APR vs APY
APR and APY look like the same thing with different letters. They are not. One ignores compounding, the other includes it. That single difference is why a loan advertised at 12 percent can quietly cost you more than 12 percent, and why a savings account advertised at 12 percent is not really paying you a flat 12 percent either.
APR
APR stands for Annual Percentage Rate. It is the yearly interest rate without accounting for compounding. It is the simple, headline number, and it is what most loans advertise: credit cards, car loans, mortgages, personal loans. It tells you the rate, not what the rate turns into once interest starts stacking during the year.
APY
APY stands for Annual Percentage Yield. It includes compounding, which means interest earning interest over the course of the year. It is the number savings accounts, high-yield accounts, and CDs advertise, because compounding makes the return look bigger. APY is the more honest picture of what actually happens over twelve months.
APR vs APY: side by side
| Dimension | APR | APY |
|---|---|---|
| What it measures | The simple yearly interest rate, before compounding. | The effective yearly rate after compounding is applied. |
| Includes compounding? | No. It ignores how often interest is added. | Yes. It bakes in monthly, daily, or quarterly compounding. |
| Where you usually see it | Loans: credit cards, mortgages, car loans, personal loans. | Savings: high-yield savings accounts, CDs, money market accounts. |
| Which side it flatters | The lender. A smaller-looking number makes borrowing look cheaper. | The bank selling you the account. A bigger-looking number makes saving look better. |
| Which is always higher | Lower, whenever interest compounds more than once a year. | Higher, and the gap grows the more often it compounds. |
Which one, when?
APR: Use APR when you are comparing loans to other loans quoted the same way, and when you want the raw borrowing rate before compounding effects. Just remember it understates what you actually pay if the lender compounds monthly or daily.
APY: Use APY when you want the true, all-in yearly number — for savings and for loans alike. If you convert every offer to APY, you are finally comparing the same measurement instead of two different ones.
Frequently asked questions
Can you show a worked example?
Take $10,000 at 12 percent APR compounded monthly. Monthly rate is 12 percent divided by 12, which is 1 percent. After twelve months of compounding, the balance grows by 1.01 to the twelfth power, which is about 1.1268. That is an effective 12.68 percent APY. On $10,000 that is about $1,268 instead of $1,200 — roughly $68 more than the headline rate suggested. On a loan you pay that extra. In savings you earn it.
Is APY always higher than APR?
Yes, whenever interest compounds more than once a year. If interest compounds exactly once a year, APR and APY are the same number. The more often it compounds — quarterly, monthly, daily — the wider the gap gets.
Why do loans quote APR and savings accounts quote APY?
Marketing. APR is the smaller number, so it makes borrowing look cheaper. APY is the bigger number, so it makes a savings account look more rewarding. Both are technically accurate; they are just two different measurements chosen to flatter the seller.
How do I compare a loan and a savings account fairly?
Convert everything to the same basis, ideally APY. Comparing a loan quoted in APR against a savings account quoted in APY is comparing two different measurements and will make the loan look cheaper than it really is relative to the return you are earning.
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