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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.
Водич чекор-по-чекор
- 1EAR = (1 + r/n)^n − 1
- 2r = nominal (stated) annual rate, n = compounding periods per year
- 3Daily compounding always gives a higher EAR than monthly, which is higher than annual
- 4APY (Annual Percentage Yield) on savings accounts IS the EAR
Worked Examples
Влез
12% nominal, monthly compounding
Резултат
EAR = 12.68%
(1 + 0.12/12)^12 − 1
Влез
12% nominal, daily compounding
Резултат
EAR = 12.75%
(1 + 0.12/365)^365 − 1
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