Conversion formula
rate = n x ((1 + APY) ^ (1 / n) - 1)n is the number of compounding periods per year. For daily compounding use 365. For monthly use 12.
APY conversion
APY is the annual yield after compounding. This conversion estimates the nominal interest rate that would produce that APY at a selected compounding frequency.
rate = n x ((1 + APY) ^ (1 / n) - 1)n is the number of compounding periods per year. For daily compounding use 365. For monthly use 12.
An APY of 5.00% with monthly compounding is roughly a 4.89% nominal annual rate. The more often interest compounds, the lower the nominal rate can be for the same APY.
Use APY calculatorCommon compounding periods
Use 365 periods per year for most daily-compounding savings estimates.
Use 12 periods per year for many savings and investment examples.
Use 1 period per year when the stated rate is applied once annually.
Decision guide
The inverse conversion answers a narrow question: what nominal annual rate, compounded a chosen number of times, corresponds to a target APY? It does not recover account fees, balance tiers, early-withdrawal penalties, or a promotional schedule. Match the compounding frequency before comparing the answer with a disclosure.
Use nominal rate = 12 x ((1 + 0.05)^(1/12) - 1). The result is about 4.889%. The nominal figure is lower than the APY because each month's credited interest can earn interest in later months. Choosing daily instead of monthly produces a different nominal rate for the same APY.
The calculator uses a constant-rate mathematical equivalence. CFPB rules define the APY institutions disclose and include special treatment for tiered and stepped rates. If the product already provides an APY, use that disclosure for comparison rather than reconstructing it from marketing copy.