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Academic Guide6 min read369 Words

APR vs APY: What is the Difference?

A detailed mathematical look at interest rates. Learn how compounding interest alters nominal rates and why understanding the difference between APR and APY is vital for borrowers and savers.

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CalculatorHub Editorial BoardMedically & Mathematically Reviewed • Updated 2026
APR vs APY: What is the Difference?
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Article Overview

A detailed mathematical look at interest rates. Learn how compounding interest alters nominal rates and why understanding the difference between APR and APY is vital for borrowers and savers.

The Basics of Interest
What is APR (Annual Percentage Rate)?
What is APY (Annual Percentage Yield)?
The Compounding Mathematical Factor

The Basics of Interest

Interest is the cost of borrowing money or the reward for lending/investing it. However, the interest number alone doesn't tell the full story without factoring in the compounding calendar.

What is APR?

Annual Percentage Rate (APR) represents the simple interest rate calculated over a year, plus standard fees. It does not account for the compounding of interest within that year.

What is APY?

Annual Percentage Yield (APY) represents the true effective rate of return including compound interest. Because compound interest earns money on top of previously earned interest, APY is always higher than simple APR.

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