+1 sessions
Median return -0.06%Completed observations: 33
- Middle 50%
- -2.47% … +2.25%
- Positive returns
- 48%
Vistra · Sigma Moves
Closed-period price moves, measured against their own history. One engine. Five markets. No forecasts.
Latest closed period
Vistra's latest move against its own history.
VST Rare
-6.26%
-2.56σ
About once every 43 trading sessions
29 comparable moves / 1,255 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 -0.35%Completed observations: 33
- Middle 50%
- -2.99% … +5.24%
- Positive returns
- 42%
+30 sessions
Median return +2.85%Completed observations: 33
- Middle 50%
- -5.88% … +10.36%
- Positive returns
- 58%
Every rare move, in context
Instrument: VST (price return)
| Date | σ | Move | Observed rarity | +1 sessions | +7 sessions | +30 sessions |
|---|---|---|---|---|---|---|
| 10 Oct 2025 | -2.56σ | -6.26% | About once every 43 trading sessions29 comparable moves / 1,255 observations | +6.45% | -5.25% | -14.36% |
| 23 Sep 2025 | -2.57σ | -6.28% | About once every 43 trading sessions29 comparable moves / 1,255 observations | -1.07% | -0.78% | -9.06% |
| 10 Sep 2025 | +3.52σ | +7.96% | About once every 126 trading sessions10 comparable moves / 1,255 observations | -2.47% | +0.99% | -11.18% |
| 3 Apr 2025 | -3.44σ | -14.92% | About once every 105 trading sessions12 comparable moves / 1,256 observations | -9.37% | +4.14% | +44.74% |
| 27 Jan 2025 | -8.99σ | -28.27% | 2 times in 5 years2 comparable moves / 1,257 observations | +9.16% | +25.19% | -16.57% |
| 2 Jan 2025 | +2.55σ | +8.55% | About once every 41 trading sessions31 comparable moves / 1,258 observations | +8.49% | +13.93% | +13.11% |
| 20 Sep 2024 | +4.01σ | +16.33% | About once every 157 trading sessions8 comparable moves / 1,258 observations | +3.48% | +13.60% | +10.78% |
| 3 Sep 2024 | -3.48σ | -11.34% | About once every 105 trading sessions12 comparable moves / 1,258 observations | +1.24% | +6.25% | +69.38% |
| 31 Jul 2024 | +3.46σ | +14.81% | About once every 105 trading sessions12 comparable moves / 1,258 observations | -4.01% | -0.73% | +1.58% |
| 24 Jul 2024 | -2.63σ | -9.35% | About once every 43 trading sessions29 comparable moves / 1,258 observations | -3.03% | -0.21% | +4.48% |
| 17 Jul 2024 | -4.02σ | -11.26% | About once every 180 trading sessions7 comparable moves / 1,258 observations | +0.46% | -6.67% | +8.27% |
| 8 May 2024 | +2.89σ | +9.13% | About once every 55 trading sessions23 comparable moves / 1,259 observations | +4.45% | +5.47% | -2.62% |
| 1 Feb 2024 | +4.00σ | +5.44% | About once every 180 trading sessions7 comparable moves / 1,258 observations | +2.98% | -1.04% | +42.30% |
| 9 Aug 2023 | +3.91σ | +5.17% | About once every 157 trading sessions8 comparable moves / 1,257 observations | +1.25% | -1.48% | +10.36% |
| 21 Jul 2023 | +2.70σ | +3.62% | About once every 43 trading sessions29 comparable moves / 1,257 observations | -0.21% | -1.66% | +12.09% |
| 9 May 2023 | +2.89σ | +5.22% | About once every 52 trading sessions24 comparable moves / 1,258 observations | +2.52% | -0.65% | +2.85% |
| 6 Mar 2023 | +9.26σ | +13.87% | 1 times in 5 years1 comparable moves / 1,258 observations | +8.74% | +0.12% | -0.29% |
| 4 Oct 2022 | +2.96σ | +6.85% | About once every 52 trading sessions24 comparable moves / 1,256 observations | -0.22% | -5.49% | -1.05% |
| 5 Jul 2022 | -2.97σ | -7.24% | About once every 52 trading sessions23 comparable moves / 1,192 observations | +0.18% | +5.86% | +19.25% |
| 13 Jun 2022 | -3.19σ | -7.63% | About once every 65 trading sessions18 comparable moves / 1,178 observations | -2.30% | -0.38% | +1.40% |
| 9 May 2022 | -4.61σ | -9.35% | About once every 192 trading sessions6 comparable moves / 1,154 observations | +1.28% | +4.56% | -5.88% |
| 6 May 2022 | +2.51σ | +4.76% | About once every 36 trading sessions32 comparable moves / 1,153 observations | -9.35% | -5.15% | -14.46% |
| 20 Apr 2022 | +3.62σ | +5.80% | About once every 127 trading sessions9 comparable moves / 1,141 observations | -1.98% | -4.72% | -1.07% |
| 28 Feb 2022 | +2.57σ | +4.20% | About once every 39 trading sessions28 comparable moves / 1,105 observations | -3.90% | -0.35% | +5.17% |
| 24 Feb 2022 | +3.08σ | +4.18% | About once every 65 trading sessions17 comparable moves / 1,103 observations | +1.01% | +3.14% | +11.25% |
| 5 Nov 2021 | +3.05σ | +6.72% | About once every 57 trading sessions18 comparable moves / 1,028 observations | -3.71% | -0.29% | +2.88% |
| 13 Oct 2021 | +6.31σ | +11.04% | 2 times in 4 years2 comparable moves / 1,011 observations | -1.21% | -3.53% | +4.09% |
| 19 Jul 2021 | -2.53σ | -5.42% | About once every 37 trading sessions26 comparable moves / 950 observations | +2.25% | +9.44% | +5.96% |
| 7 Jul 2021 | +2.77σ | +5.73% | About once every 41 trading sessions23 comparable moves / 942 observations | -3.30% | -2.99% | -7.12% |
| 26 Feb 2021 | -12.87σ | -24.21% | Not previously observed in 3 years0 comparable moves / 852 observations | +0.93% | +8.12% | -0.52% |
| 18 Feb 2021 | +3.07σ | +5.18% | About once every 56 trading sessions15 comparable moves / 846 observations | -1.04% | -24.79% | -23.46% |
| 10 Nov 2020 | +2.91σ | +6.72% | About once every 49 trading sessions16 comparable moves / 779 observations | -2.68% | -8.18% | -8.47% |
| 28 Oct 2020 | -3.29σ | -5.91% | About once every 59 trading sessions13 comparable moves / 770 observations | -0.06% | +5.24% | +8.47% |
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.