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Towards Realistic and Interpretable Market Simulations: Factorizing Financial Power Law using Optimal Transport

Towards Realistic and Interpretable Market Simulations: Factorizing Financial Power Law using Optimal Transport ArXiv ID: 2507.09863 “View on arXiv” Authors: Ryuji Hashimoto, Kiyoshi Izumi Abstract We investigate the mechanisms behind the power-law distribution of stock returns using artificial market simulations. While traditional financial theory assumes Gaussian price fluctuations, empirical studies consistently show that the tails of return distributions follow a power law. Previous research has proposed hypotheses for this phenomenon – some attributing it to investor behavior, others to institutional demand imbalances. However, these factors have rarely been modeled together to assess their individual and joint contributions. The complexity of real financial markets complicates the isolation of the contribution of a single component using existing data. To address this, we construct artificial markets and conduct controlled experiments using optimal transport (OT) as a quantitative similarity measure. Our proposed framework incrementally introduces behavioral components into the agent models, allowing us to compare each simulation output with empirical data via OT distances. The results highlight that informational effect of prices plays a dominant role in reproducing power-law behavior and that multiple components interact synergistically to amplify this effect. ...

July 14, 2025 · 2 min · Research Team

Experimental Analysis of Deep Hedging Using Artificial Market Simulations for Underlying Asset Simulators

Experimental Analysis of Deep Hedging Using Artificial Market Simulations for Underlying Asset Simulators ArXiv ID: 2404.09462 “View on arXiv” Authors: Unknown Abstract Derivative hedging and pricing are important and continuously studied topics in financial markets. Recently, deep hedging has been proposed as a promising approach that uses deep learning to approximate the optimal hedging strategy and can handle incomplete markets. However, deep hedging usually requires underlying asset simulations, and it is challenging to select the best model for such simulations. This study proposes a new approach using artificial market simulations for underlying asset simulations in deep hedging. Artificial market simulations can replicate the stylized facts of financial markets, and they seem to be a promising approach for deep hedging. We investigate the effectiveness of the proposed approach by comparing its results with those of the traditional approach, which uses mathematical finance models such as Brownian motion and Heston models for underlying asset simulations. The results show that the proposed approach can achieve almost the same level of performance as the traditional approach without mathematical finance models. Finally, we also reveal that the proposed approach has some limitations in terms of performance under certain conditions. ...

April 15, 2024 · 2 min · Research Team