APR Calculator

The APR (annual percentage rate) is the true, all-in yearly cost of a loan — interest plus fees and points. This page has two calculators: a general APR calculator for any loan, and a mortgage APR calculator with points and PMI. Each shows the real APR, the monthly payment and the total cost.

Because two loans with the same interest rate can cost very different amounts once fees are added, the APR is the number that lets you compare them fairly. Enter your loan below — for a general loan or a mortgage — and see the real APR, how far it sits above the quoted rate, and the full cost over the life of the loan.

General APR Calculator

Any loan

Enter the loan amount, term, rate and any fees, then press Calculate.

$
yrmo
%
$
$

Mortgage APR Calculator

Home loan

Enter the house value, down payment, rate, fees and points, then press Calculate.

$
%
%
$
%
$

How the APR calculator works

The interest rate only tells you the cost of the money you borrow. The APR tells you the cost of the whole loan, because it rolls the fees and points into the rate. Both calculators above work the same way under the hood: they compute the monthly payment from the loan amount, rate and term, then find the single rate that makes the present value of those payments equal to the money you actually walked away with — the loan minus the fees and points you paid to get it. That rate, annualized, is the real APR.

The two versions differ only in their inputs. The general calculator takes a loan amount and lets you split fees into financed (rolled into the loan) and upfront (paid at closing). The mortgage calculator starts from a house value and down payment, and adds the costs a home loan involves — discount points and PMI. Use the APR alongside a full mortgage calculator and an amortization schedule when you compare offers.

How APR is solved

Net proceeds =loan − upfront fees − points
Find i so that:net proceeds = Σ payment ÷ (1 + i)t
APR =i × 12
  • i — the monthly rate the search solves for
  • t — each month, from 1 to the number of payments
  • payment — the monthly payment from the note rate
Worked example — $120,000 loan, 10 years, 6.5% rate, $3,000 upfront fees:
Payment ≈ $1,363/mo · Net proceeds = 120,000 − 3,000 = $117,000
Solve for the rate that discounts the payments to $117,000 → APR ≈ 7.06%

Why the APR beats the sticker rate

Two lenders can quote the same 6.5% and offer very different deals once the fees are counted. The APR exposes that difference in a single number: the loan with the lower fees will have the lower APR, even at an identical interest rate. That is exactly why the law requires lenders to disclose it. When you shop, line up the APRs, not just the rates — but do it for loans of the same term, because APR spreads upfront costs across the life of the loan and therefore looks cheaper on a longer one.

One caveat: the APR assumes you keep the loan

The APR spreads the upfront fees over the full term, so it quietly assumes you hold the loan to the very end. In reality most borrowers move, refinance or pay off early — and when they do, those upfront fees are absorbed over far fewer years than the APR assumed, making the true cost higher than the APR suggested. If you expect to sell or refinance within a few years, weight the upfront fees and points more heavily than the APR alone implies, and favour the loan with the lower fees.

What is a good APR? Typical ranges by loan type

A good APR is relative — it depends on the type of loan and, above all, on your credit. As a rough guide, the strongest borrowers see roughly the following: mortgages in the mid-single digits, auto loans around the mid-single digits for new cars and a little higher for used, personal loans anywhere from high single digits to the mid-teens, and credit cards commonly in the high teens to mid-twenties. Secured loans backed by a house or car carry the lowest APRs because the lender can recover the asset; unsecured borrowing costs more. Within any category, your credit score, term and down payment move the number substantially, so the real test of a good APR is whether it beats the other genuine offers you can get for the same loan. Always compare APR to APR — not APR against a bare interest rate — because only APR folds in the fees.

Estimate only — not a loan offer or financial advice. Which fees a lender folds into APR can vary; your official APR is the one on the lender's disclosure. Confirm figures with your lender.

How to use it & key terms

Pick the general calculator for any loan or the mortgage calculator for a home loan, enter the amount, term, rate and fees, and press Calculate to see the real APR and total cost.

TermWhat it means
APRThe all-in annual cost of a loan, including interest and fees.
Interest rateThe cost of the principal only, without fees.
PointsAn upfront fee to lower the rate; 1 point = 1% of the loan.
Financed feesFees rolled into the loan and repaid over time.
Upfront feesFees paid out of pocket at closing.
PMIPrivate mortgage insurance, charged until you reach 78% LTV.

Sources & methodology

Each calculator first computes the monthly payment with the standard fixed-rate amortization formula from the loan amount, the note interest rate and the number of payments. It then determines the net proceeds — the loan minus the upfront fees and points, which are treated as prepaid finance charges. The APR is the monthly rate that sets the present value of the payment stream equal to those net proceeds, found by a numerical search (bisection) and multiplied by twelve to annualize. In the mortgage calculator, any PMI is added to the monthly cash flow until the loan balance falls to 78% of the home value, matching how PMI cancels in practice.

Sources: Standard amortization and annual-percentage-rate conventions consistent with the U.S. Truth in Lending Act (Regulation Z) treatment of finance charges.

Where APR falls short: credit cards and adjustable rates

APR was designed for a fixed-rate loan with a set term and a predictable stream of payments — precisely what the two calculators above assume. On two very common products, though, that neat definition starts to bend, and the single headline percentage can quietly mislead. The first is the credit card. A card's APR is really just its periodic rate annualized, and because a card has no fixed term and no closing fees to fold in, its APR usually equals the nominal rate rather than sitting above it the way an installment loan's does. More importantly, a single card carries several APRs at once: one for purchases, another for balance transfers, another for cash advances, and a penalty APR that can take over after just one missed payment. The rate printed on the front of the offer is only the purchase APR.

The second is any adjustable-rate loan. When a lender discloses the APR on an adjustable-rate mortgage or a variable-rate personal loan, it has to assume something about a future nobody can know, so it assumes the index behind your rate simply never moves. That turns the figure into a snapshot rather than a promise: if rates climb after your fixed introductory period ends, your real cost rises above the APR you were quoted; if they fall, it drops below. Comparing the APRs of two adjustable loans tells you about their fees and their starting rates, but almost nothing about how differently they may behave once the adjustments actually begin.

The lesson is simply to match the measure to the product. For a fixed installment loan you plan to hold to term — a car loan, a fixed mortgage, a straightforward personal loan — APR is the honest, all-in comparison it was built to be, and the tools above hand it to you directly. For revolving or adjustable debt, treat APR as a starting point and read what sits beneath it:

  • Which balances each separate rate applies to.
  • When a promotional or introductory rate expires.
  • How high a variable rate is allowed to climb.
  • What behaviour triggers a penalty rate.

The one number is a fine place to begin a comparison, but on these products it rarely tells the whole story, and the details beneath it are where the real cost hides. Reading them before you sign is what keeps a low advertised rate from turning into an expensive surprise.

Frequently asked questions

What is APR and how is it different from the interest rate?

APR — the annual percentage rate — is the all-in yearly cost of a loan, expressed as a rate. It folds the interest together with fees, points and other finance charges, so it is usually higher than the plain interest rate, which measures only the cost of the principal. Because it captures the fees, APR is the fairer way to compare two loans, and in the U.S. lenders are required to disclose it under the Truth in Lending Act.

How is APR calculated?

APR is the rate that makes the present value of all the loan payments equal to the amount you actually receive after upfront fees and points are deducted. There is no simple closed formula, so it is solved numerically: the calculator first works out the monthly payment from the loan and interest rate, subtracts the fees and points from the loan to get the net proceeds, then searches for the rate that discounts the payment stream back to that net amount. Multiplying the monthly result by twelve gives the annual APR.

What is the difference between the general and mortgage APR calculators?

The general APR calculator works for any loan: you enter the loan amount, term, rate, and any financed or upfront fees. The mortgage APR calculator is tailored to a home loan: you enter the house value and down payment instead of a loan amount, plus mortgage-specific costs like discount points and PMI. Both return the same thing — the real APR — but the mortgage version handles the extra fields that mortgages involve.

Why is my APR higher than my interest rate?

Because the APR includes the fees and points you pay to get the loan, spread across the life of the loan as if they were extra interest. The more you pay in upfront costs relative to the amount borrowed, the wider the gap between the rate and the APR. A loan with no fees has an APR equal to its interest rate; a loan with heavy points and fees can have an APR well above the quoted rate.

Do points and fees change the APR?

Yes. Points and upfront fees reduce the net amount you receive while leaving the payments unchanged, which raises the APR. Discount points are the clearest example: paying points lowers the interest rate but adds an upfront cost, so whether they lower the APR depends on how long you keep the loan. Because the APR assumes you hold the loan to term, it can understate the cost of points for borrowers who refinance or sell early.

What is the difference between APR and APY?

APR is quoted on a simple monthly basis and is used for loans, while APY — annual percentage yield — accounts for compounding and is used for savings and deposits. At the same nominal rate, the APY is slightly higher than the APR because it reflects interest earning interest. Lenders advertise APR because it looks smaller, and banks advertise APY on savings because it looks larger, even when the underlying rate is the same.

What is the difference between a dividend rate and APY?

You will see both on credit-union savings accounts. The dividend rate is the plain nominal rate the account pays before compounding, since credit unions call their interest dividends. The APY, annual percentage yield, factors in how often it compounds, so it is slightly higher and reflects what you actually earn in a year. To compare savings accounts fairly, use the APY, because two accounts with the same dividend rate but different compounding earn different amounts. It is the savings-side mirror of how APR works for loans.

What is the difference between APR and EAR?

APR, the annual percentage rate, is quoted on a simple basis, the periodic rate times the number of periods, and it includes loan fees, which is why it is the standard for comparing loans. EAR, the effective annual rate, accounts for compounding: it shows the true annual cost once interest is charged on interest. For most consumer loans the two are close, but the more frequently interest compounds, the more EAR exceeds the nominal APR. Think of APR as the fee-inclusive comparison rate and EAR as the compounding-adjusted true rate.