π¦ APY Calculator
The yield you actually earn, compounding included.
Annual percentage yield with compounding
Estimates for planning only, not financial advice.
APY, annual percentage yield, is the true yearly return on savings after compounding: what each dollar actually becomes in a year. A 4.5 percent nominal rate compounded monthly is a 4.594 percent APY, because every month's interest joins the balance and starts earning its own interest. On $25,000, that APY earns about $1,148.50 in a year, versus $1,125 at simple annual compounding. Small gap per year, meaningful over a decade.
How to Use This Calculator
Enter the nominal annual rate and how often it compounds, plus a balance to preview actual earnings. The calculator shows the APY, the dollar earnings for one year, and a comparison across compounding frequencies so you can see exactly what frequency is worth.
Enter the nominal rate from the account disclosure and select the compounding frequency. Daily is standard for online savings; monthly is common for money markets.
Enter your balance to translate the percentage into dollars per year. Percentages persuade; dollars decide.
Compare accounts on APY, then check fees, minimums, and teaser terms before moving money. For CDs with early-withdrawal penalties, run the CD calculator too.
The Formula
The formula prices one mechanism: interest earning interest. At higher frequencies, each compounding event adds a smaller amount sooner, and the APY converges toward continuous compounding (e^r - 1), the mathematical ceiling. For 5 percent, that ceiling is 5.127 percent; daily compounding already reaches 5.1266 percent, which is why banks advertising "compounded daily" are selling a rounding error over monthly.
Worked Example: 4.5 Percent Compounded Monthly
Nominal rate: 4.5 percent. Compounding: monthly (n = 12). APY = (1 + 0.045/12)^12 - 1 = 4.594 percent. On $25,000, one year's earnings are $25,000 x 0.04594 = $1,148.50. At annual compounding the same rate earns $1,125.00; the monthly edge is worth $23.50 a year on this balance.
Frequency ladder on 5 percent: annual 5.000%, semiannual 5.063%, quarterly 5.095%, monthly 5.116%, daily 5.127%. The jump from annual to monthly is worth 0.116 points; from monthly to daily, 0.011. Now compare rates instead: 4.50% monthly (4.594% APY) versus 4.75% quarterly. The 4.75% gives APY = (1 + 0.0475/4)^4 - 1 = 4.835%, beating the lower rate regardless of frequency. Rate dominates frequency, always.
APY vs APR vs Interest Rate
| Term | What it is | Where you see it |
|---|---|---|
| Nominal rate | Stated yearly rate before compounding | Account disclosures, fine print |
| APY | Yearly yield with compounding | Savings, CDs, money markets |
| APR | Yearly borrowing cost, fees folded in | Loans, credit cards |
Banks advertise the flattering one in each direction: APY on deposits (higher than the nominal rate), APR on loans (lower than the effective cost with compounding). Knowing which is which keeps the marketing from doing your thinking. When a loan quote shows only a rate, our APR calculator finds the true cost including fees.
Getting the Most From APY
The highest APY is usually at online banks and credit unions, not the branch on the corner: the spread between 0.01 percent and 4.50 percent on $25,000 is over $1,100 a year for filling out one form. Ladder CDs if rates might fall, keep emergency cash in high-yield savings rather than checking, and recheck rates yearly because the best account from 2024 may be mediocre now.
But do not chase APY past the fine print. Teaser rates that reset after 3 months, balance caps that pay the headline rate only on the first $5,000, and monthly fees all erode the advertised yield. Compute the APY on your actual balance net of fees: that is the only yield you will ever receive. For long-run growth of the saved money, our compound interest calculator projects what the balance becomes when the APY compounds for decades.
APY Traps: Tiers, Teasers, and Fees
Headline APYs often apply only to part of your balance. Tiered accounts pay the advertised rate on the first $1,000 or $10,000 and a token rate above; the blended APY on a $50,000 deposit can be half the headline. Teaser rates expire in 3 to 12 months and reset to something ordinary. Always compute the blended APY on your actual balance over your actual holding period, which this calculator's effective-rate math lets you verify.
Fees are the silent APY killer. A $12 monthly fee on a $5,000 balance at 4 percent APY wipes out most of the interest: $200 of yield minus $144 of fees is a 1.1 percent net. Minimum-balance requirements and transaction limits can trigger those fees exactly when you need flexibility. The best account is not the highest APY but the highest APY you will actually earn after tiers, teasers, and fees on money you can leave alone.
Estimates for planning only, not financial advice.
Frequently Asked Questions
What is APY?
Annual percentage yield is the yearly return on savings including compounding: what $1 actually becomes after a year. A 4.5 percent rate compounded monthly is a 4.594 percent APY, because each month's interest starts earning interest. APY is the number that lets you compare accounts honestly.
What is the APY formula?
APY = (1 + r/n)^n - 1, where r is the nominal annual rate and n is compounding periods per year. For 4.5% compounded monthly: (1 + 0.045/12)^12 - 1 = 4.594%. More frequent compounding always raises APY, but the gains shrink fast: daily compounding on 5% gives 5.127%, barely above monthly's 5.116%.
What is the difference between APR and APY?
APR is the yearly cost of borrowing without compounding; APY is the yearly return on savings with compounding. Banks quote APY on deposits (the bigger number looks better) and APR on loans (the smaller number looks better). Same math, opposite marketing. Our <a href="/finance/apr-calculator">APR calculator</a> covers the borrowing side.
Why do two accounts with the same rate have different APYs?
Compounding frequency. A 4.5 percent rate compounded daily beats the same rate compounded quarterly, because interest joins the balance sooner and starts compounding earlier. The difference is small, usually a few hundredths of a point, but on large balances held for years it is real money.
How much does compounding frequency really matter?
Less than the rate itself. Going from annual to monthly compounding on 5% adds about 0.09 points of APY; going from monthly to daily adds about 0.01 more. A 0.25-point higher rate dwarfs any compounding-frequency edge. Shop the rate first, the frequency second.
Is a higher APY always better?
For the yield itself, yes, but check the terms behind it: minimum balances, monthly fees that eat the yield, withdrawal limits, and teaser rates that reset lower after months. A 5.00% APY with a $15 monthly fee on a $10,000 balance nets far less than a no-fee 4.60%. Read the fee schedule, not just the headline.
How is APY different from the interest rate on a CD?
CDs quote both: the nominal rate and the APY. A 1-year CD at 5.00 percent compounded daily shows about 5.13 percent APY. The APY is what you compare across banks; the nominal rate is just an input. Maturities, early-withdrawal penalties, and call features matter as much as the yield. Our <a href="/finance/cd-calculator">CD calculator</a> models the full picture.
Does APY account for taxes and inflation?
No. APY is pre-tax and nominal: taxes on the interest and inflation both reduce the real return. At a 24 percent tax rate, a 4.594 percent APY nets about 3.49 percent after tax, and with 3 percent inflation the real gain is under 0.5 percent. APY compares accounts; after-tax real yield judges whether saving beats inflation at all.
What APY can I get on savings in 2026?
Online high-yield savings accounts have clustered around 4 to 5 percent APY in the recent rate environment, versus near zero at big brick-and-mortar banks. The spread is the easiest money in personal finance: moving $25,000 from 0.01% to 4.50% APY earns over $1,100 more per year for one transfer form. Rates move with the Fed, so recheck yearly.
APY vs ROI: what is the difference?
APY measures the annualized yield of a cash-like account with compounding; ROI measures total return on any investment including price changes, usually without annualizing. A savings account's APY is its ROI for one year. For investments with contributions and withdrawals, our <a href="/finance/roi-calculator">ROI calculator</a> and <a href="/finance/compound-interest">compound interest calculator</a> are the right tools.