把宣传的 CD APY 反推回 APR。
利率标示为
1 年
常见存期
复利频率
US$10,000.00 存入 1 年 的存单，利率 4.60% APY，每日复利，到期增长至 US$10,460.00 — 即 US$460.00 利息，平均每月 US$38.33。
存期内余额
| 第 | 本金 | 利息 | 余额 |
|---|---|---|---|
| 开户时 | US$10,000.00 | US$0.00 | US$10,000.00 |
| 2mo | US$10,000.00 | US$75.24 | US$10,075.24 |
| 5mo | US$10,000.00 | US$189.16 | US$10,189.16 |
| 7mo | US$10,000.00 | US$265.82 | US$10,265.82 |
| 10mo | US$10,000.00 | US$381.89 | US$10,381.89 |
| 1y | US$10,000.00 | US$460.00 | US$10,460.00 |
Calculated in your browser using A = P(1 + r/n)nt. Nothing is sent to a server. Figures are before tax; confirm exact terms with your bank.
公式与内容最后审核于 . 银行利率变动频繁——请直接向你的开户机构确认当前利率。
简短回答
A CD's APR is its nominal annual rate before compounding — the rate actually applied at each compounding period — and it converts from APY as APR = n × ((1 + APY)^(1/n) − 1). A 4.60% APY compounded daily corresponds to a 4.50% APR. You need this conversion whenever a bank quotes you a nominal or "interest rate" figure rather than APY, because entering a nominal rate into a calculator expecting APY applies compounding twice and overstates your return. It also matters when comparing a CD against a product quoted in APR, such as a loan you might otherwise pay down. APR is always the lower of the two numbers on any account compounding more than once a year, which is why marketing leads with APY, and why Regulation DD makes APY the required disclosure.
公式与方法
APR = n × ((1 + APY)^(1/n) − 1)
Strips the compounding effect back out of an advertised yield.
Convert the advertised APY to a decimal (4.60% → 0.046).
Add 1 to get the annual growth factor.
Take the n-th root — raise it to the power of 1 ÷ n.
Subtract 1 to get the rate for a single compounding period.
Multiply by n and by 100 for the annualised nominal rate.
使用指南
Type the bank's quoted figure and set the toggle to APY, which is how deposit rates are normally published.
This drives the conversion. Daily compounding creates the largest gap between APY and APR.
The result card shows APY and APR together, so you can see precisely what compounding contributes.
示例
输入项
结果
The bank credits interest at a 4.50% annual rate; daily compounding is what lifts the effective yield to 4.60%.
方法论
APR here means the nominal deposit rate. On loans, APR also includes fees — that is a different calculation entirely.
The conversion assumes interest compounds at the stated frequency and stays in the account.
A 365-day year is used, consistent with Regulation DD.
计算惯例遵循 Regulation DD（12 CFR 1030），该法规规定了美国金融机构如何披露存款账户的 APY。受保机构的存款由 FDIC 提供保障，按每位存款人、每家银行、每种所有权类别计算，最高保额 $250,000。
一手来源
细节
For deposits, APY > APR whenever interest compounds more than once a year. For loans the relationship is reversed in effect, because fees inflate loan APR.
If a bank quotes only an 'interest rate' with no APY label, treat it as the nominal APR and convert before comparing.
The APY–APR gap scales with the rate: about 0.01 points at 1%, roughly 0.13 points at 5%.
If your CD pays interest out monthly rather than compounding it, your realised return matches the APR, not the APY.
彼此之间的关联
适用场景
You want to know the mechanics behind the advertised number rather than take it at face value.
You are building your own projection and need the nominal rate to feed a period-by-period model.
相关工具
APR = n × ((1 + APY)^(1/n) − 1), where APY is the quoted yield as a decimal and n is the number of compounding periods per year. It converts an effective annual yield back into the nominal rate that is actually applied at each compounding period. A 4.60% APY compounded daily corresponds to a 4.50% APR. You need this conversion whenever a bank hands you an APY but a calculator, a spreadsheet or a comparison expects a nominal rate — entering an APY where a nominal rate belongs applies compounding a second time and overstates the result. APR is always the lower of the two figures on any account compounding more than once a year, and the gap widens as the rate and the compounding frequency rise. It is the rate the bank works with internally; APY is the rate it advertises.
Every advertised APY has a nominal APR underneath it. Convert yours and see exactly what compounding is adding.