APR vs APY: Understanding the Difference Between Interest Rates
Guide · Updated
APR (Annual Percentage Rate) is the yearly interest cost without accounting for compounding, while APY (Annual Percentage Yield) includes the effect of compound interest—making APY always equal to or higher than APR. For example, a 12% APR compounded monthly yields 12.68% APY. Understanding both is essential because APR applies to borrowing (loans, credit cards) while APY describes earnings (savings accounts, CDs, money market accounts).
APR vs APY: The Core Difference
APR (Annual Percentage Rate) and APY (Annual Percentage Yield) are often confused, but they measure different things. APR represents the simple yearly cost of borrowing without accounting for how often interest is calculated and added to your balance. APY, by contrast, reflects the actual yearly earnings or cost when compound interest is factored in—interest earned (or charged) on interest already earned (or charged).
The Federal Reserve requires lenders and financial institutions to disclose APR to ensure consumers can compare credit products fairly. However, when you actually earn or pay interest, compound interest comes into play, which is why APY is the more accurate reflection of what you'll really earn or owe. This is why savings accounts advertise APY (to show the true earning rate) while credit cards and loans often emphasize APR (which appears lower).
How APR and APY Are Calculated
APR is straightforward: it is simply the periodic interest rate multiplied by the number of periods in a year. If you have a monthly interest rate of 1%, your APR is 1% × 12 = 12% (before compounding). APR is useful for comparing the stated cost of loans because it ignores the compounding effect.
APY uses the compound interest formula: APY = (1 + periodic rate)^n − 1, where n is the number of compounding periods per year. For example, with a 12% APR compounded monthly, the monthly rate is 12% ÷ 12 = 1%. The APY is then (1.01)^12 − 1 = 0.1268 or 12.68%. The more frequently interest compounds (daily compounding produces a higher APY than monthly, which produces a higher APY than quarterly), the larger the difference between APR and APY becomes.
| Compounding Frequency | Formula Input | APY Result |
|---|---|---|
| Annual (yearly) | (1 + 0.12/1)^1 − 1 | 12.00% |
| Semi-annual | (1 + 0.12/2)^2 − 1 | 12.36% |
| Quarterly | (1 + 0.12/4)^4 − 1 | 12.55% |
| Monthly | (1 + 0.12/12)^12 − 1 | 12.68% |
| Daily | (1 + 0.12/365)^365 − 1 | 12.75% |
Worked Example: Real Numbers in Practice
Let's say you deposit $5,000 into a savings account with a 12% APR compounded monthly. After one year, how much interest will you earn? Using the APY (12.68%), you calculate: Interest = $5,000 × 0.1268 = $634. Alternatively, you can compound month by month: Month 1: $5,000 × 1.01 = $5,050; Month 2: $5,050 × 1.01 = $5,100.50, and so on through Month 12, which gives you $5,634—earning $634 in interest. This is why your bank shows you the APY: it tells you exactly what you'll earn in a year with no further calculation needed.
Now compare that to a credit card with 12% APR charged monthly. On a $5,000 balance, the monthly interest charge is $5,000 × 1% = $50 the first month. But if you don't pay, the next month's interest accrues on the new balance: $5,050 × 1% = $50.50. After one year of compound interest accruing, you owe $5,634 in principal plus interest—the same total, but because you're the borrower, the 12.68% APY works against you. Credit card companies disclose the APR (which appears lower) but the APY is what actually compounds if you carry a balance.
Where Each Is Used
APR is the standard disclosure for loans and credit products: mortgages, auto loans, personal loans, credit cards, and payday loans. The Truth in Lending Act (TILA) requires lenders to disclose APR so borrowers can easily compare offers. APR does not include fees (which are sometimes disclosed separately as a 'finance charge'), so always read the fine print. When you see 'APR' on a loan, understand that the actual cost of borrowing will be higher if interest compounds more than once per year.
APY is standard for deposit and savings products: savings accounts, money market accounts, certificates of deposit (CDs), and investment accounts. Banks advertise APY because it shows customers the true annual earning rate. When shopping for a savings account, APY is the number to compare—it already accounts for how often the bank compounds interest. Use our Compound Interest Calculator to see how different APY rates and compounding frequencies affect your savings over time. For long-term savings planning, the Savings Goal Calculator helps you work backward from your target and factor in realistic APY.
Common Misconception: Thinking APR and APY Are the Same
One of the most costly mistakes is assuming APR and APY are interchangeable or that the difference is negligible. The reality: over time and with larger balances, even a small difference between APR and APY compounds into significant money. A 0.68 percentage-point difference (12% APR vs 12.68% APY) seems tiny, but on a $100,000 balance, that's $680 per year of extra earnings (if saving) or extra cost (if borrowing). Over 10 years, that difference grows exponentially.
Another myth is that APY only matters for long-term savings. In reality, even a 1-year CD should be compared by APY, not APR, because the interest compounds within that single year. Similarly, some borrowers mistakenly think they can ignore APY on credit cards if they pay monthly. However, if you ever carry a balance—intentionally or by accident—the compounding effect kicks in immediately. Always ask: 'Is this product offering an APR or APY, and which one tells me the true cost or benefit?'
Frequently asked questions
Why is APY always higher than APR?
APY accounts for compound interest—interest earned on interest. APR does not. When interest is added to your balance and future interest accrues on that larger amount, the effect compounds, creating a higher effective annual rate. Only if interest is compounded once per year (no compounding within the year) will APY equal APR.
Can APY ever be lower than APR?
No. By definition, APY is equal to or greater than APR. If there is no compounding (e.g., simple interest paid once per year), they are equal. If compounding occurs more than once per year, APY is higher.
Which number should I use to compare savings accounts?
Always compare by APY. This is the true annual rate you'll earn. Two accounts with different compounding frequencies (one monthly, one daily) may have the same APR but different APY rates. APY makes the comparison apples-to-apples.
Do credit card companies have to disclose APY?
No, credit cards disclose APR by law. However, if you want to know the true annual cost of carrying a balance (including the compounding effect), you would calculate or request the APY. Most credit card companies do not advertise APY because it looks even worse than APR to borrowers.
How often does interest compound?
It varies by product. Savings accounts may compound daily, monthly, quarterly, or annually. CDs typically compound daily or monthly. Credit card interest usually compounds daily (the balance grows every day). Always check your account agreement or contact your institution to confirm the compounding frequency.
If I pay my credit card balance in full each month, does APY matter?
No. If you pay in full and incur no interest charges, APY is irrelevant to you. APR and APY only matter if interest actually accrues. However, if you ever carry a balance, APY (the compounding effect) is what you'll pay.
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