Finance

Effective Annual Rate

EAR from nominal rate and compounding.

Formula

Formula
EAR = (1 + rn)n − 1

Variables

SymbolDefinitionType & rangeUnitsRole
r nominal annual rate real number (ℝ) input
n compounding periods/yr integer (ℤ) input

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givennominal rate (%) = 12, periods/yr = 12
Result12.68250301
Example 2
Givennominal rate (%) = 6, periods/yr = 4
Result6.136355062