APR to APY Converter
Convert a rate to its effective APY by frequency. Free, private, and calculated entirely in your browser.
APR to APY Converter
The same headline rate looks higher once it compounds. See the effective APY at every common frequency.
| Compounding | Effective APY |
|---|---|
| Annually | 10.000% |
| Quarterly | 10.381% |
| Monthly | 10.471% |
| Weekly | 10.506% |
| Daily | 10.516% |
| Continuously | 10.517% |
An APR of 10% becomes an effective 10.52% APY when it compounds daily. The extra 0.52 percentage points is the compounding itself: earning rewards on rewards. This is why a protocol quoting APY looks higher than one quoting the same APR.
How this is calculated
APY = (1 + APR/n)^n - 1, where n is compounding periods per year (e^APR - 1 for continuous)
- APR is the simple annual rate; APY is the effective rate after compounding.
- Assumes the rate is constant and every period is reinvested.
- Protocols often advertise APY (the bigger number) while paying an underlying APR.