MihsabaEffective Annual Rate Calculator

Effective Annual Rate Calculator

Convert between nominal annual rate and effective annual rate with periodic or continuous compounding, including periodic rate and annual difference.

How to use

Effective annual rate folds intra-year compounding into one mathematical annual rate. The calculator converts nominal to effective rate or reverses the conversion for periodic or continuous compounding.

  1. Choose the conversion direction.
  2. Choose periodic or continuous compounding.
  3. Enter the rate and period count when applicable, then compare the annual rates.

How it is calculated

EAR=(1+r/n)^n−1; continuous EAR=e^r−1

Example

A 12% nominal rate compounded monthly gives EAR ≈ (1+0.12/12)^12−1 = 12.6825%.

Important notes

This is a compounding-math comparison only. Fees, taxes, day-count conventions and product terms can change real borrowing cost or yield; this is not financial advice.

Frequently asked questions

Nominal versus effective rate?

The nominal rate is stated before intra-year compounding is folded in; the effective rate includes that compounding effect.

What happens with annual compounding?

At n=1 the nominal and effective annual rates are equal.

Is continuous compounding supported?

Yes, using EAR=e^r−1 and the inverse r=ln(1+EAR).

Is this calculator free?

Yes. It is free to use and requires no account.