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Effective annual interest calculator

Effective annual interest rate is calculated as (1+i_month)^12 − 1. Use the stated system boundary and matching input units.

ieff=(1+imonth)12−1i_{\text{eff}} = \left(1 + i_{\text{month}}\right)^{12} - 1

Calculator

Enter the values you know and leave one box empty. Calculate finds the empty one, the result or any input.

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Worked example

Given

  • imonthi_{\text{month}} = 0.01 —
ieff=(1+0.01)12−1≈0.1268i_{\text{eff}} = \left(1 + 0.01\right)^{12} - 1 \approx 0.1268

Symbols and units

SymbolMeaningUnit
ieffi_{\text{eff}}effective annual interest rate—
imonthi_{\text{month}}monthly compound interest rate—

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Results are estimates for study and screening. Check the inputs, units and assumptions before you use them for design, billing or contract decisions.