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Annual Percentage Yield Calculator — result sheet
Convert a nominal annual rate and compounding frequency into an effective annual yield.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: APY = (1+nominal rate/compounds)^compounds−1, reported as a percent.
The nominal rate is converted to a periodic rate before repeated compounding produces the effective annual result.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Nominal annual rate — %; minimum -99.999999; maximum 1000
- Compounds per year — minimum 1; maximum 100000
Worked example
| Input | Value |
|---|---|
| Nominal annual rate | 6 |
| Compounds per year | 12 |
Effective annual yield ≈6.17%.
Assumptions and limits
- The nominal rate is above −100%, compounding frequency is a positive whole number, and the rate is constant.
- Compounding periods are evenly spaced and there are no fees or deposits.
- Bank disclosures, taxes, inflation, and local consumer rules are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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