What is APY?
Annual percentage yield is an effective annual rate that includes compounding.
APR to APY Calculator
Convert annual rates in either direction with common compounding schedules.
Inputs
10.52%
APY · daily
10.00%
APR entered
0.52%
Difference
How it’s calculated
For n periods, APY = (1 + APR/n)^n − 1. The inverse is APR = n × ((1 + APY)^(1/n) − 1). Continuous compounding uses e^APR − 1 and ln(1 + APY).
Assumptions
Rates are entered as annual percentages. Discrete frequencies use 365, 52, or 12 periods per year. Negative annual rates at or below −100% are invalid.
Sources
Standard compound interest identities. The continuous conversion uses the natural exponential and logarithm.
FAQ
How does compounding frequency change APY?
For the same positive APR, more frequent compounding increases the effective APY.
Can I convert APY back to APR?
Yes. Select APY to APR and choose the compounding convention to invert.
Is this financial advice?
No. Rates are mathematical conversions, not product offers.