APR Calculator
Estimate APR for a regular fixed-rate loan with equal monthly payments and upfront finance charges.
Content updated August 2, 2026
This is an educational estimate for one advance at opening and equal monthly payments at equal intervals. It does not handle odd first periods, irregular cash flows, variable rates, or decide which charges legally belong in APR. Compare it with the creditor's required disclosure.
Annual percentage rate expresses the cost of credit as an annual rate and can reflect certain charges in addition to the note interest rate. For a regular loan, those upfront charges reduce the amount financed while the scheduled payments are still based on the full loan amount.
This calculator solves the monthly actuarial rate that makes the present value of all equal monthly payments match that reduced amount financed, then multiplies the periodic rate by 12. It is a bounded educational estimate, not a replacement for a creditor's legally required disclosure.
The APR formula
Amount financed = M[1 − (1+i)^−n] ÷ i; estimated APR = 12i × 100%Amount financed = loan amount − entered upfront finance charges · M = equal monthly payment based on the note rate · i = solved monthly actuarial rate · n = whole number of monthly payments. At i = 0, present value = M × n.
Worked example
For a $100,000 loan at a 6% note rate over 30 years with $2,000 of entered upfront finance charges, the scheduled payment is about $599.55 and the amount financed is $98,000. Solving the regular monthly cash flows gives an estimated APR of about 6.189%.
Assumptions, rounding, and limitations
Assumptions
- There is one advance at opening, followed by equal payments at equal one-month intervals.
- The note rate is fixed and nominal, with monthly interest at one-twelfth of the annual percentage.
- Entered upfront finance charges are paid at opening, reduce amount financed, and have been selected by the user as appropriate for this estimate.
- Loan amount, charges, payment, and borrowing-cost outputs use the selected currency unit.
Rounding: The rate solver uses 256 bisection iterations and retains floating-point precision. APR displays three percentage decimal places and currency displays use up to two decimals.
Limitations
- Supports loan amounts up to 1 trillion, note rates from 0% to 100%, whole-month terms from 1 month to 100 years, and charges below the loan amount.
- Does not support odd first periods, irregular payments, multiple advances, balloon payments, variable rates, or charge timing after opening.
- Does not classify charges, implement every legal disclosure convention or tolerance, or replace the creditor's required APR disclosure.
Sources
- Regulation Z Appendix J — Annual Percentage Rate Computations — Consumer Financial Protection Bureau
- Regulation Z § 1026.22 — Determination of APR — Consumer Financial Protection Bureau
- What is the difference between an interest rate and APR? — Consumer Financial Protection Bureau
How charges create a spread above the note rate
The note rate determines the scheduled payment on the stated loan amount. User-entered upfront finance charges are then subtracted from that amount to produce the model's amount financed—the net advance used in the APR equation.
Because the borrower receives a smaller net amount but makes the same scheduled payments, the rate that equates those cash flows is higher. With zero entered charges and otherwise regular monthly terms, the estimated APR equals the note rate.
Where this regular-payment model stops
Regulation Z Appendix J sets actuarial instructions for closed-end credit, including how advances, payments, and unit periods enter the equation. Timing matters, so odd first periods, multiple advances, irregular payments, balloon structures, or variable rates require a more complete cash-flow schedule.
The legal classification of each fee also matters. This tool does not decide which charges are finance charges or reproduce every disclosure convention and tolerance. Enter only charges you have independently determined belong in this simplified comparison.
Frequently asked questions
▶What is the difference between interest rate and APR?
The note interest rate is used to calculate interest on the loan balance. APR is a broader annualized credit-cost measure that can reflect certain charges as well as that interest.
▶Why is the estimated APR higher than the note rate?
Upfront finance charges reduce the net amount financed while scheduled payments remain based on the full loan amount, increasing the rate that equates the cash flows.
▶Should every closing cost be entered?
No. This calculator cannot decide which charges legally belong in APR. Use the relevant disclosure rules and creditor documents to identify the applicable charges.
▶Is APR the same as effective annual yield?
No. For this regular monthly model, APR is the solved monthly actuarial rate multiplied by 12; it is not compounded into an effective annual yield.
▶Can I use this for irregular or variable-rate loans?
No. The model assumes one advance at opening, a fixed note rate, and equal payments exactly one month apart.
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Open calculator →Disclaimer: APR Calculator results are estimates for general information and education only, and are not financial, tax, legal or medical advice. Verify important decisions with a qualified professional.