{"schema_version":1,"publisher":"Half on a Double","data_through":"2026-10-02","frequency":"end-of-day","methodology":"market-implied-carry-v1","generation":"market-implied-carry-analytics-20260917T000000Z","canonical_url":"https://halfonadouble.com/stock/KORU","markdown_url":"https://halfonadouble.com/stock/KORU.md","history_url":"https://halfonadouble.com/api/v1/history/KORU.csv","advanced_analysis_url":"https://halfonadouble.com/api/v1/analysis/KORU.json?date=2026-10-02","definitions_url":"https://halfonadouble.com/methodology.md","license_url":"https://halfonadouble.com/terms.md","disclaimer_url":"https://halfonadouble.com/disclaimer.md","symbol":"KORU","page_tier":"A","units":{"prices":"USD per share","open_interest":"option contracts","gamma_exposure":"modeled dollar-delta change per USD 1 underlying move","gamma_exposure_normalized":"modeled gamma exposure per 100,000 open option contracts","distances":"percent of close","forward_outcomes":"close-to-close percent return"},"snapshot":{"close":22.950000762939453,"previous_close":21.09000015258789,"delta_neutral":20.55124903315462,"gamma_neutral":21.974204174032714,"gamma_max":27.66160163770389,"total_open_interest":323228,"previous_open_interest":366867,"listed_contracts":1082,"listed_calls":726,"listed_puts":536,"gamma_max_distance_pct":20.52985062367802,"delta_neutral_distance_pct":-10.452076906500286,"gamma_neutral_distance_pct":-4.251836847354242,"open_interest_change_1d_pct":-11.895046433721213,"call_open_interest":167467,"put_open_interest":155761,"put_call_open_interest_ratio":0.9300996614258331,"nearest_expiration_max_pain":21.5,"nearest_expiration_max_pain_expiry":"2026-10-09","nearest_expiration_max_pain_distance_pct":-6.31808590299034,"all_expiration_max_pain":21,"net_gamma_exposure":1167237.358367484,"net_gamma_exposure_per_100k_open_interest":361118.8877100635,"gamma_exposure_flip":21.974204174032714,"gamma_exposure_flip_distance_pct":-4.251836847354242,"call_wall":25,"call_wall_distance_pct":8.932458252336813,"put_wall":18,"put_wall_distance_pct":-21.568630058317495,"gamma_max_cross_direction":null,"delta_neutral_cross_direction":null,"open_interest_rank":287},"history_summary":{"first_date":"2020-12-02","last_date":"2026-10-02","session_count":1390,"trailing_window_sessions":252,"sessions_above_gamma_max_pct":9.523809523809524,"gamma_max_cross_count":21,"delta_neutral_cross_count":40,"gamma_max_prior_sessions_closer_pct":41.269841269841265,"gamma_max_prior_comparison_sessions":252,"delta_neutral_prior_sessions_closer_pct":47.22222222222222,"delta_neutral_prior_comparison_sessions":252,"open_interest_percentile_1y":79.76190476190477,"open_interest_change_1d_contracts":-43639,"open_interest_change_z_252":-0.9228848191841504,"open_interest_change_z_comparison_sessions":252,"open_interest_change_5_sessions_pct":1.0163262244668352,"open_interest_change_21_sessions_pct":-27.52897917087061,"call_put_open_interest_changes":{"one_session":{"call_change_contracts":-12652,"put_change_contracts":-30987,"call_growth_pct":-7.024245082417735,"put_growth_pct":-16.59294878660012,"call_minus_put_growth_pp":9.568703704182386},"five_sessions":{"call_change_contracts":5137,"put_change_contracts":-1885,"call_growth_pct":3.164541366352492,"put_growth_pct":-1.1957169861588621,"call_minus_put_growth_pp":4.360258352511354},"call_change_surprise":{"z_score":-0.990804273020538,"comparison_sessions":250},"put_change_surprise":{"z_score":-2.1735944508553064,"comparison_sessions":250},"call_minus_put_growth_surprise":{"z_score":null,"comparison_sessions":146}}},"advanced_options":{"data_through":"2026-10-02","analysis_coverage":1,"catalyst_score":60.85848152832838,"directional_score":-35.43307086614173,"catalyst_reasons":["7d expected move +16.6%","smile convexity -12.8 pp","volume/OI 0.09"],"features":{"symbol":"KORU","price":22.95,"totalOi":376770,"analysisCoverage":1,"avgIvPct":203.7,"ivRank":45.2,"iv52wHighPct":286.8,"iv52wLowPct":135.06,"frontDte":7,"frontAtmIvPct":119.8686,"backAtmIvPct":123.2544,"termPremiumPp":-3.3858,"expectedMoveFrontPct":16.6,"straddleFrontPct":12.42,"straddle30dPct":27.45,"riskReversalFrontPp":17.38,"riskReversal30dPp":8.92,"butterflyFrontPp":-12.83,"butterfly30dPp":3.79,"putCallOiRatio":1.041,"putCallOiFrontRatio":2.183,"putCallVolumeFrontRatio":1.027,"optionVolume":34673,"volumeOiRatio":0.092027,"netDeltaNormalized":0.121545,"dealerDeltaNormalized":-0.11662,"gexPer100kOi":616865.461688,"vannaPer100kOi":1721.47464,"charmPer100kOi":-291877.272607,"weekendDeltaShiftPer100kOi":-875631.552406,"ivSurfaceRangePp":59.4,"gammaFlipDistancePct":-0.217865,"maxPainDistancePct":-8.496732,"peakCallDistancePct":8.932462,"peakPutDistancePct":-12.854031},"complete_analysis_url":"https://halfonadouble.com/api/v1/analysis/KORU.json?date=2026-10-02","interpretation":"Catalyst intensity ranks unusual option pricing and activity; it does not identify the event, predict direction or recommend a trade. Directional score summarizes relative positioning under documented model conventions."},"gamma_max_cross_outcomes":[{"direction":"above","event_count":33,"completed_path_count":33,"latest_cross_date":"2026-08-13","horizons":[{"sessions":1,"sample_size":33,"median_return_pct":0.538262449567739,"p25_return_pct":-2.6666683620876763,"p75_return_pct":3.582666407736368,"above_zero_pct":54.54545454545454,"median_interval_low_pct":-1.3041559033997951,"median_interval_high_pct":2.745992876467307,"median_interval_nominal_coverage_pct":91.98566875420511,"confidence_floor_pct":0},{"sessions":3,"sample_size":33,"median_return_pct":0.6865657977203732,"p25_return_pct":-2.6768175832806884,"p75_return_pct":4.444439996580907,"above_zero_pct":57.57575757575758,"median_interval_low_pct":-2.4096362008327765,"median_interval_high_pct":3.5868730555937534,"median_interval_nominal_coverage_pct":91.98566875420511,"confidence_floor_pct":0},{"sessions":5,"sample_size":33,"median_return_pct":0.4819272401665575,"p25_return_pct":-3.6887388368547103,"p75_return_pct":6.606789555432768,"above_zero_pct":51.515151515151516,"median_interval_low_pct":-2.620090319613877,"median_interval_high_pct":4.474708658518822,"median_interval_nominal_coverage_pct":91.98566875420511,"confidence_floor_pct":0},{"sessions":10,"sample_size":33,"median_return_pct":-1.544581920155963,"p25_return_pct":-9.27360482052918,"p75_return_pct":6.4391182739875985,"above_zero_pct":48.484848484848484,"median_interval_low_pct":-6.622520460049941,"median_interval_high_pct":2.152997320188277,"median_interval_nominal_coverage_pct":91.98566875420511,"confidence_floor_pct":0}]},{"direction":"below","event_count":33,"completed_path_count":33,"latest_cross_date":"2026-05-07","horizons":[{"sessions":1,"sample_size":33,"median_return_pct":2.246624264425745,"p25_return_pct":-0.2525250092658138,"p75_return_pct":4.377646999647911,"above_zero_pct":69.6969696969697,"median_interval_low_pct":0.4126315251580248,"median_interval_high_pct":3.257162302093164,"median_interval_nominal_coverage_pct":91.98566875420511,"confidence_floor_pct":0.4126315251580248},{"sessions":3,"sample_size":33,"median_return_pct":1.1312152270284148,"p25_return_pct":-2.658108597777653,"p75_return_pct":4.338248284555202,"above_zero_pct":51.515151515151516,"median_interval_low_pct":-1.0762321943011854,"median_interval_high_pct":3.469793664498444,"median_interval_nominal_coverage_pct":91.98566875420511,"confidence_floor_pct":0},{"sessions":5,"sample_size":33,"median_return_pct":0.458299810500562,"p25_return_pct":-6.746992852383515,"p75_return_pct":7.147104170084151,"above_zero_pct":51.515151515151516,"median_interval_low_pct":-3.4858244140746897,"median_interval_high_pct":5.100462539417072,"median_interval_nominal_coverage_pct":91.98566875420511,"confidence_floor_pct":0},{"sessions":10,"sample_size":33,"median_return_pct":0.4674006979674461,"p25_return_pct":-8.541673082444145,"p75_return_pct":11.119979484458732,"above_zero_pct":51.515151515151516,"median_interval_low_pct":-6.740721282611517,"median_interval_high_pct":4.797981196721568,"median_interval_nominal_coverage_pct":91.98566875420511,"confidence_floor_pct":0}]}],"missing_value_semantics":"null means unavailable; it never means zero","interpretation":"These are descriptive end-of-day model outputs. Signed GEX uses the published call-positive, put-negative convention and is not observed dealer inventory. None of the fields are live prices, predictions or investment advice."}