Daily compound scenario · Verified 2026-06-15
$5,000 at 5% APY daily compound for 5 years
Grows to $6,420. You earn $1,420 in interest at an effective APY of 5.127%.
Final balance
$6,420
Interest earned
$1,420
Effective APY
5.127%
Quick context
Small HYSA balance, 5-year horizon.
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 = $5,000 (principal)
r = 0.0500 (annual rate as decimal)
n = 365 (compounding periods per year — daily)
t = 5 (years)
Daily rate = r/n = 0.000137 (0.01370% per day)
Final balance = $5,000 × (1 + 0.000137)^1825
= $6,420
Interest earned = $6,420 − $5,000 = $1,420
Effective APY = (1 + 0.000137)^365 − 1 = 5.127%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 | $256 | $5,256 |
| 2 | $269 | $5,526 |
| 3 | $283 | $5,809 |
| 4 | $298 | $6,107 |
| 5 | $313 | $6,420 |
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%)
$10,000 at 5% APY daily compound for 1 year
→ $10,513 (1 year at 5%)
$10,000 at 5% APY daily compound for 10 years
→ $16,487 (10 years 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.