Stats

A trading decision was made based on certain premises. A 52-week breakout sample with only four similar events showed a median move of 27.3899% and a P80, which is a measure of the 80th percentile, of 44.3186%. The P80 is a statistical term that means 80% of the values are below this number. At a stock price of $21.19, an October 16 call option with a strike price of $27 and a premium of $0.18 has a hurdle, or a threshold to overcome, of 28.2681%, which is just above the median. However, the intrinsic value, which is the value of the option if it were exercised immediately, is $3.5811, which is 19.8951 times the premium and passes the gate, or the minimum threshold, of 4 times the premium. In 2 out of 4 similar events, the terminal intrinsic value, which is the value at the end of the trading period, was positive. The bootstrap P80 gate frequency, which is a measure of the stability of the sample, is 69.115%, and the confidence interval, which is a range of values within which the true value is likely to lie, is between 13.3238% and 48.6125%. A counterexample, or an exception to the rule, could be a different market regime or a secondary offering that could erase the apparent tail, or the extreme value. In conclusion, buying one minimum contract is justified as a probe, or a test, of the tail, but not as proof of mispricing.

A Python analysis used 2540 complete adjusted open, high, low, and close observations from September 19, 2016, to September 16, 2026, to examine Elmos' return distribution and market covariance. The analysis found that the correlation between Elmos and the DAX was 0.352652, between Elmos and LFUS was 0.418820, and between LFUS and the DAX was 0.290343, based on 2026 common-date log returns. An ordinary least squares regression of Elmos against the DAX showed a coefficient of 1.082706 and an intercept of 0.001876274 per day, with an R-squared of 0.124363. However, this analysis is descriptive only and does not provide predictive alpha inference or causal attribution. The analysis also noted that US and German close times differ, and the DAX performance index and adjusted shares give imperfect comparability. During the September 8-9 SK announcement window, Elmos' return was -0.418988%, the DAX return was -1.657904%, and the LFUS return was -0.229342%. The primary supplier release occurred at 7 ET during European trading, providing no independent event edge. The annualized RV20 was 42.28358%, and the historical worst adjusted opening gap was -12.621354%, which is not a loss bound. The primary input for this analysis was from the Yahoo Finance chart endpoint for ELG.DE, with the same endpoint used for GDAXI and LFUS. The analysis found 10 dividend events with no splits returned, but did not conduct an independent full corporate action audit. The budgeted research does not generalize one issuer to the entire 200 million euro industry.

The automated trading fund manager analyzed the DSX replication with nine events. The analysis is based on two premises. Firstly, 2,693 daily bars from 2016 to September 18, 2026, were recovered in both raw and adjusted feeds. The close price was higher than the prior 252-day high, and the volume was at least 1.5 times the prior 20-21 session separation. The next open to the 20th session close yielded the same N9 as 3,797. The median return was 13.78313253%, and the P80 return was 17.5668586%. On October 16, the P3 was at $3.11/ask, with a hurdle of 7.7170418%, and the P80 intrinsic was 4.36329, which is 3.35638 times the hurdle, passing the median but not the 4x branch. Secondly, 50,000 independent and identically distributed event bootstrap samples, with a seed of 92104 and N9 each, gave a median 95% interval of 8.15863-18.72918% and a P80 interval of 13.67485-34.19689%. These intervals are for model sampling, not future move bounds. Five pre-December 14, 2023, warrant events had a median return of 15.3761% and a P80 return of 21.8227%. Four subsequent events had a median return of 13.6929% and a P80 return of 14.9867%. Both sets of events are small and not financing-matched samples. The raw price sensitivity retains matching event dates, and the 2022 May raw loss of 21.8333% versus the adjusted loss of 18.7292% illustrates that dividends distort price-only option mapping. The current target shares size is 100/standard DSX, confirmed, not adjusted DSX1. The June quarter GNK gain and September cash recycling mean the present structure differs from 2017/2021, and no causality regression can identify the financing contribution from the nine episodes. In conclusion, the numerical gate is robust to a simple era split, but there is no measured live option expected value. All nine signed event rows were recorded from March 29 to March 31, with price ceilings at unchanged S: median premium S*.1378313253 - (S-K) =.318655, and a 4x P80 ceiling of.109082. Cheaper price alone does not repair the spread or cause. The history proxy is not an observed option payoff. The sources of the data are https://runway.adityaperswal.workers.dev/data/stock-bars, https://runway.adityaperswal.workers.dev/data/option-chain/DSX?feed=indicative, and https://www.dianashippinginc.com/warrant-information/.

A news scan found the text of a trading fund manager's notes. The manager made three premises. First, they observed ordinary breakout reactions from 2021 to 2026 with 20 session endpoints and no new SIP history, using SIP403 and a separate IEX crosscheck. Second, they recomputed the median absolute value, which was 9.511654, and the percentage, which was 11.818182, on October 16 at a price of 20.75. The hurdle was 4.192771 percent and the gross payoff was 1.702273, which is 14.185606 times the initial investment. Third, they preserved the formal historical gate PASS and found that only one out of six terminal put profits was favorable, with a mean of 14.3712 USD from 2024-08-20. The manager used a bootstrap with 100,000 seeds and found a 95 percent mean interval of -14 to 71.1136. They also found that the cash-deal regime did not match the established outcomes and that the target needs a stock price of 18.2977, which is 10.0849 percent below the offer price of 20.35. The manager concluded that the old generic history does not estimate the current downside odds and that the validity of the model fails to transport after a binding deal. The bootstrap assumes independent and identical old events and omits the regime shift, and is not a probability band for the current trade. The strongest objection is that break risk can produce a put tail despite the deal. The manager needs a matched announced-cash-deal study or documented material deterioration with honest expiry-specific odds to change the rejection. No trade is authorized by this model. The sources are https://runway.adityaperswal.workers.dev/data/stock-bars and https://www.sec.gov/Archives/edgar/data/1436126/000114036126037107/ef20082419_ex99-1.htm.

The analysis is based on the following premises: the data is from the SIP all/split OHLC, with a vintage date of September 2021 and completion date of September 2018; the endpoints selected are from September 2018 to 2021 onward, with a pre-window previous close; the factor used is all close/split close; and an event occurs if the absolute daily factor change is greater than 0.001. The data source is https://runway.adityaperswal.workers.dev/data/stock-bars. Through 2025, the XLE18 events had a mean split opening gap of -0.752930%, an adjusted gap of 0.171235%, and a difference of 92.4165 basis points; the ordinary mean difference was 0.08361 basis points. The EEM9 events had a split gap of -1.356927%, an adjusted gap of -0.124978%, and a difference of 123.195 basis points; the ordinary difference was 0.07104 basis points. A chronological check for 2026 showed that the XLE2 events had a difference of 67.5283 basis points, and the EEM1 had a difference of 53.1497 basis points, which is too small for stable inference. All 20 XLE detected dates matched the issuer ex-dates found at https://www.ssga.com/library-content/products/fund-data/etfs/us/spdr-etf-historical-distributions.xlsx. The EEM dates were not independently matched. The conclusion is that dividend adjustment materially changes gap interpretation, but does not stop execution. A counterexample is the ordinary 2026 XLE worst gap of -5.78457%, which remains a genuine price risk beyond the accounting effect. The selection by factor change makes the difference partly mechanical; this is a measurement audit, not a causal return premium or backtest. There is no strategy fit or claim of unseen out-of-sample data.

A news scan found the report that dividend adjustments made at 04UTC altered certain gaps but did not change the current worst-tail sizing. The report matched 1254 daily gaps from 2021-09-21 to 2026-09-18 for a selected exchange-traded fund, or ETF, which is a type of investment fund that is traded on a stock exchange. The worst raw gaps were -5.739837% for EEM, -5.357103% for QQQ, and -5.274746% for IWM, and the worst all gaps were -5.737169%, -5.357022%, and -5.272192%. The largest raw and all differences were 1.839892 percentage points, 0.353658 percentage points, and 0.512930 percentage points. The EEM had its largest gap in December 2020 and 2023, which coincided with a distribution of 0.748036 by the issuer, which is the company that created the investment fund. The IWM had a gap of -0.448057% on September 15, 2026, compared to -0.188048% when adjusted for splits, and the issuer made a distribution of 0.750436. The raw twelve-month returns were 25.854300%, 22.279661%, and 18.925028%, versus adjusted returns of 28.311639%, 22.869016%, and 20.131929%, and the top-three relative ordering remained unchanged. The conclusion is that dividends, which are payments made to investors, materially affect individual gaps and return levels but not the measured worst gaps in this case. The report notes that counterexample distributions could dominate a calmer future sample, so both series should be retained. The selected basket is descriptive, not an out-of-sample edge, meaning it is used to describe the current situation, not to predict future results. The source of the data is https://runway.adityaperswal.workers.dev/data/stock-bars?feed=sip adjustments raw,split,all, and the issuer originals are in the observations.

A question was asked about whether corporate-action basis could change the selection on Monday. The analysis was based on two premises. First, the same 33 series of 11 ETFs, including raw, split, and all, were fetched from a website. Second, the provider of the data defines all as split, dividend, and spin-off, and raw as unadjusted. The rule requires adjusted returns. The findings showed that the eligible ranking was XLK with 20.034955%, XLE with 19.704288%, XLV with 12.444763%, and XLF with 5.419049% when all adjustments were included. The same ordering was seen when only split adjustments were included, with percentages of 19.737064%, 18.000057%, 11.537557%, and 4.692775% respectively. However, when only raw prices were used, the eligible ranking changed to XLV with 11.537557%, XLF with 4.692775%, XLK with 2.275285%, and XLE with 0.138153%, replacing XLE with XLF. A comparison of 12-month returns showed that XLK had a return of -30.147736% and XLE had a return of -28.536504% when raw prices were used, versus returns of 40.437523% and 47.372061% when all adjustments were included, indicating that splits can create false losses. The eligibility of the ETFs remained unchanged across different bases for all 11 ETFs. The difference between dividend-inclusive and split-only adjustments was calculated, with mean differences of 0.297891% for XLK, 1.704231% for XLE, and 0.907206% for XLV, attributed to non-split adjustments, chiefly distributions. However, the exact dividend amount was not verified. A counterexample to the claim that dividend-driven selection is important was found, as the same top 3 ETFs were selected without dividend adjustments. The valid inference is that splits are material to membership, but dividends are material to levels, but not to today's membership. The soundness of the analysis is limited to the same vendor and current vintage, and not independent market verification or point-in-time backtest. The collection of additional generic adjustment sources has been stopped, as the current data answers the question, although the exact dividend amount remains a separate unknown.

A news scan found the following text: Premises: For the years 2023-2025, L20 held-apart net trades were 20 basis points per side, with no own live closed trades, so no measured live slippage or win rate. This means that the results are based on simulated trades, not actual trades. The results are based on 20,000 bootstrap means, which is a statistical method, and selection and autocorrelation were not corrected, which refers to the relationships between the data points. The win rate for ATI was 42.105%, the average win was 20.151%, and the average loss was 6.471%, with a 95% mean confidence interval of -1.249% to 11.189%. The win rate for SEI was 35%, the average win was 26.102%, and the average loss was 10.057%, with a confidence interval of -5.059% to 11.123%. The half Kelly risk, which is a formula to determine the optimal bet size, was calculated as 0.5 times the probability of winning minus the probability of losing divided by the average win divided by the average loss. The results were 0.029794 for LFUS, 0.117571 for ATI, and 0.049780 for SEI. The risk budget was then divided by the loss fraction to determine the notional value, and then fund, venue, and gap caps were applied. However, these values are not recommended equity allocations. For 2026, the SEI volatility was 80.119%, and the beta, which measures the volatility of an asset compared to the overall market, was 2.694 for SPY. The correlation between LFUS and VSH was 0.70093, which shows a shared factor, but the beta of PXS was 0.122, which does not remove the single issuer loss. The worst observed SEI gap was -16.949% on January 27, 2025, but this is not the maximum possible gap. All statistics observed are based on actual data. Positive confidence intervals cross zero, and business regime changes limit the soundness of the results. The source of the data is https://runway.adityaperswal.workers.dev/data/stock-bars. No order was solely based on the Kelly criterion, which is a formula for determining the optimal bet size.

The R92102 census is a broad attempt to measure all listings, but it is not complete. It includes 12,416 US listings, 19 foreign equities, and eight crypto pairs. The census was created by trying to use all 13,221 non-test listings from the Nasdaq symbol directories from August 1 to September 18. Of these, 12,571 returned and 12,416 were measurable. The remaining 650 listings were missing, including 384 with unsupported symbol formats and 266 with valid formats that were missed after trying again. Additionally, 155 histories were too short. The census filtered out non-ETF listings with a close of less than $2 and a 20-day mean dollar volume of less than $1 million, resulting in 3,869 listings. Of these, 181 had breakouts in the prior 20 days. The 20-day distribution had a P10 of -15.3606%, a median of -3.4636%, and a P90 of +8.1108%. Some stocks, such as UMC, PXS, and SEI, are affordable breakout candidates. Others, such as ATI, LFUS, and VSH, are primary capacity candidates that are currently below their frozen breakout. The census also includes 19 foreign stocks and Brent, covering Japan, Korea, Taiwan, Europe, India, and Brazil, but not all foreign listings. DBHiTek had the strongest 20-day gain of +40.5797% and a 60-day loss of -17.2572%. The census also includes eight crypto pairs that completed on September 20, with AVAX having a 20-day gain of +56.3908% and an annual volatility of 86.9035%, and BTC having a 20-day gain of +3.3058%. However, there is no demonstrated token claim on paid industrial scarcity, so there is no mandate-based crypto entry. The sources used for the census include the Nasdaq trader website and other financial data websites. Every measured screen row was journaled in chunks, and missing coverage was named but not repaired beyond the discovery allowance.

The premises of this analysis include new breakout name chains from October 16 to November 20, which are fully paginated, and COST from October 2 to November 6, with quotes indicative of September 18. Current annual highs were checked with split-only and preliminary same-type 20 session distributions adjustment, all used for screening only where far from pass. The analysis includes data on several stocks, including NEO, NTRA, MPCN, TWSTN, and SMTCN, with their respective median prices and hurdles. For example, NEO has a median price of 5.9042 and a hurdle of 20.5424%, while NTRA has a median price of 6.8260 and a hurdle of 32.3804%. The analysis also includes data on MTW, HAFN, VNCE, and other stocks. The scope of the analysis is limited to empty chain only queried range/feed, not universal absence of listed options. The conclusion is that cheap distant legs are not convex edge by price alone, and there is no all-market no-opportunity claim. The analysis uses data from https://runway.adityaperswal.workers.dev/data/stock-bars and option-chain/{symbol}?feed=indicative, and every computed row/event/contract screen record is recorded.

A news scan found the text describing the automated trading fund manager's notes. The manager starts with no own trade history, so there is no empirical live fill, slippage, or stop frequency. The manager uses a frozen same-kind definition, which means a close above the prior 252 session high and a volume greater than 1.5 times the prior 20. The manager looks at the next session open to the 20th session close with a 21 session separation, using 2016 to September 18, 2026, SIP adjusted bars. The manager calculates the median absolute percentage for DSX, which is 13.78313%, and the P80, which is 17.56686%. The manager also calculates the median and P80 for NEON and MTWN. The current DSX price is 3.11, with a raw prior high of 3.10, and an October 16 P3 ask of 0.13, with an open interest of 247 as of September 17, and a bid of 0.08, with a spread of 38.4615% and a strike of 3.537% out of the money. The hurdle is 7.71704% below the median, and the P80 intrinsic is 0.436329, which is 3.356379 times the premium. The manager decides to pass via the median, not the 4x branch, because the signed terminal put payoff exceeds the premium 6 out of 9 times, and after a 2 USD cost, it is positive 5 out of 9 times, with a mean mapped intrinsic of 0.277754 and a mean net of 12.7754 per contract. The manager calculates that a terminal half Kelly of 19.886% of a 100 fund could support one 13 USD contract, but this excludes path stops and is not validated odds. The manager prefers a put for research, with a call of 0.28, an open interest of 408, and a spread of 35.714%, with an actual breakeven of 5.46624% and a conservative absolute distance plus premium of 12.54019%, which is still below the median. The manager decides that the new put is a numerically stronger implementation candidate than LW48USD, but it is not tradable overnight. The manager also looks at LW frozen N11 median and P80, and decides that it requires an October 5 exit, which is unchanged and rejected implementation. The manager notes that there are counterexamples to the DSX bear case and the cash case, and that fresh charter cash and momentum can extend, but small N, survivor selection, and financing regimes may invalidate history. The manager must adjudicate promptly, not bury the candidate behind model uncertainty. The sources of the data are https://runway.adityaperswal.workers.dev/data/stock-bars and /data/option-chain/DSX?feed=indicative, and option_contracts. Full event rows are recorded, but there is no actual option PnL from intrinsic.

A news scan found the following information about an automated trading fund manager's notes. The premises for the analysis are: the stock's closing price is higher than its highest price in the last 252 days, the volume is higher than the average volume of the last 20 days, and the daily turnover is at least 2 million. The analysis also considers a 20-session separation and a 20-session future close, using data from 2016 to September 18. New samples have been added for MG and DSX, which are split-only events. The median absolute values for these samples are: MG N6 with 9.511654%, P80 with 11.818182%; DSX N8 with 13.978504%, P80 with 20.085291%; and TRMD N11 with 6.819740%, P80 with 18.956380%. Earlier adjusted samples for DSX N9 and TRMD N15 have been preserved for sensitivity analysis. The analysis also looks at specific prices and hurdles for MG and DSX, including a 4.192771% hurdle for MG and a 7.717042% hurdle for DSX. The results show that some of these hurdles have been passed, but there are also some uncertainties, such as the unknown put open interest for MG. The analysis concludes that MG and DSX have gross passes that are qualified for review, but there are no orders while the market is closed, and there is no automatic win probability from absolute tail. The sources for this information include stock bars data, option chain data, and SEC filings, specifically https://runway.adityaperswal.workers.dev/data/stock-bars, option-chain/{symbol}?feed=indicative, option_contracts, and https://www.sec.gov/Archives/edgar/data/1057060/000119312526341302/d135056dex991.htm.

A study of Costco's nine events from May 2024 to May 2026 was conducted. The events were sourced from the issuer's calendar, which is available at https://investor.costco.com/events-and-presentations/. The study found that the median absolute move was 1.755193%, with a maximum move of 6.070162%. A separate analysis of option chain data from October 2 to November 6 showed 1134 legs, with 100 positive ask legs at $29.9814 or less. The nearest affordable option was on October 2, with an ask price of $18 and a bid price of $0.05 at a stock price of $895.31, which would require a 15.133306% move. All other affordable options were farther out of the money and failed. The study concluded that there was no trade opportunity for Costco, and the business's robust sales and earnings did not support a 15% earnings move. According to Costco's third-quarter report, sales were $69.15 billion, up 11.6%, with adjusted comparable sales up 6.6%, and EPS was $4.93, compared to $4.28. The study used data from https://runway.adityaperswal.workers.dev/data/stock-bars and /data/option-chain/COST. A news scan found the report at 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.

The automated trading fund manager made some observations based on data. They looked at the daily returns of some investments over a period of time and found that the performance of these investments is related. The correlations between QQQ and IWM, QQQ and EEM, and IWM and EEM over the past five years are 0.778152, 0.692313, and 0.649814 respectively. Over the last 60 days, these correlations are 0.711375, 0.833309, and 0.633538. IWM has fallen to 3.72733% of its simple moving average, EEM to 7.36752%, and QQQ to 8.27186%. The manager notes that annual momentum can be slow to react to a new reversal in the market. The correlation between these investments means they do not act like independent bets. A source of data is https://runway.adityaperswal.workers.dev/data/stock-bars?feed=sip&adjustment=all, which is a website that provides stock market data.

The automated trading fund manager analyzed the equity at 02UTC with a price of 999.38. The analysis was based on three premises: first, 3768 unchanged adjusted series and 1331 synchronized returns were refreshed; second, fixed equal slots were constrained by a 260 fund and 249.845 position cap; third, stress assumptions included a maximum gap of 10% or 2 times the absolute historical worst gap, plus 0.5% friction. The common number of slots, N, was calculated to be 86.66, and the risk ceiling of 125.52531 was found to be nonbinding. The source of the data was https://runway.adityaperswal.workers.dev/data/stock-bars. The historical worst gaps were -6.256806%, -5.793196%, and -2.639964%, and the stress gaps were 12.513612%, 11.586393%, and 10%. The per lot stress was 13.792109%, 13.489460%, and 11.106454%, which is below 19.9876. The joint stress was 38.388023%, which is 3.841% of the equity, but this is not a guaranteed loss maximum. The total instrument loss of 86.66 exceeds 2%, so the gaps are unbounded. The basket volatility was 16.089109%, the worst day was -7.087094%, and the correlations were 0.238532, 0.389867, and 0.241683. The selected sample for today's hindsight excludes extinct instruments and is not an unbiased strategy performance. There is no new information to justify repeated simulation, and the prior regime and block sensitivity remains 19.76-50.20% loss frequencies with static brackets. The specific equal-weight mandate supersedes generic Kelly guidance, and the target gross profit is 43.002165 if all targets are reached, but this is not an expectation.

The automated trading fund manager made some observations about the performance of a hedge. The manager used two main ideas: first, it looked at daily stock prices from a website, and second, it compared the opening price to the previous day's closing price, with a special preparation period. The manager did not fill in any missing prices. From September 20, 2021, to December 2025, the manager found a correlation of 0.354556 between two sets of data, but from 2026 onwards, the correlation was -0.483819. This means that the relationship between the two sets of data changed over time. The manager also found that the difference in performance between two periods was 26.487% versus 11.173%. The manager had previously left out some data, but when it added it back in, it found that the performance difference was small. The manager had already looked at recent data, so it was not a surprise. Because there were no closed trades, the manager could not calculate some important metrics, such as the win rate or average win and loss. The manager noted that a negative correlation does not necessarily mean the hedge is not working. The manager decided to keep the current strategy and not change it, and to maintain a minimum of one share.

A news scan found the headline about Cal-Maine Foods scheduling its first quarter fiscal 2027 earnings release for September 30. The company will discuss its results on a call at approximately 6:00 ET, with the call scheduled for 9:00 ET. This information is available at https://calmainefoods.gcs-web.com/news-releases/news-release-details/cal-maine-foods-schedules-first-quarter-fiscal-2027-earnings. An analysis of the company's last 12 consecutive quarters, from October 2023 to July 2026, was conducted using the issuer's HTML date published. The analysis included 31096 to 31107 observations, which contained exact source URLs, timestamps, and bars. No events were dropped for direction, and the April 2025 acquisition overlaps were retained. On September 18, the stock price was $72.89, and on October 16, the call option price was $0.07/$0.08. The option contracts had an open interest of 170, with a standard 100 shares and an expiry date 16 days after the event. The ask price of $8 seems like a small test, but it would require a 30.4431% rise in the stock price, compared to the median of 2.5597%, with a maximum of 13.8004%. The 80th percentile intrinsic value is 0, and the signed breakeven is 0/12. Numerical liquidity is not the same as payoff. The training data used was from before 2026, and a specific window from 2026 was held apart. These historical windows do not validate future predictions. One argument against this analysis is that a mix of acquisitions or a shift in egg prices could lead to larger future jumps, but the current history does not support a 30% jump. Both payoff alternatives were rejected, and no order was placed. The source of this data is https://runway.adityaperswal.workers.dev/data/stock-bars, with SIP adjustment for all, and https://runway.adityaperswal.workers.dev/data/option-chain/CALM?feed=indicative.

The Lamb Weston earnings report is expected on October 6. The company confirmed this on September 8. Historical data from January 2024 to July 2026 shows how the stock reacted to quarterly events. The current option price for a $46.67 strike on October 16 is $0.33/$0.48, with an open interest of 312 as of September 17. The $80 intrinsic value is 5.65455 times the premium, but it requires a pre-event exit on October 5. The median absolute value is 2.0675, with a 3.9327% correlation before the event. However, correct event arithmetic does not necessarily mean attainable pre-event gains. A counterargument is that IV expansion or a fundamental surprise could lead to gains before earnings, but this is not quantified. The $40 strike distance already exceeds the median, and a cheaper price alone cannot enable holding through at an unchanged spot. Alternative scenarios are considered, including a $40 strike at an unchanged $0.48 premium, which would require a stock price of $43.919588 or less. The data is available at https://runway.adityaperswal.workers.dev/data/stock-bars and https://runway.adityaperswal.workers.dev/data/option-chain/LW?feed=indicative. The sample size is small and non-stationary, and the absolute $80 value does not represent an 80% probability of put profit. It is recommended to recheck fresh quotes rather than repeat a model veto.

The automated trading fund manager analyzed Nike (NKE) based on 12 quarterly reports from September 2023 to June 2026. The median price move after these reports was 6.835675% and the median opening gap was 8.560669%. The analysis used the After-Market Close (AMC) convention, which is a timing method supported by the issuer's afternoon calls. On September 18, the stock price was $35.51, and on October 9, the ask price was $31.30, which would require a 13.54548% increase to reach the intrinsic value of $38.45, or 2.151683 times the current price. However, this increase is not possible, so both gates fail. The best gross return is 4 times the ask ceiling, which is $161.376, but this is reduced to $141.376 if the denominator is the all-in cost. The median return cannot cover the $4.51 strike distance at any positive premium. Other stocks, such as HALO and TH, had frozen matched breakouts, but their absolute tail passes were successful. The signed terminal payoffs for some of these stocks covered the premium plus $0.02. The conclusion is to maintain gross eligibility without treating the 80% success rate as a guarantee or inventing symmetric directional odds. The TH put was rejected as it does not fit the current directional thesis, not because the absolute gate failed. The SFIX put with a strike price of $2.5 and a hurdle of $21.831 is still 1.972 times the median of $16.578. The data source is https://runway.adityaperswal.workers.dev/data/stock-bars and /data/option-chain/NKE?feed=indicative, and the issuer dates were individually recorded.

The automated trading fund manager analyzed the stock R92100 and found that the correlation between its gap, which is the difference between the opening price and the previous closing price, and another stock changed sign. The analysis used raw split-normalized stock prices from September 2021 to December 2025, which showed a positive correlation of 0.349289, but from 2026, the correlation became negative at -0.483819. The dollar exposures were 67.37 and 64.31. The joint gap percentile was -3.442735 in the training period versus -2.640043 recently, indicating changing dependence between the two stocks. However, the recent sample size is too small to establish a reliable hedge. The analysis excluded dividend mechanical gaps and missing first fetch-day gaps, and no zeros were imputed. There were no closed live trades, so win rate, mean win/loss, session slippage, and Kelly criteria could not be identified. The prior fixed premium was accepted, but this analysis does not refit or retest the mandate. Buying one share of each stock would result in a 10% gap cost of 13.168, which is 1.3168% of equity, but not the maximum possible loss. Buying two shares per slot would exceed 140% of the book value. A common risk-off shock could make both stocks negative, regardless of their average correlation.

The premises of this update are as follows: the adjusted synchronous returns from June 2021 to September 2026 were obtained from https://runway.adityaperswal.workers.dev/data/stock-bars. The basket was selected today, so the historical equal-weight diagnostics are conditioned on this selection and do not represent a strategy backtest or an untouched holdout. The equity 1000 cap 260 dictates that each position is 86.66, assuming no tighter risk. A Python sample of 1331 showed an annualized daily volatility of 16.0891%, a worst basket day of -7.0871%, and pair correlations of 0.238532, 0.389867, and 0.241683. The selected ETF had worst negative open/prior close gaps of -6.256806%, -5.793196%, and -2.639964%. The gap size is calculated as g = max(0.10, 2 * absolute worst gap), and the risk is calculated as r = 2 * average true range / equity. The loss is calculated as N * (r + (1 - r) * g + 0.005). The common N is calculated as the floor of the minimum of 260/3, 250, and 19.99 / max loss fraction, which equals 86.66. The stress levels are 13.7921, 13.4895, and 11.1065, each less than 20, and the joint stress is 38.3880. Assuming a 0.5% friction and gaps of 12.5136%, 11.5864%, and 10%, arbitrary worse gaps can exceed 2% equity, so this is not guaranteed to be the maximum loss. The full premium is not at risk, as it would be for options, and the total loss of each ETF would cost 86.66. The positive sample correlation refutes the hedge guarantee. The target scenario basket gross profit of 43.0022 is neither an expectancy nor a probability forecast. A recorded 3650 Monte Carlo sensitivity analysis, which used 60,000 paths, static brackets, and recent versus older samples, was reused, as there was no new market day and the rounding/adjustment vintage did not supply independent evidence. The loss frequencies of 19.76% to 50.20% are not live odds or Kelly inputs, and there is no mandate for revalidation.

A news scan found the headline '00UTC attack basket: high shared correlation and narrow IWM regime cushion'. This refers to a market analysis that looked at how closely the prices of certain stocks moved together from September 21, 2021, to September 18, 2026, using 1254 observations. The analysis found that the stocks QQQ and IWM had a correlation of 0.778152, QQQ and EEM had a correlation of 0.692313, and IWM and EEM had a correlation of 0.649814 over the five-year period. In the latest 60 observations, these correlations were 0.711375, 0.833309, and 0.633538, respectively. This means that even though QQQ, IWM, and EEM represent different geographic areas, they still share common risks. The analysis also found that IWM had the weakest protection against losses, falling to its simple moving average by only 3.72733%, compared to EEM's 7.36752% and QQQ's 8.27186%. Despite IWM having a 20.13193% annual return, its protection against losses is the weakest. The analysis did not suggest making any discretionary exits during the month, and the initial eligibility criteria were refreshed before entry. The data for this analysis came from https://runway.adityaperswal.workers.dev/data/stock-bars?feed=sip&adjustment=all. This analysis is based on a selected sample and descriptive inference, and it does not provide any live win probability or Kelly estimate since there is no actual trading data to base it on.

A news scan found the headline about Nike's earnings on October 1 at approximately 16:15 ET. The company announced its first-quarter fiscal 2027 earnings and conference call, which can be found on their investor website. The analysis is based on 12 consecutive quarterly events from September 2023 to June 2026. The events are individual observations of the stock's close before the announcement and the next regular close, adjusted for the Securities Industry Processor, which is a system that processes and consolidates trade data. The absolute median return is 6.835675% and the 80th percentile return is 14.518459%. On October 9, the stock price was $35.51, with a put option price of $32.39 and a strike price of $32, and the open interest was 294. The spread was 17.0213% and the premium was 47, with an out-of-the-money percentage of 9.8845% and an expiry in 8 days past the event. The hurdle rate of 11.20811% fails to meet the median return. The put option needs a premium of less than or equal to $0.411376 to break even at the current stock price, but even with zero premium, it cannot cover the median return at a strike price of $32. Therefore, exiting the position before the event on September 30 remains necessary. No actual option backtest was performed for Nike, and no option returns were inferred from stock moves. The data was fetched directly from the investor relations website using Python, but the timing audit is not exact due to the lack of first-news timestamps. The small sample size and changes in tariff and accounting regimes limit the soundness of the forecast. The arithmetic is valid, but it does not establish real bid realization.

A news scan found the source SIP/all daily at https://runway.adityaperswal.workers.dev/data/stock-bars. As of 2026, the analysis of stocks LPG, BWLP, and CSTM shows the following: LPG has a beta of 0.4719, correlation of 0.1391, and annual volatility of 44.97%; BWLP has a beta of 0.3225, correlation of 0.1040, and volatility of 41.12%; CSTM has a beta of 2.0005, correlation of 0.5441, and volatility of 48.73%. The correlation between LPG and BWLP is 0.7668, indicating that low market beta does not make the two shipowners independent. The analysis of LPG's performance shows a base holdout of 17, with 6 wins and 11 losses, an average win of 20.4379%, and an average loss of 7.9172%, resulting in a mean of 2.0905%. A 20,000 iteration bootstrap simulation shows a 95% confidence interval of -4.2318% to 8.8474%. Recently, the confidence interval is -0.1053% to 17.8982%. For BWLP, the mean is -2.2291%, with a confidence interval of -6.9539% to 4.1100%. The binary average payoff half Kelly risk is 0.0511419 for LPG and 0 for BWLP. The risk fraction must be divided by the loss fraction to convert to notional, then capped, not 51 USD notional. The sample and selection uncertainty are substantial, and there are no live closed trades to calibrate slippage and probabilities. The worst observed open gaps are -22.275% for LPG on March 16, 2020, -13.299% for BWLP on April 4, 2025, and -19.625% for CSTM on October 23, 2024. A corporate action audit is not complete. These are descriptive bounds of the sample, not future loss limits. The prior is neutral, and the current evidence is positive for LPG, but not enough to justify a new order.

The automated trading fund manager analyzed 13 quarterly releases from June 2023 to June 2026. The daily reaction to these releases was recorded, with the median absolute close reaction being 9.1152815% and the mean signed reaction being 4.394818%. The manager used 50,000 bootstrap resamples with a seed of 92008 to estimate the median and 80% interval of the reaction, which were 6.986-12.683% and 10.860-19.954%, respectively. The current price of the stock is $7.99, with an ask price of $8.5 and a bid price of $8.38 for the October 2 call option. The strike price is 6.383% out of the money, with a hurdle of 11.7647%. The manager calculated the intrinsic value of the option and found that it was not worth buying. The same analysis was done for the October 2 put option, with a spread of 45.65% and a hurdle of 11.8899%. The manager rejected the current tickets. A news scan found the headline that BlackBerry will announce its fiscal second-quarter 2027 results on September 12, with the October 2 expiry 8 days later. The manager noted that the absolute tails do not imply that either direction will win 80% of the time, due to timing and business regime confounds.