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Testing downside risk efficiency under market distress

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Author Info
Jesus Gonzalo
Jose Olmo

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Abstract

In moments of distress downside risk measures like Lower Partial Moments (LPM) are more appropriate than the standard variance to characterize risk. The goal of this paper is to study how to compare portfolios in these situations. In order to do that we show the close connection between mean-risk efficiency sets and stochastic dominance under distress episodes of the market, and use the latter property to propose a hypothesis test to discriminate between portfolios across risk aversion levels. Our novel family of test statistics for testing stochastic dominance under distress makes allowance for testing orders of dominance higher than zero, for general forms of dependence between portfolios and can be extended to residuals of regression models. These results are illustrated in the empirical application for data from US stocks. We show that mean-variance strategies are stochastically dominated by mean-risk efficient sets in episodes of financial distress.

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Paper provided by Universidad Carlos III, Departamento de Economía in its series Economics Working Papers with number we084321.

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Date of creation: Sep 2008
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Handle: RePEc:cte:werepe:we084321

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Related research
Keywords: Comovements; Downside risk; Lower partial moments; Market Distress; Mean-risk models; Mean-variance models; Stochastic dominance;

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Find related papers by JEL classification:
C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General
C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
G1 - Financial Economics - - General Financial Markets

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    Other versions:
  5. Oliver Linton & Esfandiar Maasoumi & Whang, Yoon-Jae, 2002. "Consistent Testing for Stochastic Dominance: A Subsampling Approach," Cowles Foundation Discussion Papers 1356, Cowles Foundation, Yale University, revised Mar 2002. [Downloadable!]
    Other versions:
  6. Anderson, Gordon, 1996. "Nonparametric Tests of Stochastic Dominance in Income Distributions," Econometrica, Econometric Society, vol. 64(5), pages 1183-93, September. [Downloadable!] (restricted)
  7. Bawa, Vijay S, 1976. "Admissible Portfolios for All Individuals," Journal of Finance, American Finance Association, vol. 31(4), pages 1169-83, September. [Downloadable!] (restricted)
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    Other versions:
  13. Arzac, Enrique R. & Bawa, Vijay S., 1977. "Portfolio choice and equilibrium in capital markets with safety-first investors," Journal of Financial Economics, Elsevier, vol. 4(3), pages 277-288, May. [Downloadable!] (restricted)
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  15. Oliver Linton & Esfandiar Maasoumi & Yoon-Jae Whang, 2005. "Consistent Testing for Stochastic Dominance under General Sampling Schemes," Review of Economic Studies, Blackwell Publishing, vol. 72(3), pages 735-765, 07. [Downloadable!] (restricted)
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