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Daily compound scenario · Verified 2026-10-12

$25,000 at 4% APY daily compound for 3 years

Grows to $28,122. You earn $3,122 in interest at an effective APY of 4%.

Final balance
$28,122
Interest earned
$3,122
Effective APY
4%
Quick context

Illustrative three-year CD or savings scenario at a stated 4% 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 = $25,000          (principal)
  APY = 0.0400          (effective annual yield as decimal)
  n = 365                  (compounding periods per year — daily)
  t = 3                   (years)

Equivalent daily rate d = (1 + APY)^(1/365) − 1 = 0.00010746

Final balance = $25,000 × (1 + 0.00010746)^1095
              = $28,122

Interest earned = $28,122 − $25,000 = $3,122
Effective APY = (1 + 0.00010746)^365 − 1 = 4%

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

YearInterest earnedYear-end balance
1$1,000$26,000
2$1,040$27,040
3$1,082$28,122

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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.