APR to APY Converter
The stated annual interest rate (without compounding)
How often interest is compounded and reinvested
APR vs APY
APR (Annual Percentage Rate):
The simple annual interest rate without accounting for compounding.
APY (Annual Percentage Yield):
The effective annual return when compounding is included. APY is always ≥ APR.
Formula
Standard Compounding:
APY = (1 + APR/n)n - 1Where n = number of compounds per year
Continuous Compounding:
APY = eAPR - 1Examples
• 10% APR, yearly compounding → 10.00% APY
• 10% APR, monthly compounding → 10.47% APY
• 10% APR, daily compounding → 10.52% APY
• 10% APR, continuous compounding → 10.52% APY (max)
Crypto Context
• DeFi Protocols: Often quote APY (includes auto-compounding)
• CEX Staking: May quote APR (manual claim & restake)
• Liquidity Mining: APR if you manually compound, APY if auto-compound
• More frequent compounding = higher APY from same APR
About This Calculator
APR to APY Converter is designed to reduce manual errors and give repeatable outputs when you need quick, reliable answers.
Inside blockchain & crypto, this tool gives you a practical way to model scenarios, compare outcomes, and make better next-step decisions without spreadsheet overhead.
If your workflow expands, pair this calculator with Bitcoin Block Reward Calculator and Bitcoin Total Supply Calculator to cross-check assumptions and build a stronger analysis chain.
Formula
Use the calculator inputs to apply the underlying method and return a consistent result instantly.
Example Calculation
The worked example below demonstrates how the input fields translate into the final output. Use it as a quick validation pass before entering your own numbers.
- input value: 10
- comparison value: 4
Explanation of Results
Result Interpretation
The apr to apy converter returned computed result based on input value 10 and comparison value 4. Use this result as a baseline, then adjust one input at a time to understand how sensitive your outcome is before making decisions.
FAQ
How should I validate the apr to apy converter result?
Run a second scenario with rounded numbers, then compare the direction and magnitude of the change before using the value operationally.
What formula is this based on?
This page uses the following formula logic: Use the calculator inputs to apply the underlying method and return a consistent result instantly.
Can I bookmark this blockchain & crypto tool?
Yes. Use the canonical URL /finance-economics/blockchain-crypto/apr-to-apy-converter to return to this calculator in the Finance & Economics library.
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See Also
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