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Random, but not so much: A parameterization for the returns and correlation matrix of financial time series


  • Andre C. R. Martins


A parameterization that is a modified version of a previous work is proposed for the returns and correlation matrix of financial time series and its properties are studied. This parameterization allows easy introduction of non-stationarity and it shows several of the characteristics of the true, observed realizations, such as fat tails, volatility clustering, and a spectrum of eigenvalues of the correlation matrix that can be understood as an extension of Random Matrix Theory results. The predicted behavior of this parameterization for the eigenvalues is compared with the eigenvalues of Brazilian assets and it is shown that those predictions fit the data better than Random Matrix Theory.

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  • Andre C. R. Martins, 2007. "Random, but not so much: A parameterization for the returns and correlation matrix of financial time series," Papers physics/0701025,
  • Handle: RePEc:arx:papers:physics/0701025

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    References listed on IDEAS

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    6. Jean-Philippe Bouchaud & Rama Cont, 1998. "A Langevin approach to stock market fluctuations and crashes," Science & Finance (CFM) working paper archive 500027, Science & Finance, Capital Fund Management.
    7. Cecchetti, Stephen G & Lam, Pok-sang & Mark, Nelson C, 1990. "Mean Reversion in Equilibrium Asset Prices," American Economic Review, American Economic Association, vol. 80(3), pages 398-418, June.
    8. Andersen, J.V. & Sornette, D., 2004. "Fearless versus fearful speculative financial bubbles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(3), pages 565-585.
    9. Broekstra, Gerrit & Sornette, Didier & Zhou, Wei-Xing, 2005. "Bubble, critical zone and the crash of Royal Ahold," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(3), pages 529-560.
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    Cited by:

    1. Camilo Rodrigues Neto & Andr' e C. R. Martins, 2007. "Multifractality in the Random Parameters Model," Papers 0710.5497,
    2. Ormerod, Paul, 2008. "Random Matrix Theory and Macro-Economic Time-Series: An Illustration Using the Evolution of Business Cycle Synchronisation, 1886-2006," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 2, pages 1-10.

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