π APR Calculator
The true yearly cost of a loan, fees included.
True annual percentage rate
Estimates for planning only, not financial advice.
APR is the true yearly cost of a loan, expressed as one percentage. It starts with the quoted interest rate and folds in prepaid fees like origination charges and discount points, so two loans with the same rate but different fees get different APRs. Use it to compare loans with the same term: the lower APR is the cheaper loan, almost every time.
How to Use This Calculator
Use the "From Loan Terms" tab when you have a loan offer: enter the loan amount, the prepaid fees (origination, points, lender charges), the quoted note rate, and the term. The calculator builds the monthly payment from the note rate, subtracts the fees from what you receive, and solves the true APR. Use the "From Payment Amount" tab when you only know the cash you get, the monthly payment, and the number of payments, such as a car dealer quoting "$495 a month for 60 months" on $25,000.
Pick the tab that matches what you know: full loan terms with fees, or just the amount received and the payment schedule.
Enter your numbers. For loan terms, list every prepaid lender fee you can find on the Loan Estimate under origination charges and points.
Read the true APR plus the effective APR (with compounding), the total of all payments, and the total finance charge over the life of the loan. To see the full payment schedule behind those totals, run the same loan through our loan amortization calculator.
What APR Really Measures
The equation says: what monthly interest rate makes the present value of every payment you will make exactly equal to the cash you actually walk away with? Because r appears both inside the exponent and in the denominator, no algebra isolates it, so the calculator uses a binary search: it tries a rate, checks whether the present value is too high or too low, and halves the interval about 100 times until r is pinned down precisely. Multiplying by 12 gives the nominal APR that US lenders must disclose under the Truth in Lending Act. The effective APR applies compounding and is always slightly higher.
APR vs Interest Rate vs APY
Three numbers get quoted in lending, and they answer different questions. Your note rate sets the monthly payment. The APR prices the whole deal, fees included. APY measures what savings earn after compounding, which is the mirror image of borrowing cost. Mixing them up is the easiest way to pick the wrong loan.
| Number | What it tells you | Use it to |
|---|---|---|
| Note rate (interest rate) | Yearly cost of the balance alone | Budget the monthly payment |
| APR | Yearly cost including prepaid fees | Compare same-term loans |
| Effective APR | APR with monthly compounding applied | See the compounding-aware cost |
| APY | Yearly yield on savings or deposits | Compare savings accounts |
My rule is simple: shop on APR, budget on the note rate. The APR picks the winner, the note rate tells you what leaves your checking account each month. A loan can carry the lowest APR on the table and still wreck your cash flow if its payment is too high, so check both before you sign.
Worked Examples
Mortgage example: borrow $200,000 at a 6.5 percent note rate for 30 years with $5,000 in prepaid fees. The scheduled payment is $1,264.14 a month, but you effectively receive only $195,000. Solving gives a monthly rate of about 0.5621 percent, so the true APR is 6.75 percent, not 6.5 percent. Total of payments is $455,089 and the total finance charge is $260,089 on the $195,000 received. If those fees are discount points, our mortgage points calculator shows whether buying the rate down pays off.
Car loan example: you receive $25,000 and pay $495 a month for 60 months. The present-value equation solves to a monthly rate of about 0.583 percent, giving an APR of 7.00 percent. Total paid is $29,700, so the finance charge is $4,700. If a second dealer offers $485 a month for 60 months on the same $25,000, the APR drops to about 6.14 percent, and you can see instantly which deal is cheaper without decoding any fee schedule.
Which Fees Count Toward APR
Not every closing cost lands in the APR. Federal rules split costs into prepaid finance charges, which count, and third-party or escrow items, which mostly do not. That split is why two Loan Estimates with the same bottom line can produce different APRs.
| Counts toward APR | Usually excluded |
|---|---|
| Origination and lender fees | Appraisal fee |
| Discount points | Title insurance and search |
| Underwriting and processing fees | Recording and transfer taxes |
| Mortgage insurance premiums | Prepaid taxes and homeowners insurance |
Here is my honest advice: never compare loans on APR alone when the fee mix looks odd. If one lender loads costs into excluded buckets while another lists them as origination, the APRs are not apples to apples. Read the Loan Estimate line by line. The APR is the headline, not the whole story.
Reading APR Like a Lender
APR shines when you compare loans with the same term: the lower APR is the cheaper loan, full stop. It gets trickier across different terms, because APR assumes you hold the loan to maturity. If you plan to sell or refinance in five years, heavy upfront points look worse than their 30-year APR suggests, since you pay the full fee but only enjoy five years of the lower rate. The honest comparison for short holding periods is total cost over the years you will actually keep the loan: fees plus payments made minus the remaining balance you would still owe. Also remember that APR is a cost measure, not a payment measure. A 15-year loan has a lower APR than a 30-year loan at the same rate, but its monthly payment is much higher, and cash flow matters as much as total cost.
When APR Misleads You
APR has one blind spot worth knowing: it assumes you keep the loan for the full term. Sell or refinance a 30-year mortgage in year four, and the points you paid get spread over four years instead of thirty, so your real yearly cost was far above the disclosed APR. Short-term loans have the opposite quirk. Fixed fees spread over a few payments inflate the APR, which is why a six-month loan can show a frightening APR while costing little in actual dollars.
For any loan you might exit early, skip the APR beauty contest and price your real holding period instead: upfront fees plus the payments you will actually make. The calculator's total finance charge row is built for exactly this. And if you are weighing a refinance, our refinance break-even calculator turns the fee-versus-savings tradeoff into a single month count.
Estimates for planning only, not financial advice.
Frequently Asked Questions
What is APR and how is it different from the interest rate?
The interest rate (note rate) is what the lender charges on the loan balance. The APR (annual percentage rate) folds prepaid finance charges, such as origination fees and points, into one yearly rate, so it reflects the true cost of borrowing. A $200,000 loan at a 6.5 percent note rate with $5,000 in fees has a true APR of about 6.75 percent. The bigger the fees relative to the loan, the wider the gap between the two numbers.
How is APR actually calculated?
There is no simple plug-in formula for APR. The math finds the monthly rate r that makes the present value of all your payments exactly equal the amount you actually receive: amount received = payment x (1 - (1+r)^-n) / r. This calculator solves it with a binary search that narrows in on r to better than one hundred-thousandth of a percent, then annualizes it as APR = r x 12, the standard method under US Truth in Lending rules.
Why is my APR higher than my quoted rate?
Fees. When you pay $5,000 in origination charges on a $200,000 loan, you are really borrowing $200,000 but only receiving $195,000 of value while making payments sized for the full $200,000. The APR captures that hidden cost. A loan with a slightly higher rate but zero fees can have a lower APR than a low-rate loan loaded with points, which is exactly why APR exists: to make different fee structures comparable.
What is the difference between APR and APY?
APR is the annualized cost of borrowing, while APY (annual percentage yield) is the annualized return on savings after compounding. They move in opposite directions of the same idea: APR tells you what debt costs you per year, APY tells you what savings earn you per year. This calculator also shows the effective APR, which is (1 + monthly rate)^12 - 1, the compounding-aware cousin of the nominal APR.
Can I use APR to compare a 15-year and a 30-year loan?
Only with caution. APR assumes you keep the loan for its full term, so it understates the cost of fees if you sell or refinance early, and it makes the 15-year loan look dramatically cheaper. For a fair comparison, also compare total finance charges and the break-even point: divide the fees by the monthly payment savings to see how many months it takes the lower-rate loan to pay off.
Does APR include all closing costs?
No. Under federal rules, APR includes prepaid finance charges like origination fees, discount points, and mortgage insurance premiums, but it excludes many third-party costs such as title insurance, appraisal fees, and prepaid taxes and insurance in some cases. So APR is the best single-number comparison of loan cost, but the Loan Estimate's total "cash to close" still matters for your actual out-of-pocket math.
Is APR the same as the interest rate on a credit card?
On credit cards the APR and the interest rate are effectively the same number, because no prepaid lender fees get folded into it. Your purchase APR is simply the yearly cost of carrying a balance, converted to a daily periodic rate. Watch the other APRs on the same card, though: cash advance and penalty APRs are usually much higher than the purchase APR, and balance transfer offers carry their own terms and fees.
What is a good APR for a personal loan?
It depends on your credit and the market, but as a rough guide, strong credit often earns single digits to low teens, fair credit lands in the high teens, and weak credit can face 25 percent or more. My take: above 20 percent, treat the loan as an emergency tool, not a financing strategy. Always compare the total finance charge, not just the monthly payment, because a low payment stretched over more years can cost far more.
Can APR change after I sign a fixed-rate loan?
No. On a fixed-rate loan the APR is locked at closing and cannot move for the life of the loan, which is part of its value as a comparison tool. On an adjustable-rate mortgage the disclosed APR is only an estimate built from the initial rate, so the real cost drifts as the rate adjusts. If you are comparing ARMs, ask each lender which index and margin drive the adjustments.
Why do two lenders quote the same rate but different APRs?
Because their fees differ. The note rate prices only the balance, while the APR prices the balance plus the prepaid finance charges. If Lender A quotes 6.5 percent with $2,000 in fees and Lender B quotes 6.5 percent with $8,000 in fees, Lender B's APR will be noticeably higher. When rates match but APRs do not, the higher-APR lender is charging more upfront. That gap is exactly what APR was invented to expose.