+1 sessions
Median return +0.34%Completed observations: 18
- Middle 50%
- -0.93% … +3.88%
- Positive returns
- 61%
Palo Alto Networks · Sigma Moves
Closed-period price moves, measured against their own history. One engine. Five markets. No forecasts.
Latest closed period
Palo Alto Networks's latest move against its own history.
PANW Rare
-5.26%
-2.66σ
About once every 39 trading sessions
32 comparable moves / 1,258 observations
What happened afterwards
All history-qualified moves of at least 2.5σ. Results after the event are descriptive statistics, not trading instructions.
+7 sessions
Median return -0.31%Completed observations: 18
- Middle 50%
- -2.87% … +4.06%
- Positive returns
- 50%
+30 sessions
Median return +7.85%Completed observations: 18
- Middle 50%
- -3.57% … +13.45%
- Positive returns
- 72%
Every rare move, in context
Instrument: PANW (price return)
| Date | σ | Move | Observed rarity | +1 sessions | +7 sessions | +30 sessions |
|---|---|---|---|---|---|---|
| 2 Nov 2022 | -2.66σ | -5.26% | About once every 39 trading sessions32 comparable moves / 1,258 observations | -7.47% | +2.19% | -5.68% |
| 23 Aug 2022 | +4.80σ | +12.10% | About once every 205 trading sessions6 comparable moves / 1,229 observations | -0.83% | -4.28% | -7.47% |
| 26 Jul 2022 | -3.50σ | -7.93% | About once every 101 trading sessions12 comparable moves / 1,209 observations | +2.76% | +7.84% | +16.07% |
| 9 May 2022 | -3.15σ | -8.98% | About once every 72 trading sessions16 comparable moves / 1,156 observations | +5.34% | -4.55% | +7.58% |
| 21 Apr 2022 | -2.53σ | -5.46% | About once every 33 trading sessions35 comparable moves / 1,144 observations | -3.45% | -3.39% | -13.42% |
| 24 Feb 2022 | +4.25σ | +13.05% | About once every 184 trading sessions6 comparable moves / 1,105 observations | +5.52% | -1.19% | +14.17% |
| 21 Jan 2022 | -2.74σ | -6.94% | About once every 43 trading sessions25 comparable moves / 1,082 observations | +4.26% | +6.04% | +10.31% |
| 13 Jan 2022 | -2.70σ | -6.28% | About once every 41 trading sessions26 comparable moves / 1,077 observations | +0.10% | -4.64% | +19.18% |
| 8 Nov 2021 | +3.04σ | +4.76% | About once every 61 trading sessions17 comparable moves / 1,031 observations | -0.96% | -0.68% | +3.93% |
| 24 Aug 2021 | +10.89σ | +18.60% | 2 times in 4 years2 comparable moves / 978 observations | +1.17% | +4.68% | +10.02% |
| 6 Aug 2021 | -3.54σ | -4.28% | About once every 107 trading sessions9 comparable moves / 966 observations | +0.55% | -5.33% | +22.78% |
| 6 Jul 2021 | +3.72σ | +5.12% | About once every 135 trading sessions7 comparable moves / 943 observations | -1.25% | -1.04% | -6.67% |
| 21 May 2021 | +3.19σ | +5.80% | About once every 83 trading sessions11 comparable moves / 913 observations | +0.57% | -1.32% | +8.13% |
| 18 Mar 2021 | -2.78σ | -5.75% | About once every 48 trading sessions18 comparable moves / 868 observations | -0.22% | +0.84% | +11.29% |
| 2 Feb 2021 | +2.75σ | +7.20% | About once every 47 trading sessions18 comparable moves / 837 observations | -2.52% | +0.97% | -13.02% |
| 27 Jan 2021 | -2.90σ | -5.39% | About once every 49 trading sessions17 comparable moves / 833 observations | +5.36% | +13.33% | +2.74% |
| 18 Dec 2020 | +3.23σ | +7.28% | About once every 81 trading sessions10 comparable moves / 808 observations | +0.14% | +0.07% | +6.20% |
| 16 Nov 2020 | +3.27σ | +7.65% | About once every 87 trading sessions9 comparable moves / 785 observations | +5.46% | +6.75% | +27.75% |
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.