Calculating your effective annual yield (apy) is straightforward once you know the APY formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the APY Calculator.
What is APY?
The APY calculation tells you your effective annual yield (apy) from a few simple inputs. The figure you are solving for here is the effective annual yield (apy), expressed in percent.
The APY formula
The core formula is:
Effective annual yield (APY) = ((1 + Nominal annual rate ÷ 100 ÷ Compounding frequency)^(Compounding frequency) - 1) × 100Here is what each input means:
- Nominal annual rate — a percentage, such as an annual rate. Example: 12%.
- Compounding frequency — one of: Annually, Semi-annually, Quarterly, Monthly, Daily. Example: Monthly.
How to calculate it step by step
- Write down the nominal annual rate (for example, 12%).
- Choose the compounding frequency (for example, Monthly).
- Apply the formula above to get your effective annual yield (apy).
- Double-check the result with the APY Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| Nominal annual rate | 12% |
| Compounding frequency | Monthly |
| Effective annual yield (APY) | 12.683% |
With nominal annual rate of 12% and compounding frequency of Monthly, the effective annual yield (apy) works out to 12.683%.
Example 2
With nominal annual rate of 24% and compounding frequency of Monthly, the effective annual yield (apy) works out to 26.824%.
| Result | Value |
|---|---|
| Effective annual yield (APY) | 26.824% |
Example 3
With nominal annual rate of 6% and compounding frequency of Monthly, the effective annual yield (apy) works out to 6.168%.
| Result | Value |
|---|---|
| Effective annual yield (APY) | 6.168% |
Tips for an accurate result
- Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
- Round only at the very end. Rounding inputs early can shift the final answer noticeably.
- Re-run the numbers whenever an input changes, rather than estimating from an old result.
- Annual rates must be converted to the period you are calculating for (for example, divide an annual rate by 12 for a monthly figure).
Prefer not to do the maths by hand? — the APY Calculator does it instantly, for free, with the formula and a worked example built in.
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