APR Calculator
Estimate annual percentage rate from a loan rate and fees—or from a known payment.
| Effective annual rate | — |
|---|---|
| Total fees entered | — |
| Financed balance | — |
| Number of payments | — |
| Total future payments | — |
| APR added by fees | — |
What this APR calculator includes
APR combines the timing of equal loan payments with the economic amount received after entered costs. You can start from a stated rate and fees, or enter a lender’s quoted payment and solve for the implied annual rate. Monthly, semimonthly, biweekly, weekly and quarterly payments are supported.
Checked example: a $10,000 loan for 3 years at 8% with monthly payments, a 1% fee and $200 fixed fee deducted from proceeds has a payment of about $313.36 and an estimated APR of about 10.08%.
APR formulas
For a periodic rate r, payment P, number of payments n, balloon B and net proceeds A, the calculator solves: A = P × [1 − (1 + r)−n] ÷ r + B ÷ (1 + r)n. Nominal APR = r × payments per year. Effective annual rate = (1 + r)payments per year − 1.
Fee treatment
- Deducted: the scheduled balance stays at the loan amount, but fees reduce cash received.
- Paid separately: the borrower receives the stated amount and pays the fees at origination; the net economic proceeds are the same.
- Financed: fees are added to the balance and repaid through scheduled payments.
Limits and disclosure
This is a cash-flow estimate, not a lender disclosure or financial advice. Official APR can differ because of jurisdiction-specific rules about which charges count, odd first periods, prepaid interest, points, insurance, escrow, taxes, rounding and exact payment dates. Compare the result with the lender’s required disclosure.