Daily Interest Calculator
Calculate how daily compounding accelerates your money's growth with our free interest calculator. Daily compounding credits interest to your account every day, allowing each day's earnings to generate additional interest the next day—maximizing the power of compound interest.
Daily vs Other Compounding Frequencies
| Compounding | $10,000 at 5% APR (1 year) | Final Balance | Effective APY |
|---|---|---|---|
| Daily (365x) | Interest added each day | $10,512.67 | 5.127% |
| Monthly (12x) | Interest added monthly | $10,511.62 | 5.116% |
| Quarterly (4x) | Interest added quarterly | $10,509.45 | 5.095% |
| Annually (1x) | Interest added yearly | $10,500.00 | 5.000% |
The Math Behind Daily Compounding
Daily compounding uses this formula: A = P(1 + r/n)^(nt)
Where:
- A = Final amount
- P = Principal (starting amount)
- r = Annual interest rate (as decimal)
- n = 365 (compounding periods per year)
- t = Time in years
Daily Compound Interest Calculator
``javascript
function calculateDailyCompound(principal, annualRate, years) {
const dailyRate = annualRate / 100 / 365;
const days = years * 365;
const dailyCompound = principal * Math.pow(1 + dailyRate, days);
const annualCompound = principal * Math.pow(1 + annualRate / 100, years);
const additionalEarnings = dailyCompound - annualCompound;
const effectiveAPY = (Math.pow(1 + annualRate / 100 / 365, 365) - 1) * 100;
return {
finalBalance: dailyCompound.toFixed(2),
totalInterest: (dailyCompound - principal).toFixed(2),
advantageVsAnnual: additionalEarnings.toFixed(2),
effectiveAPY: effectiveAPY.toFixed(3) + '%'
};
}
``
Where to Find Daily Compounding
Most high-yield savings accounts and money market accounts compound daily, as do many CDs. When comparing accounts, look at the APY (Annual Percentage Yield) rather than APR—APY already factors in compounding frequency, making comparisons apples-to-apples.