How to Calculate APR (and Why It Beats the Interest Rate)

The interest rate tells you the price of the money. APR tells you the price of the loan.

What APR Means

The annual percentage rate, or APR, is the yearly cost of credit including the interest rate and certain fees. Under the federal Truth in Lending Act and its Regulation Z, lenders must disclose the APR on consumer loans and credit cards so borrowers can compare offers on the same basis.

The interest rate tells you what the lender charges on the principal. The APR spreads finance charges such as origination fees, discount points and some mortgage broker fees over the loan's life and turns the whole thing into one rate. Two loans with the same interest rate can have very different APRs if one charges a large up-front fee.

APR vs. Interest Rate in One Example

Suppose you borrow $10,000 for 36 months at a 12% interest rate. The monthly payment is $332.14, and total interest is about $1,957.

Now suppose the lender charges a 5% origination fee and takes it out of the loan proceeds. You still owe $10,000 and still pay $332.14 a month, but only $9,500 reaches your bank account. Paying $332.14 a month for 36 months to get $9,500 is the same as borrowing at about 15.61%. That is the APR.

The fee added more than three and a half percentage points. That is why the CFPB tells borrowers to compare APRs, not just interest rates.

How to Calculate APR on a Loan With Fees

Step by step

  1. Calculate the payment from the full loan amount, the interest rate and the term. Monthly payment = P × r ÷ (1 − (1 + r)−n), where r is the annual rate ÷ 12 and n is the number of months.
  2. Find the amount financed. Subtract prepaid finance charges, such as an origination fee, from the loan amount.
  3. Solve for the rate at which the same payments would repay only the amount financed. There is no simple formula; it takes trial and error, a spreadsheet's RATE function, or a calculator.
  4. Multiply the monthly rate by 12. The result is the APR.

In a spreadsheet, =RATE(36, -332.14, 9500) × 12 returns about 15.61%. Our personal loan calculator does this for you and shows the fee's effect on both the APR and the money you actually receive.

A rough shortcut

For a quick estimate, divide the fee by the number of years and add a bit more, because the fee is paid at the start while the balance shrinks over time. A 5% fee on a 3-year loan adds roughly 3 to 4 points. The shorter the loan, the more a fixed fee raises the APR: the same 5% fee on a 1-year loan adds close to 10 points.

Mortgage APR

On a mortgage, the APR includes the interest rate plus discount points, origination charges and other finance charges defined in Regulation Z. It does not include every closing cost; appraisal, title and similar third-party fees are generally excluded.

Example: a $300,000, 30-year mortgage at 6.5% has a principal-and-interest payment of about $1,896.20. If $6,000 of points and lender fees count as finance charges, the amount financed is $294,000, and the APR comes out to about 6.70%. Because the fees are spread over 30 years, they move a mortgage APR much less than they move a short personal loan.

One caveat: mortgage APR assumes you keep the loan for its full term. If you plan to sell or refinance in a few years, up-front fees cost you more than the APR suggests. See when to refinance for break-even math.

Credit Card APR and Daily Interest

Credit cards usually have no up-front finance charges, so the APR and the interest rate are the same. What matters is how the APR turns into charges. Most issuers divide the APR by 365 to get a daily periodic rate, then apply it to your average daily balance for the billing cycle.

Daily rate = APR ÷ 365
Interest for the cycle ≈ Average daily balance × Daily rate × Days in cycle

At a 24% APR, the daily rate is 0.0658%. An average balance of $2,000 over a 30-day cycle costs about $2,000 × 0.000658 × 30 = $39.45 in interest. If you pay the statement balance in full by the due date, most cards charge no interest on purchases because of the grace period.

A card can have several APRs at once: purchase, balance transfer, cash advance and penalty APRs. Cash advances usually start accruing interest immediately with no grace period.

APR vs. APY

APR is a simple annual rate: it does not include the effect of compounding. Annual percentage yield, or APY, does. The two are linked by:

APY = (1 + APR ÷ n)n − 1, where n is the number of compounding periods per year

A 24% APR compounded daily is an effective rate of about 27.1% if the interest is never paid. That is why savings accounts advertise APY (a bigger number helps them) while loans advertise APR. When comparing a loan and an investment, convert both to the same basis. Our compound interest calculator shows how compounding adds up.

Fixed vs. Variable APR

A fixed APR stays the same for the life of the loan, although a credit card issuer can change it for new purchases with advance notice. A variable APR is tied to an index, usually the prime rate, plus a margin. When the index moves, so does your rate. Most credit cards and home equity lines of credit are variable; most personal loans and auto loans are fixed.

How to Compare Loan Offers

  • Compare APRs for the same term. A 3-year and a 5-year loan are not comparable by APR alone; the longer one can have a lower APR and still cost more in total interest.
  • Look at total cost too. Monthly payment × number of payments, plus any fees not in the APR, is what you actually pay.
  • Check how fees are paid. A fee deducted from proceeds means you need to borrow more to get the cash you need.
  • Ask about prepayment penalties. They are not always reflected in the APR.
  • Get the Truth in Lending disclosure or, for a mortgage, the Loan Estimate, and compare those official numbers rather than an ad.

Where to Find the APR

You don't have to calculate APR yourself to compare offers. Lenders must show it in the Truth in Lending disclosure for loans, in the Schumer box on credit card applications and on mortgage Loan Estimates and Closing Disclosures. Use your own calculation to check an advertised rate, to see what a fee does to the cost, or to compare a loan with an option that doesn't come with a disclosure, such as a payment plan from a seller.

Frequently Asked Questions

What is the difference between APR and interest rate?

The interest rate is the cost of borrowing the principal. APR adds certain fees, such as origination fees and points, and expresses the total as a yearly rate, so it is usually higher.

How do I calculate APR with fees?

Find the monthly payment using the full loan amount and the interest rate, then find the rate at which those payments pay off only the money you actually received after fees. That rate × 12 is the APR.

How is credit card interest calculated from APR?

Most cards divide the APR by 365 to get a daily periodic rate and apply it to your average daily balance. At 24% APR the daily rate is about 0.0658%.

Is APR the same as APY?

No. APR does not include compounding. APY does, so it is the better measure for savings, while APR is the standard disclosure for loans.

Sources

  • Consumer Financial Protection Bureau, "What is the difference between a loan's interest rate and its APR?" (consumerfinance.gov).
  • Consumer Financial Protection Bureau, Regulation Z (Truth in Lending), 12 CFR Part 1026, including §1026.4 (finance charge) and §1026.22 (determination of APR).
  • Consumer Financial Protection Bureau, "What is a daily periodic rate on a credit card?" (consumerfinance.gov).

This guide is for education. Figures are current as of October 2026; for tax, lending or legal decisions, check the rules that apply to you.

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