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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.

ステップバイステップガイド

  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

解いた例

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

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