$100,000 at 4.5% APY daily compound for 10 years
Grows to $155,297. You earn $55,297 in interest at an effective APY of 4.5%.
Illustrative long-term savings scenario at a stated 4.5% APY.
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 = $100,000 (principal)
APY = 0.0450 (effective annual yield as decimal)
n = 365 (compounding periods per year — daily)
t = 10 (years)
Equivalent daily rate d = (1 + APY)^(1/365) − 1 = 0.00012060
Final balance = $100,000 × (1 + 0.00012060)^3650
= $155,297
Interest earned = $155,297 − $100,000 = $55,297
Effective APY = (1 + 0.00012060)^365 − 1 = 4.5%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 | $4,500 | $104,500 |
| 2 | $4,703 | $109,203 |
| 3 | $4,914 | $114,117 |
| 4 | $5,135 | $119,252 |
| 5 | $5,366 | $124,618 |
| 6 | $5,608 | $130,226 |
| 7 | $5,860 | $136,086 |
| 8 | $6,124 | $142,210 |
| 9 | $6,399 | $148,610 |
| 10 | $6,687 | $155,297 |
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.