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Stock Selection with Principal Component Analysis

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Abstract

We propose a stock selection method that is based on a variable selection method used with principal component analysis. We applied our method to stocks in the ASX200 and show that a portfolio of as little as 15 stocks can closely replicate the behaviour of the index. We show that the number of stocks required to form a diversified portfolio is not constant across time but varies with market conditions.

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  • Libin Yang & William Rea & Alethea Rea, 2015. "Stock Selection with Principal Component Analysis," Working Papers in Economics 15/03, University of Canterbury, Department of Economics and Finance.
    • Handle: RePEc:cbt:econwp:15/03
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    7. Driessen, J.J.A.G. & Melenberg, B. & Nijman, T.E., 2003. "Common factors in international bond returns," Other publications TiSEM 06a83942-b625-4d3c-808c-a, Tilburg University, School of Economics and Management.
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    12. Benoit Mandelbrot, 2015. "The Variation of Certain Speculative Prices," World Scientific Book Chapters, in: Anastasios G Malliaris & William T Ziemba (ed.), THE WORLD SCIENTIFIC HANDBOOK OF FUTURES MARKETS, chapter 3, pages 39-78, World Scientific Publishing Co. Pte. Ltd..
    13. Frahm, Gabriel & Wiechers, Christof, 2011. "On the diversification of portfolios of risky assets," Discussion Papers in Econometrics and Statistics 2/11, University of Cologne, Institute of Econometrics and Statistics.
    14. Daniel J. Fenn & Mason A. Porter & Stacy Williams & Mark McDonald & Neil F. Johnson & Nick S. Jones, 2010. "Temporal Evolution of Financial Market Correlations," Papers 1011.3225, arXiv.org, revised May 2011.
    15. Dale L. Domian & David A. Louton & Marie D. Racine, 2007. "Diversification in Portfolios of Individual Stocks: 100 Stocks Are Not Enough," The Financial Review, Eastern Finance Association, vol. 42(4), pages 557-570, November.
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    Cited by:

    1. Libin Yang & William Rea & Alethea Rea, 2017. "Financial Insights from the Last Few Components of a Stock Market PCA," IJFS, MDPI, vol. 5(3), pages 1-12, July.
    2. Libin Yang & William Rea & Alethea Rea, 2017. "Impending Doom: The Loss of Diversification before a Crisis," IJFS, MDPI, vol. 5(4), pages 1-13, November.
    3. Libin Yang & William Rea & Alethea Rea, 2015. "How much diversification potential is there in a single market? Evidence from the Australian Stock Exchange," Working Papers in Economics 15/07, University of Canterbury, Department of Economics and Finance.
    4. Nadège Ribau-Peltre & Pascal Damel & An Lethi, 2018. "A methodology to avoid over-diversification of funds of equity funds An implementation case study for equity funds of funds in bull markets," Post-Print hal-03027770, HAL.

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    More about this item

    Keywords

    Principal component analysis; stock selection; diversification; stock portfolios;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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