APR ↔ APY Converter
Convert nominal APR to effective APY (and back) with your compounding frequency—including continuous compounding.
Result (APY)
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Monthly Effective Rate
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Doubling Time (yrs)
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Conversions (based on your inputs)
| Frequency | m | APR (nominal) | APY (effective) |
|---|
Formulas: APY = (1 + APR/m)m − 1 ; APR = m·((1 + APY)1/m − 1). Continuous: APY = eAPR − 1, APR = ln(1+APY).