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Do stocks make 2-standard-deviation moves more often than far out-of-the-money options price in?

Wing pricing — SHAPE × VOL (M-007). Short answer: the hub rates it FIT FOR LIMITED USE.

Data as of .

The verdict

FIT FOR LIMITED USE as a pricing diagnostic. The pooled fat-tail claim is measured to this platform's bootstrap standard and survives the both-wings test; nothing here is a claim that buying wings makes money, and no per-name CI exists.

Development summary: Both wings are fat at 2sd and statistically indistinguishable, so the excess is a distributional property and not 2023-26 drift. Read wing_edge as a pricing diagnostic — dear or cheap versus the tape — never as an expected return or a size.

What the review allows

  • Reading whether a name's 2sd wing is dear or cheap versus its own tape, alongside the verdict word.
  • The structure nudge in Options Picks (M-005): outright vs spread at wing_edge 1.3 / 0.8.
  • The pooled SHAPE table as evidence that far-OTM wings on this panel were underpriced on 2023-26 data.

What the review rules out

  • Sizing, entering or exiting a trade off wing_edge — it is not an expected return.
  • Ranking a single name on its own wing_edge as if it carried a confidence interval; only the pooled figures are bootstrapped.
  • Reading the 1.5sd row as a tail statement — the down wing's CI includes 1, and that gap is drift.
  • Applying it to deal-pinned names or to drift_driven names, which the engine excludes for a reason.
  • Treating a European option as paid off by a TOUCH — the barrier statistic is American-style.

What it predicts

ItemDetail
Question it answersEvery other options number describes at-the-money vol. None prices the trade actually put on — a far-OTM option. Does this name reach 2 standard deviations more often than the wing is priced for?
MethodEmpirical touch odds × vol
How it worksEmpirical P(touch a 2sd barrier within the option's life) ÷ driftless-lognormal P(same), with sd measured at the vol prevailing then (SHAPE), × median realised vol over the life ÷ iv30 (VOL)
Inputs2sd barrier touch rate (3y), Lognormal touch odds at iv30, Realised vol ÷ iv30 (VOL), Days to near expiry, Open interest & ATM spread
Outputwing_edge per name + one-word verdict — a pricing diagnostic, never a size
Horizonthe near expiry's remaining life (~18-33 sessions on the current panel)
CoverageUS names carrying a live iv30 with ≥120 forward windows (126 rows on the 2026-08-31 run)
MarketsUS
Model typeModel · ML/Stat
StageProduction
Versionv1, first recorded 13 Aug 2026

Validation evidence

Training data: 2023-08→2026-08. Test data: not stated. Out-of-sample design: none.

Headline results from the model's development record, as the hub publishes them.
MeasureResultCompared withNote
SHAPE at 2.0sd, up wing2.07 [1.75, 2.46]1.00 = lognormal100,035 observations on 742 dates; moving-block bootstrap, 21-day blocks, clustered by date
SHAPE at 2.0sd, down wing1.91 [1.44, 2.46]up wing 2.07the two wings overlap heavily and both exclude 1 — drift fattens only the upside, vol-clustering fattens both
SHAPE at 1.5sd, down wing0.97 (CI includes 1)up wing 1.45, CI excludes 1the honest reason the 1.5sd row is not read as a tail statement — that gap is drift
Re-run 18 sessions later (2026-08-31)2.05 [1.73, 2.39]2.07 [1.75, 2.46] on 2026-08-13the pooled bootstrap re-computes nightly; the headline is unchanged within noise
Net wing at 2sd (SHAPE × VOL)≈1.71.00 = fairly priced2.07 × 0.84 — on this sample the fat tail more than paid for the variance risk premium
The hub's standard metrics for this model class (only those the record measured).
MetricSample / windowCompared withValueRange (CI)
Observations2023-08→2026-08 · 742 datesn/a100,035n/a

Forward record: 4 of 23 published lists have reached their 21-session horizon. Average pick return minus SPY's over the same dates: -2.26 percentage points (standard error 1.25). 37% of the matured picks beat SPY over the horizon. Mean rank IC of the matured lists: -0.041.

What the validation review found

Is the design sound? Sound and unusually well-posed. The null (driftless GBM, reflection principle) is the model the wing is actually priced off, and normalising each observation by the vol that prevailed then is the correct answer to the regime confound — a naive empirical/implied ratio reports 'vol was higher in 2023', which is exactly the error that had ranked one name at 13×. The decomposition into SHAPE and VOL keeps the two forces readable separately rather than netting them into one opaque number.

Data quality. One panel, no joins, so few failure modes. Survivorship is total (today's listings only). Overlapping windows are acknowledged and handled in the CIs. A 300-bar minimum and MIN_OBS 120 keep thin names out. iv30 is a model IV on the underlying, not a chain-derived surface, and is applied at a dte it was not computed for.

Backtest. None. The measured object is a barrier-touch frequency, not a P&L. Establishing that buying these wings earns money needs historical option chains, which this project only began banking in 2026-08.

Against simple benchmarks. The lognormal itself is the benchmark, which is the right one for a pricing question. No alternative tail model (Student-t, jump-diffusion, empirical bootstrap of the whole path) was fitted for comparison.

Independent replication. The pooled bootstrap re-runs every night, which is a continuous replication. The 2026-08-31 run reproduces the 2026-08-13 headline within noise (up wing 2.05 [1.73, 2.39] vs 2.07 [1.75, 2.46]; down 1.94 vs 1.91).

Sensitivity. Three barriers are shipped and they behave as theory predicts (SHAPE rises with z). The 1.5sd result is the sensitivity check that fails, and the engine reports the failure rather than burying it. No sensitivity to LOOKBACK, MIN_OBS or the 20-day σ_then window has been run.

Monitoring. Pooled CIs and the VOL median print on every run; the verdict mix is visible in the output file. There is no stored history of the pooled figures, so drift over months has to be read from the log rather than from a series.

Limitations

Questions

Is the Wing pricing — SHAPE × VOL validated?
Its validation review dated 13 Aug 2026 rated it FIT FOR LIMITED USE as a pricing diagnostic. The pooled fat-tail claim is measured to this platform's bootstrap standard and survives the both-wings test; nothing here is a claim that buying wings makes money, and no per-name CI exists.
What does the Wing pricing — SHAPE × VOL predict?
It answers: Every other options number describes at-the-money vol. None prices the trade actually put on — a far-OTM option. Does this name reach 2 standard deviations more often than the wing is priced for? Output: wing_edge per name + one-word verdict — a pricing diagnostic, never a size. Horizon: the near expiry's remaining life (~18-33 sessions on the current panel). Coverage: US names carrying a live iv30 with ≥120 forward windows (126 rows on the 2026-08-31 run).
How was the Wing pricing — SHAPE × VOL tested?
Training data 2023-08→2026-08, test data not stated, out-of-sample design: none. SHAPE 2.0sd, up wing (pooled): 2.07 [1.75, 2.46]; SHAPE 2.0sd, down wing (pooled): 1.91 [1.44, 2.46]; VOL factor, median: 0.84. Forward record: 4 of 23 published lists have reached their 21-session horizon. Average pick return minus SPY's over the same dates: -2.26 percentage points (standard error 1.25). 37% of the matured picks beat SPY over the horizon. Mean rank IC of the matured lists: -0.041.

Source: the Model Hub's public model register, as of 6 Nov 2026. The M-007 page in the live Model Hub carries the full development and validation record, monitoring and open decisions. All 30 models and their verdicts.

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