{"schema_version":1,"publisher":"Half on a Double","data_through":"2026-10-16","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=2026-10-16&public_schema=4","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":10.640000343322754,"previous_close":12.010000228881836,"delta_neutral":14.052868214088143,"gamma_neutral":4.181687208817986,"gamma_max":23.486577269756246,"total_open_interest":354756,"previous_open_interest":386665,"listed_contracts":1293,"listed_calls":797,"listed_puts":590,"gamma_max_distance_pct":120.73850105179271,"delta_neutral_distance_pct":32.075824818061875,"gamma_neutral_distance_pct":-60.698429756703455,"open_interest_change_1d_pct":-8.252363156737745,"call_open_interest":197174,"put_open_interest":157582,"put_call_open_interest_ratio":0.7992027346404699,"nearest_expiration_max_pain":18,"nearest_expiration_max_pain_expiry":"2026-10-23","nearest_expiration_max_pain_distance_pct":69.17292687209444,"all_expiration_max_pain":20,"net_gamma_exposure":243901.85157416647,"net_gamma_exposure_per_100k_open_interest":68752.00181932552,"gamma_exposure_flip":4.181687208817986,"gamma_exposure_flip_distance_pct":-60.698429756703455,"call_wall":14,"call_wall_distance_pct":31.57894312274012,"put_wall":12,"put_wall_distance_pct":12.781951248062962,"gamma_max_cross_direction":null,"delta_neutral_cross_direction":null,"open_interest_rank":259},"history_summary":{"first_date":"2020-12-02","last_date":"2026-10-16","session_count":1400,"trailing_window_sessions":252,"sessions_above_gamma_max_pct":8.73015873015873,"gamma_max_cross_count":17,"delta_neutral_cross_count":41,"gamma_max_prior_sessions_closer_pct":89.28571428571429,"gamma_max_prior_comparison_sessions":252,"delta_neutral_prior_sessions_closer_pct":94.84126984126983,"delta_neutral_prior_comparison_sessions":252,"open_interest_percentile_1y":79.76190476190477,"open_interest_change_1d_contracts":-31909,"open_interest_change_z_252":-0.6817963806881661,"open_interest_change_z_comparison_sessions":252,"open_interest_change_5_sessions_pct":8.756138984775932,"open_interest_change_21_sessions_pct":-22.95048498564373,"call_put_open_interest_changes":{"one_session":{"call_change_contracts":-1935,"put_change_contracts":-29974,"call_growth_pct":-0.9718295004243908,"put_growth_pct":-15.981360233743521,"call_minus_put_growth_pp":15.00953073331913},"five_sessions":{"call_change_contracts":33075,"put_change_contracts":-4513,"call_growth_pct":20.155515877610465,"put_growth_pct":-2.7841697769826337,"call_minus_put_growth_pp":22.9396856545931},"call_change_surprise":{"z_score":-0.12117183648425711,"comparison_sessions":250},"put_change_surprise":{"z_score":-2.0641500116382163,"comparison_sessions":250},"call_minus_put_growth_surprise":{"z_score":null,"comparison_sessions":156}}},"advanced_options":{"data_through":"2026-10-16","analysis_coverage":1,"catalyst_score":76.30917848566679,"directional_score":-27.07413270371066,"catalyst_reasons":["front IV premium 36.1 pp","smile convexity 25.3 pp","IV rank 100"],"features":{"price":10.64,"totalOi":423141,"analysisCoverage":1,"avgIvPct":386.9,"ivRank":100,"iv52wHighPct":386.9,"iv52wLowPct":132.8,"frontDte":7,"termPremiumPp":36.129,"riskReversalFrontPp":9.98,"riskReversal30dPp":1.59,"butterflyFrontPp":25.3,"butterfly30dPp":2.01,"putCallOiRatio":0.861,"putCallOiFrontRatio":1.588,"putCallVolumeFrontRatio":1.264,"optionVolume":33731,"volumeOiRatio":0.079716,"netDeltaNormalized":-0.171429,"dealerDeltaNormalized":0.169282,"gexPer100kOi":19003.556734,"vannaPer100kOi":2216.518844,"charmPer100kOi":595798.327272,"weekendDeltaShiftPer100kOi":1787395.218142,"ivSurfaceRangePp":84.3,"gammaFlipDistancePct":319.830827,"maxPainDistancePct":78.571429,"peakCallDistancePct":12.781955,"peakPutDistancePct":3.383459},"complete_analysis_url":"https://halfonadouble.com/api/v1/analysis/KORU.json?date=2026-10-16&public_schema=4","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."}