APR to APY Calculator
Convert an annual percentage rate (APR) to the annual percentage yield (APY) it really earns, or back again.
APY (effective annual rate)
5.1162%
- Rate per period
- 0.416667%
Per Regulation DD (Truth in Savings), APY is the yearly return including compounding. APR on loans may also include fees — this tool converts the rate only.
Show the work
APY: the rate compounded for a year
((1 + r ÷ n) to the power of n − 1) × 100
((1 + 0.05 ÷ 12) to the power of 12 − 1) × 100 = 5.1162%
Estimates for general information only — not financial advice.
How it works
APY = (1 + APR ÷ n)^n − 1 for n compounding periods a year (continuous: e^APR − 1); APR = n × ((1 + APY)^(1/n) − 1)
Questions
- How does the APR to APY calculator work?
- APY = (1 + APR ÷ n)^n − 1 for n compounding periods a year (continuous: e^APR − 1); APR = n × ((1 + APY)^(1/n) − 1).
- What do I need to enter?
- Convert, Rate, Compounding. Optional fields can be left blank.
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