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A model for stocks dynamics based on a non-Gaussian path integral

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  • Paolinelli, Giovanni
  • Arioli, Gianni

Abstract

We introduce a model for the dynamics of stock prices based on a non quadratic path integral. The model is a generalization of Ilinski’s path integral model, more precisely we choose a different action, which can be tuned to different time scales. The result is a model with a very small number of parameters that provides very good fits of some stock prices and indices fluctuations.

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  • Paolinelli, Giovanni & Arioli, Gianni, 2019. "A model for stocks dynamics based on a non-Gaussian path integral," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 499-514.
    • Handle: RePEc:eee:phsmap:v:517:y:2019:i:c:p:499-514
    DOI: 10.1016/j.physa.2018.11.044
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    References listed on IDEAS

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    1. Adrian Dragulescu & Victor Yakovenko, 2002. "Probability distribution of returns in the Heston model with stochastic volatility," Quantitative Finance, Taylor & Francis Journals, vol. 2(6), pages 443-453.
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    3. Devreese, J.P.A. & Lemmens, D. & Tempere, J., 2010. "Path integral approach to Asian options in the Black–Scholes model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 780-788.
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    6. Giovanni Paolinelli & Gianni Arioli, 2018. "A path integral based model for stocks and order dynamics," Papers 1803.07904, arXiv.org.
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