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Dell Technologies · Sigma Moves

Closed-period price moves, measured against their own history. One engine. Five markets. No forecasts.

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Latest closed period

Dell Technologies's latest move against its own history.

9 April 2025 · Daily
DELL Rare +15.98% +2.56σ About once every 38 trading sessions 33 comparable moves / 1,256 observations

What happened afterwards

All history-qualified moves of at least 2.5σ. Results after the event are descriptive statistics, not trading instructions.

+1 sessions

Median return -1.81%

Completed observations: 33

Middle 50%
-2.46% … +0.89%
Positive returns
30%

+7 sessions

Median return +0.59%

Completed observations: 33

Middle 50%
-2.56% … +3.31%
Positive returns
55%

+30 sessions

Median return +1.20%

Completed observations: 33

Middle 50%
-7.90% … +15.93%
Positive returns
55%

Every rare move, in context

Instrument: DELL (price return)

DateσMoveObserved rarity+1 sessions+7 sessions+30 sessions
9 Apr 2025 +2.56σ +15.98% About once every 38 trading sessions33 comparable moves / 1,256 observations -6.24% -2.14% +32.97%
3 Apr 2025 -7.30σ -18.99% 2 times in 5 years2 comparable moves / 1,256 observations -7.25% +10.31% +47.86%
27 Jan 2025 -3.75σ -8.70% About once every 105 trading sessions12 comparable moves / 1,257 observations -2.46% +0.59% -11.82%
27 Nov 2024 -5.03σ -12.25% 4 times in 5 years4 comparable moves / 1,258 observations +2.58% -0.46% -12.32%
30 Oct 2024 +2.72σ +6.39% About once every 45 trading sessions28 comparable moves / 1,258 observations -4.46% +3.73% -7.90%
31 May 2024 -4.91σ -17.87% About once every 180 trading sessions7 comparable moves / 1,259 observations -5.40% -5.67% -3.80%
15 May 2024 +3.56σ +11.21% About once every 84 trading sessions15 comparable moves / 1,259 observations -1.92% +7.39% -7.54%
1 Mar 2024 +10.36σ +31.62% 1 times in 5 years1 comparable moves / 1,259 observations -2.26% -8.86% -5.44%
22 Feb 2024 +3.43σ +7.86% About once every 79 trading sessions16 comparable moves / 1,258 observations +2.92% +38.72% +51.18%
19 Jan 2024 +3.07σ +6.10% About once every 66 trading sessions19 comparable moves / 1,257 observations -2.46% +1.94% +46.39%
8 Jan 2024 +2.55σ +4.64% About once every 37 trading sessions34 comparable moves / 1,258 observations -2.84% -1.20% +2.56%
1 Dec 2023 -3.68σ -5.19% About once every 97 trading sessions13 comparable moves / 1,257 observations -3.63% -2.70% +7.97%
1 Sep 2023 +12.55σ +21.25% 1 times in 5 years1 comparable moves / 1,257 observations -0.13% +3.31% -0.63%
8 Aug 2023 +3.60σ +5.52% About once every 97 trading sessions13 comparable moves / 1,257 observations -1.75% -4.72% +19.73%
31 May 2023 -2.75σ -5.30% About once every 43 trading sessions29 comparable moves / 1,258 observations +1.45% +6.25% +23.68%
25 May 2023 +2.73σ +4.73% About once every 42 trading sessions30 comparable moves / 1,258 observations +0.89% -2.56% +15.93%
22 Nov 2022 +2.50σ +6.77% About once every 30 trading sessions42 comparable moves / 1,258 observations +1.73% +1.57% -3.26%
7 Oct 2022 -2.90σ -7.68% About once every 41 trading sessions31 comparable moves / 1,258 observations -0.35% -0.12% +21.50%
26 Aug 2022 -7.25σ -13.51% 1 times in 5 years1 comparable moves / 1,232 observations -2.03% -8.33% -16.78%
1 Jul 2022 -2.63σ -7.51% About once every 33 trading sessions36 comparable moves / 1,193 observations +0.94% +0.94% +13.01%

The number has a method behind it

Sigma measures the size of a log return relative to volatility estimated before the period. Rarity is counted from actual historical standardized moves, not inferred from a normal distribution.

σt = ln(Ct / Ct−1) / vtvt ← t−1, t−2, …

Volatility adapts to the market regime with EWMA (λ = 0.94 for daily and weekly observations). Current-period returns are excluded. Each historical σ uses its own prior volatility.

Both directions count toward rarity. Reference history spans up to five years. A period with no prior exceedances is labelled unprecedented in the observed sample; it is never given an invented recurrence interval.

Stock observations use split-adjusted price returns, without dividend reinvestment. Commodities are explicitly labelled ETF price proxies; they do not represent spot commodity prices.

Questions behind the sigma

What does a 3σ move mean?

The period log return is three times the volatility estimated from earlier periods. Sigma is signed: negative for declines and positive for rises.

Why not calculate rarity from a normal distribution?

Market returns have heavy tails and changing volatility. We count actual past absolute sigma exceedances for the same instrument and period.

Does “once every 200 days” predict the next event?

No. It is the number of historical observed periods divided by comparable moves. Events can cluster and the market regime can change.

How much history is required?

At least three years of valid standardized observations, after a one-year volatility warm-up. This normally requires approximately four years of source history.

Are all instruments directly comparable?

The engine is shared, but each instrument has its own prices, calendar, volatility and reference sample. Commodity cards use explicitly labelled ETF proxies.

What happens on quiet days?

The page shows the largest covered standardized move, the complete rarity scale and recent records. Missing data is reported separately from market calm.

For information only. Historical observations are not investment advice and do not predict future moves. A rare move can be followed by another rare move.