cost of borrowing before certain fees, while its annual percentage rate (APR) expresses the yearly borrowing cost including certain finance charges. This calculator estimates the monthly payment and total interest from a loan amount, APR, and term; it does not calculate APR from a lender’s interest rate and fees.

Formula

For a fixed-rate loan with monthly payments, the payment is the loan principal multiplied by the monthly rate, divided by one minus (one plus the monthly rate) raised to the negative number of payments:

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

  • P is the amount borrowed, in dollars.
  • r is the monthly interest rate as a decimal: APR ÷ 100 ÷ 12.
  • n is the total number of monthly payments: years × 12.

Total interest in this calculator is monthly payment × number of payments − principal. The APR is entered as a percentage per year; for example, 8 means 8%, not 0.08. The calculation uses the entered APR as the rate for the payment formula and rounds displayed payment to cents. It does not determine an APR from a separate note rate and itemized fees.

Worked Example

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

  1. Convert APR to a monthly decimal rate: 8 ÷ 100 ÷ 12 = 0.0066667.
  2. Find the number of payments: 5 × 12 = 60.
  3. Apply the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = $405.53 per month, rounded to cents.
  4. Calculate total interest using the rounded payment: $405.53 × 60 − $20,000 = $4,331.80.

With these assumptions, the estimated payment is $405.53 per month and estimated total interest is $4,331.80. A lender’s payment schedule can differ because of fees, payment dates, rounding, or other contract details.

Assumptions

  • The APR stays fixed for the entire term.
  • Payments are equal monthly payments, made at the end of each monthly period.
  • Interest accrues monthly using APR divided by 12.
  • The calculation excludes fees, taxes, insurance, optional products, and any down payment or trade-in unless those amounts have already been reflected in the entered loan amount.

Interest Rate and APR: What Each Means

The interest rate, sometimes called the note rate, is the rate used to calculate interest on the unpaid principal under the loan’s terms. It is an important input to the payment calculation, but it does not necessarily capture every required borrowing charge.

APR is a broader annualized measure. In general, it combines the interest rate with certain finance charges associated with obtaining the credit, expressed as a yearly rate. Which charges are included depends on their nature and the applicable disclosure rules. Do not assume every amount paid when buying a car is part of APR: sales taxes, registration expenses, insurance, and optional products may be treated differently from credit-related charges. Review the lender’s disclosure for the actual figures and included costs.

For example, two offers could show the same interest rate but different APRs if their finance charges differ. Conversely, a lower interest rate alone does not prove that an offer has a lower overall borrowing cost. Comparing disclosed APRs can help account for certain charges, but the loan amount, term, payment schedule, and excluded costs still matter.

How to Compare Auto Loan Offers

Compare written disclosures for loans with the same amount financed and term whenever possible. A longer term can make the monthly payment smaller while increasing the number of months interest accrues. A shorter term can raise the monthly payment even if total interest is lower. APR is useful context, not a substitute for checking the full payment and contract details.

  • Check the amount financed, including any rolled-in balance or add-on charges.
  • Compare APR, interest rate, term, monthly payment, and total payments.
  • Ask which fees are included in the APR and which costs are excluded.
  • Check whether the rate is fixed or can change, and whether the quoted terms are final.
  • Review payment timing and any contract provisions that may affect the balance or payoff amount.

When the principal and term differ between offers, the monthly payment alone is especially hard to compare. Use the same assumptions in a calculator, then reconcile its estimate with each lender’s required payment disclosure.

What This Calculator Leaves Out

This tool treats the APR as a fixed monthly rate and models a standard fully amortizing loan: each scheduled payment covers interest due and reduces principal, leaving no planned balance at the end. Actual contracts may use different payment dates, daily interest calculations, irregular first periods, or other details. The calculator also does not work backward from the interest rate and fees to calculate a legally disclosed APR.

It estimates interest as total scheduled payments minus the amount borrowed. It does not include a down payment, trade-in value, taxes, insurance, maintenance, late charges, or optional products unless such amounts are part of the loan amount you enter. A payoff before the end of the term may not equal the remaining scheduled payments; the lender’s payoff quote reflects the contract and payment history.

Frequently Asked Questions

Is APR higher than the interest rate on an auto loan?
APR can be higher when it includes finance charges beyond interest. It may be close to the interest rate when few or no such charges apply. Check the lender’s disclosure rather than assuming a fixed difference.

Which matters more, auto loan interest rate or APR?
They answer different questions: the interest rate is used to accrue interest, while APR provides an annualized cost measure that includes certain finance charges. Compare both alongside the amount financed, term, payment, and total payments.

Does APR include taxes and car insurance?
Not necessarily. APR generally concerns the cost of credit, and taxes, insurance, and optional vehicle-related costs may be outside it. Check the itemized disclosure and contract to see what is included.

Can I calculate an auto loan’s APR from its interest rate?
Not from the interest rate alone. You would also need the relevant finance charges, payment schedule, amount financed, and other details used in the applicable APR calculation. Request the disclosed APR from the lender.

Why is my lender’s payment different from the calculator?
The calculator assumes monthly periods, a fixed APR, equal payments, and no additional charges. A lender’s figure may reflect fees, different timing or rounding, or a loan amount that differs from your input.

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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