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A Comparison Of Mean-Variance Efficiency Tests

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  • Enrique Sentana

    () (CEMFI, Centro de Estudios Monetarios y Financieros)

  • Dante Amegual

    () (Princeton University)

Abstract

We analyse the asymptotic properties of mean-variance efficiency tests based on generalised methods of moments, and parametric and semiparametric likelihood procedures that assume elliptical innovations. We study the trade-off between efficiency and robustness, and prove that the fully parametric estimators provide asymptotically valid inferences when the conditional distribution of the innovations is elliptical but possibly misspecificed and heteroskedastic. We compare the small sample performance of the alternative tests in a Monte Carlo study, and find some discrepancies with their asymptotic properties. Finally, we present an empirical application to US stock returns, which rejects the mean-variance efficiency of the market portfolio.

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Bibliographic Info

Paper provided by CEMFI in its series Working Papers with number wp2008_0806.

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Date of creation: Apr 2008
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Handle: RePEc:cmf:wpaper:wp2008_0806

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Keywords: Adaptivity; elliptical distributions; financial returns; portfolio choice; semiparametric estimators.;

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