APR Calculator
Find a loan's real annual percentage rate (APR) once fees are counted, with the payment and total cost.
Change the values and press Calculate to work out your own figures.
Enter the loan, rate, term and fees.
Show the working
- payment = (amount + financed fees) × i ÷ (1 − (1 + i)^−n)
- APR = 12 × the monthly rate j at which the payments repay the amount less upfront fees
How to use it
Enter the loan, rate, term and fees.
Enter amounts without commas or with them; rates are percentages (5 for 5%). Negative amounts are allowed where a sign means money paid out.
Key facts
payment = (amount + financed fees) × i ÷ (1 − (1 + i)^−n) APR = 12 × the monthly rate j where payment × (1 − (1 + j)^−n) ÷ j = amount − upfront fees
APR vs rate
The interest rate sets the payment; the APR adds the fees so loans with different fees can be compared. It isn't the APY, which counts compounding.
Questions
What is the APR of a $100,000 loan at 6% with $2,500 in fees?
6.563% over 10 years.
Formulas
payment = (amount + financed fees) × i ÷ (1 − (1 + i)^−n) APR = 12 × the monthly rate j where payment × (1 − (1 + j)^−n) ÷ j = amount − upfront fees
Sources
Limitations
- Results are estimates for planning, not offers or financial advice; lenders and banks may round, count days or time payments differently.
- Rates are nominal annual rates compounded as you choose; payments at a different frequency use the equivalent periodic rate.