Daily compound scenario · Verified 2026-06-15
$10,000 at 4.5% APY daily compound for 5 years
Grows to $12,523. You earn $2,523 in interest at an effective APY of 4.602%.
Final balance
$12,523
Interest earned
$2,523
Effective APY
4.602%
Quick context
Conservative HYSA mid-term.
How this number was calculated
Daily compound interest formula with n = 365 compounding periods per year:
A = P × (1 + r/n)^(n × t)
where:
P = $10,000 (principal)
r = 0.0450 (annual rate as decimal)
n = 365 (compounding periods per year — daily)
t = 5 (years)
Daily rate = r/n = 0.000123 (0.01230% per day)
Final balance = $10,000 × (1 + 0.000123)^1825
= $12,523
Interest earned = $12,523 − $10,000 = $2,523
Effective APY = (1 + 0.000123)^365 − 1 = 4.602%Same closed-form math used by Investor.gov (SEC) and the Federal Reserve. Want to run a different combination? Open the full calculator.
Year-by-year breakdown
| Year | Interest earned | Year-end balance |
|---|---|---|
| 1 | $460 | $10,460 |
| 2 | $481 | $10,942 |
| 3 | $504 | $11,445 |
| 4 | $527 | $11,972 |
| 5 | $551 | $12,523 |
Related daily-compound scenarios
$1,000 at 5% APY daily compound for 1 year
→ $1,051 (1 year at 5%)
$1,000 at 5% APY daily compound for 10 years
→ $1,649 (10 years at 5%)
$5,000 at 5% APY daily compound for 5 years
→ $6,420 (5 years at 5%)
$10,000 at 5% APY daily compound for 1 year
→ $10,513 (1 year at 5%)
Try different inputs
Full daily compound interest calculator
Change principal, APY, or years to model your exact HYSA, CD, or money market scenario. Visual chart and year-by-year breakdown included.
Open the calculator →Educational tool. APY rates fluctuate with Federal Reserve policy and the rate environment; verify the current rate at your bank's product page before relying on this projection. Past rates do not guarantee future rates. Verified 2026-06-15.