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Stock market dynamics

Author

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  • Baptista, M.S
  • Caldas, I.L

Abstract

We elucidate on several empirical statistical observations of stock market returns. Moreover, we find that these properties are recurrent and are also present in invariant measures of low-dimensional dynamical systems. Thus, we propose that the returns are modeled by the first Poincaré return time of a low-dimensional chaotic trajectory. This modeling, which captures the recurrent properties of the return fluctuations, is able to predict well the evolution of the observed statistical quantities. In addition, it explains the reason for which stocks present simultaneously dynamical properties and high uncertainties. In our analysis, we use data from the S&P 500 index and the Brazilian stock Telebrás.

Suggested Citation

  • Baptista, M.S & Caldas, I.L, 2002. "Stock market dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(3), pages 539-564.
  • Handle: RePEc:eee:phsmap:v:312:y:2002:i:3:p:539-564
    DOI: 10.1016/S0378-4371(02)00847-6
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    Citations

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    Cited by:

    1. F. Y. Ouyang & B. Zheng & X. F. Jiang, 2014. "Spatial and temporal structures of four financial markets in Greater China," Papers 1402.1046, arXiv.org.
    2. Olmedo,E. & Velasco, F. & Valderas, J.M., 2007. "Caracterización no lineal y predicción no paramétrica en el IBEX35/Nonlinear Characterization and Predictions of IBEX 35," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 25, pages 815-842, Diciembre.
    3. Ouyang, F.Y. & Zheng, B. & Jiang, X.F., 2014. "Spatial and temporal structures of four financial markets in Greater China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 236-244.
    4. Sen, Rituparna & Hsieh, Fushing, 2009. "A note on testing regime switching assumption based on recurrence times," Statistics & Probability Letters, Elsevier, vol. 79(24), pages 2443-2450, December.

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