$50,000 at 5% APY daily compound for 5 years
Grows to $63,814. You earn $13,814 in interest at an effective APY of 5%.
Illustrative five-year HYSA scenario at a stated 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 = $50,000 (principal)
APY = 0.0500 (effective annual yield as decimal)
n = 365 (compounding periods per year — daily)
t = 5 (years)
Equivalent daily rate d = (1 + APY)^(1/365) − 1 = 0.00013368
Final balance = $50,000 × (1 + 0.00013368)^1825
= $63,814
Interest earned = $63,814 − $50,000 = $13,814
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 | $2,500 | $52,500 |
| 2 | $2,625 | $55,125 |
| 3 | $2,756 | $57,881 |
| 4 | $2,894 | $60,775 |
| 5 | $3,039 | $63,814 |
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.