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Testing for Mean-Coherent Regular Risk Spanning

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  • Melenberg, B.
  • Polbennikov, S.Y.

    (Tilburg University, Center for Economic Research)

Abstract

Coherent risk measures have received considerable attention in the recent literature.Coherent regular risk measures form an important subclass: they are empirically identifiable, and, when combined with mean return, they are consistent with second order stochastic dominance.As a consequence, these risk measures are natural candidates in a mean-risk trade-off portfolio choice.In this paper we develop a mean-coherent regular risk spanning test and related performance measure.The test and the performance measure can be implemented by means of a simple semi-parametric instrumental variable regression, where instruments have a direct link with the stochastic discount factor.We illustrate applications of the spanning test and the performance measure for several coherent regular risk measures, including the well known expected shortfall.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2005-99.

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Date of creation: 2005
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Handle: RePEc:dgr:kubcen:200599

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Keywords: portfolio choice; coherent risk; spanning test;

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References

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  13. Polbennikov, S.Y. & Melenberg, B., 2005. "Mean-Coherent Risk and Mean-Variance Approaches in Portfolio Selection: An Empirical Comparison," Discussion Paper 2005-100, Tilburg University, Center for Economic Research.
  14. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
  15. Carlo Acerbi & Dirk Tasche, 2001. "Expected Shortfall: a natural coherent alternative to Value at Risk," Papers cond-mat/0105191, arXiv.org.
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  17. Gilbert W. Bassett, 2004. "Pessimistic Portfolio Allocation and Choquet Expected Utility," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 2(4), pages 477-492.
  18. Kerkhof, F.L.J. & Melenberg, B., 2002. "Backtesting for Risk-Based Regulatory Capital," Discussion Paper 2002-110, Tilburg University, Center for Economic Research.
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Cited by:
  1. Polbennikov, S.Y. & Melenberg, B., 2005. "Mean-Coherent Risk and Mean-Variance Approaches in Portfolio Selection: An Empirical Comparison," Discussion Paper 2005-100, Tilburg University, Center for Economic Research.

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