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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

YearInterest earnedYear-end balance
1$256$5,256
2$269$5,526
3$283$5,809
4$298$6,107
5$313$6,420

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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 2026-06-15.