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Model for correlations in stock markets

Noh1

  • 1Center for Theoretical Physics, Seoul National University, Korea.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 14, 2000
PubMed
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We introduce a group model to explain stock market correlations. This model reveals how stock price fluctuations within market groups connect to the overall correlation matrix

Area of Science:

  • Quantitative Finance
  • Statistical Physics

Background:

  • Understanding stock market correlations is crucial for financial risk management.
  • Empirical studies reveal complex spectral properties in stock market correlation matrices.

Purpose of the Study:

  • To propose a novel group model for analyzing stock market correlations.
  • To connect the spectral properties of correlation matrices with market structure.

Main Methods:

  • Development of a group model for stock market correlations.
  • Analysis of spectral properties of empirical correlation matrices using the model.

Main Results:

  • The proposed group model successfully explains the spectral properties of empirical correlation matrices.

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  • The model elucidates the relationship between correlation matrix spectra and underlying market group structures.

    • Conclusions:

    • The group model provides a framework for understanding complex correlations in stock markets.
    • This approach bridges the gap between spectral analysis and the structural organization of financial markets.