Stats

Premises:1 HTTP success means data returned, not valid execution backtest.2 Sparse trade bars cannot identify historical bid/ask and stop execution every15min.3 Default history provenance must be verified independently of current quote entitlement. Audit script research/audit.py, Sep1–4 four regular sessions104 bins per contract; TLT25bars/23regular114trades3764volume, ETHA6bars/6regular8trades119volume. Counts and full bar records saved observations. Missing bins retained as missing, not zero return or forward-filled tradable marks. Both explicit feed parameters400 unexpected query parameter; default200. Current OPRAchain403 unsignedagreement does not establish historical API is inaccessible. Correct shorthand: actual option backtest sample0, not zero historical records. Provider docs distinguish derived indicativequotes/trades from OPRA; default bar provenance unresolved. IV changed on unchanged Sep4quotes across2requests; uncertainty in field synchronization. These2 retrospectively selected cheap legs and4days are selection-biased, cannot estimate general p/W/L; no new strategy backtest claimed. Existing simulation1083 and backtests1045–1054 remain rejected evidence, not rerun. Sources https://runway.adityaperswal.workers.dev/data/option-bars?symbols=TLT260914P00081000,ETHA260925P00015500&timeframe=15Min&start=2026-09-01T00:00:00Z&end=2026-09-05T00:00:00Z&limit=1000 ; https://docs.alpaca.markets/us/docs/historical-option-data .

Premises:1 Variance forecasts must be evaluated on future returns unavailable when forecast formed.2 A pooled mean bias adjustment can mimic indicator skill.3 Correlated ETFs are not independent events. Frozen note963 before results. SIP adjusted daily2022-Sep4 2026,8 ETFs1173bars each,IBIT665,ETHA533; start after60returns; benchmark f=.5*(252mean last20 r²+252EWMA r² alpha.06). Four groups negative5return x belowSMA50. At disjoint10session origins within each train/test partition, realized a=252mean next10r². Group multiplier=(sum train a/f+20)/(Ng+20); train2022-25,N825; holdout2026,N160. QLIKE=a/f-log(a/f)-1. Train .318527->.301612; holdout .303423->.275747, paired delta-.027676. Numpy seed2026090806,10000 resamples of monthly blocks retaining intra-month cross-asset dependence,8 holdout blocks,95%CI[-.087978,.016767]. Eight blocks and different inception dates limit inference; prior origins never consume future test returns, current Sep4 unscored. Secondary frozen note969 global multiplier1.181661 gives holdoutQLIKE .281482; grouped incremental delta-.005735 CI[-.015465,.005064], seed2026090807. Thus most measured gain can be simple calibration; cannot establish downside regime edge. Multipliers groups0/1/2/3=1.223964/1.085256/1.223216/1.103578,counts312/114/166/233. Downtrend groups do not show strongest multiplier, contradicting naive leverage prior. Soundness limited by selected existing ETFs, adjusted returns not raw ex-div option paths, pooled assets and only8monthlyblocks. Source https://runway.adityaperswal.workers.dev/data/stock-bars?timeframe=1Day&feed=sip&adjustment=all ; models research/analyze.py/control.json. Forecast improvement is not option-return backtest. Do not adopt; retain as exploratory prospective hypothesis.

Premises: 1 A realized jump need not repeat, but it may mark a persistent volatility regime. Counterexample to deleting jumps: sustained distress and new information. 2 A useful alternative must improve untouched future forecasts, not just today's option value. 3 Forecast accuracy is not traded option expectancy. Frozen note917 before data: r=log(Ct/Ct-1), g=log(Ot/Ct-1), i=log(Ct/Ot); clip g at +/-3 prior60 gap RMS, reconstruct r*=clipped g+i. Each forecast F=252*(.5 mean20 r²+.5 EWMA alpha.06 r²), no fitted scaling. Raw second moments differ from prior run's centered sample SD, so 87.80 versus88.86 is partly estimator choice. SIP adjusted-all1351 bars Apr21 2021–Sep4 2026, complete returned page, no duplicate/bad OHLC. IEX1349 misses2 days and Sep4open16.42 vs SIP16.24; use SIP for opening decomposition. Sep4loggap-.115043, intraday-.066840, total-.181883; clipping threshold.054439. Current sigma base87.8002%,clip71.8527%,RV60 68.7534%. Train2022–25 100 nonoverlapping10-session targets; 2026holdout16 complete targets, exclude incompleteSep4future. QLIKE=a/f-log(a/f)-1: train base.720790/clip.664642; holdout.146258/.149739; realized/forecast holdout.936477/.962937. Holdout clip-minus-base .003481, iid95%[-.004731,.015646]; circular3window bootstrap10000 seed45 [-.002666,.011286]. Overlapping predictor histories remain dependent; CI descriptive small sample. RV60holdout.107223, not selected retrospectively. 21complete >3RMS gap events,18withgreedy20session spacing,10negative; only2holdout events. Negative events future20variance/base .491554 versusclip .971096; all-events base.750015, median individual ratio1.06047. Dropping largest2024May30 event changes all-event base ratio .922176: mean result is influential-event sensitive. Spaced18base .669659. Thus historic downward shocks often decay, but universal clipping superiority is unsupported. Logfuturevariance regression on intercept/logbase/jump:100train origins, coefficients[-.751215,.440876,.100329], only4jump origins, holdoutlogMSE.198187; too sparse for causal jump-premium estimate. All forecast rows/events and inputs recorded as observations. Source https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=PATH&timeframe=1Day&feed=sip&adjustment=all ; historical earnings origins recorded separately. Prior stays unresolved; materially changing it requires prospectiveSep4 outcomes and additional untouched jump events, not a newly tuned clipping threshold. No probability of profitable option trade established.

Premises:1 Model value must cover ask,exitspread andfees.2 Forecast variance is uncertain and completedjumps maynotrecur.3 Americanexercise mustbemodeled, whiledividends/deliverables stillneedverification.49selectedchainfeedsSep11–Oct16 fullypaginated36,908standard-rootcontracts;3,209asks<=.08;1,252positivebid+bothsizes;41baselinepasses,4at.8sigma. Saved all evaluatedinputs,IV,Greeks/timestamps andvalues in observationbatches. AdjustedSIPdailybars2024–Sep4 2026;forecastannualvariance252*(.5samplevar20+.5EWMA.94ofsquaredlogreturns),r.04,q0assumed;CRRAmerican200steps dt=T/N,u=exp(sigma*sqrt(dt)),d=1/u,p=(exp(rdt)-d)/(u-d),discountedbackwardexpectationmaxintrinsic. TcalendarfromSep4close;hurdleask+.5(ask-bid)+.002;fee.20USDscenario notverified. Forecastcheck2026nonoverlap10sessionwindows,N16/name;QLIKElosslog(v)+realized/v vsRV60. Only17/49better,meanlossdiff+.016576;PATH+.039230,RIOT+.027439,ETHA+.124452,EWJ-.003464. Nominalchronologicalholdout,notunselecteduniverse: namesselectedusingSep4census, no untouchedoptionpayoffdata. PATHS15.19,sigma88.8646%:Oct2P12bid.01ask.07 fair.291626 low.145127 vs.102hurdle;Oct16P11 .05/.07 fair.273345 low.125015 vs.082;Sep11C18 .01/.02 fair.078989 low.028421 vs.027. RIOTS21.8,sigma94.7884% Sep11P19 .07/.08 fair.201134 low.093856 vs.087. 400/800meshes agree within.00030 on finalists. CounterexampletoPATHforecast:Sep4logreturn-.181883,removingonlythatreturn lowerssigma58.5079%,fairvalues.067980/.052760/.008935,allbelowhurdles. This is sensitivity,notauthorizednewforecast. AdvancingclocktoTuesday13:30UTC withfrozenS/ask dropsshortPATHlowfair.002094 andRIOT.015250,bothfail. PATHlongputsretainlowclockvalue butjump-sensitivityfails. Unknownactualfees,dividends,deliverables andfuturequotesremain; nooptiontradep/W/L. Sources https://runway.adityaperswal.workers.dev/data/stock-bars?feed=sip&adjustment=all ; https://runway.adityaperswal.workers.dev/data/option-chain/PATH?feed=indicative and/RIOT ; https://docs.alpaca.markets/us/docs/historical-option-data .

Premises:1 Widening requires a denominator, not only popular names.2 Listings, returned snapshots, current observations and optionability are distinct.3 IEX-only liquidity is incomplete and cannot be trusted as consolidated ranking. Nasdaq primary directories bothfilecreatedSep4 21:31;13,155unique non-test symbols,includingETFs/units/warrants/preferreds. Parser preserves NA ticker via keep_default_na=False.384unsupported syntax explicitly excluded;12,771requested syntax-supported symbols. Initial SIP403 and unthrottledIEX429/special-symbol errors invalidated partial1497 ranking. Recovery reused successful responses and throttled missingrequests; final12,646returned,12,488positiveclose,8,068Sep4dailybars,4,578other/missingbardates;125syntax-supportedunreturned,509totalnotreturnedincludingunsupported. Finalretrybatches0HTTPfailures. All measured census rows recorded in compact record_observation batches; scripts research/census.py/recover_final.py and raw snapshots retained locally. Missing rows are not zero liquidity; old bars are not current signals. Exploratory IEX dollarvolume and range surfaced IOT/PATH/SNDK/SNPS/IREN plus semiconductors; country,metal,sector andcrypto-linked ETF optioncohort extends outside that selection. Chain coverage separately49names,notall13,155. Eight internationalproviderquotes includeTokyo/HongKong/Germany/London/indexes/FX withunalteredcurrencies andtimestamps; codechartPreviousClose anchors5drange, so reportedchangePct must NOT be calleddailyreturn. Directforeign listed-option venueeligibility unavailable; useUS-listedcountry/cryptoETF proxies for mandate, notspotdirectional diversion. Resolution cents/individualcontracts; no inference thatuncoveredmarkets lack mispricing. This is data/coverage audit, not validatedalpha screener. Sources https://www.nasdaqtrader.com/dynamic/SymDir/nasdaqlisted.txt ; https://www.nasdaqtrader.com/dynamic/SymDir/otherlisted.txt ; https://runway.adityaperswal.workers.dev/data/stock-snapshots?feed=iex ; https://query1.finance.yahoo.com/v8/finance/chart/7203.T?range=5d&interval=1d .

Premises:1 Prior forecasts may be wrong; rejection is conditional rather than proof of efficiency.2 A revised volatility must clear costs and be independently validated.3 European sensitivity is not American executable valuation. New Python scipy Brent inversion in research/hurdles.py; full12rows observations9266–9277. Frozen analysis602 Sep4 S82.22 TLT Sep18P79.5 bid.02 ask.03 sigma.094090586; EEM S68.72 Sep18C73.5 bid.03 ask.07 sigma.178580666. BS d1=(ln(S/K)+(r+.5sigma²)T)/(sigma sqrt(T)), d2=d1-sigma sqrt(T), standardcall/putformulas; r.04 q0 and100multiplier assumptions. Solve BS=ask+halfspread+c/100 for c=0,.20,1.30 hypothetical roundtripdollars. CalendarT14/365 vs wholeT9/252 sensitivity includingdiscount (not separately calibrated tradingvariance clock). Baseline calendar values .016079822/.029000241 below zero-fee hurdles.035/.09. With c.20 volatility roots10.974547%/22.414754%, lifts16.6381%/25.5161%; sessionroots11.345883%/23.257607%. Zero-fee calendarroots10.851785%/22.303600%; fee removal alone cannot rescue frozen values. Atc1.30 calendarroots11.593243%/23.005388%. Economic sensitivity potentially material: prior555 EEM varianceunderforecast1.397 andposthoc602 vol23.5647% exceededroot, but choosing that after observingholdout invalidates it as independentedge. PriorAmericanmesh validation602 showed nearagreement for these twolegs under no-div assumptions; no newAmerican/dividend validation claimed. Hurdle is diagnostic fairvalueproxy, not attainablebid or profit expectation. R=100ask+c; required net1.5R targetbid=2.5R/100 gives.08/.18 atc.20, no tickroundup as claim of feasibility. Counterexamples: changeddividends,tailjumps or spreads change roots; singlevol cannot identify eventdistribution. Newresults do not estimate p/W/L; optionholdout0, size0. Sources prior venue chains https://runway.adityaperswal.workers.dev/data/option-chain/TLT?feed=indicative and/EEM and underlying https://runway.adityaperswal.workers.dev/data/stock-bars; provider https://docs.alpaca.markets/us/docs/historical-option-data confirmsindicative nature. Prices deliberately not refreshed during holiday; allsourcequotesdatedSep4.

Premises:1 Price from underlying forecast independently of feedIV.2 Value must cover ask, exitspread andfees.3 Uncertain favorable recalibration does not validate a trade. Sep7 collection of Sep4 indicative chains: EEM140,TLT110,GLD502 =752contracts, no nextpage tokens, Sep18expiry only. Riskaffordable ask*100+.20<=8.5099 gives29EEM,44TLT,114GLD=187; positivebid7/13/57=77. All187 priced from adjustedIEXSep4close S68.72/82.22/406.78 and frozenannualvol .178580666/.094090586/.193561450. AmericanCRR300steps,r4%assumption,q0,T14/365 fromSep4close toSep18close. Dailyvariance forecast5sessions extended flat to optionhorizon is UNVALIDATED; clock sensitivity uses9futuretrading sessions/252 (Sep8–18), multiplied additionally by.8lowvol. Other scenarios1.2vol andcontinuousyield6%; distributions notverified, continuousyield is NOT discrete-dividend solution. Standard100multiplier/deliverables assumed, actualOCC not verified. Diagnostic margin=100*(fair-ask-halfdisplayedspread)-.20assumedroundtripfee; this is an untruncated VALUE HURDLE, not realized P/L. Where modeled liquidation fair-halfspread<0, actual hypothetical bid floors0 and loss is premium+fees; this does not change zero passing baselinecount. Entryask anddisplayedsizes/quote timestamps,IV/Greeks and every model row are in observations. Modelmargin best positivebidTLT P79.5 -$2.083775, fair.016162 versusask.03/bid.02; EEM C73.5 -$6.306129,fair.028939 versusask.07/bid.03. No187 baselinepass or robustpass. Posthoc sensitivity sigma*sqrt(upper95holdoutvariance-ratio),600steps: EEMC73.5 becomes+$2.185501 at23.5647%vol; TLTbest remains-$1.398324;GLDbest-$2.662994 untruncatedmargin. EEM positive ONLY in favorable post-test forecastshift, not independently heldout and not executable. Numericalcheck600/1200: EEMC73.5 .028979/.028978,EuropeanBS.02900024; TLTP79.5 .016205/.016211,European.01607982; GLDP334 1.80469e-7/1.88509e-7,European1.99832e-7. Stable rejection acrossmesh does not remove forecast/dividend/feed uncertainty. Quotes are modified per provider https://docs.alpaca.markets/us/docs/historical-option-data ; chains https://runway.adityaperswal.workers.dev/data/option-chain/EEM?feed=indicative and/TLT and/GLD . No actualquotehistorybacktest or executionclaim.

Premises:1 Future realized variance must be forecast with data available at forecast date.2 Forecast loss improvement is not option-return expectancy.3 Cross-market and serial dependence must enter uncertainty. Fixed SPY,IWM,GLD,XLE,EEM,TLT,IBIT universe; adjusted IEX daily2022-01-01 through2026-09-04,1173bars each exceptIBIT665 from2024-01-11. No duplicate timestamps or missing dates relativeSPY after ownfirstdate; this does not verify complete consolidated coverage. r=log(Ct/Ct-1), target y=mean(next5 r²). Candidate dailyvariance RV20,RV60,EWMA alpha.06/.03,logHAR using log squared-return means1/5/22 sessions plus intercept; OLS logtarget, logfloor1e-10, in-sample exp-residual smearing. Minimum60session warmup. Fit/select minimum training mean(log f+y/f) at dates<2024-12-20, so all target outcomes precede2025 holdout. Training686rows per establishedETF,178IBIT; train selection biased in-sample by design, heldout untouched. HAR selected IBIT/IWM/SPY/EEM/GLD,EWMA.97 TLT/XLE. Holdout2025-01-01 onward sampled every5sessions gives83 disjoint forward windows perETF (581rows,83 independent calendar windows at most, NOT581 independent assets). Manual target-index checks passed all7. Annualized current vol sqrt(252f): IBIT55.00%,IWM17.48%,SPY10.47%,TLT9.409%,XLE21.93%,EEM17.86%,GLD19.36%. Lossdifference selected-RV20 negative better: SPY-.115592,IWM-.067709,TLT-.051919,XLE-.037129,EEM-.071902,IBIT+.018637,GLD+.134709. 50000 circular moving-block bootstrap draws,4 five-session observations perblock, common indices acrossassets preserve dependence; Bonferroni95family interval onlyTLT excludes0[-.114048,-.001401]. SPY[-.251724,.002757],IWM[-.162909,.009529] lose individual significance. Equalasset pooledmean-.027272,95CI[-.084595,.028682]. Realized/forecast variance ratios:GLD2.047,EEM1.397,IBIT.621; approximate95ratio intervalsGLD[1.433,2.802],EEM[1.051,1.741],IBIT[.472,.800]. Do not retrofit favorable ratio into validation. Assumptions: fixed blocklength, stationary resampling, selected survivingETF universe, IEXsample; no event/jump identification or volatility risk premium. Counterexample: GLD highvol regime invalidates stable diffusion forecast. Valid conclusion limited to TLT forecast component worth prospective checking; does not establish cheap options. Source https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=SPY,IWM,GLD,XLE,EEM,TLT,IBIT&timeframe=1Day&feed=iex&adjustment=all . Scripts research_vol/analyze.py,uncertainty.py; all coefficients,traininglosses,holdoutrows,regimes andbootstrap figures recorded as observations.

Premises:1 European no-dividend parity is not an equality for American dividend-paying stock options.2 Standardpairedsameexpiry/strike contracts need cashdividends,exercise andbidask.3 A cheaplegmust clear independentvalue,entryask,exitspread,feesandrisk. Collected252indicativecontracts Sep7,quotesSep4;first2expiriesSep18/Oct16 priced86legs,43pairs,29bothpositivebid. LastIEXtradeS46.15; unusableIEXclosingquote39.34/53.58 isnotNBBO, so alltestsdiagnostic. D2.61,exSep18open13.729167calendar daysafterSep4close; r4%assumed,T14/365 or42/365. Pairinterval[Cbid-Pask,Cask-Pbid].17/29exclude S-Kexp(-rT);0violateconservativeAmericanband[S-PV(D)-K,S-Kexp(-rT)]. Thisshowscompatibility,notmarket-efficiencyproof. Model1 escrowCRR X=S-PV(D),Xnodes=X*u^(2j-i),u=exp(sigma sqrt(dt)),p=(exp(rdt)-1/u)/(u-1/u); stocknodesaddremainingPV(D);backwardmax(discountedcontinuation,intrinsic). Sigma40.8179926%from20adjustedlogreturns,n800,check1600maxdiff.00078686. Baseline86/86 fair-ask-assumed$.002/share<=0. Sep18K46 feedcallIV44.96% put99.22%;no-divmidresidual-1.775521 becomes+.830555afterdividend; modeledexercise differential+.943039. OctK46IV26.41%/64.85%,residual-2.351740 becomes+.254337;exercise+.279875. Do notcomparefeedIVasmodel-independentcheapness. Model2 independentstockGBM implicitFD,logS.001–250,2400space1800time,exactcashjumpinterpolation andAmericanprojection;fine3600/3000checknearK46. Sep18call1.565900 vsask1.72,put2.992254 vs3.63;Octcall1.878755 vs2.009,put3.820327 vs4.14. Unscaledescrow valuesSepcall1.483639/put2.926155 reveal modelrisk largerthanmesherror. Full86FDrevealsONEpositivepreexitspreadflag: Sep18P42fair.78105845 vsbid.58/ask.73;net+$4.905845/contractwithassumed$.20fees. Escrowfair.70732511 rejects. Halfcurrentquotedspread.075 givesfairbidproxy.70605845,net-$2.594155;ask73dollars exceeds8.5099fullpremiumrisk. Reject,notrobustcheapness. Actualfeesunknown; evenzerofeesleaveexitspreadproxynegative. Broadbounds/cheaplegmodels arenot executablearbitrage andcannotbeimplementedasforbiddenspreads. Counterexample: truejumpvolormoreaccurateexercise canchangefairvalues; model-sensitiveP42alreadydemonstratesit. Requiredrevision: executablequotes,verifiedcarry/deliverables,independentactualoptionreturnholdout. Sources https://runway.adityaperswal.workers.dev/data/option-chain/FRO?feed=indicative ; https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=FRO&timeframe=1Day&feed=iex&adjustment=all ; https://infomemo.theocc.com/infomemos?number=54262 ; https://docs.alpaca.markets/us/docs/historical-option-data . Models/files research_fro/analyze.py,verify.py,fd_all.py;eachquote/modelrowrecorded.

Premises:1 mechanicaldividendpricechanges differ from stochastic totalreturn shocks.2 Removingcashdrops may improvevolforecast but doesnotguaranteeit.3 Forecastcomparisonmust keep2026unseen and useknownpastdata. Python collected1172matchedIEXraw/allOHLC Jan3 2022–Sep4 2026; IEXmissesothervenues. logreturns,annualstdsqrt252:20draw=adjusted40.8180%;60draw46.4959% versusadjusted49.1060%;252draw42.7511% versusadjusted42.9774%. Adjusted60dvolhigherisvalidcounterexample to 'dividendadjustmentalwayslowersvol.' Fifteenraw/adjustedratiochange daysabove.002log inferred,notissuer-certifiedexdates. Fixed20pastsessionmeansquare forecasts next10sessionadjustedmeansquare; nonoverlappingfuturewindows,step10 fromindex21. Trainend<=2025N98; forecaststart2026N16; discardonecrossyearwindow. QLIKE=log(vforecast)+vreal/vforecast. Deltaadjustedminusrawtrain+.00528588;holdout-.01078931. Circularblockbootstrap3windows,10000resamples seed7092026:trainCI[-.00292170,.01828023],holdout[-.03095147,.00772074]. HoldoutvarianceRMSEadjusted.0006111583 vsraw.0006165529. Conclusion: no statisticallyclear forecastinggain; useadjustmentforcorrectcashmechanics, not as provennewcheap-optionsignal. Validcomparison conditionalonIEXadjustments; forecasts share20dlookbackso blockbootstrap, smallNstillweak. Prior: correctionhelpsmechanicalmeasurement; evidencewould supportforecastedge only frozenlargerholdoutCIbelowzero, plusactualcostedoptionreturns. Nooptionhistorybacktest or monetaryreturn/drawdown/winrate measured; ownoptionN0. Do nottranslate variancecalibration intoKelly. Files research_fro/analyze.py,forecast_holdout.csv,stats.json. Sources https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=FRO&timeframe=1Day&feed=iex&adjustment=raw ; sameadjustment=all; datesandordinarypolicy issuer/OCC observations7422/7450.

Premises: 1. A forecast needs the return window that actually contains the announcement. 2. Event-gap history is a distribution estimate, not an option return backtest. 3. A two-event holdout cannot establish tail calibration. Eighteen individual issuer notices, dated March2022–May2026, confirm nine after-close releases through March20 2024 and nine before-open releases thereafter. Map after-close announcements to next-session open versus announcement-day close; before-open to same-session open versus prior close. All 18 exact dates, original notice URLs, publication dates, aligned prices and log returns saved in observations7151–7168. Primary notice establishes intended phase; historical first-news ticks and any early preannouncements were not independently reconstructed. Adjusted IEX daily bars https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=CHWY&timeframe=1Day&start=2022-01-01&end=2026-09-05&adjustment=all&feed=iex :1172 bars. Sixteen events2022–25 train; March25/June10 2026 held out before calculation, no 2026 refit. J=ln(event open/preclose). Train RMS10.3956%, mean absolute9.2054%, median absolute9.0425%, close-to-close RMS13.0700%. IID event bootstrap10000 seed2026090608 RMS95% interval[8.0483,12.4958]%; conditional on this small changing-regime sample, not a predictive interval. Deliberately wrong all-before-open mapping gives RMS6.1948%, understating variance-window exposure. Held-out gaps+10.1067% and-0.0490% log; RMS7.1466%, meanabsolute5.0779%, N2. Insufficient to validate event tails or distinguish competing forecasts; no p-value or trading edge claimed. Current before-open phase is verified by issuerAug19 https://investor.chewy.com/news-and-events/news/news-details/2026/Chewy-Announces-Fiscal-Second-Quarter-Financial-Results-Conference-Call/default.aspx . Prior was event optimism unsupported; correct timing raises measured historical variance but does not make current asks cheap. Evidence that would move the decision: prospective independent event/option bid-ask returns with uncertainty excluding zero after costs, plus execution entitlement. Counterexample to transportability: changing margins, financing or preannouncements change surprise variance; opening IEX prices can differ from consolidated auction. Valid timing logic; empirical adequacy for a paid tail bet remains unproven.

Premises: 1. A more flexible forecast must outperform a fixed baseline out of sample. 2. Overlapping outcomes cannot count as independent evidence. 3. Physical variance forecasts alone are not risk-neutral option values. Fixed six ETFs, adjusted IEX daily close bars Jan3 2022–Sep4 2026,1173each. Let r=log(Ct/Ct-1),v=r². Baseline f=(mean21(v)+mean63(v)+EWMA.94(v))/3. Competitor is our HAR-like OLS log(mean(v[t+1:t+5])) on [1,log(vt),log(mean5(v)),log(mean22(v))],floor1e-10; daily squared returns are not intraday realized variance. Fit976 rows beforeDec24 2025; target ends before2026, explicit purge. Arithmetic forecast exp(Xbeta)*mean(exp(trainingresidual)), coefficients and smearing recorded per symbol. Freeze coefficients for2026; select every fifth eligible date,33 nonoverlapping outcomes each. Loss QLIKE=y/f-log(y/f)-1; compare paired differences HAR minus blend. 5000 circular block bootstraps, block4 outcomes, seed2026090606; all six95% intervals include0. Deltas GLD+.185717,IWM+.005959,TLT+.004236,XLE-.016413,XLF+.025697,EEM+.031996. Thus no demonstrated general improvement; do not adopt HAR based on it making certain calls look cheap. Counterexample: XLE mean improves and GLD/EEM logMSE improves; losses rank models differently. These findings prevent claiming universal dominance of the blend. Universe chosen for economic diversity, not random market sampling; high/low regimes uneven, daily IEX noise and common market shocks limit precision; six markets are not198 independent trials. Prior qualitative expectation of fragile cheap-tail values retained, no invented posterior probability. Evidence that changes stance: prospective frozen forecast gains with uncertainty excluding0 on eligible contracts plus actual option bid/ask holdout. Source https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=XLF,XLE,GLD,EEM,IWM,TLT&timeframe=1Day&start=2022-01-01&end=2026-09-05&adjustment=all&feed=iex .

Premises: independently forecast physical variance; hold out outcomes; do not equate physicalvariance orbetterforecastscore to risk-neutraloptionvalue. x=logadjustedclose return. Fixedforecast variance=(252var21+252var63+252EWMA(x²,lambda.94))/3. Train2023–2025; winsorclipbounds from751trainingreturns[-.04953405,.06813260] fixed before2026 comparison; 165heldout next5observedsession mean-squarelabels, trainingevaluationwouldpurge5sessions; no fittedcoefficients. CurrentRV21=.3851876,RV63=.3787668,EWMA=.3769041; blend=.3803027,winsor=.3593251. QLIKE=mean(logf+a/f); winsor-minus-blend -.038909, pairedcircular10-rowblockbootstrap10000 seed2026090604 CI[-.138576,.070907], so noestablishedsuperiority. Blend-minus-RV21 -.178529,3000bootstrapCI[-.375315,-.014350]; overlappinglabelsnotindependenttrades. Rawunadjustedforecast holdoutQLIKE-.252945 illustratesmemoryofsplitartifactevenaftercurrentRVhasrecovered. Train/testdailymeans+.15398%/-.10618%,dailySD2.11683%/2.35143%,excesskurtosis7.215/7.225; top5days18.965%/43.095%totalsquaredreturns. PosthocclassificationFeb27,Apr17,Jul17 of170testdays accounts35.751%variance; eventmean-square.0111585 versusother.00036024,ratio30.975; OLSx²=a+bI(event),b=.0107983,HC1SE.0024770. This was selectedafterextremeinspection: descriptive, notcausal/significanceevidence. Dates verifiedissuerWBDwithdrawalFeb26, earningsApr16/Jul16; notallothereventsclassified. Four-sessionnonoverlap terminalputproxy atS78.25,K72,fixedhypotheticalpremium3andfees.20: trainN187win1.604%mean-$1.1416; testN42win7.143%mean+$7.7724,avgwin150.414,avgloss3.2,10000IIDwindowbootstrapmeanCI[-3.2,28.8344]. Threewinsdominatetest; historicalconstantmoneyness/currentpremiumproxyisNOTactualoptionbacktest. Removingtailsmaydiscardgenuinejumpinsurance, while includingdatedevents mayoverpredictordinaryweek; neitheridentifiesnextweek. Sources venueadjustedstock-bars; https://www.sec.gov/Archives/edgar/data/1065280/000106528026000212/nflx-20260630.htm ; https://ir.netflix.net/investor-news-and-events/financial-releases/press-release-details/2026/Netflix-to-Announce-First-Quarter-2026-Financial-Results/default.aspx ; correspondingSecondQuarterrelease. Allocation0.

Adopt data-normalization rule, not a trade. Premises: (1) returns must compare equal share units; (2) option series must follow OCC adjustment terms and dates; (3) both sides need current executable quotes. Collected complete single-page 922 daily IEX bars Jan3 2023–Sep4 2026 independently for adjustment raw/split/all. Raw Nov17 2025 log return -2.310715 versus adjusted -.00812572; full-history annualSD125.707% versus34.338%; raw buyhold-73.465% versus adjusted+165.344%. Split and all closes identical. CurrentRV21 stays38.51876%, equalvarianceblend38.03027% exactly reproduces prior analysis283: correction to the suspicion, split artifacts do NOT explain this recent forecast. OCCNov14memo57651 effectiveNov17 divides old strikes10 and multiplies contractcount10, premiumextension100, deliverable100NFLX shares; NFLXrootunchanged. Old Sep18K1280 calls94.21/99.30 andputs217.67/225.83 retainNov14quotes; their normalizedK128series haveSep4quotes call0/.06 put48.30/50.67. Normalization cannot make oldquotes current. Sep8–25 chain748records,258quotes2025,469within120sofSep4close,21otherolder; adjacentverticalflags9all versus5fresh. Largest$827.20gap mixes pre/postsplitseries. Five remainingflags show timestampfilters are necessary but insufficient: indicativefeedprices are derivatives. Statecash850.99/fund127.65; noholdings. Sources https://infomemo.theocc.com/infomemos?number=57651 ; https://www.sec.gov/Archives/edgar/data/1065280/000106528025000450/nflx-20251114.htm ; https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=NFLX&timeframe=1Day&start=2023-01-01&end=2026-09-05&adjustment=all&feed=iex ; https://runway.adityaperswal.workers.dev/data/option-chain/NFLX?feed=indicative . Counterexamples: newrealjump remainsafteradjustment; fresh syntheticquotescanstillviolateverticals. Valid inference is artifactrejection, notefficiencyproof.

Premises:1 forecastphysicalvarianceindependentlyofoptionIV;2 evaluatenextperiodvariancebeforetrustingvaluation;3 bettervarianceforecastdoesnotidentifyrisk-neutralprices orlongpremiumprofit. For62roots with>=100adjusteddailyIEXbars throughSep4, x_t=ln(close_t/close_t-1). RV21/RV63=samplestd(x)*sqrt252; EWMAvariance v_t=.94v_t-1+.06*x_t², initializedfirstsquaredreturn; annualEWMA=sqrt252v_t. Fixedforecast sigma=sqrt((RV21²+RV63²+EWMA²)/3). No fittedcoefficientsorparameteroptimization; trainpreDec20 2025 (five-sessionlabelpurge), holdoutJan2026; predict next5observed-sessions meansquaredlogreturn*252. QLIKE=mean(logforecastvariance+realizedvariance/forecastvariance), lowerbetter; overlapping5daylabels mean165holdoutobservationsnot165independenttrades. BlendbeatsRV21alonein50/62roots, notmultiplicity-adjustedsignificance orclaimedoptionedge. SNAPforecast65.457%, stress50.445%; testQLIKE.319948 versusRV21.564146, realized/predictedvariance1.11539. MARAforecast96.768%, stress74.220%, QLIKE.843535vs.866474,ratio1.06844. ETHA53.343%/.410587stress, QLIKE.137118vs.371150,ratio.96578. EWZ23.902%, QLIKE-1.63049vs-1.57624,ratio.99352. Everyrootinputanddenominatorrecorded. Stress sigma=.8min(RV21,RV63,EWMA) isdeliberateadverseassumption, notconfidencebound. Currentlisteduniverse andIEXsamplingcausecoveragebias; crisisvariance,jumps,ETFdividendclock andriskpremiuminvalidateBSMconstantvol. SPCXonly59bars excludesits1094contractsfromvaluation;163morecontracts haveinvalidpriceconditionsorunparsedstandardformat. Decisionretainforecastasresearchbenchmarkonly, noempiricaloptionwin/loss andzeroallocation. Source https://runway.adityaperswal.workers.dev/data/stock-bars?timeframe=1Day&start=2023-01-01&end=2026-09-05&adjustment=all&feed=iex .

Premises:1 crypto price risk continueswhileUSoptionsclosed;2 equalcalendardayvariance andzerosessionclosurevariance aretestableextremes;3 UTCspotbars cannotdirectlyidentifyNYcloseETFoptionvariance. CollectedcompletepaginateddailyBTC/USD andETH/USD barsJan1 2025–Sep4 2026; logclose-to-closereturnsq_t; OLSq_t²=alpha+beta*I(Saturday/Sunday). Fixed2025train364returns/53weeks,2026heldout248returns/36weeks; weeklyblockbootstrap5000,seed20260906. BTCweekend/weekdaymeansquaredreturnratio0.5768train and0.3303test; test95%interval0.1542–0.6998. ETH0.6329train,0.4844test; testinterval0.2063–1.0165 includes1. Lowerpointestimate isnotcertaintyforETH. Testmeanreturn/day BTC-0.03688%,ETH-0.07244%; dailySD2.4534%/3.3483%, excesskurtosis7.435/5.068; heavy tailschallengeGBM. Weekendsharesoftotaltestvariance11.70%BTC,16.27%ETH, notzero. Ratesandtotalsmatter: twoquieterweekenddaysstilladdrisk. Initialhourlyrequesttruncatedat960BTChoursandnoholdout; cutthatthreadratherthanclaimproperNYclosealignment. Dailyresultsarelowerresolution andcannotcalibrateholidayFriday-toTuesdayoptionclocks orMARAoperatingleverage. Noalphastrategyreturnderived; noadjustmenttohistoricaltestparameters, nogrosscarryproposalandnospotcryptotrade. New evidence weakensliteralzero-weekendinterpretationofsessionclock, while retainingit asadversescenario ratherthanfairvaluebound. Sources https://runway.adityaperswal.workers.dev/data/crypto-bars?symbols=BTC/USD,ETH/USD&timeframe=1Day&start=2025-01-01&end=2026-09-05 ; providerdocs https://docs.alpaca.markets/us/docs/historical-option-data .

Premises:1 wholemarket coverage requires an enumerated listinguniverse, not a handpickedwatchlist;2 missing/bad/stale data cannotbeclassifiedaszeroactivity;3 IEXliquidityrank is a triageinstrument, not an alphabacktest. Source primaryNasdaq nasdaqlisted.txt andotherlisted.txt filecreation0904202621:31, downloadedSep6:5584Nasdaq+7571other non-test listings=13155. Parserpreserves literalNA ticker, removesTestIssueY andfooters, deduplicatessymbols. Venue stock-snapshots feediex acrossallbatches initiallyhit429andunsupportedpreferredsymbols400; cachedsuccesses, pacedretries, constrainedremainingcalls toplainletters1–5.12612plainroots,543excludedformats requiringmapping(notprovednontradable);12573snapshots,39missingplainroots;12415positiveprice/volume dailybars,8056Sep4 and4359older. LatestdailyBar canbestale: neverrank oldbardollarvolume ascurrentliquidity. Top20newroots selectedfromSep4-leadingnames beyond43predeclaredglobal/sector/crypto roots andprior14; inspectedselectedtimestampsallSep4. AggregateIEXdollarvolume c*v andrange100(h-l)/c only. Initialfailurebatchesdonotenterdenominatorsaszerovolume. Coverageisalllistingmetadata and8056freshunderlyingbars, NOTalllistedoptionchains. LargestcapturedIEXdollarvolumes MU862.83m,NVDA826.96m,SPY777.49m,SNDK565.91m,TSLA537.42m. These arevenuefeedmeasurements, notconsolidatedmarketturnover. Current-universe survivor/newlistingbias bars history nothistoricalwholemarketconstituents. ForeigncontextworldCLI coveredJapan/Germany/Netherlands/HongKong andUK/Eurostoxx/FX/oil; chartpreviousClose mayreference5daywindow, sono claimofdailychangefromit. Action broaderchainselectiononly, nofunding/proposal. Sources https://www.nasdaqtrader.com/dynamic/SymDir/nasdaqlisted.txt ; https://www.nasdaqtrader.com/dynamic/SymDir/otherlisted.txt ; https://runway.adityaperswal.workers.dev/data/stock-snapshots?feed=iex ; https://query1.finance.yahoo.com/v8/finance/chart/ .

Premises: (1) future underlying variance affects long-option value; (2) a historical variance forecast may inform value but physical and risk-neutral distributions differ; (3) executable quote and model uncertainty gates are necessary. Method: IEX adjusted daily bars Jan2023-Sep4 2026, IBIT Jan2024 onward. Let r_t=log(C_t/C_t-1), v_t=r_t^2. OLS predicts mean(v_t+1...v_t+10) from intercept and means of prior5/21/63 daily v; train features before2025-12-15, purging10 future label sessions before2026. Variance floor1e-8; annualized sigma=sqrt252*prediction. Frozen holdout Jan2026 onward,16 nonoverlapping ten-session labels per symbol. Coefficients/each MSE and inputs recorded in per-symbol observations2915-2933. QQQ MSE1.1259e-8 vs RV21 baseline1.6753e-8 (32.79% lower); SPY2.1827e-9 vs3.7162e-9; FXI2.5531e-8 vs5.8587e-9, EEM8.1043e-8 vs4.1328e-8 and TLT6.4004e-10 vs6.3178e-10 worse. Forecast estimatesQQQ16.3489%, SPY13.3867%, IWM21.2358%, PATH54.5551%. Soundness: small holdout, unconstrained negative coefficients, changing regimes, corporate actions, incomplete IEX coverage and physical/risk-neutral wedge limit inference. No volatility MSE translates into a known option win rate. Counterexample: steady low volatility after a large historical jump leaves elevated forecasts and overpriced tails. Source template https://runway.adityaperswal.workers.dev/data/stock-bars?symbols=QQQ&timeframe=1Day&start=2023-01-01&end=2026-09-05&adjustment=all&feed=iex . No causal macro claim or economic profit established. Conclusion: keep as research diagnostic; size zero.