Daily Compound Interest: Formula, Examples & How It Adds Up
Daily compounding calculates interest every single day and adds it to your balance. It earns slightly more than monthly or annual compounding — here's the formula and real examples.
The Formula
A = P x (1 + r/365)^(365 x t)
Where A = final amount, P = principal, r = annual rate (decimal), t = years.
Example: $10,000 at 5% daily for 3 years = $11,618.22
Daily vs. Monthly vs. Annual ($10,000 at 5% for 10 years)
| Compounding | Final Amount | Extra vs. Annual |
|---|---|---|
| Annually | $16,288.95 | — |
| Monthly | $16,470.09 | +$181.14 |
| Daily | $16,486.65 | +$197.70 |
Where It Really Matters
For savings, daily vs. monthly compounding makes little difference — under $200 on $10,000 over 10 years.
Credit cards compound daily. On $5,000 at 24% APR, daily compounding adds ~$300 more annually vs. monthly.
Daily Compounding on $1,000
| Rate | 1 Year | 5 Years | 10 Years | 20 Years |
|---|---|---|---|---|
| 3% | $1,030 | $1,162 | $1,350 | $1,822 |
| 5% | $1,051 | $1,284 | $1,649 | $2,718 |
| 7% | $1,073 | $1,419 | $2,014 | $4,055 |
| 10% | $1,105 | $1,649 | $2,718 | $7,387 |
Calculate how your money grows with daily, monthly, or annual compounding.
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