Do Short-Dated Options Lead the Underlying Market?

Options volume has increased dramatically in recent years, particularly in very short-dated options (0DTE and 1DTE). One theory suggests that information extracted from option trading activity can predict future stock returns.

Along these lines, Reference [1] examines whether short-dated option prices lead stock prices. It analyzes 2025 data covering 30 U.S. underlyings and 77.44 million consecutive short-dated option trade pairs. The authors define an event as an empirical delta that violates the Black-Scholes-Merton delta bounds and treat these violations as a screen for option-stock desynchronization. The paper pointed out,

Short-dated option trade pairs that violate the frictionless delta bound contain information about where the underlying stock moves next, but the relevant horizon is measured in seconds. The evidence survives independent WRDS TAQ NBBO reconstruction and matched controls, appears in both 0DTE and non-0DTE contracts, and is consistent with hedge-pressure effects. A continuous version of the screen shows that the result is not an artifact of the discrete bound: the same-direction response grows smoothly with the distance between the empirical and model delta, and is already present for in-bound deviations that never cross the bound. The effect is far smaller than stock-side crossing costs, so it should be interpreted as price discovery rather than an outside trading strategy. The contribution is to show that option-to-stock price discovery can occur at the first-second horizon.

In short, the article concludes that short-dated option prices can lead stock quotes by about one second, but the economic effect reflects price discovery rather than exploitable profits after transaction costs. The lead is explained by hedging pressure, i.e., when inferred hedge pressure aligns with the event, continuation is positive, and when it is opposed to the event, continuation is negative.

The findings debunk the claim that short-dated option prices provide a tradable lead over the underlying stocks.

Let us know what you think in the comments below or in the discussion forum.

References

[1] Willeboordse, F. H. (2026). Seconds of price discovery: Evidence from short-dated options. Economics Letters

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Volatility Timing: Does It Really Add Value?

Volatility timing is the practice of adjusting portfolio exposure in response to changes in market volatility. Some practitioners regard volatility timing as one of the most effective tools in portfolio management. However, not everyone shares this view.

We have previously discussed how the effectiveness of volatility timing varies across industries and depends on several factors. Reference [1] goes deeper into this topic by examining 153 U.S. equity long-short factors over the 1972–2024 period. The paper investigates whether volatility-managed factor portfolios outperform their static counterparts and identifies the factor characteristics associated with any performance improvements. It examines several cross-sectional drivers, including volatility, skewness, excess kurtosis, maximum drawdown, downside volatility, and volatility persistence.

The authors pointed out,

This paper has examined whether volatility timing improves risk-adjusted returns across factor portfolios and sought factor characteristics which could explain its effectiveness. The results provide a nuanced answer to both questions. While volatility timing delivers modest improvements in performance on average, these gains are not consistently statistically significant, suggesting that it is not a universally reliable enhancement to factor investing.

At the same time, the analysis reveals substantial and systematic variation in timing performance across factors. This variation is not random, but closely linked to underlying risk characteristics, particularly downside risk and return asymmetry. Factors with greater exposure to adverse states such as momentum benefit more consistently from volatility management, indicating that the effectiveness of volatility timing depends on how risk is distributed across different market conditions rather than on its overall level.

The main contribution of the paper is therefore to clarify when volatility timing is most effective, rather than whether it works in general. By showing that timing gains are driven by downside and tail-related risks, the results provide a coherent explanation for the mixed evidence in the existing literature. It suggests that volatility timing should be applied selectively, focusing on factors whose risk is concentrated in adverse states, rather than uniformly across all factor portfolios.

In short, the paper concludes that volatility timing provides,

• Modest Sharpe improvement; however, the improvements are generally not statistically significant across factors;
• More consistently positive alpha. Alpha improvements are greater but still not universal;
• Lower realized volatility, not higher returns; however, the benefits differ substantially across factor themes.

The findings suggest that the benefits of volatility management are not universal but depend on the characteristics of the underlying factors. It works best for factors whose risk is concentrated in adverse downside states.

This article reminds us once again to question all claims in finance, and of volatility timing in particular.

References

[1] Sannerholm, F., & Jogdal, J. (2026). Is there an edge in volatility-managed portfolios? If so, where is it? University of Gothenburg, Graduate School, School of Business, Economics and Law.

Article Source Here: Volatility Timing: Does It Really Add Value?

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Explaining the Decline of Trend-Following CTAs

Regime change has become a recurring theme across financial markets. One of the most recognizable examples is the deterioration in the performance of trend-following Commodity Trading Advisors (CTAs) after the Global Financial Crisis.

Reference [1] investigates the reasons behind this shift using data from approximately 100 liquid futures contracts spanning 1995–2025, together with a CTA proxy. The paper evaluates four competing hypotheses,

1. Capacity constraints;
2. The electronification of futures markets;
3. A structural shift in the interaction between CTA trades and aggregate order flow; and
4. A microstructural mechanism whereby liquidity offered to trend followers has dried up.

The authors pointed out,

The interpretive frame we propose takes the self-fulfilling impact loop – signal → trade → impact → reinforced signal – as the mechanism through which trend exists in the first place. Trend followers do not merely harvest a pre-existing anomaly: their aggressive directional flow, mediated by impact, sustains the very price patterns they trade on. The loop has two preconditions: that aggressive execution be feasible at reasonable cost, and that the relationship between aggressive flow and price remain intact. Both held until roughly 2010 across the futures universe; since then, both have been compromised on small-tick contracts and preserved on large-tick ones.

The mechanism behind this asymmetry is the post-2008 transition to HFT-dominated market making, which replaced a generation of inventory-tolerant liquidity providers with one whose business model is structurally incompatible with absorbing predictable directional flow. The resulting liquidity withdrawal in front of CTA orders operates in both tick-size tiers, but its consequences are asymmetric. On dense large-tick books, residual depth at the best quotes and at deeper levels remains sufficient for execution to proceed largely unperturbed; the loop continues to turn, and both the signal and the PnL survive. On sparse small-tick books, withdrawal removes the residual depth that previously supported fast trend execution, forcing trend followers either to “walk the book” aggressively or to retreat from the contract altogether. As they retreated, the loop broke on its input side: the impact-mediated reinforcement of nascent trends disappeared along with the flow that produced it.

In short, the authors examine trend following through the lens of a momentum feedback loop. They reject the first three hypotheses and conclude that volatility-normalized tick size is the key factor distinguishing markets where trends persist from those where they collapse.

The paper argues that HFT-dominated market making disrupted this feedback loop, primarily in small-tick markets, by withdrawing liquidity in the presence of predictable directional order flow.

This study provides valuable insights into the mechanisms underlying trend following and the structural factors driving its changing performance.

Let us know what you think in the comments below or in the discussion forum.

References

[1] Kurth, J. G., Eisler, Z., Rej, A., & Bouchaud, J.-P. (2026). Is Trend Still Your Friend? A Microstructural Account of the Demise of Short-Term Trend-Following. arXiv:2607.01550

Article Source Here: Explaining the Decline of Trend-Following CTAs

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Closed-Form Option Pricing Under the Physical Measure

The Black–Scholes–Merton (BSM) model is one of the most celebrated option pricing models and remains widely used by academics and practitioners alike. At its core, it states that the value of an option equals the cost of replicating its payoff through continuous dynamic hedging. In practice, however, continuous rebalancing is neither feasible nor costless. Traders and risk managers hedge discretely, making the real-world distribution of the underlying asset increasingly important.

Despite its practical relevance, relatively little research has focused on option pricing under the physical measure. We previously discussed one such paper, and Reference [1] is another noteworthy contribution to this area.

The paper derives closed-form pricing formulas for European call and put options under the physical measure (P) by solving the Feynman–Kac partial differential equation under P. The author pointed out,

Furthermore, this physical measure perspective can be elegantly extended to practical pricing and capital allocation. The core idea is straightforward: by calculating the expected real-world payout u0 at maturity T, an option seller can determine the exact present value required to cover this expected liability by simply discounting it at the risk-free rate, yielding e^−rT u₀. This specific amount can be securely allocated today into risk-free bonds or a bank account, providing a robust, expectation-based capital reserve without relying on the flawed continuous hedging assumption. Moreover, this framework allows for a novel calibration approach. By inverting the closed-form physical expectation formula, we can extract the implied physical parameters—specifically the implied real-world drift µ (or m) and volatility σ—directly from the observed market prices of call and put options. This shifts the calibration paradigm from fitting unobservable risk-neutral parameters to backing out the market’s implied real-world expectations, grounding the pricing model in actual market consensus rather than theoretical arbitrage constraints.

So basically, under this framework, the risk-free rate in the BSM formula is replaced by the underlying's real-world drift, µ, resulting in the options prices under the physical measure.

Other interesting derivations in this paper are:

• The variance of the call payoff and a measure for economic capital as the discounted expected payoff plus a multiple of the payoff's standard deviation.
• A drift rho, a new sensitivity measuring the dependence of the expected option payoff on µ, showing that higher real-world drift increases the expected liability of a written call.

This paper explores an important research direction that traders and portfolio managers should be aware of. Although the author emphasizes applications for option sellers, the framework is equally relevant to option buyers and risk managers.

Let us know what you think in the comments below or in the discussion forum.

References

[1] Halidias, N. (2026), Beyond Risk-Neutral Pricing: The Practical Case for Physical Measure Expectations in Option Selling, Working Paper

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A Statistical Mechanical Model of Trend, Volatility, and Correlation

Trend and mean reversion have been studied extensively. However, Reference [1] takes a refreshing approach by applying a lattice model borrowed from statistical mechanics to analyze market trends. In a follow-up paper [2], the authors extend the model and examine the relationship between trend, future volatility, and correlations.

The study utilizes 33 years of daily data across 24 futures markets, spanning equities, interest rates, foreign exchange, and commodities. Trend horizons range from 2 to 1,024 trading days, with trend strength measured using the t-statistic, as in the previous paper. The authors pointed out,

The e and f terms refine such models by also taking current trends into account. The positive value of f implies that the variance tends to grow day after day in times of strong trends, which explains why it is high after trends have built up, as shown in fig. 1, right. The negative value of e shows that the variance grows faster in times of strong down-trends as opposed to up-trends. We have found that this asymmetry is particularly strong for equities and mostly stems from short-term trends. Since trends measure cumulative recent returns, this can be interpreted as the “leverage effect”: strong negative returns tend to be followed by an increase of the variance.

… Since g < 1, the correlation tends to revert to the long-term correlation. The o-term refines such models by taking trends into account. It implies, e.g., that the next-day correlation of two assets is about 0.1 − 0.2 higher (lower) than their average correlation, when both trends are strong (ϕ, ψ ≥ 2) and point in the same (opposite) direction.

In short, the paper finds that,

• Future volatility depends on current trend strength, not just current volatility,
• Future cross-asset correlations depend on the trend strengths of both assets. Strong common trends imply higher future correlations, especially in downtrends,
• The leverage effect is strongest for equities.

This study provides another interesting perspective on market trends and volatility through the lens of statistical mechanics. It has implications not only in trading but also in risk management.

Let us know what you think in the comments below or in the discussion forum.

References

[1] Sara A. Safari, Christof Schmidhuber, Trends and Reversion in Financial Markets on Time Scales from Minutes to Decades, arXiv:2501.16772

[2] Sara A. Safari, Christoph Schmidhuber, Trends, Volatility, Correlations, and Critical Phenomena in Financial Markets, arXiv:2606.20145

Originally Published Here: A Statistical Mechanical Model of Trend, Volatility, and Correlation

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How 0DTE Options Are Reshaping Market Dynamics

Market dynamics have changed since the COVID-19 pandemic, driven by several structural developments. One of the most notable has been the rapid growth of retail trading, particularly in short-dated options.

Reference [1] examines the impact of zero-days-to-expiration (0DTE) options on market dynamics using trade-level Cboe data for SPY, QQQ, and IWM options from 2012 to 2025. The study investigates how the introduction and expansion of 0DTE trading have altered option market behavior. The authors pointed out,

.. We find that the expansion of daily expirations is associated with a significant increase in ultra-short-dated (0–1DTE) trading, accompanied by evidence of maturity substitution away from both short-term (2–5DTE) and medium-term (6–30DTE) options. This shift is associated with a marked increase in directional trading intensity, particularly following Tuesday and Thursday expirations, as well as a rise in small trade activity consistent with increased retail participation. We also document a reflexive relationship between ultra-short-dated trading and directional behavior, suggesting that the growth of 0DTE options both reflects and reinforces speculative trading dynamics. We also find that the expansion of short-dated trading is associated with increased market maker intermediation, indicating greater hedging and liquidity provision demands in these markets. Additionally, we use ordinary least squares and instrumental variables regression strategies to estimate the relationship between expected volatility and increased trading volume in short-term (0–6DTE) options relative to long-term (≥7DTE) options. We find evidence that a higher percentage of short-term options volume is associated with a higher level of volatility expectations at a 30-day time horizon over our data period (2012–2024)...

In short, the paper concludes that weekly expirations have significantly increased 0–1DTE trading, shifting activity away from longer-dated options through a maturity-substitution effect. It also finds that directional trading and retail participation have increased, with 0DTE activity and directional trading reinforcing each other through a reflexive feedback mechanism. The paper shows that greater short-dated trading is associated with higher 30-day implied volatility and a flatter 7-day/30-day term structure.

These findings provide valuable insights into the evolving options market. The analysis of option trading activity by day of the week is particularly interesting as it may help explain the day-of-the-week seasonality observed in the options market.

Let us know what you think in the comments below or in the discussion forum.

References

[1] Dalvi, S., and LaFond, H., Effects of Weekly Option Introduction on Market Participant Behavior and Volatility Expectations. Working paper, 2026.

Post Source Here: How 0DTE Options Are Reshaping Market Dynamics

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Extending the Dealer Gamma Exposure Framework

Dealer Gamma Exposure (GEX) is an interesting concept that has gained attention in recent years and is now used by both retail and institutional traders. Reference [1], however, estimates that GEX calculations can have an error margin of 30% to 50%. The paper identifies several sources of GEX estimation error, notably,

• Dealer-position sign assumptions,
• Using a single ATM IV instead of the full volatility surface,
• Ignoring intraday (especially 0DTE) flows.

It also discusses situations where GEX may fail, including sovereign crises, physical commodity squeezes, geopolitical commodity shocks, and currency-peg or intervention regimes.

The author pointed out,

Dealer gamma exposure (GEX) has become the dominant retail and semi-institutional framework for interpreting equity index dynamics. This paper argues that GEX, while analytically valuable in stationary regimes, carries a quantifiable 30--50% error margin and fails systematically in the four market configurations that generate the largest dislocations: sovereign crises, physical commodity squeezes, geopolitical commodity shocks, and currency peg breaks. We propose a four-lens framework that retains GEX as a baseline (Lens 1: Gamma) and augments it with three additional dimensions: (ii) Vega Exposure, which identifies the structural short-volatility positioning that precedes regime ruptures through the five-step short-vol unwind mechanism; (iii) Risk Reversal (25-delta), which reads directional fear and greed through the options skew and produces the framework's single most important operational rule --- when RR contradicts GEX, follow RR; and (iv) Term Structure and Physical Signals, which integrates VIX forward curve dynamics, commodity lease rates, inventory drawdowns, and backwardation patterns to detect dislocations invisible to listed options data. The framework's decision rule is confluence: when three of four lenses align, the signal is actionable. Sizing follows a Bayesian Kelly criterion (Sukhov, 2026). The framework is validated against five publicly documented, time-stamped calls made by the author's research desk on the social platform X (formerly Twitter) prior to major market dislocations…

In short, the paper proposes an extension of the GEX framework. The original gamma exposure calculation is retained, but the framework is expanded to incorporate vega exposure, 25-delta risk reversal, term structure, and physical-market signals.

Under this broader framework, the author presents five documented market calls from August 2024 to February 2026, each posted publicly before the relevant event, including the August 2024 VIX spike, DeepSeek/NVDA, Iran-Hormuz oil, the dispersion break, and the silver squeeze.

GEX remains an interesting concept, and this paper provides a useful refinement of the framework, although the sample size is small. Let us know what you think in the comments below or in the discussion forum.

References

[1] Djouad, D., Beyond Dealer Gamma: A Four-Lens Framework for Reading Options Market Dislocations. CrossVol Research Working Paper. MPRA Paper No. 129365, 2026.

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Multi-Agent LLM Systems for Trading

Large language models (LLMs) are evolving rapidly, from early text-generation systems to the latest models capable of sophisticated reasoning and multi-step decision-making. Reference [1] applies LLMs to the development of a gold trading system. Unlike traditional quantitative models, which are typically built around forecasting future prices or returns, the authors use LLMs as a committee of analysts rather than as predictive models.

The objective is to test whether structured LLM reasoning can generate better trading decisions than conventional indicator-based approaches. Specifically, the framework consists of three agents responsible for data analysis, risk assessment, and trade decision-making. The authors employ Chain-of-Thought prompting and evaluate model performance across temperature settings ranging from 0.0 to 1.0. They pointed out,

In this study, we analyzed whether LLM-assisted trading strategies could achieve improved performance compared to traditional indicator-based strategies when applied to historical gold market data. More specifically, we examined how LLM-assisted strategies performed compared to baseline strategies under the same market conditions.

…The results suggest that LLM-assisted strategies outperformed the baseline strategies in terms of total return. The LLM-based strategies achieved returns ranging from 33.07% to 61.17%, while the best-performing baseline strategy reached 17.53%. Additionally, all LLM-assisted strategies achieved a Sharpe ratio above 1.0, whereas none of the baseline strategies surpassed that threshold. The temperature setting t = 0.5 resulted in the best overall performance and achieved the highest values across most performance metrics. This indicates that a moderate level of randomness in the LLM output may contribute positively to trading performance.

In short, the paper finds that all LLM-based strategies outperform the traditional technical-indicator benchmarks in terms of total return, while achieving Sharpe ratios above 1.0.

Although the study has several limitations, including a single asset, only 294 trading days of data, the absence of transaction costs, no incorporation of news or sentiment inputs, and no out-of-sample tests, it nevertheless offers an interesting direction for trading-system development. Rather than serving solely as forecasting engines, LLMs may be used as autonomous agents or as specialized decision-making modules within a broader trading framework.

Let us know what you think in the comments below or in the discussion forum.

References

[1] Phillips, A., & Emilsson, V. (2026), LLM-Assisted Gold Trading: Evaluating Reasoning-Based Strategies Against Technical Indicator Baselines, Bachelor's thesis, Department of Computer and Systems Sciences, Stockholm University.

Originally Published Here: Multi-Agent LLM Systems for Trading

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Does Gamma P&L Really Measure Convexity?

Decomposing option P&L into individual Greek contributions is a useful practice. The decomposition is typically derived from a Taylor expansion and serves both risk-management and research purposes. For example, some studies use gamma P&L as a measure of convexity and as a tool for analyzing the variance risk premium.

Reference [1] challenges this conventional interpretation. The authors argue that the gamma term, ½Γ(ΔS)², does not necessarily measure pure convexity. To support their argument, they compute the theoretical Black-Scholes gamma and compare it with an empirical gamma estimated from actual option price changes after removing delta and vega effects.

The authors pointed out,

…At the daily horizon, the ½*Γ_BS(∆S)² term loads primarily on vega contamination from negative spot–IV comovement rather than on convexity. The consequences are most direct for the variance risk premium literature that decomposes delta-hedged returns and attributes the ½*Γ_BS(∆S)² term to convexity exposure. If that term is dominated by vega contamination at the daily horizon, such attributions rest on a channel that is not identified….

…The broader implication is that Greek identification is horizon-specific. The Taylor channels do not scale uniformly with ∆t: delta, theta, vega, and gamma become observable at different rates, and cross-channel comovement can dominate the residual used to isolate a coefficient. A decomposition that is useful at one horizon can therefore fail at another unless the implied channel coefficients are checked directly.

The paper shows that correlations between theoretical and empirical gamma are close to zero at intraday horizons and become negative at daily horizons, ranging from -0.25 to -0.47.

In summary, the authors conclude that while the daily ½Γ(ΔS)² term can be calculated, it may largely reflect vega contamination arising from the leverage effect rather than pure convexity. Because spot and implied volatility are negatively correlated, volatility changes can be absorbed into the gamma term, distorting its interpretation.

Our experience is that the Greek P&L decomposition remains a useful approximation, particularly under normal market conditions. However, the paper’s findings reframe the conventional understanding of option convexity and the interpretation of gamma P&L.

Let us know what you think in the comments below or in the discussion forum.

References

[1] Willeboordse, F. H. (2026), Does Gamma Survive the Close? Finance Research Letters, Article 110281.

Originally Published Here: Does Gamma P&L Really Measure Convexity?

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Walk-Forward Analysis for Cryptocurrency Forecasting

In today's age of AI and machine learning, developing trading strategies from historical data is becoming increasingly accessible. As a result, a growing portion of the research process is shifting from model development to model validation. However, unlike the sell-side, where model validation guidelines are well established, the buy-side literature still lacks a coherent and unified framework for validating trading systems. Regardless of the modeling approach, walk-forward analysis remains an essential component of the validation process.

A walk-forward analysis repeatedly trains and tests a model on sequential time periods, providing a more realistic assessment of out-of-sample performance than the traditional single train-test split commonly used in the industry. Reference [1] applies a walk-forward testing framework to an ensemble of traditional statistical methods alongside modern neural approaches for cryptocurrency forecasting. The authors employ expanding-window walk-forward validation to avoid look-ahead bias and better mimic real-world deployment. They pointed out,

We introduced a reproducible walk-forward benchmark for cryptocurrency return and volatility forecasting. In the full benchmark, ARIMA remains strongest for one-day returns, Chronos is marginally strongest for seven-day returns, and PatchTST shows clear gains on one-day realized volatility, with a smaller and less statistically distinguished lead at the seven-day horizon. The broader lesson is methodological: in crypto forecasting, careful validation and strong baselines matter as much as model class. Our scope is intentionally narrow: daily data on five major assets, point forecasts only, and zero-shot use of one foundation model.

In short, the paper finds that neural and foundation models provide the greatest benefit when forecasting persistent signals such as volatility, but offer little advantage for noisy daily return prediction. More importantly, the results suggest that validation quality matters more than model novelty.

This paper once again emphasizes the importance of a robust model validation framework in systematic trading research.

Let us know what you think in the comments below or in the discussion forum.

References

[1] Korir, G., Mbalu, N., Aranotu, C., & Tekenah, H. (2026), When Do Neural Forecasters Help? A Walk-Forward Benchmark on Cryptocurrency Returns and Volatility, Working paper

Post Source Here: Walk-Forward Analysis for Cryptocurrency Forecasting

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