Random processes for long-term market simulations

For long term investments, model portfolios are defined at the level of indexes, a setup known as Strategic Asset Allocation (SAA). The possible outcomes at a scale of a few decades can be obtained by Monte Carlo simulations, resulting in a probability density for the possible portfolio values at th

November 22, 2025 · 2 min · thequant.space

Reinforcement Learning for Portfolio Optimization with a Financial Goal and Defined Time Horizons

This research proposes an enhancement to the innovative portfolio optimization approach using the G-Learning algorithm, combined with parametric optimization via the GIRL algorithm (G-learning approach to the setting of Inverse Reinforcement Learning) as presented by. The goal is to maximize portfol

November 22, 2025 · 2 min · thequant.space

Superhedging under Proportional Transaction Costs in Continuous Time

We revisit the well-studied superhedging problem under proportional transaction costs in continuous time using the recently developed tools of set-valued stochastic analysis. By relying on a simple Black-Scholes-type market model for mid-prices and using continuous trading schemes, we define a dynam

November 22, 2025 · 2 min · thequant.space

Emergence of Randomness in Temporally Aggregated Financial Tick Sequences

Markets efficiency implies that the stock returns are intrinsically unpredictable, a property that makes markets comparable to random number generators. We present a novel methodology to investigate ultra-high frequency financial data and to evaluate the extent to which tick by tick returns resemble

November 21, 2025 · 2 min · thequant.space

Law-Strength Frontiers and a No-Free-Lunch Result for Law-Seeking Reinforcement Learning on Volatility Law Manifolds

We study reinforcement learning (RL) on volatility surfaces through the lens of Scientific AI. We ask whether axiomatic no-arbitrage laws, imposed as soft penalties on a learned world model, can reliably align high-capacity RL agents, or mainly create Goodhart-style incentives to exploit model error

November 21, 2025 · 2 min · thequant.space

Scaling Conditional Autoencoders for Portfolio Optimization via Uncertainty-Aware Factor Selection

Conditional Autoencoders (CAEs) offer a flexible, interpretable approach for estimating latent asset-pricing factors from firm characteristics. However, existing studies usually limit the latent factor dimension to around K=5 due to concerns that larger K can degrade performance. To overcome this ch

November 21, 2025 · 2 min · thequant.space

Dynamic Risk Assessment of Wildland-Urban Interface Fires

Wildland-Urban Interface (WUI) fires represent a compound disaster resulting from the interactions between natural ecosystems and human settlements, characterized by significantly dynamic evolving risks. However, most current risk assessment studies are based on static frameworks, which struggle to

November 20, 2025 · 2 min · thequant.space

Financial Information Theory

This paper introduces a comprehensive framework for Financial Information Theory by applying information-theoretic concepts such as entropy, Kullback-Leibler divergence, mutual information, normalized mutual information, and transfer entropy to financial time series. We systematically derive these m

November 20, 2025 · 2 min · thequant.space

Integration of LSTM Networks in Random Forest Algorithms for Stock Market Trading Predictions

The aim of this paper is the analysis and selection of stock trading systems that combine different models with data of different nature, such as financial and microeconomic information. Specifically, based on previous work by the authors and applying advanced techniques of Machine Learning and Deep

November 20, 2025 · 2 min · thequant.space

Machine Learning vs. Randomness: Challenges in Predicting Binary Options Movements

Binary options trading is often marketed as a field where predictive models can generate consistent profits. However, the inherent randomness and stochastic nature of binary options make price movements highly unpredictable, posing significant challenges for any forecasting approach. This study demo

November 20, 2025 · 2 min · thequant.space

Probability Weighting Meets Heavy Tails: An Econometric Framework for Behavioral Asset Pricing

We develop an econometric framework integrating heavy-tailed Student’s $t$ distributions with behavioral probability weighting while preserving infinite divisibility. Using 432{,}752 observations across 86 assets (2004–2024), we demonstrate Student’s $t$ specifications outperform Gaussian models in

November 20, 2025 · 2 min · thequant.space

Quantitative Geometric Market Structuralism: A Framework for Detecting Structural Endpoints in Financial Markets

This study introduces the Quantitative Geometric Market Structuralist (QGMS) framework a hybrid analytical methodology integrating geometric pattern recognition with quantitative mathematical modeling to identify terminal zones of large-scale market movements. Unlike conventional econometric or sign

November 20, 2025 · 2 min · thequant.space

Statistical Arbitrage in Polish Equities Market Using Deep Learning Techniques

We study a systematic approach to a popular Statistical Arbitrage technique: Pairs Trading. Instead of relying on two highly correlated assets, we replace the second asset with a replication of the first using risk factor representations. These factors are obtained through Principal Components Analy

November 20, 2025 · 2 min · thequant.space

Anonymization and Information Loss

We show that while anonymization effectively obscures firm identity, it significantly reduces the power of textual understanding, thereby diminishing models’ ability to extract meaningful economic signals from financial texts. This information loss is particularly severe when numerical and object en

November 19, 2025 · 2 min · thequant.space

Corporate Earnings Calls and Analyst Beliefs

Economic behavior is shaped not only by quantitative information but also by the narratives through which such information is communicated and interpreted (Shiller, 2017). I show that narratives extracted from earnings calls significantly improve the prediction of both realized earnings and analyst

November 19, 2025 · 2 min · thequant.space

HODL Strategy or Fantasy? 480 Million Crypto Market Simulations and the Macro-Sentiment Effect

Crypto enthusiasts claim that buying and holding crypto assets yields high returns, often citing Bitcoin’s past performance to promote other tokens and fuel fear of missing out. However, understanding the real risk-return trade-off and what factors affect future crypto returns is crucial as crypto b

November 19, 2025 · 3 min · thequant.space

Reinforcement Learning in Queue-Reactive Models: Application to Optimal Execution

We investigate the use of Reinforcement Learning for the optimal execution of meta-orders, where the objective is to execute incrementally large orders while minimizing implementation shortfall and market impact over an extended period of time. Departing from traditional parametric approaches to pri

November 19, 2025 · 2 min · thequant.space

Selective Forgetting in Option Calibration: An Operator-Theoretic Gauss-Newton Framework

Calibration of option pricing models is routinely repeated as markets evolve, yet modern systems lack an operator for removing data from a calibrated model without full retraining. When quotes become stale, corrupted, or subject to deletion requirements, existing calibration pipelines must rebuild t

November 18, 2025 · 2 min · thequant.space

The Hidden Constant of Market Rhythms: How $1-1/e$ Defines Scaling in Intrinsic Time

Directional-change Intrinsic Time analysis has long revealed scaling laws in market microstructure, but the origin of their stability remains elusive. This article presents evidence that Intrinsic Time can be modeled as a memoryless exponential hazard process. Empirically, the proportion of directio

November 18, 2025 · 2 min · thequant.space

Basis Immunity: Isotropy as a Regularizer for Uncertainty

Diversification is a cornerstone of robust portfolio construction, yet its application remains fraught with challenges due to model uncertainty and estimation errors. Practitioners often rely on sophisticated, proprietary heuristics to navigate these issues. Among recent advancements, Agnostic Risk

November 17, 2025 · 2 min · thequant.space