TradingCalcAPY and APR Converter
TIME VALUE OF MONEY · COMPOUNDING
Is that rate APY or APR? Convert one into the other with the compounding you choose, to compare pool, staking and savings yields stated differently.
Convert
Compounded
APR is the nominal yearly rate before compounding; APY is what a year really pays once interest earns interest. Daily is 365 periods, monthly 12. Most pools and staking dashboards quote APY; most loans and cards quote APR.
APY: what a year really pays
12.7475%
12% APR compounded daily (365 a year)
APR
12.00%
APY
12.7475%
Compounding adds
0.7475 points
Rate per period
0.032877%
The same APY stated as an APR at each compounding frequency (the more often it compounds, the lower the APR needed):
Annual
12.7475%
Semiannual
12.3652%
Quarterly
12.1798%
Monthly
12.0582%
Weekly
12.0119%
Daily
12.00%
Continuous
11.998%
How to use the APY and APR converter
- Choose the direction: APR to APY, or APY to APR.
- Enter the rate you were given, in percent a year.
- Pick how often it compounds (daily is 365 a year, monthly 12) or continuous.
- Read the converted rate, and the same APY stated as an APR at each frequency to compare quotes.
APY and APR formulas
- APY = (1 + APR / m)^m - 1
- APR = m x ((1 + APY)^(1 / m) - 1)
- Continuous: APY = e^APR - 1, APR = ln(1 + APY)
Worked example: 12% APR compounded monthly
- Rate per period = 12% / 12 = 1%
- 1.01^12 = 1.126825
- APY = 12.6825%
Compounding adds 0.6825 points over a year. Compounded daily the same 12% APR gives 12.7475%.
Where to go next
Grow a balance at the rate with the Future Value Calculator, or measure what an investment really returned with the CAGR Calculator.
Planning a leveraged trade? Check position size, liquidation distance and funding cost before you open it:
Run Pre-Trade Risk CheckUse via API or MCP
The same calculation is available as the MCP tool workflow.run_apy_apr_converter: a script or an AI agent gets the exact number with the formula published, instead of a model doing the arithmetic in its head.
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What is the difference between APY and APR?
APR is the nominal yearly rate before compounding. APY is what a year really pays once each period’s interest earns interest. The same APR gives a higher APY the more often it compounds.
How do I convert APR to APY?
APY = (1 + APR / m)^m - 1, where m is the compounding periods a year. A 12% APR compounded monthly is (1 + 0.12 / 12)^12 - 1 = 12.6825%.
How do I convert APY to APR?
APR = m x ((1 + APY)^(1 / m) - 1). A 10% APY compounded monthly is an APR of 12 x (1.1^(1/12) - 1) = 9.5690%. The answer depends on m, so the frequency is required.
What is continuous compounding?
The limit as periods get infinitely short: APY = e^APR - 1 and APR = ln(1 + APY). A 5% APR compounded continuously is an APY of 5.1271%.
Which one do DeFi pools and staking dashboards show?
Many show APY, but whether it assumes you compound daily, per block or per epoch differs by protocol. Convert both quotes to the same compounding before comparing them.
Does a high APY mean a high real return?
No. APY is only the rate arithmetic. It does not include fees, token price moves, impermanent loss or the risk that the rate changes or the pool fails.