Convert APY back to APR for any compounding frequency. Enter the effective annual yield and compounding periods to find the underlying nominal rate.
Many DeFi protocols advertise APY (Annual Percentage Yield) because it looks more impressive than the underlying APR. But if you want to compare across protocols with different compounding frequencies, or you need the base rate for your own compounding strategy, you need to reverse-engineer the APR from the displayed APY.
The conversion is straightforward but not intuitive. A 100% APY with daily compounding corresponds to roughly 69.3% APR — not 100%. The higher the APY and the more frequent the compounding, the larger the gap between APY and APR.
This Crypto APR from APY Calculator lets you input any APY and compounding frequency to instantly reveal the nominal APR. Use it to verify protocol claims, compare rates on a level playing field, or plan your own manual compounding strategy.
Crypto traders, long-term holders, and DeFi participants benefit from transparent crypto apr from apy calculations when planning entries, exits, or portfolio rebalances. Revisit this calculator whenever market conditions shift to keep your strategy grounded in accurate data.
When protocols advertise APY, the underlying APR is what you actually earn per period before compounding. Knowing the APR helps you compare rates across platforms, calculate per-period earnings, and understand what return you'd get without auto-compounding. Real-time recalculation lets you model different market scenarios quickly, so you can act with confidence rather than relying on rough mental estimates.
APR = n × [(1 + APY)^(1/n) − 1], where APY is expressed as a decimal, and n is the number of compounding periods per year.
Result: 69.31% APR
A 100% APY with daily compounding means the underlying APR is only 69.31%. Each day you earn 0.190% (69.31/365), and compounding that daily for a year produces the full 100% APY.
Protocols advertising 1,000% APY sound incredible, but the underlying APR might be 234% with daily compounding. While still high, it's a very different number. Understanding the APR keeps expectations grounded and helps you model realistic short-term returns.
If your protocol doesn't auto-compound, knowing the APR lets you calculate exactly how much you earn between restaking events. For a 69% APR, you earn about 0.19% per day. You can then decide if the gas cost of daily restaking is worth the compounding benefit.
DeFi lending protocols like Aave and Compound display supply APY and borrow APR (or vice versa). Converting between the two lets you compare the true cost of borrowing against the true return of lending across platforms.
APR is the simple rate without compounding. When you compound (reinvest earnings), you earn interest on interest, which pushes the effective annual return (APY) above the nominal rate. The more frequent the compounding, the bigger the gap.
Check the protocol's documentation or smart contract. Auto-compounding vaults often compound daily or per-block. Manual staking compounds whenever you claim and restake. Lending protocols typically accrue per-block.
If you must manually claim and restake, your effective compounding frequency is however often you perform that action. The APR is what you'd earn with zero compounding — your actual APY depends on your restaking frequency.
Absolutely. The APY-to-APR formula is the same in traditional finance. Banks, bonds, and savings accounts all use the same math. The formula is universal for any compounding scenario.
Continuous compounding assumes infinite compounding periods. The APR equals ln(1 + APY). For a 100% APY, continuous compounding APR is ln(2) ≈ 69.31%, which is the theoretical lower bound for the APR.
No. APR and APY are percentage rates and don't change with position size. However, very large positions can affect pool dynamics (like increasing TVL), which may reduce the rewards distributed per token.