Data through close

KOS max pain, gamma exposure (GEX) & options open interest

As of close · rank #316 by open interest · 1,274 sessions of history since Dec 4, 2020

KOS's nearest-expiration max pain is 2.50 for 2026-10-16, its GEX flip is 0.40, net GEX is 6,562,701, its put/call open-interest ratio is 0.31. These are whole-chain derived aggregates as of Oct 2, 2026 close.

Close
2.51
prev 2.58
Gamma max
2.82
+12.3% from close
Delta neutral
1.88
-24.9% from close
Gamma neutral
0.40
-83.9% from close
Open interest
282,393
-0.2% vs prev
Contracts listed
67
53 calls · 38 puts

Whole-chain analytics

Derived after the close from the same dated options chain. Signed gamma exposure uses calls positive and puts negative; it is a model convention, not observed dealer inventory.

Nearest max pain
2.50
-0.4% from close
2026-10-16
GEX flip
0.40
-83.9% from close
Net GEX
6,562,701
2,323,960 per 100k OI
Call wall
2.50
-0.4% from close
Put wall
2.50
-0.4% from close
Put/call OI
0.31
67,562 puts / 214,831 calls

Advanced options analysis

Complete derived analysis from the dated chain, normalized where possible for comparison across tickers. Catalyst intensity measures unusual pricing and activity; it does not identify an event, predict direction, or establish that an investment is attractive.

Catalyst intensity
66.7
cross-sectional score / 100
Directional score
-5.6
mixed positioning
IV rank
76.8
within trailing 52-week range
Front / back ATM IV
+73.0% / +69.3%
3.7 pp front premium
Expected move
+14.3%
14 DTE · one standard deviation
ATM straddle / spot
+11.0%
front-window midpoint premium
25Δ risk reversal
22.0 pp
put IV minus call IV
IV butterfly
– pp
front-window smile convexity
Volume / open interest
0.02
6,660 contracts traded
Normalized net delta
0.316
option-holder convention
Modeled dealer delta
-0.310
opposite-side scenario
Vanna / 100k OI
561
volatility-sensitive delta
Charm / 100k OI
-128,806
time-decay-sensitive delta
IV surface range
100.1 pp
published contour maximum minus minimum

Strongest relative signals: 14d expected move +14.3% · front IV premium 3.7 pp · 25Δ risk reversal 22.0 pp

Download the complete dated analysis JSON .

KOS closed 12.3% below its gamma max of 2.82. It is 24.9% above the delta neutral price of 1.88. Total open interest is 282,393, -0.2% versus the previous session. Its options catalyst-intensity score is 66.7 out of 100, led by 14d expected move +14.3%, front IV premium 3.7 pp, 25Δ risk reversal 22.0 pp. What gamma max means · What delta neutral means

Call versus put open interest changes

Growth compares outstanding contracts on each side. A positive growth gap favors calls; a negative gap favors puts. Standardized surprises compare each measure with its own prior history. These describe the OI balance, not IV skew or buying direction.

KOS call and put open interest changes
Measure Value
Call OI change, 1 session -93 contracts · -0.0%
Put OI change, 1 session -525 contracts · -0.8%
Call minus put OI growth, 1 session +0.7 pp
Call OI change, 5 sessions +4,069 contracts · +1.9%
Put OI change, 5 sessions +1,162 contracts · +1.8%
Call minus put OI growth, 5 sessions +0.2 pp
Daily call OI change surprise -0.05σ (252 prior changes)
Daily put OI change surprise -0.21σ (252 prior changes)
Daily call-minus-put growth surprise +0.21σ (252 prior changes)

History

2025-10 2026-10
close delta neutral gamma max
Full history since 2020: drag to pan, scroll to zoom, hover for values. Open full-screen chart

Analysis visualizations

Derived from the 2026-10-02 options chain. Select an analysis to explore its chart.

Gamma walls

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What followed prior gamma-max crosses?

Each historical path starts at 0% on the cross date and follows the close for ten subsequent trading sessions. Cohorts use the same direction as labelled and require gamma max to be within 10% of the close on both crossing sessions.

Crosses below gamma max 55 completed Day +10 paths · latest Sep 16, 2026
KOS returns after crossing below gamma max Historical close-to-close return paths from Day 0 through Day 10, with the median, middle fifty percent, and a nominal confidence interval for the median. -24.0% -12.0% 0% +12.0% +24.0% Cross on Dec 14, 2020 Cross on Jul 15, 2021 Cross on Aug 9, 2021 Cross on Aug 30, 2021 Cross on Sep 1, 2021 Cross on Sep 7, 2021 Cross on Sep 14, 2021 Cross on Sep 16, 2021 Cross on Sep 21, 2021 Cross on Jan 26, 2022 Cross on Feb 2, 2022 Cross on Feb 7, 2022 Cross on Feb 14, 2022 Cross on Mar 28, 2022 Cross on Apr 21, 2022 Cross on Apr 29, 2022 Cross on May 9, 2022 Cross on Jun 15, 2022 Cross on Aug 30, 2022 Cross on Feb 2, 2023 Cross on Feb 15, 2023 Cross on Feb 28, 2023 Cross on Mar 6, 2023 Cross on Apr 18, 2023 Cross on Aug 2, 2023 Cross on Aug 18, 2023 Cross on Oct 2, 2023 Cross on Oct 4, 2023 Cross on Nov 15, 2023 Cross on Feb 28, 2024 Cross on Apr 15, 2024 Cross on Jan 21, 2025 Cross on Feb 4, 2025 Cross on Oct 16, 2025 Cross on Nov 6, 2025 Cross on Jan 7, 2026 Cross on Feb 18, 2026 Cross on Mar 11, 2026 Cross on Mar 17, 2026 Cross on Apr 1, 2026 Cross on Apr 8, 2026 Cross on Apr 14, 2026 Cross on Apr 16, 2026 Cross on May 14, 2026 Cross on Jun 11, 2026 Cross on Jun 18, 2026 Cross on Jun 26, 2026 Cross on Jul 20, 2026 Cross on Jul 27, 2026 Cross on Aug 3, 2026 Cross on Aug 10, 2026 Cross on Aug 12, 2026 Cross on Aug 24, 2026 Cross on Aug 28, 2026 Cross on Sep 16, 2026 Day 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10
prior crosses middle 50% of outcomes nominal ≥90% median interval median
KOS historical gamma-max cross outcomes after closing below
Horizon n Median Middle 50% Above zero Nominal ≥90% median interval Confidence floor
Day +1 55 +0.7% -2.5% to +2.6% 51% -1.0% to +1.4% 0.0%
Day +2 55 -0.7% -5.1% to +3.1% 44% -2.8% to +1.6% 0.0%
Day +3 55 +0.3% -5.4% to +5.1% 53% -1.4% to +2.0% 0.0%
Day +4 55 +0.8% -4.8% to +6.3% 51% -2.1% to +3.0% 0.0%
Day +5 55 +0.9% -5.3% to +6.1% 53% -2.7% to +3.6% 0.0%
Day +6 55 +1.0% -4.8% to +9.1% 55% -2.5% to +3.3% 0.0%
Day +7 55 +2.4% -4.8% to +9.5% 53% -1.4% to +6.5% 0.0%
Day +8 55 +0.8% -7.8% to +10.7% 53% -1.4% to +4.2% 0.0%
Day +9 55 +1.4% -6.4% to +9.3% 55% -2.8% to +7.2% 0.0%
Day +10 55 +2.9% -4.2% to +12.1% 62% -0.3% to +6.2% 0.0%
Crosses above gamma max 55 completed Day +10 paths · latest Sep 15, 2026
KOS returns after crossing above gamma max Historical close-to-close return paths from Day 0 through Day 10, with the median, middle fifty percent, and a nominal confidence interval for the median. -26.0% -13.0% 0% +13.0% +26.0% Cross on Aug 27, 2021 Cross on Aug 31, 2021 Cross on Sep 2, 2021 Cross on Sep 13, 2021 Cross on Sep 15, 2021 Cross on Sep 17, 2021 Cross on Sep 22, 2021 Cross on Jan 25, 2022 Cross on Feb 1, 2022 Cross on Feb 3, 2022 Cross on Feb 24, 2022 Cross on Mar 25, 2022 Cross on Mar 31, 2022 Cross on Apr 28, 2022 Cross on May 3, 2022 Cross on May 20, 2022 Cross on Aug 29, 2022 Cross on Jan 13, 2023 Cross on Feb 10, 2023 Cross on Feb 27, 2023 Cross on Mar 3, 2023 Cross on Apr 3, 2023 Cross on Aug 1, 2023 Cross on Aug 3, 2023 Cross on Sep 27, 2023 Cross on Oct 3, 2023 Cross on Nov 14, 2023 Cross on Feb 27, 2024 Cross on Apr 10, 2024 Cross on Apr 16, 2024 Cross on Jan 17, 2025 Cross on Jan 29, 2025 Cross on Feb 3, 2025 Cross on Feb 5, 2025 Cross on Nov 5, 2025 Cross on Nov 10, 2025 Cross on Jan 12, 2026 Cross on Jan 28, 2026 Cross on Mar 13, 2026 Cross on Mar 18, 2026 Cross on Apr 2, 2026 Cross on Apr 13, 2026 Cross on Apr 15, 2026 Cross on Apr 22, 2026 Cross on May 15, 2026 Cross on Jun 12, 2026 Cross on Jun 25, 2026 Cross on Jul 9, 2026 Cross on Jul 21, 2026 Cross on Jul 30, 2026 Cross on Aug 7, 2026 Cross on Aug 11, 2026 Cross on Aug 14, 2026 Cross on Aug 27, 2026 Cross on Sep 15, 2026 Day 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10
prior crosses middle 50% of outcomes nominal ≥90% median interval median
KOS historical gamma-max cross outcomes after closing above
Horizon n Median Middle 50% Above zero Nominal ≥90% median interval Confidence floor
Day +1 55 -0.9% -3.2% to +1.4% 38% -1.7% to +0.1% 0.0%
Day +2 55 -1.1% -3.4% to +2.9% 40% -1.6% to +0.7% 0.0%
Day +3 55 -1.7% -5.0% to +2.8% 45% -3.8% to +1.2% 0.0%
Day +4 55 -0.9% -6.1% to +3.9% 45% -3.6% to +2.1% 0.0%
Day +5 55 -2.0% -6.5% to +3.5% 40% -4.3% to +1.0% 0.0%
Day +6 55 0.0% -8.3% to +5.0% 49% -4.1% to +3.2% 0.0%
Day +7 55 -0.7% -8.4% to +6.9% 45% -2.6% to +2.6% 0.0%
Day +8 55 +1.1% -7.0% to +10.7% 53% -0.6% to +6.0% 0.0%
Day +9 55 +0.5% -7.4% to +9.4% 51% -1.7% to +4.5% 0.0%
Day +10 55 +1.1% -7.2% to +9.0% 53% -4.0% to +6.1% 0.0%

Returns are close-to-close after the labelled number of subsequent trading sessions. The confidence floor is the closest-to-zero bound of the order-statistic median interval; it is zero when that interval spans zero. Its coverage is nominally at least 90% under independent observations. Historical paths can overlap, so the interval and floor are descriptive uncertainty guides rather than formal coverage guarantees. Historical, not a forecast.

Last 252 sessions

KOS trailing historical statistics
Sessions closed above gamma max 58%
Gamma max crosses 65
Delta neutral crosses 0
Prior-year sessions closer to gamma max 73.8% of 252
Prior-year sessions closer to delta neutral 10.3% of 252
Open interest percentile (1y) 77th
Daily open interest change versus prior year -0.09σ (-618 contracts; 252 prior changes)
Open interest change, 5 sessions +1.9%
Open interest change, 21 sessions +12.2%
History available Dec 4, 2020 → Oct 2, 2026

Recent crosses

  1. closed below gamma max at 2.87 vs 2.97 (-3.5%)
  2. closed above gamma max at 3.09 vs 3.01 (+2.4%)
  3. closed below gamma max at 2.76 vs 2.87 (-4.1%)
  4. closed above gamma max at 2.87 vs 2.82 (+1.8%)
  5. closed below gamma max at 2.86 vs 2.92 (-2.2%)
  6. closed above gamma max at 2.54 vs 2.52 (+0.9%)
  7. closed below gamma max at 2.51 vs 2.56 (-2.1%)
  8. closed above gamma max at 2.56 vs 2.51 (+2.0%)
  9. closed below gamma max at 2.51 vs 2.56 (-2.1%)
  10. closed above gamma max at 2.48 vs 2.46 (+1.0%)

In today's screens

Neighbours by open interest

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Canonical source: https://halfonadouble.com/stock/KOS

Questions people ask about KOS

Where is KOS's gamma max today?

As of Oct 2, 2026, the gamma max for KOS is 2.82, +12.3% from the 2.51 close. Gamma max is the underlying price at which the summed gamma of every open contract is largest; how it is computed and why it matters.

Is KOS above or below its delta neutral price?

KOS closed above delta neutral: 2.51 against a delta neutral price of 1.88. The delta neutral price is where the summed delta of the whole chain is zero; the definition.

How much open interest does KOS have?

282,393 contracts of open interest across 67 listed contracts on Oct 2, 2026, -0.2% versus the previous session. What open interest measures.

Levels are recomputed after every trading day from licensed end-of-day options data; only derived aggregates are published. Methodology · Data and licence · Not investment advice.