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APR Calculator (Annual Percentage Rate)

Find the annual percentage rate (APR) of a loan: the yearly cost of borrowing once fees are counted along with interest. Enter the amount, rate, term and fees to compare offers on equal terms.

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Your loan offer

The note rate on the offer, not the APR.

Origination fee, points and other finance charges. Leave out costs you would pay without the loan.

How the fees are paid

How we calculated this

The calculator first finds the monthly payment from the loan balance, interest rate and term. It then subtracts the fees from the money you actually receive (the amount financed) and solves for the one rate that makes all the payments, discounted back to today, equal that amount. That rate times 12 is the APR, the same actuarial method Regulation Z uses for loans with equal monthly payments.

Amount financed = M × [1 − (1 + i)^−n] / i → APR = 12 × i

Worked example (default inputs)

M = $404.57 on 20,000 at 7.9% for 60 months Amount financed = 20,000 − 600 fees = $19,400.00 i = 0.7664% a month APR = 12 × i = 9.2%

Two loans with the same interest rate can cost very different amounts once origination fees, points and other charges are added. The APR folds those fees into a single yearly rate, which is why lenders in the U.S. must disclose it under the Truth in Lending Act. Working it out yourself lets you check a disclosure or compare a low-rate, high-fee offer with a higher-rate loan that has no fees.

Interest rate vs. APR

The interest rate is what the lender charges on the balance, and it alone sets the monthly payment. The APR starts from the same payments but measures them against the money you actually walk away with. When fees are taken out of the loan or paid at closing, you receive less than you owe, so the effective yearly rate is higher than the note rate. With no fees, the two are the same.

To see the payment and payoff date for a rate you already know, use the loan calculator; for a car, the auto loan calculator adds tax, trade-in and dealer fees.

Worked example: a $20,000 personal loan

A $20,000 loan at 7.9% for five years has a monthly payment of $404.57. If the lender charges a $600 origination fee taken out of the proceeds, you receive $19,400 but still repay $24,274.28 over 60 months. The rate that turns those 60 payments back into $19,400 is about 0.766% a month, so the APR is about 9.20%, well above the 7.9% on the offer.

If the same $600 is added to the balance instead, the payment rises to $416.71 and you receive the full $20,000. The APR in that case is about 9.16%. Either way, the fee adds more than a full point to the yearly cost of a five-year loan.

Why fees matter more on short loans

A fee is paid once, but the APR spreads it over the life of the loan. On a 30-year, $200,000 mortgage at 6%, $4,000 in points and fees lifts the APR only to about 6.19%, because the cost is spread across 360 payments. The same 2% fee on a two-year loan would add far more to the APR. If you plan to sell or refinance early, the fees cost you more per year than the APR suggests, since it assumes you keep the loan to the end.

Limits and assumptions

This calculator assumes a fixed rate and equal monthly payments for the full term. It does not model adjustable rates, interest-only periods, balloon payments or irregular first payments, and it leaves out costs you would pay without the loan, such as an appraisal or title insurance on many mortgages. Lenders follow detailed rules on which fees count as finance charges, so the APR on an official disclosure can differ slightly. Use the result to compare offers and check the numbers your lender gives you.

Key terms

APR
Annual percentage rate: the yearly cost of credit, including interest and finance charges, expressed as a single rate.
Amount financed
The credit you actually receive: the loan amount minus any prepaid finance charges taken out at closing.
Finance charge
The total dollar cost of the credit: all interest plus fees such as origination charges and points.
Origination fee
A charge for processing the loan, often a percentage of the amount borrowed and taken from the proceeds.

Frequently asked questions

What is the difference between an interest rate and APR?

The interest rate sets your monthly payment. The APR adds the loan's fees to that interest and shows the total as one yearly rate, so it is usually higher. If a loan has no fees, the APR and the interest rate are the same.

Which fees should I include?

Include charges you pay because you are taking the loan: origination or underwriting fees, discount points, and similar lender charges. Leave out costs you would pay in a cash deal, such as most title and appraisal fees on a mortgage. Your Loan Estimate or Truth in Lending disclosure lists the finance charges.

Does it matter whether fees are added to the loan or paid up front?

Slightly. Paid up front or taken from the proceeds, the fees reduce the money you receive. Added to the balance, they raise the payment and you pay interest on them. In the default example, the APR is about 9.20% when the $600 fee is paid up front and about 9.16% when it is financed.

How is APR calculated?

Find the monthly payment, then solve for the monthly rate that makes the present value of all the payments equal the amount financed. Multiply that rate by 12. There is no closed-form solution, so the calculator finds the rate by narrowing it down step by step until it is exact to many decimal places.

Is a lower APR always the better loan?

Not always. APR assumes you keep the loan for the full term. If you expect to pay it off early, a loan with lower fees and a slightly higher rate can cost less overall. Compare the total cost over the time you actually expect to have the loan.

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