Premises:1 raw SIP daily bars Jun2020–Sep18 2026, XLE Dec5split repaired once;2 scale daily open/priorclose gaps by current one-share67.37/64.63;3 compare downside per name with1.89/2.53 initial stop budgets. Source https://runway.adityaperswal.workers.dev/data/stock-bars . Pre2026 N1404 each exceeded its budget8times,both2;2026 N179 EEM7,XLE2,both0. Correlation+.43058/pre vs-.48382/2026 does not prevent name-level tails. Gross joint gap loss=max(0,-EEMgapUSD)+max(0,-XLEgapUSD), deliberately excludes offsetting gains: maxima6.68195/pre and3.86693/2026. Sum excess beyond individualstopbudgets max2.26195/pre,1.97693/2026;P99 0/pre versus1.35215/2026. The unconditional99th percentile can miss sparse pre2026 extreme events. Not actual stop fills: premarket enforcement, changing holding price and spread omitted. 2026 is chronological comparison already seen in earlier research, not unseen validation. March2020 absent. No retest of momentum, no Kelly/winrate from this statistic; one share stays.
Premises:1 retained prior adverse gap g EEM.125794155019,QQQ.109666233203,IWM.138906519177;2 r=2ATR/current reference close;3 stress=N*(r+(1-r)*2g+.005)+.50, N=floorcents min(280/3,250,(30-.50)/(r+(1-r)*2g+.005));4 current equity1000. Results [{"symbol":"QQQ","size":93.33,"stop":704.90264,"target":838.105473380901,"p90":0.1616958533244174,"rr":7.049793645687354,"stress":23.108077650841185},{"symbol":"IWM","size":93.33,"stop":277.666,"target":320.5246054777956,"p90":0.12821050854556687,"rr":5.661269113738809,"stress":28.421384363225883},{"symbol":"EEM","size":93.33,"stop":65.1435,"target":74.21425092953517,"p90":0.10717963493264468,"rr":3.8082432703605487,"stress":26.413232637416957}]. Combined77.942695 includes1.50 fixed cost reserve, whereas prior76.442695 excluded that reserve; no market deterioration or size change inferred. All modeled individual losses <30. Historical sampled extremes can be exceeded, so 3% is a sizing scenario not hard guarantee; complete loss of93.33 would exceed3%. Prior3644 EEM15/429 tail exceedances and3646 bootstrap retained, not rerun as new evidence. Source https://runway.adityaperswal.workers.dev/data/stock-bars . No calibrated live win odds or Kelly from an empty execution ledger; fixed mandate equal sizing prevails.
joint_with_reserve77.94
joint_without_reserve76.44
max_lot_stress28.42
per_lot93.33
R92006 Small conditional samples and shared equity risk constrain sizing confidence
Premises:1 raw split-normalized daily opens/prior closes Jun2020–Sep18 2026;2 scale each gap by current pending entries67.37/64.63 and sum;3 pre2026 threshold fixed before evaluating2026 in this script; no tuning or entry-rule test. Source https://runway.adityaperswal.workers.dev/data/stock-bars. Pre2026 N1404, Monday262 p05 -2.58684 versus other1142 -1.73772 dollars; Monday correlation .51757 vs .39917 other. 2026 N179, Monday33 p05 -1.19785 vs other146 -1.41480; correlation -.46855/-.49897. All-pre2026 p05 -1.848124 crossed3/179=1.67598% in2026. Joint minima -6.68195/pre and -3.65555/2026; excludes March2020 crash so not global stress. Formal temporal holdout, NOT previously unseen data: earlier runs inspected2026. MondayN33 and historical sector regime selection defeat claim of permanent hedge or Monday advantage. Facts end at historical measurements; forecasting recurrence is assumption. Keep one share, no sizing increase, no calibrated win odds/Kelly.
pre_n1404
holdout_n179
pre_Monday_n262
holdout_Monday_n33
pre_Monday_p05-2.59
holdout_Monday_p05-1.2
threshold-1.85
holdout_exceedances3
06UTC correlation regime and forward-period gap calibration
Premises:1 Fresh split-normalized adjusted SIP daily bars, source https://runway.adityaperswal.workers.dev/data/stock-bars .2 Evaluate current XLK/XLE/XLV equal basket, not historical rotating holdings.3 Estimate1% gap thresholds only on2021-06-02 through2025-12-31 and count breaches in2026-01-02 throughSep18. Pair correlations pre2026 XLK/XLE .315635,XLK/XLV .500392,XLE/XLV .293787;2026 -.247776,-.158572,-.078192. Equal daily-return basket annualized volatility16.7368% versus11.0104%; worst synchronized basket gap-3.322667% versus-.954476%. Per-symbol threshold/test: {"XLK":{"pre2026_gap_q01_pct":-2.5947445082801974,"test_breaches":2,"test_n":179,"test_breach_rate_pct":1.1173184357541899},"XLE":{"pre2026_gap_q01_pct":-3.1902366689284984,"test_breaches":4,"test_n":179,"test_breach_rate_pct":2.2346368715083798},"XLV":{"pre2026_gap_q01_pct":-1.3698510638297818,"test_breaches":3,"test_n":179,"test_breach_rate_pct":1.675977653631285}}. Conclusion recent negative correlation reduces measured basket variance, but XLE gap tail worsened: worst pre2026 -4.952927% versus2026 -5.792734%. Do not lower stress sizing from recent diversification. Validity direct historical comparison; soundness limited by small179-day recent sample, current-winner selection, adjusted feed, and observed data vintage. This chronological threshold check is not an untouched strategy holdout; no return/win-rate claim or revalidation of established premium. Would revise diagnostic with new independent completed observations, not macro headlines. All figures stored30442–43/30450.
pre_n1152
recent_n179
pre_ann_vol_pct16.74
recent_ann_vol_pct11.01
pre_worst_basket_gap_pct-3.32
recent_worst_basket_gap_pct-0.95
XLE_gap_breaches4
06UTC held-out gap calibration: EEM training tail undercovers later observations
Premises: 1 adjusted open/prior-close minus1 gaps from primary feed https://runway.adityaperswal.workers.dev/data/stock-bars?feed=sip&adjustment=all ; 2 fixed training2021–2024 N1004 and untouched-by-this-fit holdout2025–Sep18 2026 N429; 3 current basket selected ex post so this is measurement calibration, not OOS strategy return. Results [{"symbol":"EEM","train_n":1004,"test_n":429,"train_p01":-0.023161498373743362,"train_min":-0.052591847005536096,"test_min":-0.05737169009480214,"test_exceedances":15,"test_exceedance_rate":0.03496503496503497,"test_p01":-0.03355377029926494},{"symbol":"QQQ","train_n":1004,"test_n":429,"train_p01":-0.019642697452250054,"train_min":-0.05357022225224606,"test_min":-0.04140786749482395,"test_exceedances":7,"test_exceedance_rate":0.016317016317016316,"test_p01":-0.027485668992367554},{"symbol":"IWM","train_n":1004,"test_n":429,"train_p01":-0.0225591653094287,"train_min":-0.0527219225110348,"test_min":-0.04711779448621556,"test_exceedances":5,"test_exceedance_rate":0.011655011655011656,"test_p01":-0.02526703165930107}]. Common-date thresholds exceeded in >=2 names on7 days, all3 on2. EEM lower1% training threshold has3.4965% holdout exceedance, versus QQQ1.6317/IWM1.1655%; stationarity unsupported. Historical worst equal93.33 basket overnight loss10.637725USD. Counterexample QQQ/IWM holdout minima less negative than train; no universal worsening claimed. Selected basket, adjusted-price proxy, serial dependence and provider revisions limit inference; no fees or stop implementation modeled. No new strategy proposed; retain existing larger stress envelope.
train_n1004
holdout_n429
EEM_exceed_percent3.5
QQQ_exceed_percent1.63
IWM_exceed_percent1.17
two_plus_coexceed7
all_three2
worst_holdout_gap_loss10.64
R92004 Conditional trade odds versus changing equity beta
Premises:1 provider docs https://docs.alpaca.markets/us/reference/stockbarsingle-1 define all as including cash-dividend/split adjustment.2 raw/all paired1584sessions throughSep18 show17/18 funds with changed closes; GLD unchanged.3 issuer EEM https://www.ishares.com/us/products/239637/ishares-msci-emerging-markets-etf provides10exdates Dec2021-Jun2026; XLE historical workbook https://www.ssga.com/library-content/products/fund-data/etfs/us/spdr-etf-historical-distributions.xlsx provides20 Sep2021-Jun2026. ImpliedD=Pprev*(1-factorPrev/factorEx),factor=all/raw, matches issuer within .008782/.007846 dollars at historical share scale. Exact-factor replacement changes EEM252 28.311639->28.301024%, XLEmean19.705216->19.711674%, XLEP90 .206279467->.206321613. EEMP90 unchanged .107179635. Raw split-only EEM25225.8543%,XLEmean18.0040%; no selection change. EEM adjusted lead over QQQ5.442623pp; sector XLK lead .330904pp, but EEM+XLK257.92 exceeds240 so XLE remains feasible selection. Validity: audit supports robust current selection; soundness: confirms sampled known payouts, not exhaustive absent-event detection, all16other issuer histories or reinvestment convention equivalence. Small errors consistent with price rounding but cause unproven. No discretionary cash/quarantine, no re-test of accepted premium.
EEM_checks10
XLE_checks20
EEM_max_error0.01
XLE_max_error0.01
EEM_corrected_return28.3
XLE_corrected_score19.71
EEM_lead_pp5.44
XLK_lead_pp0.33
Dividend deep dive: 231 issuer events reconcile; ranks and targets robust
Question: could missing dividends change fixed top3 or P90 targets? Premises:1 Matched1332 SIP bars/symbol throughSep18, requesting all versus split, conditional issuer Dec5 split repair.2 Primary SSGA historical-distributions XLSX supplies21 dated cash events per ETF,231 total within history2021–2026.3 Cash preDec5 halved only for five split ETFs. Sources https://runway.adityaperswal.workers.dev/data/stock-bars ; https://www.ssga.com/library-content/products/fund-data/etfs/us/spdr-etf-historical-distributions.xlsx ; https://docs.alpaca.markets/us/v1.4.2/reference/stockbars . Method compare daily change in all/split ratio against1-D/prior split close; max abs error2.284555bp,median.312859bp. Separately compound (close+D)/priorclose for explicit ex-date-close reinvestment. Mean21/63/126/252: XLK20.031631 vs feed20.036119%, XLE19.690286 vs19.705216%, XLV12.438596 vs12.442229%; fourth XLF5.427108 vs5.434559%. Max all11 mean difference.014930pp. Exact cash reinvest rolling60 P90 XLK18.364050/XLE20.636729/XLV10.623785% versus feed18.362192/20.627947/10.628648%; economically tiny target differences. Omitting dividends gives XLK19.7384/XLE18.0040/XLV11.5376% means, but still same basket and all11 SMA eligibility unchanged. All/split1269 historical closes differ per symbol, latest63 coincide since last June distribution. Conclusion dividend omission is not current issue; retain all-adjusted signals and targets. Validity: premise-to-rank comparison direct. Soundness limited by same feed prices, issuer revision risk, rounding and backward adjustment versus close-reinvestment convention; residual not zero and not proved solely rounding. Strong counterexample missing future distribution could still corrupt next run, so this is a dated reconciliation, not permanent certification. Two independent origins: issuer cash/splits and Alpaca pricing/specification, not11 independent validations. No strategy backtest or probability inference. Collection includes all fixed11, excludes out-of-universe assets and dividends before fetched price start.
events231
ETFs11
max_factor_error_bp2.28
median_factor_error_bp0.31
max_avg_difference_pp0.01
XLK_reinvest_P9018.36
XLE_reinvest_P9020.64
XLV_reinvest_P9010.62
Dividend adjustment sensitivity: top three unchanged, return definitions materially different
Premises:1 same-date all/split responses paired1434bars each;2 provider documents all includes cash dividends https://docs.alpaca.markets/us/reference/stockbars ;3 issuer independently lists EEM two distributions https://www.ishares.com/us/products/239637/ishares-msci-emerging-markets-etf . Source bars https://runway.adityaperswal.workers.dev/data/stock-bars . Deltas [{"symbol":"SPY","paired":1434,"different":1433,"ratio_min":0.9261785620226495,"ratio_max":1,"annual_delta_pp":1.5760769564364896,"p90_delta_pp":0.4172005003522758},{"symbol":"TLT","paired":1434,"different":1421,"ratio_min":0.829594647776466,"ratio_max":1,"annual_delta_pp":4.132788584956881,"p90_delta_pp":0.90325770973202},{"symbol":"EEM","paired":1434,"different":1367,"ratio_min":0.8851376146788991,"ratio_max":1,"annual_delta_pp":2.4573389290826197,"p90_delta_pp":0.3953725147457732},{"symbol":"EFA","paired":1434,"different":1367,"ratio_min":0.8426892950391646,"ratio_max":1,"annual_delta_pp":3.8661319021926266,"p90_delta_pp":1.035611784786218},{"symbol":"GLD","paired":1434,"different":0,"ratio_min":1,"ratio_max":1,"annual_delta_pp":0,"p90_delta_pp":0},{"symbol":"IWM","paired":1434,"different":1430,"ratio_min":0.934033446586948,"ratio_max":1,"annual_delta_pp":1.2069012127939427,"p90_delta_pp":0.3200818764750507},{"symbol":"QQQ","paired":1434,"different":1371,"ratio_min":0.966392634001973,"ratio_max":1,"annual_delta_pp":0.589354770642192,"p90_delta_pp":0.17181960145787878}]. All/split both selectEEM/QQQ/IWM; no SMA eligibility flips. IWM-SPY adjusted margin3.004713pp; SPY needs2.565342% extra cumulative gross-return correction relative to IWM to tie if other inputs fixed. This is sensitivity, not probability. EEM issuer .763266 Dec16 2025 and .350802 Jun15 2026 reconstruct28.309536% under ex-date-close reinvestment versus adjusted28.311639%, difference.002103pp. Event factor residual versus prior-close adjustment -.932622/+ .118150bp; rounding/convention can contribute, precise attribution unknown. Largest all/split annual differenceTLT4.132789pp; price-return ranking not legitimate substitute even though current selection unchanged. Counterexample: larger dividends near a future rank boundary could change selection. No sample-wide cashflow reconciliation; other ETFs/older dividends unverified independently. Validity: observed robustness supports retaining current selection only; soundness bounded by common provider error, not eliminated by two endpoints. No new strategy expectancy/backtest.
paired_per_ETF1434
EEM_reconstructed_return28.31
EEM_adjusted_return28.31
EEM_difference_pp0
IWM_SPY_margin_pp3
SPY_relative_correction_percent2.57
max_adjustment_delta_pp4.13
R92002 Conditional trade dispersion and half Kelly
Premises:1.Fixed L20 long-only chronological holdout tests3589–92 use https://runway.adityaperswal.workers.dev/data/stock-bars .2.Winrate/averagewin/averageloss%:CE17.647/21.6997/6.0195 N17;IMOS29.1667/16.6557/6.7616 N24;BTDR33.3333/42.9153/16.8298 N24;AMTX33.3333/41.2324/15.0053 N21. HalfKelly risk fractions max(0,.5*(p-(1-p)/b)) are0/.002054/.035946/.045360; these are stake-at-risk fractions, NOT capital allocation. 3.20000 IID bootstrap mean CIs allcrosszero: CE[-5.833,4.665]%,IMOS[-4.275,4.664],BTDR[-8.060,15.665],AMTX[-7.657,16.539]. Average positive trade returns can coexist with negative compounded returns; no arithmeticmean-as-PnL. Conclusion: uncertain regime-dependent distributions do not establish actual execution edge. No live postreset Supplytrades to estimate slippage; costs are assumptions. Candidate selection uses current winners and historical windows are not untouched prospective evidence. Actual size0 because cashvalue/currentrule gates fail, not because uncertainty itself forbids a convex probe.
CE_halfKelly_risk0
IMOS_halfKelly_risk0
BTDR_halfKelly_risk0.04
AMTX_halfKelly_risk0.05
R92002 new breakout calls pass coarse tail gate; corrected next-open samples and signed odds
Premises:1 normalized daily SIP https://runway.adityaperswal.workers.dev/data/stock-bars Jan2020–Sep18 2026.2 paired daily simple returns/gap=open/priorclose-1; dollar changes scaled by queued67.37/64.63.3 regime uses EEM prior20-session return shifted one day; exclude20 missing regime observations. Results {"n":1686,"corr_daily_full":0.4347195240162975,"corr_gap_full":0.4569284164365753,"corr_gap_252":-0.41657179298281216,"worst_joint_gap":-16.202745527979015,"worst_gap_date":"2020-03-16 04:00:00+00:00","gap_p01":-4.128705344478528,"regimes":{"eem_prior20_negative":{"n":710,"daily_corr":0.5130147784073572,"both_negative_fraction":0.2661971830985915,"joint_daily_p01_dollars":-6.527533356077146},"eem_prior20_nonnegative":{"n":956,"daily_corr":0.3226251399636696,"both_negative_fraction":0.2709205020920502,"joint_daily_p01_dollars":-4.125658972617217}}}. Interpretation: prior weak-EEM regime daily correlation .513 versus .323 in nonnegative regime; joint daily1% tail -6.53 vs-4.13. Both-down frequency alone misses severity. Recent252 gap correlation -.417 cannot establish hedge when full+.457. No causal claim, significance test or independent strategy validation; selection/survivorship and regime change remain. Actual own closedN0 means no measurable winrate, slippage or empirical halfKelly. Fixed one share, no discretionary size increase.
sample1686
weak_n710
nonnegative_n956
weak_corr0.51
nonnegative_corr0.32
weak_tail-6.53
nonnegative_tail-4.13
worst_gap-16.2
Down-day conditional correlation is not crisis diversification
Premises:1 current basket selected retrospectively;2 last1260 aligned daily returns throughSep18;3 subset599days equalweightedbasket<0. Source https://runway.adityaperswal.workers.dev/data/stock-bars?feed=sip&adjustment=all. Unconditional QQQ/IWM .778166,QQQ/EEM .692624,IWM/EEM .650545; downside subset .615061/.475723/.396780. Lower subset correlations are conditioned on a basket built from the same returns and restrict variation; cannot infer safe tail diversification or reduce gap envelope. Counterexample: common liquidation can impose simultaneous losses despite modest historical conditional correlation. Descriptive sample, no independent strategy expectancy or Kelly input.
sample1260
down_days599
QQQ_IWM0.78
QQQ_EEM0.69
IWM_EEM0.65
down_QQQ_IWM0.62
R92000 POWL trade dispersion, Kelly and distinct supply exposures
Premises:1.Costed L20 backtest3555 trades train49/holdout16/recent5 from https://runway.adityaperswal.workers.dev/data/stock-bars .2.NumPy20000IID resamples seed92000:95%meanCI train[-3.723,2.966]%,holdout[-5.924,13.196]%,recent[-4.230,32.607]%. Holdout avgwin27.949%/avgloss11.193%,win37.5%; halfKelly riskfraction .5*(p-(1-p)/b)=.06236,train0/recent.22371. This is fraction at risk under two-point payoff model, NOT6.24% portfolio allocation; gaps andcapitalcaps govern.3.FRO/POWL252dailyreturncorrelation.00122, sample alignment common2693dates; backward correlation does not exclude crisis convergence. No live Supplytrades to calibrate fillslippage. Conclusion:positive regimes meaningful but selected small sample means odds uncertain; no blind recent-only Kelly. Absence currentPOWL entry and unsupportedtarget remain binding,actualsize0. CIcrossingzero alone is not rejection rationale.
holdout_n16
holdout_win_pct37.5
avgwin_pct27.95
avgloss_pct11.19
CI_low-5.92
CI_high13.2
halfKelly_holdout0.06
halfKelly_recent0.22
correlation2520
R92000 inclusive Lamb Weston sample rejects the apparent near-pass; SFIX remains best rejection
Premises:1 current selected basket from3536;2 last1260 aligned close returns throughSep18;3 Pearson correlation is descriptive, not crisis conditional correlation. Correlations QQQ/IWM .778166,QQQ/EEM .692624,IWM/EEM .650545; worst single-day equal93.33 basket -15.1493USD. Source https://runway.adityaperswal.workers.dev/data/stock-bars?feed=sip&adjustment=all. Counterexample to diversification: correlations can rise toward1 during liquidation; historical worst daily close loss neither includes stop-through-gap mechanics nor bounds next loss. Today's winners were selected retrospectively; this is not an out-of-sample strategy test. Does not justify different ranking or size. Gap scenario76.4427 remains separate.