APR on a savings account is the yearly interest rate before compounding
APR stands for annual percentage rate. On a savings account, it tells you what percentage of your balance you'll earn in interest over one year, calculated as a simple rate without accounting for how often the bank compounds your money. Most banks advertise APY (annual percentage yield) instead, which includes the effect of compounding. APR is the simpler number underneath—the raw yearly rate before the bank adds interest back into your account multiple times per year.
If a bank shows you an APR of 4.50%, that means if you kept $1,000 in the account for a full year with no deposits or withdrawals and the bank never compounded, you'd earn $45. In reality, the bank compounds (adds interest to your balance) daily, weekly, or monthly, so you earn slightly more than the APR suggests. That extra amount is the difference between APR and APY.
You won't often see APR listed on savings accounts anymore. Banks prefer to show APY because it's the higher number and looks better to customers. But understanding how APR works helps you see the foundation of what you're actually earning.
Key Takeaways
- APR is the yearly interest rate before compounding; APY is the rate after compounding is factored in, so APY will always be equal to or higher than APR.
- To calculate APR from APY, you need to know how often the bank compounds interest (daily, monthly, quarterly, or annually).
- The formula to convert APY to APR is: APR = (APY + 1)^(1/n) - 1, where n is the number of compounding periods per year.
- Most savings accounts compound daily, which means the difference between APR and APY is small but real—usually less than 0.05% on accounts under 5% APY.
- You can work backward from APY using a calculator, or ask your bank directly what the APR is if you need the exact number.
Why banks show APY instead of APR
Banks are required to disclose both APR and APY, but they choose which one to feature in their marketing. APY is always equal to or higher than APR (they're the same only if interest compounds once per year). Since customers compare rates across banks, showing the higher APY number makes a bank's offer look more attractive.
From a customer standpoint, APY is actually more useful for savings accounts because it shows what you'll really earn. But if you're trying to understand the raw interest rate the bank is charging you, or if you want to compare accounts on a level playing field, knowing the APR helps you see past the marketing.
The formula to convert APY back to APR
If you have the APY and want to find the APR, use this formula:
APR = (APY + 1)^(1/n) - 1
In this formula, n is the number of times per year the bank compounds interest. For most savings accounts, n = 365 (daily compounding). Some banks compound monthly (n = 12) or quarterly (n = 4).
Example: A savings account advertises 4.50% APY with daily compounding. To find the APR:
- Add 1 to the APY: 4.50% + 1 = 1.045
- Divide 1 by the number of compounding periods: 1 ÷ 365 = 0.00274
- Raise 1.045 to the power of 0.00274: 1.045^0.00274 = 1.00012
- Subtract 1: 1.00012 - 1 = 0.00012, or 0.012%
- The APR is approximately 4.488%
You can do this calculation on any scientific calculator or spreadsheet. Most people don't need to—the difference between APR and APY on a savings account is usually tiny—but the math shows you exactly how much compounding adds to your earnings.
How compounding frequency changes the APR-to-APY gap
The more often a bank compounds, the bigger the gap between APR and APY. Daily compounding creates a larger difference than monthly compounding because your interest earns interest more often.
| Compounding Frequency | n (periods per year) | APR if APY is 4.50% | Difference |
|---|---|---|---|
| Annual | 1 | 4.500% | 0.000% |
| Quarterly | 4 | 4.493% | 0.007% |
| Monthly | 12 | 4.489% | 0.011% |
| Daily | 365 | 4.488% | 0.012% |
On a $10,000 balance at 4.50% APY with daily compounding, the difference between earning at the APR (4.488%) versus the APY is about $1.20 per year. It's real, but small. The gap widens on larger balances and higher rates, but for most savings accounts, you can safely focus on the APY number the bank advertises.
When you actually need to know the APR
Most people don't need to calculate APR on a savings account. You're saving money, not borrowing it, so the APY is what matters to you—that's what you'll actually earn. APR becomes more important when you're comparing the true cost of borrowing, like on a credit card or loan, where the APR tells you the yearly interest rate before fees are added.
You might want to know the APR if you're doing a detailed comparison of how different compounding schedules affect your earnings, or if you're trying to understand the raw interest rate a bank is offering before any compounding magic happens. But your bank's disclosure documents will show both numbers, so you can always look them up instead of calculating.
If you're shopping for a savings account, compare APY across banks—that's the number that determines how much you'll actually have in your account after one year. The APR is the foundation, but APY is the real-world result.
Frequently Asked Questions
Is APR or APY better for a savings account?
APY is better for savings accounts because it shows what you'll actually earn after compounding. APR is the underlying rate, but APY accounts for how often the bank adds interest back into your balance. When comparing savings accounts, always use APY.
Can APR ever be higher than APY?
No. APR and APY are equal only if interest compounds once per year. Any more frequent compounding makes APY higher than APR. The difference is usually small on savings accounts but grows with higher rates and larger balances.
Do I need a calculator to convert APY to APR?
Yes, the formula requires raising a number to a decimal power, which is difficult by hand. Use a scientific calculator, spreadsheet, or online calculator. Most people don't need to do this conversion—your bank's disclosure will show both numbers if you ask.
Why do banks compound interest daily instead of monthly?
Daily compounding benefits the customer because it creates a slightly higher APY. Banks that compound daily can advertise a higher rate, which attracts more deposits. It's a competitive advantage, even though the difference is usually less than 0.02%.
If I withdraw money mid-year, does the APR or APY change?
Neither rate changes, but the amount you earn does. Both APR and APY are annual rates. If you withdraw money partway through the year, you earn interest only on the balance you held, for the time you held it. The rates themselves stay the same.