Understanding APY vs APR: What Every Investor Should Know
Learn the key differences between APY and APR and how they affect your investments and loans.
What Is APR?
APR (Annual Percentage Rate) represents the simple annual interest rate without accounting for compounding. It is the base rate applied to your principal.
APR Formula: APR = (Interest / Principal) x (365 / Days in Loan Term) x 100
Where You See APR
- Credit card interest rates
- Mortgage rates
- Auto loan rates
- Personal loan rates
- Some crypto lending platforms
What Is APY?
APY (Annual Percentage Yield) accounts for the effect of compound interest. It represents the actual annual return you earn (or pay) when interest is compounded.
APY Formula: APY = (1 + r/n)^n - 1
Where:
- r = nominal annual interest rate (APR)
- n = number of compounding periods per year
Where You See APY
- Savings account yields
- CD (Certificate of Deposit) rates
- Staking rewards in crypto
- DeFi protocol returns
- Investment fund returns
The Key Difference: Compounding
The fundamental difference is that APY includes compound interest while APR does not.
Example: 12% Rate with Different Compounding
| Compounding Frequency | Effective APY | |----------------------|--------------| | Annually (1x) | 12.00% | | Quarterly (4x) | 12.55% | | Monthly (12x) | 12.68% | | Daily (365x) | 12.75% | | Continuously | 12.75% |
Notice how the same 12% APR produces different effective yields depending on how often interest compounds.
Why This Matters for Crypto
In the cryptocurrency world, this distinction is especially important:
Staking Rewards
Most staking platforms advertise APY, which assumes you reinvest (compound) your rewards. If you do not compound, your actual return will be closer to the APR, which is lower.Example: A staking platform offers 10% APY with daily compounding.
- If you compound daily: You earn ~10% over the year
- If you never compound: You earn ~9.53% (the APR equivalent)
DeFi Protocols
Many DeFi protocols advertise extremely high APYs, sometimes in the thousands of percent. These figures assume: 1. Constant reward rates (which usually decrease over time) 2. Continuous compounding of rewards 3. No changes in token price 4. No impermanent lossA 1,000% APY might sound incredible, but it often requires daily harvesting and compounding, gas fees eat into profits, and rates drop quickly as more people join the pool.
Practical Tips
For Borrowers
- Compare loans using APR (lower is better)
- Remember that APR does not include fees in many cases
- Ask about the total cost of the loan including all fees
For Savers and Investors
- Compare savings and investments using APY (higher is better)
- Ensure you are actually compounding to achieve the advertised APY
- Be skeptical of very high APYs in crypto, as they usually are not sustainable
Converting Between APR and APY
APR to APY: APY = (1 + APR/n)^n - 1
APY to APR: APR = n x ((1 + APY)^(1/n) - 1)
Use our Compound Interest Calculator and Staking Calculator to see exactly how compounding frequency affects your returns over different time periods.