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Multivariate location-scale mixtures of normals and mean-variance-skewness portfolio allocation

[Zeitschriftenartikel]

Mencía, Javier; Sentana, Enrique

Zitationshinweis

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Abstract We show that the distribution of any portfolio whose components jointly follow a location-scale mixture of normals can be characterised solely by its mean, variance and skewness. Under this distributional assumption, we derive the mean-variance-skewness frontier in closed form, and show that it can be spanned by three funds. For practical purposes, we derive a standardised distribution, provide analytical expressions for the log-likelihood score and explain how to evaluate the information matrix. Finally, we present an empirical application in which we obtain the mean-variance-skewness frontier generated by the ten Datastream US sectoral indices, and conduct spanning tests.
Klassifikation Wirtschaftsstatistik, Ökonometrie, Wirtschaftsinformatik
Freie Schlagwörter C52; C32; G11; Generalised hyperbolic distribution; Maximum likelihood; Portfolio frontiers; Sortino ratio; Spanning tests; Tail dependence
Sprache Dokument Englisch
Publikationsjahr 2009
Seitenangabe S. 105-121
Zeitschriftentitel Journal of Econometrics, 153 (2009) 2
DOI http://dx.doi.org/10.1016/j.jeconom.2009.05.001
Status Postprint; begutachtet (peer reviewed)
Lizenz PEER Licence Agreement (applicable only to documents from PEER project)
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