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Statistical inference of co-movements of stocks during a financial crisis

Author

Listed:
  • Takero Ibuki
  • Shunsuke Higano
  • Sei Suzuki
  • Jun-ichi Inoue
  • Anirban Chakraborti

Abstract

In order to figure out and to forecast the emergence phenomena of social systems, we propose several probabilistic models for the analysis of financial markets, especially around a crisis. We first attempt to visualize the collective behaviour of markets during a financial crisis through cross-correlations between typical Japanese daily stocks by making use of multi- dimensional scaling. We find that all the two-dimensional points (stocks) shrink into a single small region when a economic crisis takes place. By using the properties of cross-correlations in financial markets especially during a crisis, we next propose a theoretical framework to predict several time-series simultaneously. Our model system is basically described by a variant of the multi-layered Ising model with random fields as non-stationary time series. Hyper-parameters appearing in the probabilistic model are estimated by means of minimizing the 'cumulative error' in the past market history. The justification and validity of our approaches are numerically examined for several empirical data sets.

Suggested Citation

  • Takero Ibuki & Shunsuke Higano & Sei Suzuki & Jun-ichi Inoue & Anirban Chakraborti, 2013. "Statistical inference of co-movements of stocks during a financial crisis," Papers 1309.1871, arXiv.org.
    • Handle: RePEc:arx:papers:1309.1871
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    References listed on IDEAS

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    1. Garibaldi,Ubaldo & Scalas,Enrico, 2010. "Finitary Probabilistic Methods in Econophysics," Cambridge Books, Cambridge University Press, number 9780521515597, January.
    2. Aoyama,Hideaki & Fujiwara,Yoshi & Ikeda,Yuichi & Iyetomi,Hiroshi & Souma,Wataru Preface by-Name:Yoshikawa,Hiroshi, 2011. "Econophysics and Companies," Cambridge Books, Cambridge University Press, number 9781107403482, January.
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    Cited by:

    1. Mitsuaki Murota & Jun-ichi Inoue, 2014. "Large-scale empirical study on pairs trading for all possible pairs of stocks listed on the first section of the Tokyo Stock Exchange," Papers 1412.7269, arXiv.org, revised Mar 2015.

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