General APR Calculator
APR calculator with compounding and payback options
Estimate real APR and repayment cost including loaned fee and upfront fee.Input details
Summary Result
Nominal APR %
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Effective APR (EAR) %
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Amount Financed
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Upfront Out-of-Pocket Fee
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Payment Every Month
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Total Payments
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Total Interest
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All Payments and Fees
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Principal, Interest and Fee Breakdown
Principal--
Interest--
Fee--
Amortization Schedule
| Year | Amount | Total payment | Interest | Principle | Balance |
|---|---|---|---|---|---|
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| Month | Amount | EMI | Interest | Principle | Balance |
|---|---|---|---|---|---|
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General APR Formula and Instructions
Method 1: Effective Rate Conversion
- Nominal annual rate is converted from compounding frequency to effective annual rate.
- Effective annual rate is then converted to selected payback-period rate.
Method 2: Periodic Payment
- Payment = P x r x (1+r)^n / ((1+r)^n - 1), where P is amount financed, r is payback-period rate.
- If periodic rate is zero, payment = principal / number of periods.
Method 3: APR (nominal and effective)
- Nominal APR is the all-inclusive headline rate: the per-payment cost of credit (IRR) that equates the present value of all payments to the net cash you receive (loan amount minus upfront fee), multiplied by payments per year. It matches how loan APR is usually quoted next to the stated interest rate.
- Effective APR (EAR) is the once-per-year compound equivalent: (1 + periodic IRR)payments per year − 1. It is higher than nominal when there are multiple payment periods per year.
- Both reflect interest and fees (loaned fee is in the amount financed; upfront fee reduces net proceeds).
- All Payments and Fees = total of scheduled payments plus upfront fee (loaned fee is included in the amount financed and in those payments).