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APY Calculator

APY Calculator
Calculate Annual Percentage Yield from APR and compounding frequency
%

Stated interest rate

How often interest is calculated and added

APY (Annual Percentage Yield)

5.12%

Effective annual rate

APR (Stated Rate)

5%

Nominal annual rate

Difference

+0.12%

APY gain from compounding

APY by Compounding Frequency

CompoundingAPYDifference from APR
Annually5.00%+0.00%
Semi-annually5.06%+0.06%
Quarterly5.09%+0.09%
Monthly5.12%+0.12%
Weekly5.12%+0.12%
Daily5.13%+0.13%

APY Formula

APY = (1 + APR/n)^n - 1

Where n = number of compounding periods per year

About the APY Calculator

The APY Calculator converts a nominal interest rate and compounding frequency into the Annual Percentage Yield, the single number that tells you what you will actually earn in a year once compounding is included. APY is defined as (1 + r/n)^n - 1, where r is the nominal annual rate and n is the number of compounding periods per year. Because it folds compounding into one figure, APY lets you compare savings accounts and CDs on an apples-to-apples basis even when they compound daily, monthly, or quarterly.

The key distinction this tool makes clear is between the stated nominal rate (sometimes called APR on the deposit side) and the effective yield. A 5% rate compounded monthly produces an APY of about 5.12%, while the same 5% compounded daily produces roughly 5.13%. Banks are required to advertise APY on deposit products precisely because it reflects the true earning power, removing the confusion that different compounding schedules would otherwise create.

Use the APY Calculator whenever you are shopping for a high-yield savings account, certificate of deposit, or money market account and want to rank offers fairly. It complements the Daily Compound Interest calculator, which shows the dollar growth of a balance, and the Future Value Calculator, which projects a goal forward including regular contributions. For loans and credit, remember that the borrowing equivalent is APR, which moves in the opposite direction of your interest.

A useful tip is to always compare APY to APY rather than mixing it with nominal rates. If a competing product only lists a nominal rate, plug it into this calculator with the correct compounding frequency to reveal the true APY before deciding. Even a tenth of a percentage point compounds into real money over many years on a large balance.

Frequently asked questions

What is the difference between APR and APY?
APR is the simple nominal annual rate without compounding, while APY includes the effect of compounding within the year, making APY the more accurate measure of what you actually earn.
How do I calculate APY from a nominal rate?
Use APY = (1 + r/n)^n - 1, where r is the nominal annual rate as a decimal and n is the number of compounding periods per year.
Why is APY always higher than the nominal rate?
Because interest earned during the year itself earns interest. The more frequent the compounding, the larger the gap between the nominal rate and the APY.
Which compounding frequency gives the highest APY?
Continuous compounding gives the theoretical maximum, but among common schedules daily compounding produces the highest APY, followed by monthly, then quarterly and annually.