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Results are estimates only and should not be considered financial or medical advice. Always consult a qualified professional.

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APY Calculator

Convert a nominal APR into the true annual percentage yield and see how compounding frequency changes what you actually earn.

%
$

Results

APY (Effective Annual Rate)

5.116%

Balance After 1 Year

$10,511.62

Interest Earned

$511.62

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Compounding Frequency Comparison

Compounding FrequencyNominal APRAPY
Daily (365x)5.00%5.1267%
Monthly (12x)5.00%5.1162%
Quarterly (4x)5.00%5.0945%
Semiannually (2x)5.00%5.0625%
Annually (1x)5.00%5.0000%

At the same nominal APR, more frequent compounding always yields a higher APY.

Results are estimates only and should not be considered financial advice. Always consult a qualified professional before making financial decisions.

Formula

APY = (1 + r/n)^n − 1

Worked Example

5% APR compounded monthly: APY = (1 + 0.05/12)^12 − 1 = 5.116%. $10,000 grows to about $10,511.62 in one year.

Frequently Asked Questions

What's the difference between APR and APY?
APR is the simple nominal rate before compounding. APY is the effective annual rate after compounding is applied. Because of compounding, APY is always equal to or higher than APR.
Why is APY higher than APR?
Compounding. When interest is credited more than once per year, each period's interest earns interest in later periods. More frequent compounding produces a higher APY.
Daily vs monthly compounding: which is better?
Daily compounding produces a slightly higher APY at the same nominal rate because interest is credited 365 times per year instead of 12. The difference is usually small.
How do banks quote APY?
Banks advertise APY by law because it is the true annualized figure customers actually earn. The nominal APR is what they often divide to calculate the daily or monthly periodic rate.
Is a savings account APY guaranteed?
No. Savings account APYs are variable and can change with the market. A CD, by contrast, locks in a fixed rate for the full term.
How do I compare a CD and savings account fairly?
Compare the APY, not the nominal rate. Since APY accounts for compounding, comparing APYs between any two products tells you which truly pays more per year.

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