Effective Annual Interest Rate

Calculate the effective annual rate considering compounding.

Effective Annual Interest Rate Calculator

Calculator

Annual percentage rate before compounding

How often interest is compounded per year

Investment period in years (for comparison)

Effective Annual Rate

Annual Percentage Yield (APY)

Nominal Rate
Rate Difference
Compounding Effect

$10,000 Investment Growth

At Nominal Rate:
At Effective Rate:
Extra Earnings:

Compounding Frequency Comparison

Frequency Periods/Year Effective Rate $10k Growth

Formula

EAR = (1 + r/n)^n - 1
Where:
• EAR = Effective Annual Rate
• r = Nominal interest rate (decimal)
• n = Number of compounding periods per year
Continuous Compounding:
EAR = e^r - 1

Key Concepts

Effective Annual Rate (EAR):

The actual annual rate of return, accounting for compounding frequency. Also known as Annual Percentage Yield (APY).

Nominal Rate:

The stated annual interest rate without considering compounding effects.

Compounding Frequency:

How often interest is calculated and added to the principal. More frequent compounding results in higher effective rates.

Why It Matters:

EAR allows accurate comparison between investments with different compounding frequencies.

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