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So berechnen Sie Effective Annual Rate

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Effective Annual Rate (EAR), also called Annual Equivalent Rate (AER), is the actual annual interest rate accounting for compounding within the year. It allows comparison of loans or investments with different compounding frequencies.

Schritt-für-Schritt-Anleitung

  1. 1EAR = (1 + r/n)^n − 1
  2. 2r = nominal (stated) annual rate, n = compounding periods per year
  3. 3Daily compounding always gives a higher EAR than monthly, which is higher than annual
  4. 4APY (Annual Percentage Yield) on savings accounts IS the EAR

Gelöste Beispiele

Eingabe
12% nominal, monthly compounding
Ergebnis
EAR = 12.68%
(1 + 0.12/12)^12 − 1
Eingabe
12% nominal, daily compounding
Ergebnis
EAR = 12.75%
(1 + 0.12/365)^365 − 1

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