Effective Annual Rate Calculator
Calculate Effective Annual Rate (EAR) or Annual Percentage Yield (APY) from nominal annual interest rate and compounding frequency (daily, monthly, quarterly, continuous).
Understanding Effective Annual Rate (EAR) vs Nominal Rate
The Effective Annual Rate (EAR) Calculator allows you to calculate the true annual interest earned or paid when compounding occurs more frequently than once per year. Also known as the Annual Percentage Yield (APY), EAR accounts for intra-year interest compounding, offering an accurate comparison between different financial products.
The Effective Annual Rate Formula
For periodic compounding $m$ times per year with nominal rate $i$:
$$\text{EAR} = \left(1 + \frac{i}{m}\right)^m - 1$$
For continuous compounding:
$$\text{EAR} = e^i - 1$$
Why EAR is Essential for Financial Comparisons
A savings account advertising a 6.00% nominal annual rate compounded monthly yields an effective annual rate of 6.17%. Because banks and lenders often advertise nominal rates (APR), converting rates to EAR enables apple-to-apples evaluation across investments, loans, and credit cards.
Frequently Asked Questions
What is the difference between APR and EAR?
APR (Annual Percentage Rate) is the simple nominal rate without intra-year compounding. EAR (Effective Annual Rate) includes compounding effects, representing the actual annual return or borrowing cost.
How does compounding frequency impact EAR?
Higher compounding frequencies (e.g., daily or monthly vs annual) result in higher EAR for the same nominal rate because interest earns interest sooner.
Is APY the same as EAR?
Yes. Annual Percentage Yield (APY) is the U.S. banking terminology for Effective Annual Rate (EAR).
What is continuous compounding?
Continuous compounding represents the mathematical upper bound of compounding frequency where interest is calculated infinitely often across every instant.
Related Tools
State Local Sales Tax Calculator
Increment Clock Time
Roof Shingle Calculator
Arctan Calculator
Young Laplace Equation Calculator
Final Grade Calculator
Convert Ascii To Utf8
Decode Negative Binary
Rem To Point Converter
Parallelogram Calculator
Graham's Law Calculator
Add Calculator
Reverse Integer Digits
Buried Spiral Rib Pipe Calculator
Hexagon Quilt Calculator
Glasgow Coma Scale Calculator
Ohio Paycheck Calculator
Futoshiki Generator
Pool Salt Calculator
Validate CSV