What APR actually means
The annual percentage rate (APR) is the interest rate plus the cost of the loan's fees, expressed as a single yearly rate. A lender can quote a temptingly low rate and quietly recover the difference in origination fees, closing costs and other charges. APR exists — and in the US is required by law on most consumer loans — precisely so you can compare offers on one honest number.
How APR is calculated
Your monthly payment is calculated from the full loan amount at the quoted rate. But after fees, the cash that reaches you is smaller. APR is the higher rate that would produce that same payment on the smaller, real amount you received. There is no closed-form shortcut — it is solved numerically, as this calculator does (bisection to high precision).
When APR matters most
- Comparing two offers with different fees. A 7.5% loan with $2,000 of fees can cost more than a 7.9% loan with none — APR reveals which.
- Mortgages. Closing costs are large, so mortgage APRs typically run 0.1–0.5 points above the note rate.
- Short loans. Fees spread over a short term inflate APR sharply; the same fee on a 2-year loan hurts far more than on a 10-year loan.
The early-repayment catch
APR assumes you keep the loan for its full term. Fees, however, are paid once, upfront. Repay or refinance early and those fees are spread over fewer months — your effective cost is higher than the APR. If you expect to move or refinance within a few years, weight fees more heavily than APR does.
Worked example
You borrow $10,000 at a quoted 8% for 5 years, with $500 in upfront fees. The payment is $202.76 a month — but you only received $9,500 in usable cash. Solving for the rate that matches those payments to $9,500 gives an APR of about 10.20%: the fees quietly added more than two full points. A competing offer at 9% with no fees would be the cheaper loan, despite the higher headline rate.
How to use this calculator
- Enter the loan amount from the offer.
- Enter the quoted interest rate (not an APR the lender already calculated).
- Enter the term in years.
- Add every upfront fee: origination, application, closing, documentation — if you pay it to get the loan, it counts.
- Compare the APR, not the rate, against competing offers.
APR on credit cards is different
For credit cards, APR is simply the interest rate (daily rate × 365) and does not include annual fees in the same way. For installment loans and mortgages — what this calculator models — APR includes fees as described. Always check which definition an offer is using.