APR Calculator
Loans & MortgagesThe true cost of a loan with fees.
Loan & fees
Enter a loan amount to see its true APR.
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Enter a loan amount to see its true APR.
Know what this estimate is based on
- Jurisdiction
- General model; U.S.-specific rules are identified on the relevant tool
- Scope and limitations
- Educational estimate only. A lender may use different compounding, day-count, eligibility, tax, insurance, escrow, fee, or rounding rules.
- Source links checked
- Jul 30, 2026
Built and regression-tested by Smart Tools Lab. It has not been individually reviewed by a licensed financial, tax, or legal professional.
How to use
- 01
Enter the loan amount, the nominal (note) interest rate the lender advertises, and the term in months.
- 02
Open Advanced options to add the upfront finance charges — closing & admin fees, an origination fee as a percent of the loan, and any other prepaid charges — plus your income for an affordability check.
- 03
Read the true APR beside the nominal rate and the effective annual rate (EAR), then use the finance charge, the payment schedule and the APR-by-term ladder to compare offers on their real cost.
Formula
The monthly payment is fixed by the note rate on the full loan amount: M = amount × i × (1 + i)^n ÷ ((1 + i)^n − 1), with i = nominal rate ÷ 12 and n = the term in months. Upfront fees never change that payment — but they are deducted from the cash you receive, so the amount financed is net = amount − fees. The APR is the single rate that makes those same payments worth that smaller amount: the tool solves net = M × (1 − (1 + j)^−n) ÷ j for the monthly rate j by bisection, then annualizes it as APR = j × 12. With no fees, net equals the loan and the APR equals the nominal rate; every fee pushes it higher. The effective annual rate is a separate idea — it compounds the stated rate alone, EAR = (1 + i)^12 − 1, with no fees involved — so the APR and the EAR answer different questions. The finance charge is the legal all-in cost of the credit: total interest + every upfront fee, which also equals the total of payments minus the amount financed.
Example
Borrow 25,000 at a 9% nominal rate over 60 months, with 600 in closing fees and a 1% origination fee of 250 — 850 in prepaid finance charges. The payment is built on the full 25,000 at 9%, about 519 a month, and the fees never touch it. But you actually receive 25,000 − 850 = 24,150 in hand. Solving for the rate that turns 24,150 into those 519 payments gives an APR of about 10.49% — roughly 1.49 points above the 9% note rate, even though the payment never changed. Compounding the 9% nominal rate alone gives an EAR of about 9.38%, a different lens that ignores fees. Over the 60 months you repay about 31,138, so total interest is about 6,138; add the 850 in fees and the finance charge — the true cost of the credit — is about 6,988. On the APR-by-term ladder the same 850 in fees would push the APR to about 15.6% on a 12-month loan but only 10.3% over 72 months, because the fees are spread over more payments.
Definitions
- Loan amount
- The face value of the note that the monthly payment and interest are calculated on (0 to 1,000,000).
- Nominal interest rate
- The advertised note rate, before fees; it sets the monthly payment but not the true cost (0% to 40%).
- Loan term
- Months over which the loan is repaid; shorter terms spread the fees over fewer payments, raising the APR (6 to 120 months).
- Closing & admin fees
- Flat upfront charges deducted from the cash you receive — processing, documentation and similar — that lift the APR above the note rate (0 to 100,000).
- Origination fee
- A charge expressed as a percent of the loan amount; a common prepaid finance charge that raises the APR without changing the payment (0% to 10%).
- Other prepaid charges
- Any further upfront finance charges — broker or service fees — deducted from the proceeds (0 to 100,000).
- Amount financed
- The loan amount minus every upfront fee — the cash that actually reaches you, against which the APR is measured.
- True APR
- The annual percentage rate: the single rate that reflects both the interest and the upfront fees on the cash you actually receive.
- Effective annual rate (EAR)
- What the nominal rate compounds to over a year, (1 + nominal ÷ 12)^12 − 1. It captures compounding, not fees, so it is distinct from the APR.
- Finance charge
- The all-in legal cost of the credit: total interest plus every upfront fee, equal to the total of payments minus the amount financed.
- Total of payments
- Everything you repay over the term — the monthly payment multiplied by the number of months.
- Payment-to-income
- The monthly payment as a share of gross monthly income; under about 36% of income across all debts is a common comfort ceiling.
Good to know
The three rates: nominal, APR and EAR
Every loan quote really contains three different rates, and the gap between them is where a surprising amount of money hides. The nominal rate — also called the note rate — is the figure used to calculate your monthly payment; it is what most advertisements lead with because it is the smallest, friendliest number. The APR, or annual percentage rate, is a more complete measure that folds the upfront fees required to take out the loan into the cost, expressed as one annualized percentage. The two are equal only when a loan has no fees at all; as soon as there are origination charges, points, or closing costs, the APR rises above the nominal rate, because you repay the full loan amount's schedule while having received less than that amount in cash — the fees were skimmed off the top. The third rate, the effective annual rate or EAR, answers a separate question entirely: what does the nominal rate compound to over a year, once interest is charged month after month? It is calculated as (1 + nominal ÷ 12) raised to the twelfth power, minus one, and it involves no fees at all. Because the APR captures fees and the EAR captures compounding, they measure different things, and neither is reliably the larger of the two — with heavy fees the APR can exceed the EAR, while with no fees the EAR sits above the nominal rate and the APR equals it. This calculator shows all three side by side: the nominal rate you were quoted, the true APR once your fees are folded in, and the EAR your stated rate compounds to. Seeing them together is the whole point — once you have watched fees push the APR above the nominal rate, the figure in large print becomes a starting point to investigate rather than a number to trust, and your first question about any quote becomes what fees come attached to it.
What lenders fold into the APR
The gap between the note rate and the APR is made up of the finance charges a lender requires you to pay to obtain the loan. These typically include origination or processing fees, discount points paid to lower the rate, and certain administrative costs that are a condition of borrowing. The defining test is whether a charge is part of the cost of getting the credit itself. Costs you would incur regardless of which lender you chose, or genuinely optional purchases bolted onto the loan, are usually left out of the calculation. Because the exact set of included items can vary between products and between disclosure rules in different places, the APR you are quoted is only as comparable as the definitions behind it, and two lenders can in principle include slightly different things. That is why this calculator deliberately puts you in control: you enter the total upfront fees you want reflected, and it computes the APR on that basis, so you can decide what counts rather than trusting an opaque figure. This makes the tool useful for honest comparison shopping — enter each lender's fees on a like-for-like basis and the resulting APRs become directly comparable, even if the lenders themselves package their fees differently. It also makes the number transparent: you can see precisely how much a given pile of fees adds to your effective rate, rather than accepting a single percentage whose composition is hidden in the paperwork. When you gather quotes, it is worth asking each lender for an itemized list of fees and entering the same categories for all of them, so the comparison rests on the same foundation and the cheapest headline rate cannot win simply by hiding more of its cost in the fine print.
Why APR assumes you hold the loan to term
An important and underappreciated feature of the APR is that it spreads the upfront fees evenly across the entire life of the loan. The calculation answers a specific question: if I pay these fees once at the start and then make every scheduled payment to the very end, what single yearly rate describes my cost? That assumption is perfectly reasonable if you do indeed keep the loan for its full term, but it quietly breaks down if you repay or refinance early, which a great many borrowers do. When you exit a loan early, you have paid the full upfront fees but enjoyed them over only a fraction of the years they were meant to cover, so your real effective rate is higher — sometimes much higher — than the quoted APR. This is why APR can understate the cost of a loan you are likely to refinance soon, and why two loans with the same APR are not actually equivalent if you expect to hold them for different lengths of time. The shorter your real holding period, the more weight the upfront fees carry per year, and the more a low-fee, slightly-higher-rate loan tends to win against a low-rate, high-fee one. The practical lesson is to be honest with yourself about how long you will keep a particular loan before you lean on its APR. If you are buying a home you may sell in a few years, or taking a loan you expect to refinance when rates fall, lean toward minimizing upfront fees even at a marginally higher rate, because the APR's even-spreading assumption is flattering exactly the loans that will hurt you if you leave early. The APR is a powerful summary, but it summarizes a specific scenario, and you should check that the scenario matches your plans.
APR versus APY, and where EAR fits
APR is often confused with APY, but the two describe opposite sides of finance and are built on different mathematics, so mixing them up leads to comparing numbers that were never meant to be compared. APR — annual percentage rate — measures the cost of borrowing and, in its simplest standard form, does not compound; it is essentially an annualized periodic rate with fees folded in. APY — annual percentage yield — measures the return on savings or deposits and explicitly includes the effect of compounding, the way interest earns further interest over the course of a year. APY and the EAR this tool reports are the same compounding mathematics — (1 + periodic rate) raised to the number of periods, minus one — applied to opposite sides of the ledger: APY describes what a deposit earns, while the EAR here describes what your loan's stated rate grows to before any fees. That is exactly why the calculator keeps the EAR separate from the APR: one isolates compounding, the other isolates fees. Because of compounding, a savings account's APY is slightly higher than its stated nominal rate, while a loan's APR is higher than its note rate for a completely different reason: fees, not compounding. The two numbers therefore rise above their respective base rates through unrelated mechanisms, even though they look superficially similar. The practical guidance is simple and worth holding firmly. When you are borrowing, compare loans by APR, which captures the cost of the credit including its fees. When you are saving, compare accounts by APY, which captures the true growth of your money including compounding. Using the wrong one quietly distorts the comparison: judging a savings account by a nominal rate understates what it really earns, while judging a loan by a rate that ignores fees understates what it really costs. Lenders advertise the number that flatters them — a low APR or a high APY — so knowing which measure belongs to which side keeps you anchored to the figure that actually reflects your situation. Whenever you see a rate quoted, the first question to ask is whether it is a cost or a yield, and whether it has been expressed in the standardized form meant for that side of the ledger.
Standardized disclosure and why it exists
The reason APR appears on loan documents at all is to protect borrowers from being dazzled by a low advertised rate while fees quietly inflate the real cost. Before such measures, a lender could lead with an attractive interest rate and bury the true expense in a tangle of charges that no ordinary borrower could combine into a single comparable figure. Lending-disclosure rules in many countries therefore require lenders to calculate and present the APR using a consistent method, so that borrowers can line up competing offers and compare one standardized number rather than trying to mentally reconcile a rate with a list of fees. This standardization is genuinely valuable: it turns an opaque negotiation into a more level comparison and discourages the worst kinds of fee-hiding, because a lender that loads on charges sees them surface in a higher APR. It is not perfect, though, and treating it as a flawless guarantee is its own kind of mistake. Different products can include slightly different costs in their APR, variable-rate loans must make assumptions about future rates that may not hold, and, as noted, the figure assumes you keep the loan to term. Some genuinely cheaper loans can even show a marginally higher APR than rivals because of how a particular fee is classified. The sensible stance is to treat the APR as a powerful comparison aid that does most of the work for you, while remembering the assumptions baked into it and reading the fee itemization underneath. Used with that awareness — as a strong first filter rather than the final verdict — it remains the single best number for ranking loan offers fairly, and the disclosure rules that require it are squarely on the borrower's side.
Comparing offers the right way
To make APR do its job, you have to compare loans on equal footing, and a few disciplines turn the number from a rough guide into a reliable ranking. The APR of a one-year loan and a five-year loan are not directly comparable, because the same fees are spread over very different numbers of payments — and shorter loans show higher APRs for identical fees, which can make a perfectly good short loan look worse than a long one. So the first rule is to compare offers for the same loan amount and the same term, changing only the lender. The second is to look at the APR and the total amount repaid together: the APR ranks the rate, while the total repaid shows the absolute money involved, which matters when you are weighing a slightly higher APR on a smaller loan against a lower APR on a larger one. The third is to be honest with yourself about how long you will actually keep the loan, since that determines whether the fee-spreading assumption behind the APR fits your situation or flatters an offer you will leave early. Enter each competing offer's amount, rate, term, and fees into this calculator in turn — or save one offer and load the next using the save-and-compare panel, which lays the APR, payment, finance charge and fees of each side by side. The resulting comparison gives you a clean, like-for-like ranking, the surest way to catch a tempting low rate that hides its cost in heavier fees — but read it alongside the total cost and your real holding plan rather than chasing the lowest APR in isolation. It also helps to gather all your quotes within a short window, both so the underlying market rates are comparable and so that any credit checks the lenders run are treated as a single shopping event rather than many separate applications. Done this way, the comparison rewards the genuinely cheapest loan for your circumstances rather than the one with the cleverest advertisement.
Where APR can mislead you
For all its usefulness, APR has blind spots worth knowing, because the situations where it misleads are precisely the ones where a careless borrower can be caught out. On a variable-rate loan, the APR has to assume something about how the rate will move in the future, and that assumption can prove badly wrong, making the disclosed figure more of an estimate than a promise — the real cost depends on a path no one can predict. On loans with a balloon payment or an unusual repayment structure, a single annualized rate can flatten important details about when money is actually due, hiding a large lump sum behind a smooth-looking percentage. The early-repayment issue is the most common pitfall of all: because APR amortizes fees over the full term, it flatters loans you will exit early and understates their real cost, exactly the loans where the fees do the most damage per year you actually hold them. There is also the matter of which fees are and are not included, which can differ between lenders and quietly tilt a comparison in favor of whoever classified more of their charges as excludable. None of this means APR is untrustworthy — it remains the best standardized tool for comparing loans, and dismissing it would be a worse error than over-trusting it — but it does mean you should treat it as one strong input rather than the final word. Pair it with the total cost of the loan, an understanding of its repayment structure, and an honest view of your own plans, and you will sidestep the handful of situations where a clean-looking APR conceals a messier and more expensive reality. The number is a servant, not an oracle.
Reading your results: finance charge, schedule and the term ladder
The calculator surfaces more than a single APR, and each figure answers a question the rate alone cannot. The amount financed is the cash that actually reaches you — the loan minus every upfront fee — and it is the sum the APR is measured against, which is why fees deducted from the proceeds raise the rate without ever touching your payment. The finance charge is the most complete single measure of cost: it is the total interest plus every upfront fee, and it equals the total of payments minus the amount financed, so it captures in one number everything the credit costs you beyond the money you borrowed. When two offers differ in both rate and fees, the finance charge is often the cleanest figure to minimize. The monthly payment schedule breaks the loan into its individual payments, showing how each one splits between interest and principal and how the balance falls — slowly at first, because early payments are mostly interest, then faster as the balance shrinks. The APR-by-term ladder takes your loan, rate and fees and recomputes the APR at a range of terms, making vivid the rule that the same fees inflate the APR most on a short loan, where they are spread over the fewest payments. And if you have entered your income, the affordability read compares the payment with it; keeping all your debt payments comfortably under about a third of gross income leaves room to absorb the unexpected. Read together, these outputs turn a single advertised rate into a full picture of what a loan will actually cost and whether it fits your budget.
Points: paying upfront to lower your rate
Discount points are a particular kind of upfront fee with a clear and deliberate logic: you pay the lender a sum at closing in exchange for a lower interest rate over the life of the loan. Each point typically costs a percentage of the loan amount and buys a small reduction in the rate, and a borrower can sometimes choose how many points to buy, trading cash today for a smaller payment for months or years to come. Whether points are worth it comes down to a break-even calculation that ties directly to the holding-period theme running through APR. The points raise your APR and your upfront cash outlay, but they lower your monthly payment, so there is a number of months after which the accumulated payment savings finally exceed what you paid for the points. If you keep the loan well beyond that break-even point, buying points saves money overall; if you sell or refinance before reaching it, you have simply paid extra for a benefit you did not hold long enough to collect. Points therefore reward borrowers who stay put and quietly punish those who move on quickly, which is the same lesson the APR's term assumption teaches from another angle. The mirror image also exists: some loans offer negative points, or lender credits, where you accept a slightly higher rate in exchange for cash toward your closing costs, which can suit a borrower short on upfront funds or planning to leave early. You can model the effect of points in this calculator by entering them as an origination percent — or as an other prepaid charge — and watching how they lift the APR and the finance charge, then judge that higher cost against the lower payment and your honest expectation of how long you will keep the loan. As with everything in APR, the right choice depends less on the rate alone than on the path you actually intend to take.
Frequently asked questions
What is the difference between APR and the interest rate?
The nominal (note) rate sets your monthly payment. The APR folds in the upfront fees to express the loan's all-in cost as a single yearly rate. Two loans can share the same note rate but have very different APRs if one charges heavy fees. Comparing APRs — for the same amount and term — is the fair way to rank offers, which is exactly what a lower headline rate with higher fees is designed to hide.
How is the APR different from the effective annual rate (EAR)?
They answer different questions, so the tool shows both. The APR adds your upfront fees to the nominal rate but, in the simple US convention, does not compound. The EAR does the opposite: it compounds the stated rate over the year — (1 + nominal ÷ 12)^12 − 1 — and ignores fees entirely. Because they capture different effects, neither is always the larger of the two; with big fees the APR can exceed the EAR, and with no fees the EAR is higher.
Is APR the same as APY?
Not quite. APR describes the cost of borrowing and, in its basic form, does not compound. APY (annual percentage yield) describes the return on savings and does account for compounding — it is the EAR applied to a deposit. Use APR to compare loans and APY to compare deposit or savings accounts.
What fees are included in the APR?
Generally the finance charges required to get the loan: origination fees, discount points, and certain processing or broker costs. Charges you would pay regardless of the lender, or optional add-ons, are usually excluded. Because definitions vary, this tool lets you enter the closing fees, an origination percent and any other prepaid charges, so you control exactly what the APR and the finance charge capture.
Why does a shorter loan have a higher APR for the same fees?
Upfront fees are a one-time cost spread across the loan's payments. On a short loan there are fewer payments to absorb them, so each one carries more of the fee burden and the effective rate rises. The same fees over a longer term are diluted across many more payments, producing a lower APR — which the APR-by-term ladder shows at a glance.
What is the finance charge, and how is it different from total interest?
Total interest is just the interest you pay over the term. The finance charge is the full legal cost of the credit: total interest plus every upfront finance charge. It equals the total of payments minus the amount financed, and it is the truest single measure of what borrowing costs you — the number to minimize when offers differ in both rate and fees.
Does the APR assume I keep the loan to the end?
Yes. The APR spreads the upfront fees over the full term. If you repay or refinance early, you have paid those fees over fewer months, so your real cost is higher than the quoted APR suggests. The APR is most accurate when you intend to hold the loan for its whole term — if you expect to repay early, weigh the fees more heavily than the headline APR implies.