$10,000 at 5% APY daily compound for 30 years
Grows to $43,219. You earn $33,219 in interest at an effective APY of 5%.
Illustrative long-horizon scenario; a savings APY is unlikely to remain constant for 30 years.
How this number was calculated
The input is an effective annual percentage yield (APY). The equivalent daily rate preserves that annual yield over 365 periods:
A = P × (1 + APY)^t
where:
P = $10,000 (principal)
APY = 0.0500 (effective annual yield as decimal)
n = 365 (compounding periods per year — daily)
t = 30 (years)
Equivalent daily rate d = (1 + APY)^(1/365) − 1 = 0.00013368
Final balance = $10,000 × (1 + 0.00013368)^10950
= $43,219
Interest earned = $43,219 − $10,000 = $33,219
Effective APY = (1 + 0.00013368)^365 − 1 = 5%The CFPB defines APY as a rate reflecting both the interest rate and compounding frequency over a 365-day period. This projection holds the stated APY constant and converts it to an equivalent daily rate; actual account day-count and crediting terms can differ. See the CFPB's Regulation DD APY definition. Want to run a different combination? Open the full calculator.
Year-by-year breakdown
| Year | Interest earned | Year-end balance |
|---|---|---|
| 1 | $500 | $10,500 |
| 2 | $525 | $11,025 |
| 3 | $551 | $11,576 |
| … 24 more years … | ||
| 28 | $1,867 | $39,201 |
| 29 | $1,960 | $41,161 |
| 30 | $2,058 | $43,219 |
Related daily-compound scenarios
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 2026-10-12.