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כיצד לחשב את 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.

מדריך שלב אחר שלב

  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

Worked Examples

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

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