APR vs. APY: What’s the Real Difference?
It’s one of the most important distinctions in personal finance, yet it’s often misunderstood. Here’s the simple version:
- APR (Annual Percentage Rate) — the simple interest rate without compounding. Think of it as the “headline” rate you see advertised.
- APY (Annual Percentage Yield) — the actual return or cost with compounding. This is the real number that matters to your wallet.
The Key Difference at a Glance
| Feature | APR | APY |
|---|---|---|
| Includes Compounding? | No | Yes |
| Typical Use | Loans, mortgages, credit cards | Savings accounts, investments, CDs |
| What It Shows | The basic, simple rate | The true, compound-adjusted rate |
| Which Is Higher? | Lower | Higher (the more compounding, the bigger the gap) |
How This Calculator Works
We make it easy to convert between APR and APY using standard financial formulas—no math degree required.
Converting APR → APY
APY = (1 + APR ÷ n)^n − 1
Where n = number of compounding periods per year (monthly = 12, daily = 365, etc.)
Converting APY → APR
APR = n × ((1 + APY)^(1/n) − 1)
Where n = number of compounding periods per year
See the Difference: Compounding Frequency Matters
Here’s how a 6% APR looks with different compounding frequencies:
| Compounding Frequency | APR | APY | The Gap |
|---|---|---|---|
| Annually | 6.00% | 6.00% | 0.00% |
| Semi-Annually | 6.00% | 6.09% | +0.09% |
| Quarterly | 6.00% | 6.14% | +0.14% |
| Monthly | 6.00% | 6.17% | +0.17% |
| Weekly | 6.00% | 6.18% | +0.18% |
| Daily | 6.00% | 6.18% | +0.18% |
The takeaway? The more often interest compounds, the bigger the gap between APR and APY—and the more you earn (or pay!).
Who Is This Calculator For?
This APY vs APR converter is perfect for:
- Savvy savers — comparing high-yield savings accounts and CD rates
- Borrowers — understanding the true cost of a loan or credit card
- Investors — evaluating investment returns that compound
- Students and learners — wanting to understand the APR to APY formula without the headache
- Anyone — making a financial decision where compounding matters
Common Questions About APY and APR
What’s the difference between APY and APR in plain English?
APR is the simple, “sticker” rate without compounding. APY is the real rate after compounding kicks in. For savings, APY is what you actually earn. For loans, APY (sometimes called “effective APR”) is what you actually pay.
How do I convert APR to APY?
Use this formula: APY = (1 + APR ÷ n)^n − 1, where n is the number of times interest compounds per year. For example, a 6% APR compounded monthly gives you a 6.17% APY.
How do I convert APY to APR?
Flip the formula: APR = n × ((1 + APY)^(1/n) − 1). This tells you the simple rate behind a given compounded yield.
Why is APY always higher than APR?
Because APY includes the magic of compounding—interest earning interest. The more frequently compounding happens, the bigger the gap between the two rates.