Account Details

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Effective Annual Percentage Yield
CompoundingResulting APY
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APY Formula

Annual Percentage Yield

APY = (1 + r/n)^n − 1

Where:
r = nominal annual interest rate (as a decimal)
n = number of compounding periods per year

Worked Example

Nominal rate: 5%, compounded monthly (n=12)

APY = (1 + 0.05/12)^12 − 1
APY = (1.004167)^12 − 1
APY = 1.05116 − 1 = 0.05116 = 5.116%

Continuous Compounding (theoretical limit)

APY = e^r − 1

At 5% nominal, continuous compounding gives APY ≈ 5.127% - only slightly above daily compounding, since additional compounding frequency has rapidly diminishing returns.

Common Scenarios

5% nominal, compounded monthly
APY = 5.12%
4.5% nominal, compounded daily
APY = 4.60%
6% nominal, compounded quarterly
APY = 6.14%
3% nominal, compounded annually
APY = 3.00% (no change)

Frequently Asked Questions

APY (Annual Percentage Yield) reflects the actual return you earn on savings or an investment over a year, including the effect of compounding interest. APR (Annual Percentage Rate) is typically used for loans and does not account for compounding within the year - it's a simpler, flat annualized rate. For the same nominal interest rate, APY will always be equal to or higher than APR because it captures interest earning interest.
The more frequently interest compounds - daily versus monthly versus annually - the more often your existing interest starts earning its own interest within the year. A 5% nominal rate compounded daily produces a higher APY than the same 5% rate compounded annually, because daily compounding gives interest more opportunities to compound on itself before the year ends.
Generally yes for savings products, since APY already accounts for compounding and lets you compare accounts on equal footing. However, always check for account restrictions, minimum balance requirements, promotional rate periods that later drop, and any fees that could offset the advertised yield in practice.
While APY is most commonly quoted for savings accounts, CDs, and money market accounts, the same compounding math applies to loans. However, loans are more commonly quoted using APR because lenders are legally required to disclose APR under truth-in-lending regulations, making it the more relevant number for comparing borrowing costs.
For typical savings account rates (1-5%), the difference between annual and daily compounding is usually small - often less than 0.1 percentage points of APY. The effect becomes far more significant at higher interest rates or over many years, which is why it matters more for long-term investment planning than for a single year of everyday savings.

APY Calculator - See the Real Return Behind the Advertised Rate

Banks and financial institutions advertise interest rates in different ways, and it's easy to compare the wrong numbers when shopping for a savings account, CD, or money market account. APY (Annual Percentage Yield) solves this by folding compounding into a single number that reflects the actual return you'll earn over a year - making it the single most reliable figure to compare across different accounts and institutions, regardless of how often each one compounds interest.

Quick reference: APY = (1 + r/n)^n − 1, where r is the nominal annual rate and n is the number of compounding periods per year.

Nominal Rate vs. Effective Rate: The Core Distinction

The nominal interest rate is the stated annual rate before accounting for how often it compounds - this is the number typically printed in bold on a bank's marketing materials. The effective rate, or APY, accounts for the fact that interest earned early in the year starts earning its own interest before the year is over. Two accounts advertising the exact same 5% nominal rate can produce noticeably different actual returns depending on whether that 5% compounds annually, monthly, or daily - which is precisely why regulators require APY disclosure for savings products, so consumers can compare true, apples-to-apples returns.

Why Compounding Frequency Matters (and Where It Stops Mattering)

Every time interest compounds, the new interest gets added to the principal, and the next round of interest is calculated on this slightly larger balance. Compounding more frequently - say, daily instead of annually - means this "interest on interest" effect happens more times throughout the year, nudging the APY progressively higher than the nominal rate. However, this effect has strongly diminishing returns: the jump from annual to monthly compounding is meaningful, but the jump from monthly to daily is much smaller, and the theoretical limit of infinitely frequent compounding (called continuous compounding) is barely higher than daily compounding at all. This is why, in practice, banks that offer daily compounding rarely have a dramatically higher APY than those compounding monthly at the same nominal rate.

A Side-by-Side Look at Compounding Frequency

Take a nominal rate of 5% and see how the resulting APY changes purely based on compounding frequency: compounded annually, the APY stays at exactly 5.00% (since there's only ever one interest calculation, matching the nominal rate exactly). Compounded semi-annually, it rises to about 5.06%. Compounded quarterly, about 5.09%. Compounded monthly, about 5.12%. And compounded daily, about 5.13%. The gap between annual and daily compounding here is just 0.13 percentage points - noticeable over many years and larger balances, but modest for typical everyday savings amounts.

Using APY to Actually Compare Savings Accounts

  • Always compare APY, not the nominal rate, when shopping between accounts - especially if one bank advertises its nominal rate prominently while another leads with APY, since these numbers aren't directly comparable to each other.
  • Watch for promotional or introductory APY rates that apply only for the first few months before reverting to a much lower standard rate.
  • Check for balance tiers - many high-yield accounts only offer their advertised APY on balances up to a certain threshold, with lower rates on additional funds.
  • Factor in any fees that could offset the yield - a monthly maintenance fee can quietly erase the benefit of a slightly higher APY compared to a fee-free account with a marginally lower rate.

APY for Savings vs. APR for Loans

While this calculator focuses on APY for savings and investment products, it's worth understanding the parallel concept on the borrowing side: APR (Annual Percentage Rate), which is the standard figure lenders must disclose for loans and credit cards. Unlike APY, APR typically does not incorporate the effect of compounding within the year, making it a simpler (and sometimes less complete) picture of borrowing cost - which is exactly why comparing a loan's APY-equivalent cost, when available, can sometimes reveal a more accurate total cost than APR alone.

How this calculator works, and where the numbers come from

The APY Calculator applies the standard formula for this calculation to the values you enter and updates the result as you type. The calculation itself happens in your browser, and the page explains the method so you can check any result by hand.

Please note: Projections assume the inputs you enter stay constant; real returns vary. Results are estimates, not financial advice.

Sources and further reading

Learn more

Read our guide: Compound Interest and the Rule of 72, Checked Against the Math

Last reviewed: by the CalcQube Editorial Team. See our editorial policy for how we build and check calculators, or report an error.