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On the Validity of Value-at-Risk: Comparative Analyses with Expected Shortfall

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  • Yamai, Yasuhiro

    (Institute for Monetary & Econ Studies, Bank of Japan)

  • Yoshiba, Toshinao

    (Institute for Monetary & Econ Studies, Bank of Japan)

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    Abstract

    Value-at-risk (VaR) has become a standard measure used in financial risk management due to its conceptual simplicity, computational facility, and ready applicability. However, many authors claim that VaR has several conceptual problems. Artzner et al. (1997, 1999), for example, have cited the following shortcomings of VaR. (1) VaR measures only percentiles of profit-loss distributions, and thus disregards any loss beyond the VaR level ("tail risk"), and (2) VaR is not coherent since it is not sub-additive. To alleviate the problems inherent in VaR, the use of expected shortfall is proposed. In this paper, we provide an overview of studies comparing VaR and expected shortfall to draw practical implications for financial risk management. In particular, we illustrate how tail risk can bring serious practical problems in some cases.

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    Bibliographic Info

    Article provided by Institute for Monetary and Economic Studies, Bank of Japan in its journal Monetary and Economic Studies.

    Volume (Year): 20 (2002)
    Issue (Month): 1 (January)
    Pages: 57-85

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    Handle: RePEc:ime:imemes:v:20:y:2002:i:1:p:57-85

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    Cited by:
    1. Kerkhof, F.L.J. & Melenberg, B., 2002. "Backtesting for Risk-Based Regulatory Capital," Discussion Paper 2002-110, Tilburg University, Center for Economic Research.
    2. Fermanian, Jean-David & Scaillet, Olivier, 2005. "Sensitivity analysis of VaR and Expected Shortfall for portfolios under netting agreements," Journal of Banking & Finance, Elsevier, vol. 29(4), pages 927-958, April.

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