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Effect of changing data size on eigenvalues in the Korean and Japanese stock markets

Author

Listed:
  • Eom, Cheoljun
  • Jung, Woo-Sung
  • Kaizoji, Taisei
  • Kim, Seunghwan

Abstract

In this study, we attempted to determine how eigenvalues change, according to random matrix theory (RMT), in stock market data as the number of stocks comprising the correlation matrix changes. Specifically, we tested for changes in the eigenvalue properties as a function of the number and type of stocks in the correlation matrix. We determined that the value of the eigenvalue increases in proportion with the number of stocks. Furthermore, we noted that the largest eigenvalue maintains its identical properties, regardless of the number and type, whereas other eigenvalues evidence different features.

Suggested Citation

  • Eom, Cheoljun & Jung, Woo-Sung & Kaizoji, Taisei & Kim, Seunghwan, 2009. "Effect of changing data size on eigenvalues in the Korean and Japanese stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(22), pages 4780-4786.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:22:p:4780-4786
    DOI: 10.1016/j.physa.2009.07.023
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    References listed on IDEAS

    as
    1. Dong-Hee Kim & Hawoong Jeong, 2005. "Systematic analysis of group identification in stock markets," Papers physics/0503076, arXiv.org, revised Oct 2005.
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    5. Stephen A. Ross, 2013. "The Arbitrage Theory of Capital Asset Pricing," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 1, pages 11-30, World Scientific Publishing Co. Pte. Ltd..
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    7. Cheoljun Eom & Gabjin Oh & Seunghwan Kim, 2007. "Deterministic Factors of Stock Networks based on Cross-correlation in Financial Market," Papers 0705.0076, arXiv.org.
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    Cited by:

    1. Eom, Cheoljun, 2017. "Two-faced property of a market factor in asset pricing and diversification effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 190-199.
    2. Bommarito, Michael J. & Duran, Ahmet, 2018. "Spectral analysis of time-dependent market-adjusted return correlation matrix," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 273-282.
    3. Eom, Cheoljun & Park, Jong Won, 2021. "Investor attention, firm-specific characteristic, and momentum: A case of the Korean stock market," Research in International Business and Finance, Elsevier, vol. 57(C).
    4. Eom, Cheoljun & Park, Jong Won, 2018. "A new method for better portfolio investment: A case of the Korean stock market," Pacific-Basin Finance Journal, Elsevier, vol. 49(C), pages 213-231.
    5. Uechi, Lisa & Akutsu, Tatsuya & Stanley, H. Eugene & Marcus, Alan J. & Kenett, Dror Y., 2015. "Sector dominance ratio analysis of financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 488-509.
    6. Eom, Cheoljun & Kaizoji, Taisei & Livan, Giacomo & Scalas, Enrico, 2021. "Limitations of portfolio diversification through fat tails of the return Distributions: Some empirical evidence," The North American Journal of Economics and Finance, Elsevier, vol. 56(C).
    7. Eom, Cheoljun & Kwon, Okyu & Jung, Woo-Sung & Kim, Seunghwan, 2010. "The effect of a market factor on information flow between stocks using the minimal spanning tree," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1643-1652.

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