文章基本信息

标题：Multivariate location-scale mixtures of normals and mean-variance-skewness portfolio allocation
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作者：Javier Mencía y Enrique Sentana
期刊名称：Documentos de Trabajo / Banco de España
印刷版ISSN：0213-2710
电子版ISSN：1579-8666
出版年度：2009
卷号：1
出版社：Banco de España
摘要：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.