APY to APR Calculator
Convert Annual Percentage Yield (APY) back to nominal Annual Percentage Rate (APR) for banking and investment yield analysis.
What this calculator does
The APY to APR Calculator estimates your result instantly from the values you enter, using standard credit cards formulas. Convert Annual Percentage Yield (APY) back to nominal Annual Percentage Rate (APR) for banking and investment yield analysis. Calculations run in your browser, so nothing you type is sent to a server, and the output is an estimate for planning rather than financial advice.
About APY to APR Calculator
The APY to APR Calculator calculates the underlying nominal Annual Percentage Rate (APR) from a stated Annual Percentage Yield (APY) given the compounding frequency.
Formula & Mathematical Calculation
APR = n × [ ( 1 + APY )^(1 / n) - 1 ]
Calculation Example
5.25% APY Compounded Daily (n=365): APR = 365 × [ (1.0525)^(1/365) - 1 ] = 5.117% Nominal APR.
Key Benefits
- Converts advertised APY to nominal APR
- Enables accurate mathematical modeling in custom financial spreadsheets
- Supports daily (365) and monthly (12) compounding conversions
- Useful for comparing banking deposit yields against bond coupons
- Free financial converter
How to Use this Calculator
-
Enter Advertised APY (%)
Input annual percentage yield. -
Select Compounding Frequency
Choose daily or monthly compounding. -
Calculate APR
Click Calculate to view nominal APR.
Assumptions & Limitations
What the calculation assumes
- Every value you enter is treated as an exact, known amount.
- Rates and contributions are assumed to stay constant for the whole period unless the form asks for them separately.
- Results use standard financial formulas and ignore fees, penalties and promotional terms that are not entered above.
- Inflation, tax changes and market volatility are not modelled unless a field for them is provided.
- Amounts are unit-agnostic: results are returned in the same currency you enter.
What it does not cover
- APY to APR Calculator produces estimates for education and planning, not a quote, offer or professional advice.
- Real-world outcomes differ when fees, taxes, rounding rules or provider-specific terms apply.
- Local regulations and tax rules vary by country and change over time; verify current rules for your jurisdiction.
- Figures are only as accurate as the inputs you supply — check them before acting on the result.
- For decisions with lasting financial impact, confirm the numbers with a qualified professional.