CD APY Calculator

• How to calculate APY on a CD?

  You calculate a CD's APY with APY = (1 + r/n)^n − 1, where r is the nominal annual rate the bank applies each compounding period, and n is how many times per year that happens. The formula converts a rate that compounds during the year into one effective annual figure, because a nominal rate alone does not show how much compounding adds — two CDs with the same nominal rate but different compounding frequencies pay different amounts, and APY makes that difference visible. Divide the nominal rate by n, add 1, raise the result to the power of n, then subtract 1 and multiply by 100 to express it as a percentage. A 4.41% nominal rate compounded daily works out to 4.51% APY, meaning daily compounding alone contributes about 0.10 percentage points beyond the stated nominal rate. This is why Regulation DD requires US banks to disclose APY — it is the only figure that lets you compare two CDs regardless of how often each compounds.

• What is the difference between APY and interest rate on a CD?

  The interest rate on a CD, sometimes labelled the nominal rate or APR, is the figure the bank applies at each compounding period before that compounding effect is factored in; APY is the resulting effective annual yield after it is. The gap exists because compounding means interest earns interest during the term, and the nominal rate alone does not capture that extra growth, while APY is calculated specifically to include it: APY = (1 + r/n)^n − 1. On a CD paying a 4.40% nominal rate compounded daily, the nominal figure alone would suggest $10,440.00 in growth on $10,000 over a year, but the actual maturity value is $10,449.80, and that higher figure is what the 4.4980% APY reflects. APY is always equal to or greater than the nominal rate for any account compounding more than once a year, and it is the number to compare across banks, since one institution's nominal rate and another's APY are not directly comparable.

• Does a higher compounding frequency always mean a higher APY?

  Yes, for a fixed nominal rate, more frequent compounding always produces a higher APY, because APY = (1 + r/n)^n − 1 increases as n increases — daily compounding (n = 365) beats monthly (n = 12), which beats quarterly (n = 4) and annual (n = 1) at the same underlying rate. The mechanism is that more frequent compounding credits interest sooner, so that interest itself starts earning interest sooner too, and those small early gains stack up across the year. In dollar terms the effect is real but modest: a $10,000 deposit at a 4.40% nominal rate compounded daily matures at $10,449.80 over 12 months, compared with $10,440.00 if the same rate compounded only once a year — a $9.80 difference from frequency alone. Because the gain from higher frequency shrinks the more often you already compound, the jump from annual to monthly matters more than monthly to daily, so the headline rate remains the dominant factor.

• 银行标准的公式

  采用与银行在 Regulation DD 下相同的复利和 APY 计算惯例。

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