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Investor’s behaviour and the relevance of asymmetric risk measures

Author

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  • Olga Bourachnikova

    (EM Strasbourg - École de Management de Strasbourg = EM Strasbourg Business School)

  • Thierry Burger-Helmchen

    (BETA - Bureau d'Économie Théorique et Appliquée - INRA - Institut National de la Recherche Agronomique - UNISTRA - Université de Strasbourg - UL - Université de Lorraine - CNRS - Centre National de la Recherche Scientifique)

Abstract

Numerous articles use the Markowitz mean-variance approach for computing the capital asset pricing model (CAPM) and to determine the best set of assets an investor should hold. But using a symmetric risk measure is not necessarily straightforward in the mind of many investors. Many other approaches to determine a portfolio composition, e.g. faith or other behavioral determinants, appear more natural. Especially an asymmetric downside risk approach is more appealing to many investors. This work investigates the differences between portfolios based on a symmetric and on an asymmetric risk measure. Based on the Behavioral Portfolio Theory (BTP) model by Shefrin and Statman and the Markowitz classical portfolio approach the authors compare portfolios composed by stocks of the French SBR 120 market over a period of 6 years. Simulation of 100,000 virtual portfolios over the study period shows that there are only minor differences between portfolios obtained by downside or symmetric risk. Therefore, the results leave room for taking into consideration other choice criteria to complete the approach, such as the computing power if an investor wants to use much more demanding downside risk methodology or faith bases selection criteria to pick the assets.

Suggested Citation

  • Olga Bourachnikova & Thierry Burger-Helmchen, 2012. "Investor’s behaviour and the relevance of asymmetric risk measures," Post-Print hal-02153058, HAL.
    • Handle: RePEc:hal:journl:hal-02153058
    Note: View the original document on HAL open archive server: https://hal.science/hal-02153058v1
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    References listed on IDEAS

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    1. John Y. Campbell & Martin Lettau & Burton G. Malkiel & Yexiao Xu, 2001. "Have Individual Stocks Become More Volatile? An Empirical Exploration of Idiosyncratic Risk," Journal of Finance, American Finance Association, vol. 56(1), pages 1-43, February.
    2. Alexander, Gordon J. & Baptista, Alexandre M., 2002. "Economic implications of using a mean-VaR model for portfolio selection: A comparison with mean-variance analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1159-1193, July.
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    Cited by:

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