APY vs. APR on CDs: What's the Real Difference?
- 満期時
- $10,450.00
- 利息
- $450.00
預入期間
$10,000.00 for 1 year, compounded daily. Runs in your browser.
Two numbers describing one rate
APR is the rate a bank applies at each compounding period, annualized by simple multiplication — multiply the periodic rate by the number of periods in a year and you get APR. APY is what you actually end the year with, because it accounts for the fact that your interest itself earns interest as the term runs. On any account that compounds more than once a year, APY is the larger of the two numbers, and the gap widens as the compounding frequency or the rate itself increases.
The two figures describe the identical CD. Nothing about the account changes between them — only which part of the compounding effect the number already includes.
| APY | APR (nominal rate) | |
|---|---|---|
| What it measures | Effective yield after compounding | The rate applied each period |
| Includes compounding | Yes | No |
| Which is higher | Always, if compounding beats yearly | Always the lower of the two |
| Formula | APY = (1 + r/n)^n − 1 | APR = n × ((1 + APY)^(1/n) − 1) |
| Required disclosure | Yes, under Regulation DD | No |
| Worked pair | 4.50% APY | 4.40% nominal, compounded daily |
| Use it to | Compare offers across banks | Feed a calculator expecting a nominal rate |
The conversion, worked both directions
Start from a nominal rate. Suppose a CD's disclosure states 4.40% compounded daily (n = 365). Converting to APY uses APY = (1 + r/n)^n − 1: (1 + 0.044/365)^365 − 1 ≈ 0.04498, or about 4.50% APY. Now go the other way from a quoted APY. Suppose instead the disclosure leads with 4.50% APY, compounded daily. The reverse formula is APR = n × ((1 + APY)^(1/n) − 1): 365 × ((1.045)^(1/365) − 1) ≈ 0.04402, or about 4.40% APR. The two rates, 4.40% APR and 4.50% APY on daily compounding, are the same CD described from opposite ends.
On a $10,000 deposit for a 12-month term, only the APY figure predicts your ending balance directly: 10,000 × 1.045 = $10,450, a $450 gain, regardless of how many times a year the bank actually compounds internally. That is the practical payoff of APY — you can multiply it straight through without touching the compounding math yourself.
Why compounding frequency matters less than people think
Take that same 4.40% nominal rate and vary only how often it compounds. Annual compounding produces an APY of exactly 4.40% — with just one period a year there is nothing to compound. Monthly compounding lifts it to about 4.49% APY. Daily compounding lifts it further, but only to about 4.50% APY. Most of the benefit of frequent compounding shows up by the time you reach monthly; the extra push from monthly to daily is well under a tenth of a percentage point.
That is worth knowing before you shop specifically for 'daily compounding' as a feature. A CD paying a slightly higher nominal rate with monthly compounding will often beat a lower-rate CD that compounds daily — comparing the APY figures directly settles the question without needing to reason about compounding frequency at all.
Why Regulation DD makes APY the default
Regulation DD requires US banks to disclose the annual percentage yield on deposit accounts precisely so that savers have one consistent basis for comparison across institutions that might compound daily, monthly or quarterly. That is why nearly every rate sheet and every calculator on this site leads with APY rather than a nominal rate — it is the number regulators designed for shopping, not the one that describes what happens inside the bank's ledger.
What happens to your money at the two numbers
If your CD compounds internally, the APY is the number to multiply your principal by for a one-year term — no adjustment needed. If your CD instead pays interest out to you periodically rather than compounding it back in, your realized annual return is closer to the APR, because you are no longer earning interest on interest already paid out. Whether a CD compounds or pays out is a separate feature from the rate itself, and it is worth confirming which one your account does before assuming the APY is what you will actually receive.
Where the mix-up costs people money
The recurring error is comparing an APY at one bank against a nominal, un-compounded rate at another and concluding the second offer is competitive. At a 5% rate the gap between APR and APY compounded daily is roughly 0.13 percentage points — trivial-looking, but on $100,000 held for five years that gap alone is worth well over $600, without either bank changing what it actually pays.
- If a rate is labeled APY, it already reflects compounding — do not add anything to it.
- If it is labeled 'interest rate' or 'rate' with no APY qualifier, treat it as nominal and convert before adding it to a shortlist.
- If a CD pays interest out rather than compounding it internally, your realized return tracks the APR, not the APY.
When APR is the number that actually matters
APR still matters directly in a few situations: when you need the periodic interest payment itself, since some CDs pay monthly income rather than compounding; when you are comparing a CD against a bond or Treasury bill quoted on a nominal-yield basis; or when you are computing an early withdrawal penalty, which is defined in months of interest calculated at the CD's underlying rate rather than at its compounded APY.
A quick gut check before you compare two CDs
Before comparing any two CD offers, confirm both figures are APY, confirm both cover the same term, and confirm both assume the same treatment of interest — compounded in or paid out. Any one of those three left unmatched can make a worse CD look like the better one on paper.
よくある質問
APY is bigger whenever interest compounds more than once a year, because it captures the effect of interest earning interest within the year, while APR is only the nominal rate annualized by simple multiplication. The two figures are equal only under annual compounding, where there is a single period a year and nothing left to compound before the year ends; introduce any more frequent schedule and APY pulls ahead of APR by a small but real margin. A CD disclosing a 4.40% nominal rate compounded daily converts to an APY of about 4.50% — apply that APY to a $10,000 deposit for 12 months and it matures at $10,450.00, a $450.00 gain, while the bank's own APR figure of 4.40% describes the same account from the other side of the same formula. The gap widens further as either the rate itself or the compounding frequency increases, though it rarely grows large enough on typical CD rates to flip which of two offers is the better one.
出典
上記のルールや上限は、二次的な要約ではなく、それを定めている機関の資料から直接引用しています。