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Daily compound scenario · Verified 2026-06-15

$50,000 at 5% APY daily compound for 5 years

Grows to $64,200. You earn $14,200 in interest at an effective APY of 5.127%.

Final balance
$64,200
Interest earned
$14,200
Effective APY
5.127%
Quick context

Substantial HYSA balance.

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 = $50,000          (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 = $50,000 × (1 + 0.000137)^1825
              = $64,200

Interest earned = $64,200 − $50,000 = $14,200
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$2,563$52,563
2$2,695$55,258
3$2,833$58,091
4$2,978$61,069
5$3,131$64,200

Related daily-compound scenarios

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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.