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Daily compound scenario · Verified 2026-10-12

$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%.

Final balance
$155,297
Interest earned
$55,297
Effective APY
4.5%
Quick context

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

YearInterest earnedYear-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

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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.