APR Calculator: Find Your Loan's APR With Fees

The stated nominal rate sets monthly interest on the repayment principal. APR also reflects the amount and timing of credit received and repayments, including qualifying upfront charges. A fee can increase APR even at a 0% stated interest rate. This APR estimate is nominal annually, not an effective annual yield; it does not use an annual compounding conversion.

To see the full month-by-month payment schedule for the same loan, use our loan calculator.

The supported method is the regular-monthly actuarial present-value specialization of Regulation Z Section 1026.22(a)(1) and Appendix J(b)(1), (b)(3)-(5), (b)(8) and (c)(1). There is one advance at time zero, followed by payments exactly one, two, and so on equal monthly periods later. The first period is a full month, with no odd days. All months are treated as equal. There are no date-based or fractional-period inputs.

AF = sum(Payment[k] / (1 + j)^k), k = 1..N
APR (%) = j * 12 * 100

AF is amount financed, j is the solved monthly periodic rate, and N is the number of payments. The payment schedule uses the stated annual nominal percentage rate divided by 100 and then by 12. Payments and monthly interest round half-up to cents; the final payment settles the remaining balance. The solver uses every actual rounded payment, including the final adjustment, rather than multiplying the regular payment by the term.

Bisection solves the strictly decreasing present-value equation over monthly rates from 0 to 10 (0% to 12,000% nominal annually), with at most 160 iterations. Both the rate bracket and cash-flow residual must converge: bracket width at most 10^-13 times max(1, monthly rate), and residual at most max(0.0001 cent, amount-financed cents times 10^-12). Values outside the bracket or failing either test receive no APR estimate. Rates are displayed to two decimals, not rounded during solving.

The model supports base and repayment principal up to $1 billion, nominal rates from 0% to 100% with six decimals, and 1 to 600 whole monthly periods. It rejects sub-cent or non-amortizing payments, early payoff caused by rounding, large rounding balloons, and schedules whose no-upfront-charge cash-flow yield differs from the stated rate by more than 0.005 percentage points. That last threshold is a product precision safeguard, not a legal disclosure tolerance.

The base principal is the original loan amount before the entered charge. A percentage charge is applied to that base, after cent rounding. All entered upfront charges are assumed to qualify as finance charges incurred at consummation. The tool does not decide that classification under Section 1026.4.

Withheld: repayment principal equals base principal, while amount financed and cash received equal base principal minus the charge. Financed: repayment principal equals base principal plus the charge, while amount financed and cash received equal base principal. The financed charge is excluded from amount financed, not subtracted from the base a second time. These definitions follow the simplified fee treatments illustrated in Section 1026.18(b)(3).

Total interest is the interest charged on repayment principal, including interest on a financed fee. Total qualifying finance charges equal total interest plus the upfront charge. Total repayment is the sum of scheduled payments, so total repayment minus amount financed equals total finance charges. Do not add a financed or withheld charge to that difference again. Amount financed and cash received coincide only in this cash-disbursement model; actual disclosures can include other amounts paid on a borrower's behalf.

For $10,000 base principal at 12% nominal interest for 12 months, a $200 withheld charge leaves $9,800 in amount financed and cash received. The regular payment is $888.49, the final payment is $888.47, total interest is $661.86 and total repayment is $10,661.86. Total finance charges are $861.86. The cash-flow APR is approximately 15.854644%, displayed as 15.85%.

If the same $200 charge is financed, the repayment principal is $10,200 but amount financed and cash received are $10,000. The regular payment is $906.26, the final payment is $906.21, interest is $675.07 and total repayment is $10,875.07. Total finance charges are $875.07 and estimated APR is approximately 15.777527%, displayed as 15.78%. These scenarios deliver different amounts of cash, so do not compare the APRs as if the cash received were identical.

Without an upfront charge, the same base loan's cash-flow APR is approximately 12.000115%, displayed as 12.00%. Its tiny difference from 12% comes from cent-rounded interest and the adjusted final payment, not an extra charge.

APR includes finance charges: costs you pay as a condition of getting the loan.

Origination fees generally count as finance charges and are included in APR. Enter only upfront charges that qualify for your transaction; some required charges are excluded under Regulation Z. This calculator does not classify fees.

On an installment loan, qualifying upfront finance charges may include:

• Origination, processing or underwriting fees
• Points or loan discount fees
• Other upfront charges that qualify as finance charges under the applicable rules

These are usually not finance charges: application fees charged to every applicant whether or not the loan is approved, late payment fees, and charges you would pay in a comparable cash purchase. Your lender's disclosure shows which fees were counted, so use it to check your entry.