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

[Zeitschriftenartikel]

Mencía, Javier
Sentana, Enrique

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 ... mehr

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.... weniger

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
https://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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© 2007 - 2025 Social Science Open Access Repository (SSOAR).
Based on DSpace, Copyright (c) 2002-2022, DuraSpace. All rights reserved.