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Extending the Fama and French model with a long term memory factor

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  • López-García, M.N.
  • Trinidad-Segovia, J.E.
  • Sánchez-Granero, M.A.
  • Pouchkarev, I.

Abstract

In this paper, a new long-term memory factor for extending the well-known Fama and French model is proposed and discussed thoroughly. The new long-term memory factor is based on the Hurst exponent and is calculated using the fractal dimension (FD) algorithm. The relevance of the new factor is illustrated using a sample of 1500 largest U.S. companies from different sectors.

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  • López-García, M.N. & Trinidad-Segovia, J.E. & Sánchez-Granero, M.A. & Pouchkarev, I., 2021. "Extending the Fama and French model with a long term memory factor," European Journal of Operational Research, Elsevier, vol. 291(2), pages 421-426.
    • Handle: RePEc:eee:ejores:v:291:y:2021:i:2:p:421-426
    DOI: 10.1016/j.ejor.2019.07.071
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    Cited by:

    1. María Nieves López-García & Miguel Angel Sánchez-Granero & Juan Evangelista Trinidad-Segovia & Antonio Manuel Puertas & Francisco Javier De las Nieves, 2021. "Volatility Co-Movement in Stock Markets," Mathematics, MDPI, vol. 9(6), pages 1-19, March.
    2. Han, Jinhui & Li, Xiaolong & Ma, Guiyuan & Kennedy, Adrian Patrick, 2023. "Strategic trading with information acquisition and long-memory stochastic liquidity," European Journal of Operational Research, Elsevier, vol. 308(1), pages 480-495.
    3. Foued Sa^adaoui, 2023. "Structured Multifractal Scaling of the Principal Cryptocurrencies: Examination using a Self-Explainable Machine Learning," Papers 2304.08440, arXiv.org.
    4. Saâdaoui, Foued, 2023. "Skewed multifractal scaling of stock markets during the COVID-19 pandemic," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    5. Kerstin Lamert & Benjamin R. Auer & Ralf Wunderlich, 2023. "Discretization of continuous-time arbitrage strategies in financial markets with fractional Brownian motion," Papers 2311.15635, arXiv.org, revised Dec 2024.

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