APY Calculator
Find your true Annual Percentage Yield (APY) once compounding is factored in. Compare how daily, monthly, quarterly, and annual compounding change your actual return on savings, CDs, or money market accounts.
Account Details
| Compounding | Resulting APY |
|---|---|
| Annually | - |
| Semi-Annually | - |
| Quarterly | - |
| Monthly | - |
| Daily | - |
APY Formula
Annual Percentage Yield
Where:
r = nominal annual interest rate (as a decimal)
n = number of compounding periods per year
Worked Example
APY = (1 + 0.05/12)^12 − 1
APY = (1.004167)^12 − 1
APY = 1.05116 − 1 = 0.05116 = 5.116%
Continuous Compounding (theoretical limit)
At 5% nominal, continuous compounding gives APY ≈ 5.127% - only slightly above daily compounding, since additional compounding frequency has rapidly diminishing returns.
Common Scenarios
Frequently Asked Questions
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.
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