Formula & Calculator
APY from APR (Crypto Staking)
Converts a stated annual percentage rate (APR) into the effective annual percentage yield (APY), accounting for compounding frequency.
Interpretation
APY = (1 + APR/n)^n − 1. Converts Annual Percentage Rate to Annual Percentage Yield, accounting for compounding frequency. Used to compare staking returns.
Variables
| Symbol | Quantity | Unit |
|---|---|---|
| APY | Annual percentage yield | |
| APR | Nominal annual percentage rate | |
| n | Compounding periods per year |
What it means
APR (Annual Percentage Rate) is the simple interest rate without compounding, while APY (Annual Percentage Yield) includes the effect of compounding. This formula converts APR to APY based on the compounding frequency n. For staking, if rewards are compounded daily (n=365), APY is higher than APR. This is used to compare staking platforms and to understand the true return on staked assets. Understanding the difference between APR and APY is essential for accurately evaluating yield‑generating opportunities in DeFi and staking.
Worked example
APY from APR – Two Detailed Examples
Real‑World| Parameter | Value |
|---|---|
| APR (%) | 8.0 |
| Compounding Frequency (n/year) | 365 |
| Parameter | Value |
|---|---|
| APR | 12.0 |
| Compounding Frequency | 12 |
Common mistakes
- APR vs APY: APR is the nominal rate; APY includes compounding.
- n: The number of compounding periods per year (e.g., 365 for daily).
- Result: APY is always ≥ APR for n>1.
- Variable rates: This formula assumes a constant APR; real staking rates may change.
Applications
APY from APR (crypto staking) converts a nominal annual percentage rate (APR) to an effective annual percentage yield (APY) by accounting for compounding frequency. This is essential because staking rewards are often compounded daily or hourly, and APY provides a true annualised return. Investors use this formula to compare staking products with different compounding intervals and to understand the real earning potential. It also helps in evaluating the impact of compounding on total returns over time. By using this conversion, investors can make apples‑to‑apples comparisons across various staking and yield‑farming opportunities. Understanding APY is crucial for maximising returns and for selecting the most profitable staking strategies.
- Comparing staking and yield‑farming APYs across protocols
- Evaluating the effect of compounding frequency on returns
- Estimating annual earnings from staking rewards
- Decision‑making between different reward structures
- Financial planning and goal setting
Frequently Asked Questions
APR (Annual Percentage Rate) is the simple annual interest rate before compounding. APY (Annual Percentage Yield) includes the effect of compounding. APY is always higher than APR if compounding occurs more than once a year.
Use the formula: APY = (1 + APR/n)^n - 1, where n is the number of compounding periods per year. For daily, n=365. So APY = (1 + 0.08/365)^365 - 1 ≈ 8.33%.
Some platforms prefer APR because it looks lower and easier to understand, while others want to highlight the higher effective yield from compounding. Always compare using APY for an apples-to-apples comparison.
You can annualize your monthly return, but the APY is an annual figure. To get the actual return for a shorter period, you divide the APY proportionally, but note that compounding effects are less significant over short periods.
Yes, APY assumes that rewards are reinvested at the same rate and frequency. If you withdraw rewards, your actual yield will be lower than the APY.
Yes, APY is a standard metric used in both crypto and traditional finance. It allows you to compare the effective annual return across different products regardless of compounding differences.
APY = (1 + 0.05/4)^4 - 1 = (1.0125)^4 - 1 ≈ 5.094%. So the effective annual return is slightly higher than 5%.
No, it assumes a constant rate. For variable rates, you would need to calculate the effective yield using the average rate over the period, which is more complex.