Compound Interest CalculatorSpecialized Version
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APY Calculator

Calculate APY

$
$
%
years
Final Balance
$144,573
After 20 years
Total Contributions
$58,000
Your money invested
Total Interest Earned
$86,573
60% of final balance

Balance Breakdown

40%
60%
Contributions: $58,000Interest: $86,573

Rule of 72

At 7% annual return, your money will double approximately every 10.3 years.

YearContributionsInterestBalance
0$10,000$0$10,000
2$14,800$1,834$16,634
4$19,600$4,662$24,262
6$24,400$8,633$33,033
8$29,200$13,918$43,118
10$34,000$20,714$54,714
12$38,800$29,246$68,046
14$43,600$39,776$83,376
16$48,400$52,603$101,003
18$53,200$68,070$121,270
20$58,000$86,573$144,573

APY Calculator

Calculate Annual Percentage Yield (APY) to understand your true investment returns with our free calculator. APY shows your actual yearly return including the effect of compound interest, making it the essential metric for comparing savings accounts, CDs, and investment products.

APY vs APR by Compounding Frequency

| APR | Daily Compounding | Monthly | Quarterly | Annual | 3%3.045% APY3.042% APY3.034% APY3.000% APY 4%4.081% APY4.074% APY4.060% APY4.000% APY 5%5.127% APY5.116% APY5.095% APY5.000% APY | 6% | 6.183% APY | 6.168% APY | 6.136% APY | 6.000% APY |

Understanding APY vs APR

  • APR (Annual Percentage Rate): The stated interest rate without accounting for compounding
  • APY (Annual Percentage Yield): The effective annual rate including compounding effects
For savings: Higher APY is better (you earn more) For loans: Look at APR to understand the stated rate, but total cost matters more

APY Calculator Functions

``javascript function calculateAPY(apr, compoundingPeriods) { // APY = (1 + APR/n)^n - 1 const periodicRate = apr / 100 / compoundingPeriods; const apy = Math.pow(1 + periodicRate, compoundingPeriods) - 1; return (apy * 100).toFixed(3); }

function aprFromAPY(apy, compoundingPeriods) { // Reverse calculation: APR = n × ((1 + APY)^(1/n) - 1) const apyDecimal = apy / 100; const apr = compoundingPeriods * (Math.pow(1 + apyDecimal, 1/compoundingPeriods) - 1); return (apr * 100).toFixed(3); }

function compareAccounts(account1APY, account2APY, principal, years) { const balance1 = principal * Math.pow(1 + account1APY/100, years); const balance2 = principal * Math.pow(1 + account2APY/100, years); return { account1Final: balance1.toFixed(2), account2Final: balance2.toFixed(2), difference: (balance1 - balance2).toFixed(2) }; } ``

Why APY Matters for Savings

Always compare accounts using APY, not APR. Banks are required to disclose APY, making it your reliable comparison tool. A difference of 0.5% APY on $50,000 means about $250 more per year in interest—significant enough to consider switching banks for better rates.

Frequently Asked Questions

What is APY?

APY (Annual Percentage Yield) is the real rate of return on your money including the effect of compound interest over one year. Unlike APR (Annual Percentage Rate), APY accounts for how often interest is compounded. The more frequent the compounding, the higher the APY relative to APR.

How is APY calculated?

APY = (1 + r/n)^n - 1, where r is the annual interest rate and n is the number of compounding periods per year. For example, 5% APR with monthly compounding: APY = (1 + 0.05/12)^12 - 1 = 5.116%. Most banks calculate and display APY for you.

Is higher APY always better?

For savings accounts and investments, yes—higher APY means you earn more money. However, also consider account features like minimum balance requirements, withdrawal limits, fees, and FDIC insurance. A slightly lower APY with no fees may be better than a higher APY with monthly maintenance charges.

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