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📈 APY Calculator

Annual percentage yield (APY) expresses a deposit account's true annual return by accounting for compounding frequency, not just the stated nominal interest rate. For example, a 4.5% nominal rate compounded daily produces an APY of 4.6025% — a 4.5% rate compounded daily always yields a slightly higher APY than the same rate compounded less frequently.

Последняя проверка: 2026-07-07

Understanding your APY result

The table below shows how the same 4.5% nominal rate produces a different APY depending on compounding frequency, illustrating why the FDIC and Regulation DD require APY disclosure rather than the nominal rate alone.

Compounding frequencyPeriods per yearAPY on a 4.5% nominal rate
Annually14.500% (equals the nominal rate — no intra-year compounding)
Quarterly4Slightly above 4.5%
Monthly12Slightly higher still
Daily3654.6025% — the calculator's default example
  • APY is always greater than or equal to the nominal rate; the two are equal only when compounding occurs exactly once per year.
  • APY assumes the balance and all earned interest remain in the account for the full year without any withdrawals; withdrawing interest before year-end reduces the actual annual return below the disclosed APY.
  • This calculator does not account for account fees, minimum balance requirements to earn the advertised rate, or promotional rates that may apply only for a limited introductory period, all of which can affect the interest actually earned.

What is APY?

Annual percentage yield (APY) is a standardized measure of the total interest earned on a deposit account over one year, taking compounding into account, so that accounts with different compounding frequencies can be compared on equal footing. The Federal Deposit Insurance Corporation (FDIC) and the Truth in Savings Act (implemented through Federal Reserve Regulation DD) require depository institutions to disclose APY, precisely because the nominal interest rate alone does not reflect how often interest is compounded.

Compounding means interest is calculated not only on the original deposit but also on interest already earned; the more frequently interest compounds — daily versus monthly versus annually, for example — the more that already-earned interest itself earns additional interest within the same year, producing a higher effective yield than the nominal rate alone.

APY assumes the deposit and all earned interest remain in the account for a full year without withdrawal; it does not account for account fees, minimum balance requirements, or promotional rates that change during the year, all of which can affect actual earnings realized.

How to use this APY calculator

  1. Enter the nominal (stated) annual interest rate offered on the account.
  2. Select the compounding frequency — daily, monthly, quarterly, or annually.
  3. Enter the deposit amount to estimate first-year earnings.
  4. Read the resulting APY, estimated first-year earnings, and the nominal rate shown for reference alongside the APY.

The formula behind APY

APY = (1 + nominal rate ÷ n)^n − 1, where n = compounding periods per year (365 daily, 12 monthly, 4 quarterly, 1 annually)
Estimated first-year earnings = deposit × APY

APY converts the nominal annual rate into an effective annual rate using the standard compound interest formula, based on how many times per year interest compounds. A higher compounding frequency (more periods per year) always produces an APY equal to or greater than the nominal rate, with the gap growing larger as compounding frequency increases.

On the calculator's default example — a 4.5% nominal rate compounded daily (365 times per year) — the APY is 4.6025%, meaning a $10,000 deposit would earn approximately $460.25 in the first year if left untouched, compared with exactly $450 if the same nominal rate were somehow applied with no compounding at all.

Common mistakes

  • Confusing the nominal interest rate with APY — the nominal rate does not reflect compounding, so comparing accounts by nominal rate alone can be misleading when compounding frequencies differ.
  • Assuming a higher compounding frequency always makes a meaningful practical difference — the gap between nominal rate and APY narrows sharply after monthly compounding, so daily versus monthly compounding on the same nominal rate differs only slightly.
  • Overlooking account fees or minimum balance requirements that reduce actual earnings below what the advertised APY alone would suggest.
  • Assuming a promotional APY applies for the full year, when many accounts offer an elevated introductory rate for a limited period before reverting to a lower standard rate.
  • Withdrawing earned interest during the year and then expecting the full annual APY-implied earnings — APY assumes interest compounds undisturbed for the entire year.

Часто задаваемые вопросы

What is the difference between APY and interest rate?

The interest rate (or nominal rate) is the stated annual rate before accounting for compounding, while APY (annual percentage yield) reflects the actual total return over one year including the effect of compounding. APY is always equal to or greater than the nominal rate, and the two are equal only when interest compounds exactly once per year.

What is the APY on a 4.5% rate compounded daily?

A 4.5% nominal annual rate compounded daily (365 times per year) produces an APY of 4.6025%, meaning a deposit earns slightly more over a year than the nominal rate alone would suggest, because interest is calculated on previously earned interest within the same year.

Why do banks have to disclose APY?

The Truth in Savings Act, implemented through Federal Reserve Regulation DD, requires depository institutions to disclose APY on savings accounts and certificates of deposit so consumers can compare accounts on a standardized basis, since the nominal rate alone does not reveal how compounding frequency affects actual annual earnings.

Does more frequent compounding always mean significantly more interest?

More frequent compounding always produces an APY equal to or higher than less frequent compounding on the same nominal rate, but the practical difference shrinks quickly — the gap between monthly and daily compounding on a typical rate is usually a very small fraction of a percentage point, much smaller than the gap between annual and monthly compounding.

Does APY account for fees or minimum balances?

No. APY as calculated and disclosed reflects only the stated interest rate and compounding frequency; it does not account for monthly maintenance fees, minimum balance requirements to earn the advertised rate, or other account terms that can reduce the interest actually earned in practice.

Источники

  1. Federal Deposit Insurance Corporation (FDIC). Understanding deposit insurance and Truth in Savings disclosures. fdic.gov.
  2. Federal Reserve Board. Regulation DD — Truth in Savings Act implementing regulation. federalreserve.gov.
  3. Consumer Financial Protection Bureau (CFPB). What is the difference between a fixed and variable APY? consumerfinance.gov.

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