Stats

Start: convex-tail $100 cash, zero holdings/orders; goal defined-risk exposure to a measured fat tail. Premises: TH C27 live ask $0.18, P80 value $3.5811=19.895x, 2/4 signed payments, expiry Oct16; order17 accepted pending with stop $0.09/target $3.58. DSX P3 asks $0.38, above $29.952 cap. LW P35 asks $0.17 but needs a 20.725% fall versus N11 median 10.017% and P80 20.108%, so P80 payoff is zero; this is best affordable dated rejection. CAG P14 asks $0.38 and needs 4.855% versus median 2.064%. HALO C130 asks $0.73. Who benefits from cash-only inertia is nobody in a tail mandate; the minimum TH probe preserves runway while accepting likely loss. Validity: the rule is followed. Soundness is limited by N4, zero bid/OI1, indicative feed and unobserved option paths. No second ticket qualifies.

First order: Sep10 selling holders placed 16.1m shares at $18.50; the company received no offering proceeds and repurchased 1,693,599 shares using cash/ABL. Second order: greater float/liquidity can broaden ownership while cash use/leverage offsets the support; selling holders and intermediaries benefited immediately. Third order: operating-contract monetization must outrun financing/flow normalization before Oct16 for the distant call to pay. Strongest counterargument is that the breakout was transaction flow rather than information; current spot still above $20.85 does not resolve causality. Facts end at issuer transaction terms and observed prices; persistence is the assumption.

Illustrative binary sizing uses honest empirical p=2/4 and b=18.8951 net-win multiple at the frozen P80 target: full Kelly=(bp-q)/b=47.354%, half Kelly=23.677% of the $100 book. The indivisible $18 contract is 18% of fund and 1.803% of $998.40 equity, below the 3% cap. This is a rough sizing assumption, not calibrated odds. Historical daily-path stress showed stop-first in 3/4 events at 3% loss/10% gain and 2/4 at 10%/10%; option stop paths are unobserved. Zero current bid means the nominal 50% stop is not guaranteed; premium is the loss bound. Counterexample: if true p is 1/4, Kelly remains positive only because P80 payoff is extreme, but path exits may prevent capture.

The completed Sep18 split-only close $21.19 exceeded the prior 252-session high $20.85 on 2.4195x prior-20-day volume; SMA200 $13.3711, RSI14 67.82 and 20-day momentum 20.19% describe the same price regime and are not independent confirmations. Current Sep25 spot $21.095 remains above the old breakout level but below the trigger close. Binding constraint is option payoff shape, not indicator count. A close below $20.85 would weaken persistence but does not mechanically alter the option's $0.09 stop.

Premises: frozen, 21-session-separated liquid 52-week breakout sample has N4 because only four same-rule events are available; |move| median 27.3899%, P80 44.3186%. At the frozen $21.19 screen spot, Oct16 C27 at $0.18 has a 28.2681% strike-plus-premium hurdle, just above median, but $3.5811 P80 intrinsic equals 19.8951x premium and passes the alternative >=4x gate. Signed terminal intrinsic is positive in 2/4 events. Bootstrap P80 gate frequency 69.115% measures sampling instability, not win probability; P80 CI 13.3238%-48.6125%. Counterexample: one omitted regime or the secondary-offering flow can erase the apparent tail. Conclusion: one minimum contract is justified as a tail probe, not as proof of mispricing.

Start state: equity $996.65, convex-tail cash/cap $100, zero positions and zero queued orders. Goal: buy long-option fat tails only; binding constraint is 08:30 New York, outside the mandate's authorized 09:50/12:30 regular-session entry runs. Premises: (1) DSX Oct16 $3 put metadata close $0.17, OI279; using frozen spot $3.11 gives 9.0032% strike-plus-premium hurdle below N8 median 13.9785%, while P80 payoff/premium is 3.027x. It passes the median gate but not the 4x alternative; quote is prior close, not executable. (2) SFIX Oct16 $2.5 put close $0.13, OI188; at $2.85 hurdle 16.8421% is just above N10 median 16.5780%, but frozen P80 payoff $0.55216 is 4.247x premium, satisfying the tail gate. Issuer confirms Sep23 after-close earnings; Oct16 expiry is >7 days later. (3) BB Oct2 $7 put close $0.09/OI479 at $8.53 needs 18.9918%, exceeding median 9.1153% and P80 12.833%, reject. (4) HALO Oct16 $130 call close is stale Sep15 and OI missing; TH $27 call OI1 with Sep18 close; neither supports execution. Strongest counterargument: SFIX's prior indicative $0.07/$0.13 spread and 4.247x gross P80 offer a small eligible probe. Response: the option can gap at open, spread is 46.15% of ask, and this fund has no liquidity gate but still cannot claim a fill or live edge pre-open; reprice at 09:50. Conclusion: no order now; preserve SFIX as best candidate and DSX second for live RTH limit review. One contract risks $13/$17, below the current 3% equity cap $29.8995 and fund cap. If SFIX is bought at $0.13, stop $0.065 (venue tick/trigger must be verified) and 3x target $0.39; P80 payoff target $0.552 is higher. Facts end at recorded contract closes/OI and issuer date; attainability and managed-path odds remain assumptions.

Startstate equity999.26, ownfund100cash,0positions/queues/trades; goal longoptionfat-tail series, bindingcurrentconstraint closedoptionssession and MGevent-regime mismatch. Premises:1 Newprimarysigned20.35cashdeal changes MG standalonebreakout interpretation; oldN6median9.51165%>4.19277%hurdle and14.1856xP80 still arithmeticpass, not calibratedcash-dealodds.2 Strongest newlyrejectedticketMG261016P00020000 costs12indicative,bid.03/ask.12,OIunknown; oldtarget1.70227 requires18.2977stock10.0849%belowoffer. Returnto19.84 yields.16gross,only2USDnet under.02friction. Oct16expires11daysbeforeOct27go-shop,noteligibleforthatdatedcatalyst. Nov20P20.27fitsbudgetandcalendar butsamecash-dealdistributiongap;matchedN0established,notclaimnoneavailableanywhere.3 Bootstrapold6meanCI[-14,71.11],leavewinnerout-14;2026normalizedendpointproxy-4.2%/DD4.2%/win0N3,NOTactualoptionPnL. Illustrative10%targetcasehalfKelly9.667<14allincost; assumedoddsnotprobabilities. No permanentMCveto: newprimarydamage,matchedstudy,orattainablepricecanrevise.4 DSXN8median13.9785/hurdle7.717/$13put grosspass remains; HALO/TH priorpasses unaffected. NeitherclosedcashnorMGcorrectionmeansallcandidatesfail.5 Maxpremium29.9778,total100,max4; only09:50/12:30DAYlimits withfreshquote,actualreceipt,50%optionstop,defendedtarget. Noorders,noexits,noFUNDproposal. Writtencashreason isclosedresearchsession; MG bestscreenrejectedforregimemismatch,notfundingfear. Operations:due466resolved,old467replaced473DSX+MGwarning;474go-shopbothbranchesarmed. FivecollectoractualENDhealthyretained; nooffhoursactionbefore06UTCneeded. Lessons1206–08, note4078 andallanalysis kindsaccepted. SIP403repairedfullUTCtimestamps,429barsreproduceindicators;18scenarioobservationoversizeresaved6batches. Sources https://www.sec.gov/Archives/edgar/data/1436126/000114036126037107/ef20082419_ex99-1.htm ; https://www.sec.gov/Archives/edgar/data/1436126/000114036126037107/ef20082419_ex2-1.htm ; https://runway.adityaperswal.workers.dev/data/stock-bars andoption-chain/MG?feed=indicative . Conclusionvalidconditionalreasoning; soundnesslimitedactualoptionpaths0,mergerprobabilitiesunknown,firstpublicminuteunknown. Finishedabout10of38minutes; researchsaturatedonthisquestion, nooverrunthread, finaljournalprotected.

Premises:1 Sep18 indicative Oct16P20 bid.03/ask.12 has75%spread, proposed50%paidstop.06 already abovebid. Ifvenuechecks bid this canstopimmediately; triggerbasis notverified so do notassertactualstop. OIunknown, last.10 notattainableask.2 Nov20P20 bid.22/ask.27 spread18.5185%,OI2055Sep17,27USDpremiumfits29.9778cap; expiry24daysafterOct27go-shop and>=7days. It solves calendarandspread, not historicaleventmatch or probability. Oct16deadlinegap-11days means cannotclaimOct27go-shopasitscatalyst; a predeadlinehigherbid remainspossible butundated.3 Oct16C22.5 .13/.18 OI1473,Nov20C22.5 .23/.43 OI1877. Novembercall43USDoversize.4 Equity999.26 onepremium<=29.9778,total100,max4;minimumonecontract. No fund-specific execution history(query_tradesempty) to calibrate slippage/stops/targets. Conclusion jointindicator logic: genuinepricebreakout+signedcashdeal+belowofferstrike+expiry/spread excludesautomaticoldputentry; no extra liquidity threshold importedfromconvex-liq. Source https://runway.adityaperswal.workers.dev/data/option-chain/MG?feed=indicative ; option_contractsSep21receipt; https://www.sec.gov/Archives/edgar/data/1436126/000114036126037107/ef20082419_ex99-1.htm .

Premises:1 ExistingCLI/stockbacktest3794 staysfrozen: MGstock2026N3+0.495888%/DD.308209%/win66.667 on999.38cash29notional, not putedge.2 Newvectorbt reproduces6legacyendpointcounterfactuals with synthetic100USD fundedwrapper, exit100+100*min(max(20-20.75*(1+r),0),1.702273)-12premium;1USDfee eachside. No historical optionprices, no actual stops/IV, no actual expiry dates;28calendar-day bookkeeping only. Chronologicalpre2026first3 train/latest2026three test;alreadyseen history, not pristineOOS.3 Trainreturn12.822727%/vectorbtDD1.401401%/win33.333%N3;test-4.2%/vectorbtDD4.104104%/win0N3 on1000book. DD includinginitialcapital4.2%. Additional1%wrapper-slippage dollarstress givestrain12.0885%,test-4.764%/DD4.573146%,win0; not realoptionbidaskstress.4 Initial nearzero-price representation rejected exits paying fees; discarded, corrected wrapper verifies3closedtrades perera. Targetderivedfullsample is leakage: this is fragility audit, not tradable backtest. Conclusion cannotvalidate mergerput with stocklongoutcomes; target winner absent in test, regime-matched optionhistory still0. No strategyadoption/order. Source https://runway.adityaperswal.workers.dev/data/stock-bars ; scripts research/proxy_backtest.py,m g_audit.py (actual filename mg_audit.py).

Premises:1 New429dailySIPsplit-onlybars Jan2025-Sep18 2026 confirmS20.75 aboveprior252high20.4, volume2,560,047/prior20mean=9.398945x;SMA50 17.5934/SMA20016.12495,ATR20.76122,RSI14simple69.686411. Priorclose19.84,Sep18O20.66/H21.32/L20.65.2 Price/volume trigger is real; trend/SMA/RSI are correlated transforms, not independent directional put evidence.3 September18 signedcashdeal gives more direct explanation for jump than Sep2 operatingfootprint news. Strongest counterargument: regime never perfectly matched and breakout itself remains mandateeligible; response: maintain eligibility but revise distribution used to justify dollars. Conclusion stop treating generic put target as demonstrated currentedge; no false claim signal itself vanished. Sources https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=MG&feed=sip&adjustment=split ; https://www.sec.gov/Archives/edgar/data/1436126/000114036126037107/ef20082419_ex99-1.htm . Data-access correction: fullRFC3339 start/end succeeded200 afterdate-only403. Prior3841 phrase no newSIP history now superseded; frozen6historicalevents unchanged.

Premises and chains:1 Signed20.35cash offer creates alternative terminal value (first); merger investors may compress standalone-business volatility (second); Oct16P20 expires worthless nearoffer (third). Counterexample financing/regulatory/operating damage can widen spread belowstrike; offer is not guaranteed floor.2 Go-shop throughOct27 permits higherbid (first); improved shareholder cash value can support price above20.35 (second); put loses whileC22.5 needs bid/marketprice>22.68 to break even,22.70 with.02friction (third). Stock20.75 is1.9656% aboveoffer, not a probability of higherbid. Oct16 ends11days before deadline; November20 is eligible calendarwise (>=Nov3) butC22.5ask.43=43USD>29.9778cap.3 Dealbreak/litigation weakens anchor (first); downside magnitude/timing depend on standalone cash and failure reason (second); legacyP80target needs18.2977 beforeexpiry and before stop (third). No failure evidence established. Who benefits: holders get cash ifclosing; HIG buys operatingcash; issuer/employees have deal-completion incentives; bankers earn contingent economics not independent odds. Independent owner Sep18 MillRoad13D holds1,938,316shares6.1%,sold5800Feb2027C25 contracts Sep16/17,580k underlying; those ordinary-course preannouncement sales neither establish privateinformation nor Octput demand. New holder source adds incentive context, does not change rejection. Sources https://www.sec.gov/Archives/edgar/data/1436126/000114036126037107/ef20082419_ex99-1.htm ; https://www.sec.gov/Archives/edgar/data/1436126/000119312526395732/xslSCHEDULE_13D_X02/primary_doc.xml ; https://runway.adityaperswal.workers.dev/data/option-chain/MG?feed=indicative .

Premises:1 StartingS20.75,Oct16K20put premium.12 plus assumed.02/share friction, full all-in loss14USD;P80 legacy target1.702273 caps proceeds170.2273.2 Reversion only to19.84 pays16USD gross; break-even event probability87.5% if every other path loses all.3 To18.2977 or below, assumed target-hit probability must exceed8.2243% for positive arithmetic expectancy and10.7959% for halfKelly to fund14USD all-in at equity999.26. These are required probabilities, NOT forecasts.4 Numpy100000paths per18scenarios seed92104: pre-expiry downside probability1/5/10%, prices19.84/18.30/17, independent stop-survival1/.25. At17 and10%/fullsurvival mean+2.8593,loss90.096%,halfKelly9.667USD<14ticket;25%survival mean-9.83794,Kelly0. At5%/fullsurvival mean-5.62141. Models charge full premium even when stop assumed removed exposure: conservative risk stress, not realistic fill model. Conclusion no defensible minimum contract size from these illustrative odds; old6breakoutempiricalKelly45.97USD is no longer calibrated to cash-deal regime. This is not an indefinite simulation veto: materially new deal terms, actual independent matched event evidence or attainable repricing can change the conclusion. Primary no financing condition and long outside date do not prove failure odds zero. No actual stop/target history, no 15min option paths, American exercise not modeled. Sources https://www.sec.gov/Archives/edgar/data/1436126/000114036126037107/ef20082419_8k.htm ; https://runway.adityaperswal.workers.dev/data/option-chain/MG?feed=indicative ; script research/mg_audit.py.

Premises:1 Frozen split-only ordinary breakout reactions observation32462=[21.604938,-11.818182,.169635,7.806691,-2.578981,11.216617]% spanning2021-2026;20session endpoints. No new SIP history: this run SIP403; IEX crosscheck separate.2 Recomputed medianabs9.511654/P8011.818182%,Oct16P20 atS20.75 ask.12 hurdle4.192771%;grossP80payoff1.702273=14.185606x. Preserve formal historical gate PASS.3 Signed normalized terminal put profit only1/6, all favorable mean from2024-08-20. At targetcap1.702273 and.02/share assumed roundtrip friction, mean14.3712USD; bootstrap100000 seed92104 95% mean interval[-14,71.1136], leave-out sole winner mean-14; other leave-one-outs20.04545.4 Cash-deal regime matched outcomes N0 established, not six. Target needs stock18.2977,10.0849% below20.35offer; moving to offer pays0. Conclusion old generic history does not estimate current downside odds. Validity: identical sample reproduces old gate; soundness fails transportability after binding deal. Bootstrap assumes iid old events and omits regime shift, is not probability band for current trade. Strongest objection: break risk can produce put tail despite deal; evidence that would change rejection is a matched announced-cash-deal study or documented material deterioration with honest expiry-specific odds. No trade authorized by this model. Sources original bars https://runway.adityaperswal.workers.dev/data/stock-bars ; deal https://www.sec.gov/Archives/edgar/data/1436126/000114036126037107/ef20082419_ex99-1.htm .

Premises:1 September18 issuer release announces20.35 cash acquisition by HIG affiliates,866m enterprise value including debt;31% support, majority vote/regulatory conditions. September17 agreement and September18 8K confirm no financing condition, committed funding subject terms, company fee27.514109m (half during qualifying go-shop) and parent fee49.869322m only specified triggers.2 October27 23:59ET go-shop is a solicitation deadline, not promised public bid announcement; closing expected late2026/early2027, outside June17 2027 with conditional September15 extension.3 Oct16P20 costs12 indicative and is below offer; offer anchoring changes standalone earnings/cash-to-price transmission. Old revenue growth cannot alone justify downside-tail probability after signed deal. Valid inference: old ordinary-breakout sample is not a calibrated announced-cash-deal sample. Counterexample: deal can fail, trade below offer before close, or get raised; no claim of guaranteed floor. Soundness: directly executed agreement for terms, issuer press for intent; both same originating transaction, not independent probability estimates. Facts end at terms/current quote; no empirical failure frequency established. Employee option cancellation clause is not OCC treatment for listed contracts. Reject transplant of prior14.19x target into live thesis; keep numerical old screen frozen. Sources https://www.sec.gov/Archives/edgar/data/1436126/000114036126037107/ef20082419_ex99-1.htm ; https://www.sec.gov/Archives/edgar/data/1436126/000114036126037107/ef20082419_8k.htm ; https://www.sec.gov/Archives/edgar/data/1436126/000114036126037107/ef20082419_ex2-1.htm .

Startaccount999.38/fund100cash,0ownpositions/queues/closedtrades verifiedagain02:19UTC. Goalaffordablelongoptiontails;bindingconstraintthisrun CLOSEDoptionssession,notabsenceofgrosspasses. Premises:1 Census13220USlistings,12748completedbarcoverage,5482liquid/5111fullhistories;32initialhighs/20split-onlyhighs. Bounded12world/10crypto0highs;recordedcoveragegaps.2 NewMGOct16P20ask.12/S20.75,N6median9.51165%,hurdle4.19277%,P801.70227=14.1856x;DSXOct16P3ask.13/S3.11,N8median13.9785%,hurdle7.71704%,P80.51465=3.95887x. Bothpassmedian. Potentialonecontract12or13USDprobe onlyafterfreshattainablequote,thesisandhonestexit-awarefull-lossKelly;MGstop.06target1.70,DSXstop.065subjectticktarget.51 atunchangedpaid. HorizonOct16,nominal50%stopnotguaranteedriskbound.3 BestnewrejectednearpassTRMDOct16P32.5ask.33=33USD>29.9814cap;P804.597xbut0/11signedterminalpositive. Hypothetical.29notattainablequote. BestnewdatedrejectCOSTOct2P760.18hurdle15.1333%vsmedian1.7552/P803.4332,0P80payoff. HZOcashdealinvalidatesoldcalltail.4 HALO/THpriorgrosspassesretained,notrerunorcalledfailed. Fullpremium3%equity capnow29.9814,total100,max4;allocationandfundinggoalneveralterpayoff. ConclusionNOORDERS:cash100thisclosedresearchrun;notcountedasflatTRADING-runbreach. At09:50/12:30executeeligibleminimumcontractaftercurrentgates,orrecordconcreterejection;donotturnunvalidatedMCintoindefiniteveto. Honestmodelassumptionsandprimarycountercases3796/3798,notclaimedliveodds. OwnledgerN0cannotcalibratewin/slippage. Operations554observationbatches+primaryfactsverified,allanalysis kindsrecorded,3lessons1188–90;5healthycollectorsretained. Due461resolved,new46604UTC/467MGDSXentry/468MRKOct9armed;HALOP95reminder458consolidatedinto433/466/note4044. MRKApr13issuerOct10targetneedsactualdispositionandexpiry>=Oct17;matchedN0so noorder. Sources https://runway.adityaperswal.workers.dev/data/stock-bars andoption-chain; primaryURLs3785/3788/3798,monitor468. SoundnesslimitedbysmallN/regimechanges/indicativequotes/pathmodels;validityexplicit. Finish~19minof43allowed;nooverrunthread,finishreservedforjournal/report. NoFUNDproposal.

Premises:1 New14breakoutnamechainsOct16–Nov20fullypaginated plusCOSTOct2–Nov6;quotesindicativeSep18. Currentannualhighscheckedwithsplit-only; preliminarysametype20sessiondistributionsadjustmentall usedforscreeningonlywherefarfrompass.2 NEO N14median5.9042/P8010.7150%,S19.91P16.18hurdle20.5424%/P80zero;NTRA N25median6.8260/P8018.8853%,S369.39P250.22hurdle32.3804%/P80zero. MPCN27median8.3778/P8012.5118%,S424.89P270.08hurdle36.473%/zero. TWSTN15median13.5505/P8022.1855%,S166.99P85.18hurdle49.2065%/zero. SMTCN15median5.1047/P8021.7991%,S185P95.17hurdle48.7405%/zero.3 MTWminask.42=>42USD>29.9814;C24.52wouldpassmedian9.7092%<11.8025butoversized. HAFNshortUSsampleN3median13.1423/P8015.8451%,S10.12C12.5.08hurdle24.3083%/zero;P7.5.07alsozero.4 VNCE N8median16.2957/P8030.3211%butqueriedchainempty;ETS/TJGCnohistoricalqualifiedepisodesandemptychains(N0unknown,notprovenzerotail). ScopeemptychainONLYqueriedrange/feed,notuniversalabsenceoflistedoptions.5 MG/DSX/TRMD/HZO preferredstudiesseparate3793;HALO/THpriorpassesretained. Conclusioncheapdistantlegsarenotconvexedgebypricealone; noall-marketno-opportunityclaim. NonUSlinkedHAFN/TRMDaccessibleUSoptions;foreigndirectstocksandcryptospotnotmandatealternativestolongoptions. Sources https://runway.adityaperswal.workers.dev/data/stock-bars andoption-chain/{symbol}?feed=indicative . Everycomputedrow/event/contractscreenrecorded; broadenedprimaryreadingfocusedonclosestactionableMG/DSX/TRMD/HZO/COST.

Premises:1 Sep18completed split-only bars MG20.75>SMA50 17.5934>SMA20016.12495;ATR20.76122,RSI14(simplemeans)69.6864,volume/prior20mean9.39894. DSX3.11>2.5552>2.3546,ATR.104265,RSI73.2394,volume2.18448. TRMD38.23>31.4167>27.970475,ATR1.32842,RSI82.5029,volume1.21927. 2 Allcloseaboveprior252high:MG20.4,DSX3.10,TRMD37.22. RSI/SMA/higharecorrelatedtransformsofprice,notthreeindependentconfirmations.3 HighRSIcanpersistanddoesnotalonejustifypurchasingputs; usehistoricaldirectionalresponseandcashcountercases. Volumeisobservablebutsourceofvolume(financing/indexflows)notprovedbybar. Conclusionqualifiedbreakoutuniversewithextensionrisk; liveMondaygapcanchangeoptionhurdlesandhistoryalignment. Source https://runway.adityaperswal.workers.dev/data/stock-bars ; fullmetricsrecorded.

Premisesandthreeorders:1 MGSep2newservicefootprintandAug10Q2EBITDA25.8m/revenue193.1m supportdemand(1);operatingleverageandcustomerproximitymayimprovefuturecash(2);persistentprofitgrowthcanholdbreakoutandexpireputworthless(3). Oppositecasehighprice/volumeafterrapidreratingmayreversebeforegrowthpaid;only1/6historicalputtail,notprovedfundamentalshort. Sources https://investors.mistrasgroup.com/news-releases/news-release-details/mistras-group-expands-us-footprint-serve-growing-industrial and https://investors.mistrasgroup.com/news-releases/news-release-details/mistras-announces-second-quarter-and-first-half-2026-results .2 DSXQ2revenues57.3m/net20.8m andmanagementGencoproposal(1);dealfinancing/dilutionandfleetmixcouldchangecashownership(2);reratingorsharereversalcoulddominatehistoricaldrybulkbreakouts(3). Strongestputcountercasecashimprovement/NAVrerating; managementNAVdiscountnotindependentvaluation. Source https://www.dianashippinginc.com/wp-content/uploads/2026/07/dsi_earnings_release-300626.pdf .3 TORMsecondaryredistributesownership(1),Hafniastrategicstakecouldsustainprice(2),putmayexpireevenwhengenericabsolutetailpasses(3);0/11signedterminalputspositiveinpreferredsample.4 HZOcashdealanchors53(1),arbitragecompressesspread(2),genericC55breakouttailceasestoapplyunlesshigherbid(3);dealbreakputisadifferentregimewithN1postannouncementhistory. Sources3785primaryobservations. Who benefits:MGcustomers/operatingowners;DSXmanagementandpotentialcombinedfleet;TORMsellingshareholderreceivescashnotissuer;HZOholdersreceivefixedconsiderationifcloses. Conclusionsmalloptionprobesrequirecurrentpriceandhonestsizing,nofundingdrivenbearishthesis. Ownpositions0,nothesesorexitstoalter.

Premises:1 Empiricalnormalizedsignedterminalpayoffs,cappedtarget,deductpremium+.02/sharefriction; optimize meanlogwealth over0–.99thenhalf,using999.38equity. MGOctP20.12 atP80target1.7023 mean+$14.37/contract,halfKelly45.97USD;25%payoffhaircutmean+7.28/Kelly31.98;50%haircut+.186/Kelly1.30. At3xpremiumtarget.36 mean-$8/Kelly0. MGcall.18 target.7023Kelly14.89below18minimum.2 DSXP3.13 P80target.51465 mean+5.667/Kelly119.13;25%haircut+.501/Kelly15.84(one13premiumcontract);50%haircut-4.666/Kelly0. 3xpremiumtargetmean+2.551/Kelly75.65. This generalKelly includespartialprofits; binary target-or-fullloss diagnosticKelly0doesNOTsupersede it.3 Pathstress usesactualhistorical20dailyclosepaths,N6MG/N8DSX,BSMputs,28dayexpiry/rate4%assumptions,askimpliedsigma17.8845%MG/54.4913%DSX,IVmult.75/1/1.25,spread.01/.025/.05,50%optionstop/P80target. Bootstrap100000seed92102constantIV:MGmean+18.15/+16.90/+15.89USD with5/6stops1/6targets;DSX-5.08/-10.88/-11.84 with7/8or8/8stops,1/8or0targets. Neitherdailyclosechecks norBSMcaptures15minvenueexecution,Americanexercise,IVchangesorrealbid; outcomesunvalidated, notpermanentveto.4 COSTterminalsampleallP760worthless,mean-20;TRMDP32.5signed0/11allworthlessdespiteabsoluteP80pass. ConclusiononecontractMG12orDSX13isaplausiblecappedprobeONLYwithfreshquoteandhonestexit-awareassumptions atauthorizedsession, notautomaticmodeltrade. Fullpremiumrisk<=29.9814,max4,total100;nominal50%stopisnotlossbound. Sources https://runway.adityaperswal.workers.dev/data/stock-bars andoption-chain; research/sizing.py/path_model.py. SmallNselectionandregimebreakremainbindinguncertainty.

Premises:1 vectorbt COSTfixedT3open->releaseclose,29USDnotional/999.38cash,10bpfees+10bpslippageeachside; earliest6train/latest3test frozen beforegridread. Train-.150077%,DD.218039%,win16.667%N6; test-.269959%,DD.269959%,win0%N3. T5test-.398827%;50bpslippageT3-.338660/T5-.467012.2 Split-onlybreakoutnextopen->20sessionclose controls29notional,samecosts;trainbefore2026,test2026. MGtest+.495888%,DD.308209%,win66.667%N3;DSX-.331909%,DD.792241%,win33.333%N3;TRMD+.040213%,DD.651913%,win33.333%N3.50bpslippageMG+.424120/DSX-.400362/TRMD-.029731.10/20horizongridrecorded,nonechosenfromholdout.3 CLI20daybreakout1500days/5%stop15%targetdifferentpolicy: COST+3.0477%,DD9.0719%,win36.1446%N83;TRMD+65.5168%,DD18.4602%,win38.6667%N75;HZO-46.7140%,DD47.4222%,win24.1935%N62. NoisolatedCLIholdout,useonlydiagnostic. Conclusionunderlyingcontrolscompleted,butcannotconvertlongstocklossintoputedgeorstockgainintooptiongain;actualhistoricalexecutableoptionpathsnotestablished. Currentwinnersselectedretrospectively,shorttestN3andpreviouslyvisiblehistorynotpristineOOS. Source https://runway.adityaperswal.workers.dev/data/stock-bars ; research/validate.py,candidate_validation.py; nooptionsorder.

Premises:1 Fixedsame-kindbreakout close>prior252high,volume>prior20mean,dailyturnover>=2m;20session separation and20sessionfutureclose,2016–Sep18history. Newprimarypreferredsplit-onlysamples: MG N6 medianabs9.511654%,P8011.818182%; DSXN8 median13.978504%,P8020.085291%;TRMDN11 median6.819740%,P8018.956380%. EarlieralladjustedDSXN9/TRMDN15preservedassensitivity,notmixed. 2 MGOct16P20 .03/.12 atS20.75 hurdle4.192771%,P801.702273=14.1856xpremium;C22.5 .13/.18 hurdle9.301205% passesmedian,3.9015xP80. Nov20P20.22/.27 passes6.3047xbut20sessionstudyisnottwo-monthforecast. MGputOIunknown.3 DSXOct16P3 .08/.13 atS3.11 hurdle7.717042%<median,P80.514653=3.958866x;call.18/.28 conservativeabsolutehurdle12.540193%<median,P80.73465=2.62376x. OI247put/408callasSep17,standard100tradablemetadata;notfreshquote. ITMcalltrueupsidebreak-even5.4662%,absolute-distancegateusedconservatively.4 TRMDP32.5 .17/.33 P804.597xbut33>29.9814; at hypothetical.29=5.231x, yet0/11signedterminalputpositives. HZOoldregimeN13median10.2947%,P8019.4137 makesC55.07look110.9xbut53cashdealbreakscomparison. ConclusionMG/DSXgrosspassesqualifiedforlive09:50/12:30review; noorderwhileclosed, noautomaticwinprobabilityfromabsolutetail. BorrowedreturnsarenotoptionPnL; entryMondayafterFridaypatterncreatesdelayrisk. Sources https://runway.adityaperswal.workers.dev/data/stock-bars ; option-chain/{symbol}?feed=indicative ; option_contracts ; HZOdeal https://www.sec.gov/Archives/edgar/data/1057060/000119312526341302/d135056dex991.htm .

Premises:1 NasdaqTrader nasdaqlisted.txt+otherlisted.txt returned13220nontestlistings.384nonstandardpreferred/warrant symbolformats excludedfromAPIbatch after400failures;12836normalstrings,12748hadSep18bars;5482price>=2 anddailyturnover>=2m;5111had>=253bars,371insufficienthistory. Sources https://www.nasdaqtrader.com/dynamic/SymDir/nasdaqlisted.txt and https://www.nasdaqtrader.com/dynamic/SymDir/otherlisted.txt .2 CompletedSIPbars adjustmentall screen close>prior252high ANDvolume>prior20mean yields32; split-onlyrecheck removes12 dividendadjustmenthighs leaving20,includingcash/structuredfunds andSPAC. OperatingcandidatesMG,HALO,TH,DSX,MTW,HAFN,TRMD,HZO,NEO,NTRA,MPC,TWST,SMTC,VNCE,ETS,TJGC; ETFs/debenture/SPACnotassumedoperatingtails.3 12worldseries7203/6758/9984Tokyo,0700/9988HK,SAP/ASML/NOVO/SHEL plusNikkei/FTSE/EuroStoxx:0aboveannualhigh;SAP/ASML/NOVOhistoryendsSep16whilequotesSep18, retainstalenessgap. 10cryptoBTC/ETH/SOL/AVAX/DOGE/LINK/LTC/BCH/DOT/UNI Sept20completedbars0annualhighs;BTC81164.345 vs126262.032,ETH2643.9205vs4757.935,SOL111.121vs241.7182. Yahoochart sources and https://runway.adityaperswal.workers.dev/data/crypto-bars . Conclusion broadUScensusnotexhaustiveglobalorFDA/courtcalendar; excludedformats/shortlistinghistoriescanhideopportunities. Snapshot403resolvedviahistoricaldailybars;429boundedretry. AllcomputedrowmetricsbeingrecordedviaMCPafterdirectjournalAPI401(no writes). Source https://runway.adityaperswal.workers.dev/data/stock-bars . Currentwinnerselectioninducessurvivorshipbias;testsarenotuniverse-levelprospectiveperformance.

Premises:1 Issuer indexed events calendar givesSep24Q4 https://investor.costco.com/events-and-presentations/ (renderedJSrowsabsent; exactreleasehourunknown). Nine consecutiveMay2024–May2026 dates individuallysourced to issuer observations thisrun; SIPadjustmentall releaseclose->nextsessionclose. Medianabs1.755193%,P803.433165%,max6.070162%; gap is separate. 2 FullypaginatedOct2–Nov6indicativechain1134legs,100positiveasklegs<=29.9814USD. NearestaffordableOct2P760ask.18/bid.05 atS895.31 requires15.133306%,P80intrinsic0. Allaffordablelegs fartherOTM andfail. 3 Contractexpiration8dayspastSep24;priceSep18notMondayfill. Conclusion:noCOSTorder, not a calendar-onlytrade. PrimaryQ3May28 sales69.15bn+11.6%,adjustedcomp6.6%,EPS4.93vs4.28; robustbusinessdoesnot supply15%earningsmove. https://investor.costco.com/news/news-details/2026/Costco-Wholesale-Corporation-Reports-Third-Quarter-and-Year-To-Date-Operating-Results-For-Fiscal-2026/default.aspx . Strongcounterargument tailsoutsidesmallNpossible, butnotmeasuredhere. Sources https://runway.adityaperswal.workers.dev/data/stock-bars and/data/option-chain/COST. No trade target orKelly claimedfromabsolutemoves.

Premises:1 HZO issuer Aug10 SEC exhibit https://www.sec.gov/Archives/edgar/data/1057060/000119312526341302/d135056dex991.htm specifies53cash/share. Sep18close52.56 leaves0.44 or0.837% to unchanged terms; C55 needs revised bid to finishITM. Pre-deal breakout tails are not stationary merger tails. 2 TORM Sep15 secondary9mshares for290.25m seller proceeds,0company cash;Sep18 Hafnia18.19% ownership. Originals https://www.torm.com/news/company-announcements/company-announcements-details/2026/TORM-plc-announces-pricing-of-secondary-public-offering-of-its-class-A-common-shares/default.aspx and https://www.torm.com/news/company-announcements/company-announcements-details/2026/Major-Shareholder-Announcement-34313618f/default.aspx . Strategic demand may persist, strongest countercase to flow reversal; no deal bid inferred. 3 Aug26TORM results showQ2EBITDA416m incl7m mark gains, Q3covered73% at38606/day versusQ2achieved59301/day. 10271openFYdays imply10.271mEBITDA per1000/day rate change, not fullfleet exposure. Issuer https://www.torm.com/news/company-announcements/company-announcements-details/2026/TORM-plc-Q2-2026-Results-Dividend-Distribution-and-Financial-Outlook-2026/default.aspx . Conclusion: no annualizing peakQ2 or calling secondary new financing income. HZO genericcalltail invalid under unchangeddeal; put requires explicitdealbreak distribution. TORM viablebreakoutresearch butaffordablelegs mustpass. Validity arithmetic sound; soundness futurebid/rates/stationarity unknown.

Start: account1000/fund100cash,ownledger0positions/queues/closedtrades. Goal: affordable longoptionfat-tail exposure; bindingconstraintthisrun closedoptionssession, nextentryrun attainablepriceandhonestexitawaresize. Premises:1 Fullypaginated10namechainsshowFridayindicativequotes,notSundayfreshprices. HALOC130.23/THC27.18 retain7.968/19.895xP80,N17/4. HALOP95.18gross10.737x butOI7/bid0indicative; signedterminal2/17notcalibratedtargetodds.2 Best newly quantified affordable datedrejection NKEOct9P31.30: required13.54548%>median6.835675%,P80.645505=2.151683x<4; SFIXOct16P2.5.28 requires21.831%>median16.578%,1.972x.3 WORminimum67>30; MRKHYPERIONactualdispositionandmatchedlabel-eventedgeunestablished.4 Sevencrypto-linked/globalUSnamesfail52weekhigh; broad17nameboundedtechnicalscreen, notall-marketexhaustion. Conclusion:noorders,100fundcashbecauseclosedresearch,notclaimallcandidatesfail; doesnotincrementconsecutiveflatTRADING-runbreach. At09:50/12:30repricequalifiedoptions,currentequity/caps andhonestodds beforeminimumcontract; fullpremium<=30,total<=100,max4. Conditionalunchangedprice references HALOC130stop.115,target1.83;THC27stop.09,target3.58;HALOP95stop.09,target1.93,expiryOct16; no standingorders and tickrounding mustbeverified. Choosepositionfromdefensiblethesis,notneedfor200profit. ForDATEDcatalysts pricedmove>medianrequirespriorRTHexit; eventP80cannotbeassertedaspre-eventpayoff. Soundness: arithmeticandprimarydatesverified; stationarity,fulloptionpaths,actualbidaskandvenue stopmark remainunknown; stockcontrolsarenotoptionPnL. Fivecollectorshealthyretained; due451resolved; new458put/459NKEentry/460outcome/461next02UTC monitorsarmed. Source https://runway.adityaperswal.workers.dev/data/stock-bars andoption-chain endpoints; NKEdate https://investors.nike.com/investors/news-events-and-reports/investor-news/investor-news-details/2026/NIKE-Inc--Announces-First-Quarter-Fiscal-2027-Earnings-and-Conference-Call/default.aspx ; primaryfinancingandindexcorrectionobservations30989–92. NoFUNDproposal.