Will WTI oil on Election Day, November 3, 2026 close at $105 or above?
6 seats worked this question alone, then argued it out. Code ran every test and computed the number. How the desk works
Judged by Kalshi KXWTI-26NOV03-T104.99 settlement at 2026-11-03: If the front-month settle price for a barrel of West Texas Intermediate oil on November 03, 2026 is above $104.99, then the market resolves to Yes.
The dispute that matteredA (and initially C/D) anchored the base rate on the unconditional price-LEVEL distribution (95th pct ~$102.75-103.25, max $105.80 over 42-63 days → implied base rate ~0.03-0.04), while B/F (and ultimately the whole committee) argued the correct reference class is a 3-trading-session RETURN-threshold model off the random-walk/diffusion return series (~0.22-0.29). This produced a ~10x spread in base rates from the same underlying price history. Resolved via C's ADF test (p=0.632): the price-level series is non-stationary, so historical price ceilings are not a valid base-rate anchor for a forward distance-to-barrier question; the return-threshold model is the correct reference class. A explicitly conceded this correction. The residual disagreement — whether the single $105.80 touch-and-reject should still apply an incremental discount on top of the return model — was resolved in F's favor (n=1, untested, already embedded in bootstrap tail mass, not additive).
Synthesis
- WTI front-month last price = $101.50 on 2026-10-29.
- 21-day price window: max close $103.70, never closed above that level.
- 42-63 day price window: 95th percentile ~$102.75-103.25, single max observation at $105.80 (one touch, not sustained).
- Daily log-return series (n~515-519): mean ~0.29%/day, sd ~2.6-2.9%/day, autocorrelation ~0.01-0.02 (near-zero).
- Negative skew (-0.71) and excess kurtosis (5.3) in the daily return distribution (per Analyst E's s2).
- ADF test on the price-level series: p=0.632, consistent with non-stationarity (Analyst C).
- CFTC-style managed-money positioning on latest print: 192,000 vs. 191,979 median (~50th percentile) — no crowding.
- 10/29 trading volume ~80% below the 21-day mean.
- Normal-approximation probability of a 3-session cumulative return ≥ +3.44%, scaled correctly for a 3-day (not 5-day) horizon: committee-converged range ~0.22-0.29.
- Monte Carlo/bootstrap 5-day return distributions (B, C, F) — numerically inconsistent across analysts using the same underlying series/tool (median +1.1% to +2.33%, p_loss 36.4%-37.8%), flagged as a data-integrity issue, not independent confirmation.
- Calibration-weighted log-odds pooling across six analysts' post-debate probabilities, yielding a deterministic committee number of 0.24.
- A +3.44% move over the remaining ~3 trading sessions (10/30, 11/2, 11/3) is needed to clear $104.99.
- The price-level distribution is an invalid base-rate anchor for this forward-looking question because the series is non-stationary (level evidence answers a different question than the return-threshold question).
- The lack of positioning/volume dislocation is inconsistent with an actively escalating supply-shock/catalyst regime (contrasted with Abqaiq/Feb-2022 analogs), reducing — but not eliminating — tail-risk probability mass on the upside.
- The single $105.80 touch is statistically indistinguishable from noise (n=1) and should not be double-counted as an independent downward adjustment beyond what the bootstrap/diffusion models already imply.
- P(WTI front-month settles ≥ $104.99 on CME on 2026-11-03) ≈ 0.23, 90% CI [0.15, 0.33].
- Expected 3-session price drift ≈ +0.9-1.0%, i.e., expected settlement price modestly above $101.50 but well short of the $104.99 strike under the base case.
- No options-implied-volatility, skew/risk-reversal, or prediction-market quote exists in the dataset, so there is no way to check whether a market-implied probability already differs from this statistical estimate — this is an unresolved gap for the entire committee.
- Whether the d3/d4 series various analysts used for volatility/positioning are true WTI realized-return/CFTC series versus an implied-vol or unrelated macro series (flagged by D, unresolved) — this could shift true sd/skew inputs materially in either direction.
- Whether the Oct 23 +3.75% spike represents a live, escalating geopolitical/supply catalyst (D's framing) or a faded idiosyncratic jump (E's positioning/volume evidence) — not resolved, only partially adjudicated by E's data.
- Whether the inconsistent bootstrap outputs across B/C/F reflect genuine model/parameterization differences or a shared data-source/seed error — unresolved data-integrity flag.
- Whether convergence of five independent-seeming approaches to the same ~0.22-0.29 band reflects true independent validation or shared data-source confusion (F's explicit caveat).
| Causal Skeptic (F) | 0.22 | Highest router weight (0.94) and best calibration in segment (brier 0.270, n=72). Correctly refused to double-count the n=1 ceiling-touch as independent evidence and transparently corrected its own 5d/3d horizon-mismatch error. Evidence (bootstrap return distribution) is NOT independent of B/C — same underlying series, different numeric outputs (a data-quality flag, not confirmation). |
| Public Markets Analyst (B) | 0.20 | Highest router weight (0.95), strong calibration (brier 0.273, n=41 smaller but consistent). Did the most rigorous explicit variance-scaling (sd_3 vs sd_5) that the rest of the committee adopted. Evidence overlaps heavily with F/A/D (same price/return series) — down-weighted for non-independence, not for quality. |
| Commodities Analyst (A) | 0.16 | Strong domain relevance and router weight (0.92), but initially anchored on a non-stationary price-level distribution later shown invalid by C's ADF test — a methodological error that was self-corrected but still reflects a less reliable starting framework. Evidence largely duplicative of B/F/D. |
| Quantitative Researcher (C) | 0.16 | Good calibration (brier 0.276, n=68, largest sample) and ran the one genuinely new structural test (ADF non-stationarity, p=0.632) that reoriented the whole committee's base rate away from price levels toward return-thresholds — high value-add despite admitting an un-run regression on the local-resistance effect. |
| Historical Analog Analyst (D) | 0.12 | Lower calibration confidence (brier 0.325, smallest n=21), raising reliability concerns. Methodologically sound (correctly used 3-day-scaled diffusion from the start, applied skew adjustment A/B/C initially missed) but evidence is a near-complete duplicate of A/B/F's return series. |
| Positioning Analyst (E) | 0.14 | Lowest self-reported confidence (0.35) and worst segment brier (0.284), but contributes the ONLY genuinely independent evidence in the whole committee — CFTC-style positioning at the 50th percentile and volume ~80% below 21-day mean, which directly tests (and weakens) the live-catalyst/escalating-shock tail scenario every other analyst flagged as their own main objection. Weighted up for independence, down for low self-confidence and small marginal effect size. |
- If WTI front-month settles above $104.99 on CME on 2026-11-03, this NO-leaning (0.23) estimate is falsified on the high side.
- If CFTC-style managed-money positioning prints above its 95th percentile (~260,025) or volume prints at 3x+ the 21-day mean before 11/3, that is leading evidence of an active catalyst materializing and should push the estimate upward (toward or above 0.30) in advance of settlement.
- If WTI settles at or below $104.99 with positioning/volume remaining flat through 11/3, that confirms the calm-diffusion, no-live-catalyst assumption underlying this estimate.
High single-path dependency: nearly all quantitative inputs (price levels, daily returns, bootstrap distributions) derive from one underlying WTI price/return series sampled at different window lengths, so apparent six-way "convergence" is largely one correlated evidence line plus one genuinely independent line (E's positioning/volume). Bootstrap tool outputs disagree materially across analysts using nominally identical methodology (median 5-day return ranging +1.1% to +2.33%), which is an unresolved data-integrity issue that widens the true uncertainty band beyond what any single analyst's stated confidence (0.55 for most, 0.35 for E) suggests. No market-implied (options/prediction-market) probability exists to cross-check the statistical estimate.
The seats
Commodities Analyst23%
3% Empirical probability that WTI front-month trades/settles above $104.99 based on the 42-day observed price distribution (95th pct = $103.25, max = $105.80)
The random-walk return model (d3) alone gives ~29% probability, nearly double my final estimate — if the market is genuinely in an upward breakout regime (e.g., geopolitical supply shock, OPEC+ cut surprise, or election-related crude-buying/hedging flows), the historical 42-day range is a backward-looking anchor that could be broken quickly, and I may be over-anchoring to past price ceilings rather than current momentum (the 10/23 +3.75% single-day jump shows the series can move fast)."
- 42-day price series shows 95th pct = $103.25 and max = $105.80; $104.99 sits above nearly the entire observed range, making it a tail outcome even amid the recent rally.
- d3 (matched to d1 as daily log-returns, autocorr≈0.013) has mean 0.0029/day, sd 0.0261/day; 3-day cumulative move needed is 0.0338, ~0.56 SD above the 3-day expected drift, normal-approx P≈29%.
If WTI front-month (Kalshi KXWTI-26NOV03-T104.99 underlying) settles at or below $104.99 on 2026-11-03, the YES thesis is falsified. If it settles above $104.99, the thesis is confirmed. Re-check against the actual CME WTI settlement on that date.
- d1 is the WTI front-month settle price series and d3 is its matched daily log-return series (confirmed by autocorr≈0 and matching magnitude of known jumps, e.g. 10/23 +3.75%).
- 3 trading days separate 10/29 settle from 11/3 settle (10/30, 11/2, 11/3), treating 10/31-11/1 as a weekend.
- No major scheduled OPEC+ meeting or confirmed supply disruption is priced into the as-of data beyond what's reflected in recent realized volatility.
- d2, d4, d5 are not WTI spot returns (likely related series — e.g. crack spread, implied vol, or a correlated product) and are used only as secondary context, not as the primary return model.
- -0.01 s2: daily return distribution skew=-0.71, kurtosis=5.3 (negative skew means large upside moves of the magnitude needed are somewhat less probable than a symmetric normal approximation implies) (Analyst E)
- -0.01 CFTC-style positioning at ~50th percentile (192,000 vs median 191,979) and 10/29 volume ~80% below 21-day mean — no evidence of an active, in-progress shock/squeeze that would justify fat-tailing the 3-day distribution upward (Analyst E)
- +0.00 Confirmation via independent derivation (B and C both re-ran their 5-day bootstraps scaled to 3 sessions and converged near 22-25%), corroborating my own 3-day return-threshold base rate rather than adding new information (Analyst B)
- +0.00 F's pushback that a single $105.80 touch-and-reject is n=1 and likely already reflected in the bootstrap's own right-tail mass, not independent evidence for a further downward adjustment (Analyst F)
BASE RATE: unconditional 3-day log-return threshold model (mean drift 0.0029/day, sd 0.0261/day, ~iid) gives normal-approx P(3-day return ≥ 3.38%) ≈ 29%. This remains the correct reference class — the committee converged on this after correcting two errors: (1) my own over-reliance on the non-stationary 42-day level distribution (base rate 0.03), which C's ADF test (p=0.632) shows is an invalid stationarity assumption, and (2) B/C/F's initial 5-day bootstrap estimates (30-40%), which overstated dispersion for a 3-trading-day window — B and C both explicitly re-derived their numbers scaling sd by √(3/5)≈0.775 and landed in the same 22-27% neighborhood I'd already reached independently via the 3-day model, so that correction is now committee consensus, not new information for me specifically. What IS new, not already in my prior reasoning: E's positioning and volume evidence. CFTC-style managed-money positioning sitting at essentially the 50th percentile, combined with 10/29 volume running ~80% below the 21-day mean, is evidence AGAINST the market currently behaving as if an active, escalating supply shock is underway (in Abqaiq/Feb-2022-type events, positioning and volume dislocate sharply in the days following the initial jump; here they haven't). This directly bears on my own stated objection — that the 10/23 +3.75% jump could be the start of a breakout regime that would make the backward-looking 3-day sd understate true risk. E's OBSERVED data weakens that objection: the market is not currently pricing or positioning for a live catalyst, so I should not inflate my estimate for that scenario. Combined with E's point on negative skew/kurtosis in the return distribution (which argues the symmetric normal approximation I used slightly overstates the probability of a move this large to the upside specifically), I shade my estimate down modestly from the 0.24-0.27 range to 0.23. I do not accept F's or C's ceiling-rejection evidence as an *additional* independent downward adjustment, per F's own valid self-rebuttal: a single touch-and-reject at $105.80 in a 42-63 day window is n=1 and is plausibly already embedded in the bootstrap's own tail mass rather than being new information requiring a further markdown. That evidence nets to zero. UNCERTAIN: No options-implied-vol, skew/risk-reversal, or prediction-market-quote data exists in the dataset (E flagged this gap explicitly), so I cannot verify whether a market-implied probability already differs materially from this statistical estimate — this remains an open gap for all seven of us, not resolved by any evidence presented. FALSIFICATION: If WTI front-month settles above $104.99 on 2026-11-03 (CME settlement), this estimate is falsified on the high side; if it settles at or below, the NO lean is confirmed. Re-check against official CME settlement data on 2026-11-03/11-04, and separately check whether CFTC positioning or volume moved materially above their 95th percentiles before 11/3, which would be the leading indicator that the "no live catalyst" assumption underlying this estimate had broken.
strong autocorrelation (max lag-1 = 0.83); effective n is smaller, p is optimistic
Public Markets Analyst23%
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Quantitative Researcher28%
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Historical Analog Analyst25%
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Market Positioning Analyst20%
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Causal Skeptic26%
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Claims and evidence
The debate
| Commod | Public | Quanti | Histor | Market | Causal | |
|---|---|---|---|---|---|---|
| Commodities | 0.6 | 0.5 | 0.3 | 0.5 | 0.6 | |
| Public Marke | 0.6 | 0.3 | 0.5 | 0.3 | 0.3 | |
| Quantitative | 0.6 | 0.3 | 0.5 | 0.3 | 0.4 | |
| Historical A | 0.4 | 0.3 | 0.2 | 0.5 | 0.3 | |
| Market Posit | 0.4 | 0.3 | 0.4 | 0.5 | 0.3 | |
| Causal Skept | 0.6 | 0.5 | 0.4 | 0.7 | 0.3 |
WTI front-month is at $101.50 (10/29) and needs to rally ~3.4% to settle above $104.99 on 11/3 (Election Day). This is achievable given realized daily vol of ~2.6%, but it requires a move into territory the recent 42-day price distribution rarely reaches (95th percentile = $103.25, max observed = $105.80). The random-walk return model and the empirical price-level distribution give somewhat different answers; I weight the level distribution more heavily because it reflects the actual ceiling behavior of this specific rally, not just generic volatility.
WTI closed at $101.50 on 10/29/2026, needing a further ~+3.4% move within roughly three remaining trading sessions to clear the $104.99 strike by Election Day settlement. The 21-day price history (d1) never closed above $103.7, and the bootstrap return distribution (s3) puts the median 5-day return at only +1.85% with a 37.8% probability of any loss — the central scenario falls short of the strike. Scaling the empirical daily-return volatility (d2, sd≈2.6%) to the true ~3-session window (not the full 5-day bootstrap) further reduces the odds of a strike-clearing move. A weakly significant negative oil-dollar/rate correlation (s4) adds a modest headwind, though the autocorrelation caveat limits confidence in that signal. No data series shows an abnormal election-driven volatility premium already priced in (d3 stable). Net: the move required is plausible but not the base case.","the probability I assign reflects a lean toward NO with meaningful residual tail risk from event-driven jumps that recent price action (two 2%+ single-day moves in six sessions) shows the market is currently capable of producing.
Base rate for WTI closing above $104.99 is low under the unconditional historical level distribution (~4%), but the relevant question is really a 3-trading-day return threshold from the current price of $101.50, requiring a +3.44% move. The empirical 5-day return bootstrap (s3) implies this has roughly a 33-40% unconditional probability, which I discount slightly (to ~0.33) for the recent failed breakout above $103 and non-stationarity concerns, landing well above the naive level-based base rate but below a coin-flip.
WTI closed at $101.50 on 2026-10-29, needing roughly a +3.4% move over the next 3 trading sessions (Oct 30, Nov 2, Nov 3) to clear $104.99. Treating the recent run-up (99.47→103.3→101.8→99.9→102.8→101.5) as evidence of an active, event-driven spike (a geopolitical/supply shock, not a slow grind) rather than noise, this is a distance-to-barrier problem on a near-random-walk price series, not a mean-reversion problem. A simple diffusion estimate using observed daily-return volatility puts the probability in the high-20s%, which I adjust modestly downward for the series' negative skew (large downside outliers are more common than equivalent upside ones) and the fact that $105.80 has only been touched once in the last 63 trading days — i.e., the market has already rejected this level recently.
The market-implied probability that WTI settles above $104.99 on 2026-11-03 is lower than a naive volatility-only random walk suggests, because the recent 21-day price ceiling (max $103.70) has not been breached, positioning metrics sit near neutral/median (no squeeze setup in either direction), and the empirical return distribution carries negative skew — offsetting the tail-risk premium a pure Election-Day/geopolitical catalyst story might imply.
No series in the provided dataset establishes a causal, out-of-sample-robust driver that would push WTI to settle above $104.99 by Nov 3, 2026. The question reduces to whether a +3.44% five-day move from the last observed price ($101.5) occurs, which is within ordinary noise given the empirical return distribution, with no validated catalyst identified.
- methodological 0.6B anchors the base rate/estimate (0.30) on the 3-session-scaled return distribution and treats the empirical price-level ceiling only as context. I weight the level distribution (95th pct $103.25, max $105.80 over 42 days) as the primary signal because it reflects actual observed ceiling behavior of this specific rally, not generic volatility. This produces a 10x gap in base rates (0.03 vs 0.30) from the same underlying data, driven purely by which distribution is treated as authoritative.
- factual 0.3B reports 21-day price series never closed above $103.70, while my 42-day window has 95th pct=$103.25 and max=$105.80. These are consistent with different window lengths but B's shorter window may be excluding the single tail observation near $105.80 that establishes the ceiling has been tested at all.
- methodological 0.5C explicitly discounts the level-based base rate (0.04) as unreliable due to non-stationarity (ADF p=0.632) and instead anchors on the bootstrap return distribution (~0.33-0.40 before discount). I think non-stationarity in levels doesn't disqualify the level distribution from being informative about recent ceiling/resistance behavior; it's a different question (has this specific regime touched $105 and held) than the return model answers.
- factual 0.3D's 63-day price distribution gives 95th pct=$102.75, max=$105.80, versus my 42-day window's 95th pct=$103.25, max=$105.80. Max matches (likely same single observation), but the 95th percentile differs, plausibly because the longer window dilutes the recent rally. This affects how 'extreme' $104.99 appears.
- methodological 0.5E assigns primary weight to a log-normal random-walk/return-sd model (base rate 0.29) adjusted for skew and positioning, largely setting aside the level-ceiling evidence beyond noting the 21-day max of $103.70. I view the level-ceiling behavior as the dominant signal for a near-term barrier problem like this, not a secondary check.
- methodological 0.6F's base rate (0.35) comes purely from the 5-day bootstrap return distribution with no role for the observed price-level ceiling/ceiling-rejection behavior (e.g., the single touch of ~$105.80 in 42-63 days). This overstates probability by treating the move as generic noise rather than accounting for the fact the series has essentially never sustained levels near $105.
- factual 0.3F cites 'sd=1.96 over the 10-day window' for the needed move context, which is inconsistent in scale with the daily-return sd figures reported elsewhere (mine 0.0261, B's ~2.6%, D's 0.0287, E's 2.87%) — unclear if this is a different unit or a data/labeling error, which undermines confidence in F's stated probability derivation.
- interpretation 0.3D and I use similar diffusion/level-ceiling logic and arrive at similar final probabilities (28% vs my implied ~lower, I lean toward 0.03-0.10 range via level distribution), but D explicitly discounts for negative skew while my normal-approximation return model (29% via d3) does not account for skew at all — I flagged this as my own objection but it's also a direct methodological gap relative to D and E who both apply skew adjustments.
- methodological 0.6A anchors its base rate (0.03) on the unconditional 42-day price-LEVEL distribution (95th pct $103.25, max $105.80) rather than on a return-threshold model. I reject this as the primary base rate: the question is a distance-to-barrier/return problem over a 3-session window, not a question of how often the historical level series has visited a given price. A's own return-model estimate (~29%) is nearly 10x its stated base rate, and A even flags this tension as its own objection without resolving it. Using the level distribution as the anchor understates the probability relative to a properly conditioned 3-day return model (my estimate ~30%, consistent with A's own 29% figure).
- factual 0.3A reports a 42-day window with max=$105.80 and 95th pct=$103.25, while my 21-day window shows max=$103.70 and no close above $103.7. These are materially different summary statistics for what should be overlapping data (the 42-day window contains the 21-day window), suggesting either different underlying series, different as-of cutoffs, or an outlier ($105.80) that sits outside my observed window entirely. This discrepancy matters because A's extreme-tail base rate (0.03) depends on a max value I cannot independently confirm from my own 21-day slice.
- factual 0.3C reports s3 bootstrap stats (expected 5-day return +1.1%, 5th/95th pct -14.2%/+15.5%) that differ substantially from my s3 bootstrap stats (median +1.85%, p_loss 37.8%) and from Analyst F's s3 stats (median +2.33%, p_loss 36.4%). These are nominally the same tool/series but produce inconsistent numeric outputs across analysts, which is a data-integrity flag for the committee rather than a resolved disagreement — someone's bootstrap run (or mine) may be mis-specified or using a different resample seed/window.
- interpretation 0.1C discounts the bootstrap-implied 35-40% down to 0.33 citing 'failed breakout' resistance near $103, landing close to my 0.30 lean-NO estimate via a similar but not identical path. I view this as a reasonable but somewhat arbitrary discount (no explicit quantification of how much the $103 rejection should lower probability) rather than a hard disagreement — flagging as low severity.
- methodological 0.5Like A, D states a base rate (0.03) from the unconditional 63-day price-level distribution (95th pct $102.75, max $105.80), then separately computes a diffusion-based ~28-29% estimate from daily-return volatility, but keeps the level-based figure as the stated 'base rate.' I believe the return-based diffusion estimate is the methodologically correct base rate for a return-threshold question; anchoring on the level distribution mixes two different statistical objects (unconditional price level vs. conditional multi-day return) and biases the anchor low before any adjustment.
- assumption 0.2D treats the recent spike (Oct 23, +3.75%) as a live, event-driven shock that could cluster and recur, implying the i.i.d. diffusion assumption understates tail risk — this is directionally similar to my own objection (jumpiness), but D frames it as a continuing/escalating catalyst narrative while I frame it only as evidence the empirical distribution should not be assumed smooth, without positing a specific ongoing catalyst. This is a difference in how much directional story to attach to the jump evidence, not a factual dispute.
- factual 0.3E reports daily-return sd=2.87% (n=519, with negative skew -0.71, kurtosis 5.3) while my d2 sd is ≈2.6%. Both claim to derive from WTI daily returns; the ~0.3pp gap in volatility estimate (and the skew/kurtosis moments I did not compute) changes the implied probability of a 3-day move meaningfully and should be reconciled rather than treated as consistent.
- interpretation 0.2E treats near-median CFTC positioning (no crowding) and negative return skew as a net offsetting force against event-driven tail-risk upside, concluding 0.29 — very close to my 0.30. I don't dispute the number but do dispute leaning on positioning neutrality as meaningfully informative for a 3-day window; positioning data updates weekly and is stale relative to the question's horizon, so I'd treat that leg of E's argument as weaker evidence than E implies. Low severity since the final numbers converge.
- factual 0.3F's s3 bootstrap reports median +2.33% and p_loss 36.4%, versus my s3 median +1.85% and p_loss 37.8% — same labeled tool, inconsistent output, same issue noted with Analyst C above. This is the same underlying discrepancy appearing a third time across the committee.
- interpretation 0.1F's final base rate (0.35) and mine (0.30) are close and both anchor on the bootstrap return distribution rather than the price-level distribution, which I agree is the correct approach. Minor disagreement is only in how much to discount for the 'no causal catalyst identified' framing, which F treats as reason to stay near the raw bootstrap number, whereas I apply a modest downward lean citing the unprecedented-high argument (d1 never closed above $103.7).
- methodological 0.6A explicitly weights the non-stationary 42-day level distribution (95th pct=$103.25, max=$105.80) more heavily than the return-based random-walk model, even though the return model already gave a materially higher estimate (~29%). My ADF test (s5, p=0.632) shows the level series is non-stationary, so anchoring the base rate to a historical price ceiling is statistically inappropriate — it conflates 'where price has been' with 'where price can go,' understating tail probability.
- factual 0.3A's level-distribution evidence uses a 42-day window (95th pct=$103.25) while my d1 uses a 63-day window; these produce different implied base rates (A=0.03 vs my level base rate=0.04) off the same underlying price series, implying a window-length sensitivity that hasn't been reconciled.
- interpretation 0.3B's bootstrap reports median +1.85% with p_loss=37.8%, landing near a similar directional conclusion to mine, but B frames the 'central scenario falls short' as the dominant narrative rather than quantifying P(return≥3.44%) directly from the right tail of the same distribution, which is the actually relevant metric for a threshold/strike question, not the median.
- methodological 0.5D's stated BASE RATE field (0.03) is anchored to the 63-day level distribution's tail frequency (price≥$105 in ~1/63 closes) rather than the return-based diffusion model D also runs; I treat the level-based frequency as an unreliable base-rate anchor given non-stationarity, whereas D uses it as the primary 'base rate' before adjusting down from the diffusion estimate.
- factual 0.2D's 63-day price distribution (s1: 95th pct=$102.75, max=$105.80) differs from my own 63-day d1 unconditional level base rate of 0.04; given seemingly the same window length, the discrepancy in percentile thresholds suggests either different series definitions or computation differences that should be reconciled before relying on either.
- methodological 0.3E models the move using a parametric log-normal/normal approximation on sd=2.87% with a negative-skew adjustment applied as a qualitative offset to catalyst risk, rather than an empirical bootstrap that already encodes the realized skew/kurtosis directly in the resampled distribution. Using skew twice (once in the sd-scaling, once as a narrative discount) risks double-counting the same effect I capture in a single empirical step.
- interpretation 0.3E interprets at-median CFTC positioning (50th percentile) as evidence against squeeze risk in either direction, and uses it to lean the final probability toward 0.29. I don't treat positioning data as informative for this specific 3-session threshold question since it's a weekly, lagged series that can't move probability on a 5-day horizon as much as E implies.
- factual 0.3F's 5-day bootstrap reports median +2.33%, 75th pct=+6.74%; my own 5-day bootstrap (s3) reports mean +1.1%, 95th pct=+15.5%. These are different output distributions (different median/mean, different tail shape) seemingly from the same type of bootstrap procedure, indicating either different underlying return samples or different bootstrap seeds/specifications that haven't been reconciled across the committee.
- assumption 0.4F (like B) applies the 5-day bootstrap distribution directly as the answer to a question that resolves on a 3-trading-day horizon (Oct30, Nov2, Nov3) without adjusting for the shorter window, which likely overstates the dispersion and thus the P(threshold) estimate relative to a correctly time-scaled model.
- methodological 0.4A blends an unconditional 42-day level-distribution base rate (3%) with a separate return-diffusion estimate (29%) and simply 'weights the level distribution more heavily' without a principled reconciliation. As the historical-analog lens shows, level distributions are regime-dependent (they encode the specific recent ceiling, not a stable structural barrier), so down-weighting the diffusion estimate because the price hasn't visited that level yet double-penalizes the same information already reflected in volatility. This is an ad hoc blend, not a tested method.
- methodological 0.3B's thesis text references 'the true ~3-session window' as the correct horizon, but the core quantitative evidence (s3) is a 5-day bootstrap (median +1.85%, p_loss=37.8%) applied directly to a 3-trading-day question. Mixing a 5-day empirical distribution with a 3-day event horizon biases the central estimate upward (more time for drift/vol to accumulate) relative to what's actually being forecast. This horizon mismatch is a bigger issue than B's framing credits.
- interpretation 0.2C and I use similar inputs (return bootstrap vs. level base rate) and reach similar structural conclusions, but C discounts the ~35-40% model-implied probability only mildly (to 0.33) for 'recent failed breakout' resistance, whereas I weight the historical-analog precedent of event-driven jump clustering (Abqaiq 2019, Feb 2022) as justifying a larger downward adjustment from any naive diffusion number, since those analogs show that absent a live, escalating catalyst, single-cause spikes historically mean-revert rather than compound within the same week.
- interpretation 0.5E argues negative skew in the daily return distribution 'argues against disproportionate upside tail risk,' but the historical analog record (Abqaiq Sept 2019: +14.7% single day; Feb 24 2022 Russia invasion: +8% single day on WTI) shows that the largest WTI upside moves have historically been supply-shock-driven jumps that occur despite a generally negative unconditional skew — skew calculated over calm periods is not informative about tail behavior conditional on an active acute shock, which is plausibly still in play here given the unexplained Oct 23 +3.75% jump.
- assumption 0.3F assumes 'no series... establishes a causal, out-of-sample-robust driver' and treats the needed move as ordinary noise, but this overlooks that the Oct 23 +3.75% single-day jump is itself unexplained by the random-walk/bootstrap framework F relies on — i.e., the data already contains an event inconsistent with F's own no-catalyst assumption. Historical analogs of unexplained >3% single-day WTI jumps are disproportionately followed by either fast reversion (most common) or a second shock within days (less common but not negligible), a bimodal outcome the smooth bootstrap median obscures.
- methodological 0.4A weights a 42-day price-level distribution (95th pct=$103.25, max=$105.80) more heavily than the return-based diffusion model to reach a low ~0.03-0.29 blended estimate. I treat the price-level ceiling only as secondary confirmation of 'no breakout yet' (my 21-day max=$103.70), not as an independent probability estimator, since the level distribution is mechanically anchored to the same recent price path as the return series and risks double-counting the same information under a different transform. Also factually, A's 42-day 95th percentile ($103.25) differs from my 21-day max ($103.70), showing window-length sensitivity neither of us has reconciled.
- interpretation 0.3B reads the two recent 2%+ single-day jumps (99.47→103.3, 99.9→102.8) as evidence the market is 'jumpy' and could produce another gap clearing $104.99, implying meaningful residual upside tail risk. I read the same return series (negative skew -0.71, kurtosis 5.3) as evidence that large moves cluster more on the downside historically, a headwind to the specific upside tail needed here. Same data, opposite directional lean on tail risk.
- methodological 0.4C runs an ADF test (p=0.632) and concludes the price-level series is non-stationary, discounting level-distribution base rates in favor of return-based estimates. I rely on the 21-day price ceiling ($103.70 max) as key evidence without addressing non-stationarity. If the series is genuinely trending/non-stationary as C argues, a backward-looking price ceiling understates breakout probability more than I've accounted for.
- factual 0.5D cites a 63-day price distribution with 95th percentile=$102.75 and says the market 'rejected' $105 after touching it only once in 63 observations, versus my 21-day window showing max=$103.70 and A's 42-day window showing 95th pct=$103.25. Three different lookback windows produce materially different ceiling readings ($102.75 vs $103.25 vs $103.70) — a factual inconsistency in underlying data slices across the committee, not just interpretation.
- assumption 0.3F treats the last observed price ($101.50, 10/29) as 'a clean, representative settlement, not a thin-volume artifact' and bases a 0.35 bootstrap estimate purely on unconditional 5-day returns with no positioning context. I flag the 10/29 volume reading (62,520, ~80% below 21-day mean) as a potential liquidity anomaly and incorporate near-median CFTC-style positioning (192,000 vs median 191,979) as evidence against a one-sided squeeze setup — F's estimate adjusts for neither signal.
- interpretation 0.5All four land on unconditional bootstrap/diffusion estimates in the 0.28-0.40 range, treating the needed +3.4% move as near the center of the return distribution. My thesis argues this base case should be revised downward because none of them incorporate the near-neutral positioning signal (d3) or weight the negative skew enough — the group consensus may overstate true probability by treating historical return dispersion as symmetric when empirical skew argues the required upside move is structurally less likely than an equivalent downside move of the same magnitude.
- methodological 0.6A's primary base rate (0.03) comes from the 42-day price-LEVEL distribution's 95th pct/max, which is a non-stationary series (ADF p=0.632 per Analyst C) — using level percentiles as a probability model implicitly assumes no drift and treats a trending/jumpy series as stationary. This conflates 'how rare has this level been historically' with 'what is the forward probability of reaching it,' which are different questions. A then separately computes a 29% return-based estimate and averages toward 3% by 'weighting the level distribution more heavily' — an unprincipled, undisclosed weighting scheme with no stated rule for why level-based evidence should dominate return-based evidence.
- assumption 0.5A picks a 42-day window length while B/E use 21 days and C/D use 63 days. No analyst (including me) tested sensitivity of the base rate to window-length choice. Since the needed threshold ($104.99) is explicitly near the max/95th-pct of whichever window is chosen, the window length itself is doing a lot of the work in determining how 'extreme' the outcome looks — this is a selection issue, not a settled fact about the data.
- assumption 0.5B asserts settlement is only 3 trading sessions away (10/30, 11/2, 11/3, treating 10/31-11/1 as weekend) yet relies on the s3 bootstrap, which is explicitly a 5-DAY return distribution. Using a 5-day vol distribution to approximate a 3-day move overstates the probability of large moves (since 5-day cumulative vol > 3-day), which should bias B's final estimate (and mine, since I used the same s3 output) upward relative to the true 3-session distribution. This is a horizon mismatch nobody fully corrected for.
- interpretation 0.4C treats the 'recent pullback from $103.3' as evidence of resistance/mean-reversion that should discount the bootstrap-implied ~35-40% to ~33%. An equally valid reading of the same six observations (99.47→103.3→101.8→99.9→102.8→101.5) is that the series is volatile and range-bound with no established resistance level at all — two touches near $102-103 in six days is a thin sample to infer a technical ceiling. This 'resistance' narrative is a pattern-matching inference, not a tested statistical feature.
- factual 0.7There is no cross-analyst agreement on what series d2/d3/d4 actually represent: A says d3 is WTI's own log-return series; B guesses d3 is an implied-vol/options-skew series and d4 is a macro/DXY return series; C treats d3/d4 as weak rate/vol proxies; D treats d2/d3 as log-return series matched to d1; E identifies d3/d4 as CFTC positioning data. These are mutually inconsistent labelings of the same tool outputs. If the series are mislabeled by any analyst, downstream causal claims (e.g., E's positioning-squeeze argument, B's dollar-correlation headwind) could be built on the wrong series entirely — this is an unresolved identification problem across the whole committee, not just D.
- assumption 0.3E assumes the thin 10/29 volume reading (62,520 vs 21-day mean of ~270-330k) is a 'liquidity/reporting anomaly, not a fundamental signal' and separately floats it as a possible precursor to a volatility spike in the objection section — these two claims are in tension and neither is tested. No placebo check was run on whether similarly thin-volume days in the historical sample preceded abnormal subsequent moves; the volume anomaly is being used narratively in two contradictory directions.
- interpretation 0.5D frames the Oct 23 +3.75% jump as evidence of 'an active, event-driven spike, not noise' to justify treating the series as momentum/diffusion rather than mean-reverting, but offers no test (e.g., checking if similar historical jumps were followed by continuation vs. reversion) to distinguish an event-driven regime from ordinary fat-tailed noise. The same single data point (one big jump) is read by D as evidence for live geopolitical risk and by C as evidence for a 'failed breakout' needing reversion — same fact, opposite causal stories, neither tested.
- methodological 0.4C notes ADF p=0.632 implies price-level non-stationarity and concludes the return-based bootstrap is 'more appropriate,' but the bootstrap itself resamples historical daily returns assuming they are drawn from a stable (stationary) return-generating process over the full 178-day sample — this just shifts the stationarity assumption from levels to returns without testing it (e.g., no regime-split or rolling-window stability check on return volatility/mean around election-adjacent periods historically).
- assumption 0.6No analyst, including myself, ran an actual placebo/event-study test comparing 5-day (or 3-day) returns around past U.S. election days specifically (or random control dates) to see if WTI exhibits any systematic election-day effect historically. Everyone is implicitly testing an unconditional/generic return threshold and then narratively discussing 'election-related catalyst risk' in the objection section without ever running the test that would confirm or rule out an election-specific effect. This leaves the core causal claim in the research question (does Election Day itself matter for oil) completely untested by the whole committee.
I concede the core point. The question is a distance-to-barrier problem over a fixed 3-session window, not "how often has price visited this level historically." A level-percentile base rate implicitly assumes the series is stationary around its 42-day range — C's ADF test (p=0.632) shows it is not, so that assumption is false, and F is right that I had no principled rule for weighting level evidence over the return model; I called it a judgment call, which is not a methodology. I also agree with F that the window-length (42d vs 21d vs 63d) is doing unexamined work, since the threshold sits near whichever window's max — but that's a second-order issue once the base-rate framework itself is fixed correctly. BASE RATE (revised): the correct base rate is the 3-day cumulative-return threshold model: mean drift 0.0029/day, sd 0.0261/day, autocorr≈0.013 (so treating days as ~independent is reasonable), giving a normal-approximation P(3-day log return ≥ 0.0338) ≈ 29%. UPDATE from that base rate: I shade this down modestly, to ~0.24-0.27, for two reasons the critics haven't addressed: (1) the normal approximation on only ~42 return observations likely understates how much of the empirical mass sits below the mean-reversion that typically follows a single large jump like the 10/23 +3.75% move — i.e., realized 3-day return distributions after large jumps tend to be more peaked/less right-skewed than a static normal fit suggests; (2) the contract requires a settlement above $104.99, not an intraday touch, which is a slightly stricter bar than the pure return-threshold framing used by B/C/F. Neither of these justifies my original 0.03 — I was wrong to let the level distribution dominate — but they're reasons the corrected estimate should land a bit under the raw 29%, not reasons to keep the old anchor.
This is correct and I concede the mechanical point: if daily returns are roughly i.i.d. with variance σ², a 5-day return distribution has variance ≈5σ² vs ≈3σ² for a 3-day move, so using s3 directly overstates the dispersion of outcomes over the true horizon by a factor of √(5/3)≈1.29x on the sd. My original text flagged the issue in prose ("scaling... to the true ~3-session window... further reduces the odds") but never actually re-ran the bootstrap at n=3; I used the 5-day output as the quantitative anchor while verbally discounting it, which is inconsistent. Correcting this: scaling d2's daily sd (≈2.6%) to 3 sessions gives sd_3≈2.6%×√3≈4.5%, vs the implied 5-day sd from s3 of roughly 2.6%×√5≈5.8%. The required move is still +3.4% (~0.75σ_3 vs ~0.59σ_5), so under a normal approximation this pushes P(move≥3.4%) down from roughly the 30% area to something closer to the 22-25% range — a real but not thesis-reversing shift, since it moves toward Analyst A's lower number without endorsing the 0.03 level-ceiling extrapolation, which I think is a separate and weaker argument (small-sample order statistics from a 42-day window are a poor ceiling estimate for a market that already closed 2% above its own prior 95th percentile mid-window — the "ceiling" has already broken once in-sample, per A's own max=$105.80 observation, so treating $103.25 as a hard wall ignores that the series itself violated it).
A is partially right, and I should sharpen rather than fully concede. There are two distinct level-based claims I treated as one: (1) the full-sample unconditional level distribution (giving base rate 0.04), which compares current price to a historical price range that may span different regimes/drift — this IS undermined by non-stationarity (ADF p=0.632), because "how often has WTI historically been ≥$105" is not a stable reference class if the series has drifted. (2) the local 21-day/6-observation resistance pattern (repeated failure above ~$103) — this is a within-regime, recency-conditioned observation, not a claim about the unconditional historical distribution, so non-stationarity of the long-run series doesn't logically disqualify it. I actually used (2) myself (d1, the pullback discount from 0.35-0.40 down to 0.33), so my own reasoning already implicitly treats local level patterns as informative while explicitly discarding only the full-sample level base rate. A's challenge exposes that I didn't state this distinction clearly, which made it look like I was rejecting "levels" wholesale while quietly reintroducing them as a discount factor — that's an internal inconsistency in presentation, not in substance. What I have NOT done is test whether the local-resistance effect is statistically real: I haven't run a regression of forward 3-day returns on distance-from-rolling-high with HAC errors to see if there's a significant mean-reversion coefficient near local peaks, versus it being noise from n=6 observations (which overlaps with F's separate, valid point that 2 touches near $102-103 is a thin sample). So: I concede the stationarity argument shouldn't be used to broadly dismiss all level-based inference, but I do not concede that the specific 21-day ceiling is established evidence — that remains an untested pattern-match pending the regression below.
Partial concession, with a scoped defense. F is right that there is a real, unresolved identification problem across the committee — five analysts producing five different guesses for the same tool outputs (d3=WTI returns vs. implied-vol/skew vs. rate/vol proxy vs. CFTC positioning) cannot all be correct, and I have no independent way from where I sit to adjudicate which label is true. That is a legitimate factual gap, not just an interpretive quibble. However, from the analog/base-rate seat specifically, my core forecast does not depend heavily on resolving d2/d3/d4's identity. My load-bearing inputs are: (1) d1, the WTI closing-price series itself (99.47→103.3→101.8→99.9→102.8→101.5) — every analyst agrees this is WTI's own price path, and (2) s1, the 63-day price-level distribution derived from that same series. Those are not in dispute. The one place F's challenge bites hardest is s3 (sd=0.0287, n=515, used for my diffusion estimate) — if that series is actually an options-implied-vol or macro series rather than WTI's own daily log-returns, my 3-day diffusion math is wrong at the input level, not just the interpretation level. I flagged a version of this risk in my own objection (shock-clustering/fat tails) but F's point is sharper: I can't even be fully confident the *volatility number itself* is WTI's, independent of fat-tail adjustments. Historically, this kind of input-identification error is exactly how analog comparisons go wrong — e.g., mistaking an options-market-implied vol (which embeds an event risk premium, typically higher than realized vol) for realized return vol would make my diffusion estimate too low, since implied vol around live geopolitical risk is usually elevated relative to the trailing realized figure. If s3 is actually implied vol, my "high-20s%" diffusion estimate is a floor, not a point estimate, and the true breakout probability is higher.
D is methodologically correct in the abstract: skew/kurtosis estimated over a 2-year calm-dominated sample is a poor descriptor of tail behavior *conditional on* an active, ongoing shock — that's a real limitation of E's parametric approach, and I partially concede it (see below). But my role is to ask whether that conditional-shock scenario is actually what the market is pricing right now, and the positioning/liquidity evidence argues against it. OBSERVED: CFTC-style net-long positioning sits at ~50th percentile (192,000 vs median 191,979) — in both Abqaiq and the Feb 2022 invasion, the jump itself triggered visible positioning/open-interest dislocation in the days after (scrambling to re-hedge, OI spikes); here positioning is flat and unremarkable five trading days after the Oct 23 jump. OBSERVED: volume on 10/29 (62,520) is ~80% below the 21-day mean, the opposite of what you'd expect if the market were actively repricing an unresolved shock (shock repricing typically shows elevated, not collapsed, volume). INFERRED: the Oct 23 move looks more consistent with a one-day idiosyncratic spike that faded (price receded to 99.9 within two sessions before partially recovering to 101.5) than with the early stage of a sustained shock trajectory analogous to Abqaiq/2022. So while D is right that *if* an active shock is in play, historical skew understates the true tail, the positioning/volume data available to me don't show the market currently behaving as if that shock is live. UNCERTAIN: I have no options-implied volatility or risk-reversal data and no prediction-market quote for this contract, so I cannot directly observe a market-implied probability distinct from the statistical model — this is a genuine gap, not a resolved disagreement.
This is the strongest hit and I only partially concede it. Two separable claims are bundled here: (1) a horizon-mismatch claim (my 5-day bootstrap applied to a 3-trading-day resolution window) — I concede this outright, it's a real overstatement of dispersion and lines up with C's independent challenge on the same point; and (2) a 'ceiling-rejection' claim — that a single historical touch-and-reject of ~$105.80 is informative about future probability. I push back on (2). A single touch in a 42-63 day lookback is n=1 at the level of 'approach and reject' events; treating one data point as a structural ceiling is itself an unvalidated causal story — it could just as easily be noise (the same kind of sampling variation my bootstrap already captures) rather than a real resistance mechanism (e.g., algorithmic selling, OPEC+ verbal intervention, or producer hedging flow at that level). Before I'd lower my estimate on ceiling-rejection grounds specifically, I'd want to see: (a) how many times WTI has approached within 1% of a local high over a longer lookback and what fraction rejected vs broke through — a sample size large enough to distinguish signal from noise, and (b) whether the $105.80 touch coincided with a dated catalyst (news, inventory report) that would make it non-recurring rather than a persistent technical level. Absent that, I treat the single touch as consistent with — not contradictory to — my bootstrap's own tail behavior (my 75th pct is +6.74%, meaning the model already assigns meaningful but minority probability to large up-moves, which is roughly what a 'rare touch' pattern would look like under pure noise). So: I concede the horizon-mismatch component should push my 0.35 down, but I do not concede that the ceiling touch itself is additional independent evidence requiring a further downward adjustment — it may be the same information already reflected in my tail estimate, not new information.
- -0.01 s2: daily return distribution skew=-0.71, kurtosis=5.3 (negative skew means large upside moves of the magnitude needed are somewhat less probable than a symmetric normal approximation implies)
- -0.01 CFTC-style positioning at ~50th percentile (192,000 vs median 191,979) and 10/29 volume ~80% below 21-day mean — no evidence of an active, in-progress shock/squeeze that would justify fat-tailing the 3-day distribution upward
- +0.00 Confirmation via independent derivation (B and C both re-ran their 5-day bootstraps scaled to 3 sessions and converged near 22-25%), corroborating my own 3-day return-threshold base rate rather than adding new information
- +0.00 F's pushback that a single $105.80 touch-and-reject is n=1 and likely already reflected in the bootstrap's own right-tail mass, not independent evidence for a further downward adjustment
BASE RATE: unconditional 3-day log-return threshold model (mean drift 0.0029/day, sd 0.0261/day, ~iid) gives normal-approx P(3-day return ≥ 3.38%) ≈ 29%. This remains the correct reference class — the committee converged on this after correcting two errors: (1) my own over-reliance on the non-stationary 42-day level distribution (base rate 0.03), which C's ADF test (p=0.632) shows is an invalid stationarity assumption, and (2) B/C/F's initial 5-day bootstrap estimates (30-40%), which overstated dispersion for a 3-trading-day window — B and C both explicitly re-derived their numbers scaling sd by √(3/5)≈0.775 and landed in the same 22-27% neighborhood I'd already reached independently via the 3-day model, so that correction is now committee consensus, not new information for me specifically. What IS new, not already in my prior reasoning: E's positioning and volume evidence. CFTC-style managed-money positioning sitting at essentially the 50th percentile, combined with 10/29 volume running ~80% below the 21-day mean, is evidence AGAINST the market currently behaving as if an active, escalating supply shock is underway (in Abqaiq/Feb-2022-type events, positioning and volume dislocate sharply in the days following the initial jump; here they haven't). This directly bears on my own stated objection — that the 10/23 +3.75% jump could be the start of a breakout regime that would make the backward-looking 3-day sd understate true risk. E's OBSERVED data weakens that objection: the market is not currently pricing or positioning for a live catalyst, so I should not inflate my estimate for that scenario. Combined with E's point on negative skew/kurtosis in the return distribution (which argues the symmetric normal approximation I used slightly overstates the probability of a move this large to the upside specifically), I shade my estimate down modestly from the 0.24-0.27 range to 0.23. I do not accept F's or C's ceiling-rejection evidence as an *additional* independent downward adjustment, per F's own valid self-rebuttal: a single touch-and-reject at $105.80 in a 42-63 day window is n=1 and is plausibly already embedded in the bootstrap's own tail mass rather than being new information requiring a further markdown. That evidence nets to zero. UNCERTAIN: No options-implied-vol, skew/risk-reversal, or prediction-market-quote data exists in the dataset (E flagged this gap explicitly), so I cannot verify whether a market-implied probability already differs materially from this statistical estimate — this remains an open gap for all seven of us, not resolved by any evidence presented. FALSIFICATION: If WTI front-month settles above $104.99 on 2026-11-03 (CME settlement), this estimate is falsified on the high side; if it settles at or below, the NO lean is confirmed. Re-check against official CME settlement data on 2026-11-03/11-04, and separately check whether CFTC positioning or volume moved materially above their 95th percentiles before 11/3, which would be the leading indicator that the "no live catalyst" assumption underlying this estimate had broken.
- +0.01 ADF test p=0.632 showing the WTI price-level series is non-stationary, which undermines treating the 21/42/63-day price ceiling (e.g., $103.25-103.7 max) as a stable structural barrier rather than a regime-dependent artifact.
- -0.02 CFTC-style managed-money positioning at ~50th percentile (192,000 vs median 191,979) and 10/29 volume ~80% below the 21-day mean — observed signals inconsistent with an active, unresolved shock/squeeze setup that would justify weighting fat-tail jump risk more heavily.
- -0.01 Negative skew (-0.71) and high kurtosis (5.3) in the 2-year daily return distribution, combined with the single $105.80 touch-and-reject in the 63-day window being consistent with (not additional evidence beyond) the bootstrap's own right-tail mass rather than a validated resistance mechanism.
- +0.00 Committee-wide convergence (A, C, F conceding) that the 5-day bootstrap overstates dispersion for the true ~3-session window, confirming my own rebuttal's horizon correction rather than adding new information beyond what I already applied.
BASE RATE: Unconditional 3-session threshold-crossing probability from a normal approximation on daily returns (mean≈0.29%/day, sd≈2.6-2.9%/day, autocorr≈0), scaled to 3 sessions, required move +3.4% (~0.6-0.75σ above drift-adjusted mean) ≈ 0.27-0.29 (A's revised figure, D's 'high-20s%', E's 0.29 for a 4-5 day window). This is the correct reference class — not the full 5-day bootstrap (which overstates variance by √(5/3)≈1.29x) and not the full-sample price-level percentile (which assumes stationarity the data rejects, per C's ADF result). STARTING POINT: My own rebuttal already corrected the horizon-mismatch, landing near 0.22-0.25, which is consistent with the committee's converged 3-day normal-approximation base rate (~0.27-0.29) shaded down for secondary factors. UPDATE FROM NEW EVIDENCE (not already in my thesis): 1. (+0.01) Analyst C's ADF non-stationarity result is new, specific evidence that weakens the credibility of treating the 21-day/$103.7 ceiling as a hard structural barrier (which I had implicitly used as a headwind in my original thesis's "unprecedented high" framing). This modestly removes some of the downward pressure I'd placed on the estimate from level-based reasoning, since that reasoning is now shown to rest on an unstable series. 2. (-0.02) Analyst E's positioning and volume data are new observed facts I did not have: CFTC-style net positioning sitting at the 50th percentile and collapsed (not elevated) volume on the last print. Both are the opposite of what a live, escalating geopolitical/supply shock would show (per E's and my own catalyst-jump tail-risk concern in my own objection). This is concrete evidence the market is NOT currently behaving as if pricing in an imminent catalyst-driven breakout, which directly addresses — and partially deflates — the jump-risk tail I flagged as my own objection. This is the single most decision-relevant new input, since my original NO-lean explicitly carried "meaningful residual tail risk from event-driven jumps," and E's data argues that risk is not currently visible in positioning/flow. 3. (-0.01) Analyst D's sharpening of the single $105.80-touch point: it's consistent with (not incremental evidence beyond) the bootstrap's own right-tail mass, meaning I should not double-count "ceiling rejection" as an independent bearish factor on top of the return-distribution-based estimate. This is a small further anchor toward the pure statistical-distribution view over any level-pattern overlay. 4. (0.0) The committee-wide convergence on the horizon-mismatch correction (A, C, F all independently concede the 5-day→3-day scaling issue) validates but does not add beyond the correction I already made in my own rebuttal — no further delta since this is my own prior reasoning being confirmed, not new evidence. NET: 0.25 → 0.23. This sits just below the pure 3-day normal-approximation base rate (~0.27-0.29) reflecting E's observed positioning/volume evidence that the catalyst-jump tail I was most worried about does not currently appear to be live, while not fully collapsing to A's discredited 0.03-0.04 level-based anchor. FALSIFICATION: If WTI front-month settles above $104.99 on 2026-11-03, this NO-leaning estimate is falsified. If CFTC-style managed-money positioning (next available print) or daily volume shows a sharp spike before 11/3 signaling active repositioning around a live catalyst, this estimate should be revised upward in advance of settlement, as that would invalidate the "no visible catalyst" evidence from E that drove the net downward revision.
- -0.06 B's explicit re-derivation showing my s3 bootstrap (built on a 5-trading-day resampling horizon) overstates dispersion relative to the true ~3-trading-day settlement window: scaling sd_daily(~2.6-2.9%) to 3 sessions (~4.5%) vs the 5-day bootstrap's implied sd (~5.8%) means the +3.44% threshold is really ~0.75σ_3 rather than ~0.59σ_5 — a materially stricter bar under the correct horizon than my original percentile read implied.
- +0.03 F's objection that a single touch-and-reject at ~$105.80 (n=1 'approach and reject' event in the lookback) is not independently validated resistance — it may already be the same information captured in the bootstrap's own right tail (75th pct +6.74%), meaning my discount from 0.35-0.40 down to 0.33 for 'failed breakout' risked double-counting information already priced into the unconditional distribution rather than adding new signal.
- -0.02 Convergent independent re-estimates from A (0.24-0.27), D (high-20s adjusted down for skew, ~0.28), and E (0.29, with flat positioning/collapsed volume arguing against a live catalyst) landing in the same 0.24-0.29 band after their own corrections, which cross-validates the direction (down from raw ~0.35) and magnitude of the horizon/skew adjustment.
BASE RATE: the unconditional 63-day level base rate (~0.03-0.04) is unreliable (ADF p=0.632, non-stationary), so the operative base rate is the empirical 3-trading-day return-threshold model. Once corrected for the 5-day-vs-3-day horizon mismatch B quantified precisely (sd_3≈daily_sd×√3 vs the 5-day bootstrap's sd_5≈daily_sd×√5, a ~1.29x overstatement of dispersion), the normal-approx probability centers in the 0.22-0.28 range rather than the raw 0.29-0.40 range several of us (myself, F, B pre-correction) initially read off 5-day bootstrap outputs. My own prior estimate (0.33) was a discount applied on top of that mis-scaled 5-day bootstrap, so once the horizon correction is applied, the underlying input itself shifts down, independent of any further discount I layer on. Simultaneously, F's challenge to my own 'failed breakout at $103' discount is well-taken on reflection: that discount was partly non-logged intuition from the same 6-observation local pattern my own rebuttal flagged as untested (pending a HAC regression I have not run). Since I cannot currently distinguish 'real local resistance' from 'noise already captured in bootstrap tails,' I should not stack a resistance discount on top of a tail-distribution estimate that may already contain that information — this pulls the number back up modestly. Net effect: the horizon correction (real, quantified, larger magnitude) dominates the resistance-discount partial reversal, landing at 0.28. I still have NOT run the regression needed to validate or kill the local-resistance effect (distance-from-rolling-high vs forward 3-day return, HAC-adjusted) — until that test is run, I treat the resistance-based component as untested and keep only the horizon-corrected bootstrap/diffusion component as load-bearing. Confidence is moderate (0.55): D and F raised an unresolved cross-analyst identification problem (whether various d2/d3/d4 series are true WTI returns vs. implied vol vs. unrelated macro series), which I cannot personally adjudicate and which could shift the true sd/skew inputs materially in either direction.
- -0.02 CFTC-style positioning sitting at ~50th percentile (192,000 vs median 191,979) five sessions after the Oct 23 jump, plus 10/29 volume at ~80% below the 21-day mean — neither shows the dislocation/elevated-volume signature seen in genuine ongoing shock episodes (Abqaiq, Feb 2022)
- -0.01 ADF test on the price level series, p=0.632 (non-stationary) — further undercuts reliance on the 63-day level distribution (s1) as a base-rate anchor, reinforcing that I should lean almost entirely on the (already correctly 3-day-scaled) diffusion estimate rather than any residual level-ceiling intuition
- +0.00 B and C's horizon-mismatch critique (5-day bootstrap sd misapplied to a 3-trading-day window, inflating dispersion by ~1.29x)
BASE RATE: unconditional, the 63-day price-level base rate for closes ≥$105 is ~1.6-4% (s1, confirmed independently by A and C). But as C's ADF test (p=0.632) shows, the price level series is non-stationary, so that level-based base rate is a poor anchor — the better base rate is the 3-trading-day cumulative-return threshold (+3.44% from $101.50), which under i.i.d.-returns diffusion (my s3, sd=0.0287/day, correctly already scaled to 3 days unlike B's and C's initial 5-day bootstrap error) gives a base rate in the high-20s%. UPDATE: My original estimate (~28%, "high-20s adjusted modestly down for negative skew and the single-touch rejection near $105.80") stands as my core diffusion-based number, unlike B and C whose headline figures needed a downward correction for a horizon mismatch I had already avoided. Two pieces of genuinely new evidence move me further: (1) E's positioning/volume data — CFTC managed-money positioning flat at the 50th percentile and volume collapsed ~80% below its 21-day mean as of 10/29 — is the opposite signature of an actively-repricing shock (Abqaiq and Feb 2022 both showed OI/positioning dislocation and elevated volume in the days after the initiating jump). This directly weakens my own stated objection (that a live, unresolved geopolitical/supply shock could still escalate and blow through $105), since the market is not currently behaving as if such a shock is in progress — it looks more like a one-day idiosyncratic spike that partially faded. That argues for leaning more on the calm-regime diffusion estimate and less on fat-tail/shock-clustering upside risk. (2) C's non-stationarity finding on the price-level series reinforces discarding the level-based base rate (s1) entirely rather than letting it pull my number down as a secondary anchor, which nets out to a very small additional downward pressure since the level evidence was already suggesting rejection near $105.80 — removing it as an independent anchor slightly reduces how much extra downward adjustment I apply beyond the pure return-diffusion number. Net effect: both pieces of new evidence point toward trusting the clean 3-day diffusion estimate more and discounting both the extra downside skew-adjustment and any residual upside shock-escalation premium, converging my number from ~28% to ~25%, in the same range the committee is converging on (B's revised 22-25%, A's revised 24-27%) via a different evidentiary path (positioning/volume behavior rather than horizon-mismatch arithmetic, which I did not need to correct). FALSIFICATION (unchanged): If WTI front-month settles above $104.99 on 2026-11-03, this forecast is falsified; check whether CFTC positioning (d3/d4) or volume (d5) show a late-breaking dislocation in the Oct 30–Nov 3 window consistent with a fresh shock, which would explain the miss and should be flagged as the specific failure mode of the calm-diffusion assumption.
- +0.03 63-day price series shows a prior touch of 105.80, outside my 21-day window, undermining my ceiling-never-breached framing
- +0.02 Possible mislabeling of the committee volatility series as implied vol rather than realized returns, which would mean realized-vol diffusion estimates understate tail risk
- +0.00 Committee convergence of independent return-threshold estimates (roughly 0.22 to 0.27 after horizon corrections) above my implicit prior view
Base rate from a pure positioning lens: no options-implied-vol or prediction-market quote is observable for this contract, so I cannot directly measure a market-implied probability distinct from the statistical models the committee built. Two observations that are mine to contribute survive the debate unchanged: CFTC-style positioning sits at the 50th percentile (192000 vs median 191979), showing no crowded long or short base; and 10/29 volume (62520) is about 80% below the 21-day mean, inconsistent with active repricing of a live shock. Neither was challenged with contrary data, only with theory about what a live shock would look like, so my crowding read stands: low crowding, no squeeze setup in either direction. What did move me: C and D noted the 63-day window shows one prior touch at 105.80, which I had not accounted for since I only used the 21-day window; this weakens my fresh-breakout framing, though it remains a single-touch (n=1) observation. D also flagged that the shared volatility series used across the committee could be an implied-vol series carrying an event premium rather than realized returns, meaning realized-vol-based diffusion estimates (including mine) could be a floor rather than a point estimate for tail probability. Both are genuine new information, weighted moderately given their conditional/single-observation nature. Net result: I move from about 0.15 to 0.20, converging toward the low end of the committee's corrected return-threshold cluster (roughly 0.22-0.27) rather than remaining below it, while keeping my crowding score low since no positioning or volume evidence contradicts a flat, uncrowded market. Falsification: if CFTC-style positioning jumps above its 95th percentile (260025), or volume prints at 3x+ the 21-day mean before 11/3, that would indicate active repricing of a live catalyst and should push this estimate toward the committee's higher cluster (above 0.30).
- -0.07 Horizon correction: true window is 3 trading days (10/30, 11/2, 11/3) not 5; scaling daily sd (~2.6-2.9%) to 3 sessions gives sd_3≈4.5% vs the 5-day bootstrap's implied sd_5≈5.8%, so applying s3 directly overstated dispersion by ~1.29x and inflated P(move≥3.44%)
- -0.02 CFTC-style positioning sits at ~50th percentile (192,000 vs median 191,979, no squeeze setup) and volume on 10/29 is ~80% below the 21-day mean — observationally inconsistent with an active, ongoing shock being repriced (shock repricing typically shows elevated positioning/volume dislocation, as in prior analog events), which undercuts the 'live geopolitical catalyst' alternative that every analyst's own-objection invoked to argue the unconditional bootstrap understates tail risk
- +0.00 ADF test p=0.632 showing the price level series is non-stationary — this discredits the full-sample level-distribution base rates (the 0.03-0.04 estimates from A/D) as an anchor, but I was already using a return-based approach, not a level base rate, so it confirms my framing rather than changing my number
- +0.00 Single historical touch-and-reject near $105.80/$103.25-103.70 as evidence of a resistance ceiling (raised independently by A, D, E)
- +0.00 Unresolved identity of d3/d4 series (WTI returns vs implied vol vs CFTC positioning vs macro proxy) — a genuine data-integrity gap that no analyst can fully resolve from this seat
BASE RATE: unconditional P(3-session cumulative return ≥ +3.44%) under a normal approximation using daily sd≈2.6-2.9% scaled to 3 sessions (sd_3≈4.5-5.0%) is roughly 22-29% across A/B/D's corrected calculations — call the committee-converged base rate ≈0.26. I started at 0.35, built on an uncorrected 5-day bootstrap applied to what is actually a 3-trading-day settlement window. The single most load-bearing correction across the committee (B's variance-scaling argument, independently converged on by A and D) is mechanically sound: using the 5-day distribution overstates dispersion relative to the true 3-session horizon by a factor of √(5/3)≈1.29 on the sd, which shrinks the right tail and reduces the probability mass above the +3.44% threshold. I accept this in full — it is a horizon-mismatch error in my own evidence, not a new causal claim, and all five other analysts converge on correcting it the same direction and roughly the same magnitude (settling in the 0.22-0.29 band). Second, as causal skeptic I weight E's positioning/volume evidence as the one piece of genuinely new causal-relevant information: it directly tests the alternative hypothesis (an unresolved/escalating geopolitical or supply shock) that every analyst's own-objection raised as the reason their statistical model might understate true probability. If that catalyst story were live, we would expect to see positioning crowding and/or elevated volume as the market repriced risk — we observe the opposite (positioning at median, volume collapsed 80% below mean). This doesn't rule out a catalyst materializing in the next 3 days, but it removes an a priori reason to inflate the tail probability above what the corrected statistical base rate implies. I apply a modest additional discount for this. I explicitly do NOT discount further for the single-touch "ceiling rejection" narrative (A/D/E). As I argued in my rebuttal, n=1 touch-and-reject events in a 42-63 day window are statistically indistinguishable from noise without a documented catalyst or a longer-lookback hit-rate test, and C's own rebuttal concedes this pattern remains "untested, pending a regression of forward returns on distance-from-rolling-high." Until that regression is run, I treat the ceiling-touch as consistent with, not incremental to, the tail probability my bootstrap/diffusion models already assign to large up-moves. I also do not move on the non-stationarity point (C) since I was never anchoring on the full-sample level distribution, only on return-threshold models, so that critique doesn't bite my framework. The remaining uncertainty is substantial and not fully resolved: no analyst can independently confirm what d3/d4 actually measure (WTI returns, implied vol, or positioning), which means every quantitative sd estimate in this committee carries unquantified model risk. The fact that five independently-built approaches (price-level, bootstrap, diffusion, positioning-conditioned) converge to roughly the same 0.22-0.29 band is reassuring but not dispositive — convergence could reflect shared data-source confusion rather than independent validation. This keeps my confidence moderate rather than high. FALSIFIED IF: WTI front-month settles above $104.99 on 2026-11-03 with same-day CFTC-style positioning or volume data showing a discrete, catalyst-consistent jump (e.g., positioning or volume moving >2 standard deviations from its 10/29 reading) — that would validate a live catalyst rather than noise and falsify this NO-leaning, catalyst-skeptical estimate. Conversely, if WTI settles below $101.50 before 11/3 with positioning/volume remaining flat, that is consistent with (not falsifying) this estimate.
BASE RATE: An unconditional 3-trading-session return-threshold crossing (required move +3.44% from $101.50, daily sd ~2.6-2.9%, near-zero autocorrelation, slight positive drift) under a normal approximation centers at ~0.26-0.29 before further adjustment — this is the base rate the full committee converged on after jointly identifying and correcting two errors: (1) A/D's initial over-reliance on the non-stationary price-level distribution (which implied a base rate of only ~0.03-0.04, later invalidated by C's ADF test, p=0.632), and (2) B/C/F's initial use of 5-day bootstrap dispersion applied to what is actually a 3-session window (overstating sd by √5/3≈1.29x). UPDATE: The genuinely new, independent evidence beyond the shared return/price series is Analyst E's observation that CFTC-style positioning sits at the 50th percentile and volume is ~80% below its 21-day mean as of 10/29 — the opposite signature of an actively escalating geopolitical/supply shock (contrasted with Abqaiq/Feb-2022 analogs where positioning and volume dislocated sharply post-jump). This evidence directly addresses the one upside objection nearly every analyst raised independently (that the Oct 23 +3.75% spike could be the start of a breakout regime the backward-looking sd understates) and modestly shades the base rate down. Negative skew/excess kurtosis in realized returns (E, D) further argues the symmetric normal approximation slightly overstates upside tail probability. I do not accept the single $105.80 touch-and-reject (A/C/D) as an *additional* independent downward adjustment — per F's self-rebuttal, n=1 touch events in a 42-63 day window are plausibly already embedded in the bootstrap's own tail mass. NET: I land at 0.23, essentially matching the deterministic calibration-weighted pool (0.24), reflecting the committee's return-threshold base rate (~0.26-0.29) shaded down by E's positioning/volume evidence that the catalyst-escalation tail risk is not currently live, while explicitly not collapsing toward A's discredited level-based anchor (0.03) or F's uncorrected initial bootstrap read (0.35). TOP DISAGREEMENT & RESOLUTION: see field above — resolved in favor of the return-threshold model as the correct reference class, per C's non-stationarity test, with full committee convergence after self-correction. TRADEABILITY: This is a directional lean (NO, i.e., fade $105) but weakly tradeable given current evidence. The 0.23 point estimate with a wide CI [0.15, 0.33] reflects real model uncertainty (unreconciled bootstrap outputs, no market-implied probability to benchmark against, ambiguity about what underlying series d3/d4 represent). If a binary/prediction-market contract or listed option struck near $105 (Nov 3 expiry) is available and priced meaningfully above ~0.30-0.32 implied probability, selling that contract / selling the $105 call is a positive-expected-value expression consistent with this analysis. Absent such an instrument or if it is priced inside 0.20-0.28, there is no edge — the committee's estimate is close to its own uncertainty band and does not clearly diverge from what an efficient market would likely price given the same realized-volatility inputs. I would not short outright WTI futures on this thesis alone, since the expected 3-session price drift is still slightly positive (~+0.9-1.0%); the edge, if any, is specifically in the tail (P(≥$105)), not in the directional spot view.
Assumptions
- untestedd1 is the WTI front-month settle price series and d3 is its matched daily log-return series (confirmed by autocorr≈0 and matching magnitude of known jumps, e.g. 10/23 +3.75%).
- untested3 trading days separate 10/29 settle from 11/3 settle (10/30, 11/2, 11/3), treating 10/31-11/1 as a weekend.
- untestedNo major scheduled OPEC+ meeting or confirmed supply disruption is priced into the as-of data beyond what's reflected in recent realized volatility.
- untestedd2, d4, d5 are not WTI spot returns (likely related series — e.g. crack spread, implied vol, or a correlated product) and are used only as secondary context, not as the primary return model.
- untestedd1 series = daily WTI front-month price level; d2 = daily WTI log/pct returns; d3 = an implied-vol or options-skew weekly series; d4 = a related macro return series (possibly DXY); d5 = volume/open-interest.
- untestedOnly ~3 trading sessions (Fri 10/30, Mon 11/2, Tue 11/3) separate the as_of date from settlement, not a full 5 calendar/trading days.
- untestedSettlement defined as front-month futures settle price on 11/3/2026, consistent with d1's price series.
- untestedNo major OPEC+ or geopolitical supply shock is already priced in or imminent beyond what's reflected in the last six observations.
- untestedd1 is the WTI front-month price series (level) sampled over last 63 observations, most recent =101.5 on 2026-10-29.
- untestedd2 is the daily log/simple return series for WTI (or a closely tracked proxy), n=178, used to build the 5-day bootstrap.
- untesteds3's 5-day bootstrap distribution, built from d2, is a reasonable proxy for the actual 3-trading-day return distribution between 2026-10-29 and settlement on 2026-11-03.
- untestedd3 and d4 (rate/vol-like series, sd ~0.01 and ~0.07) are not directly oil-price-relevant and are treated as weak/uninformative for this specific threshold test.
- untestedSettlement on Kalshi tracks the front-month WTI futures settle, consistent with d1's definition.
- untestedd1 is the WTI front-month price series and d2/d3 are associated daily log-return series at matching or related frequencies.
- untestedThe settlement on Nov 3, 2026 will use the front-month contract's settle price, consistent with the historical close series in d1.
- untestedReturns over the next 3 trading days are approximately independent increments of the observed 511-day return distribution (s3), i.e., no regime change in volatility is assumed by default.
- untestedThe 'last' values shown for d1/d2/d3 end on dates close to but not after 2026-10-29, consistent with the as_of timestamp.
- untestedd1 series represents WTI front-month daily settlement price (last=101.50 on 2026-10-29)
- untestedd2 is the daily log/pct return series for WTI (n=519, ~2yr history)
- untestedd3/d4 approximate CFTC managed-money positioning metrics (net contracts, net-long ratio), weekly
- untestedd5 is daily volume or open interest; the 2026-10-29 reading of 62,520 (vs prior ~270-330k) is a liquidity/reporting anomaly, not a fundamental signal
- untestedNo direct Kalshi order-book price was supplied, so market-implied probability is reconstructed from underlying asset volatility rather than observed strike pricing
- untested5 calendar days = ~4 trading days between as_of (10/30) and settlement (11/3)
- untestedFront-month WTI settle on Nov 3, 2026 behaves consistently with the historical 5-day return distribution in d2/s3 (no structural break).
- untestedLast observed WTI price (d1, 2026-10-29 = $101.5) is a clean, representative settlement, not a thin-volume artifact.
- untestedNo election-specific oil-market catalyst (e.g., sanctions, OPEC action, SPR release) is embedded in the current data window.
- untestedLibrary insight signals (wind gust, d3 series) are assumed non-causal for this 5-day horizon unless shown otherwise.
Simulated trade
The portfolio manager proposed no paper trade. No instrument in the available catalog isolates the specific tail event (WTI>=$105 by 11/3) the way a $105-strike Nov-3 option or prediction-market binary would. Outright WTI futures/ETF shorts are directionally mismatched with this thesis (expected 3-session drift is still slightly positive at +0.9-1.0%) and would expose the position to the full return distribution rather than just the tail probability the committee disagreed about. Combined with 0.85 crowding in consensus short-oil positioning and the committee's own wide uncertainty band [0.15, 0.33] -- which likely brackets whatever an efficient market would price given the same realized-volatility inputs -- there is no demonstrated edge after costs. Declining to propose (propose=false) until a strike-specific $105/Nov-3 instrument is confirmed available and observed priced meaningfully above ~0.30-0.32 implied probability.
Forecasts
| Seat | Stage | P | Base | Resolves | Outcome | Brier |
|---|---|---|---|---|---|---|
| Committee | final | 24% | — | 2026-11-03 | open | — |
| Commodities Analyst | prior | 12% | 3% | 2026-11-03 | open | — |
| Commodities Analyst | independent | 18% | 3% | 2026-11-03 | open | — |
| Commodities Analyst | revised | 23% | 3% | 2026-11-03 | open | — |
| Public Markets Analyst | prior | 8% | 30% | 2026-11-03 | open | — |
| Public Markets Analyst | independent | 27% | 30% | 2026-11-03 | open | — |
| Public Markets Analyst | revised | 23% | 30% | 2026-11-03 | open | — |
| Quantitative Researcher | prior | 4% | 4% | 2026-11-03 | open | — |
| Quantitative Researcher | independent | 33% | 4% | 2026-11-03 | open | — |
| Quantitative Researcher | revised | 28% | 4% | 2026-11-03 | open | — |
| Historical Analog Analyst | prior | 8% | 3% | 2026-11-03 | open | — |
| Historical Analog Analyst | independent | 28% | 3% | 2026-11-03 | open | — |
| Historical Analog Analyst | revised | 25% | 3% | 2026-11-03 | open | — |
| Market Positioning Analyst | prior | 8% | 29% | 2026-11-03 | open | — |
| Market Positioning Analyst | independent | 21% | 29% | 2026-11-03 | open | — |
| Market Positioning Analyst | revised | 20% | 29% | 2026-11-03 | open | — |
| Causal Skeptic | prior | 12% | 35% | 2026-11-03 | open | — |
| Causal Skeptic | independent | 30% | 35% | 2026-11-03 | open | — |
| Causal Skeptic | revised | 26% | 35% | 2026-11-03 | open | — |