APR Calculator: Annual Percentage Rate, Fees and Payment

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.