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Localized motion in random matrix decomposition of complex financial systems

Author

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  • Jiang, Xiong-Fei
  • Zheng, Bo
  • Ren, Fei
  • Qiu, Tian

Abstract

With the random matrix theory, we decompose the multi-dimensional time series of complex financial systems into a set of orthogonal eigenmode functions, which are classified into the market mode, sector mode, and random mode. In particular, the localized motion generated by the business sectors, plays an important role in financial systems. Both the business sectors and their impact on the stock market are identified from the localized motion. We clarify that the localized motion induces different characteristics of the time correlations for the stock-market index and individual stocks. With a variation of a two-factor model, we reproduce the return-volatility correlations of the eigenmodes.

Suggested Citation

  • Jiang, Xiong-Fei & Zheng, Bo & Ren, Fei & Qiu, Tian, 2017. "Localized motion in random matrix decomposition of complex financial systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 154-161.
    • Handle: RePEc:eee:phsmap:v:471:y:2017:i:c:p:154-161
    DOI: 10.1016/j.physa.2016.12.021
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    References listed on IDEAS

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