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October 10, 2025Open Access

Modelling Asset Price Dynamics with Investor Inertia: Diffusion with Advection and Fourth-Order Extension

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Authors

DSDenílson Paulo Souza dos SantosLPLuís Gustavo Bastos Pinho

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Overview

This model demonstrates how investor inertia impacts asset price dynamics, suggesting dual implications for trends and extremes.

Key Points

  • The model incorporates investor inertia, leading to improved fitting of asset price behavior.
  • It significantly improves over classic models, yielding better results for the real distribution of asset returns.
  • The approach uses a fourth-order extension stemming from diffusion-with-retention principles to capture heavy tails.
  • Empirical analysis based on Brazilian PETR4.SA data validates the model's superior performance in real-world contexts.

Cite This Study

Santos et al. (2025) studied this question.

synapsesocial.com/papers/68e861b07ef2f04ca37e4b69https://doi.org/10.48550/arxiv.2509.18488
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