Post, G.T. (Erasmus Research Institute of Management (ERIM), RSM Erasmus University)
Abstract
This paper discusses statistical inference on the second-order stochastic dominance (SSD) efficiency of a given portfolio relative to all portfolios formed from a set of assets. We derive the asymptotic sampling distribution of the Post test statistic for SSD efficiency. Unfortunately, a test procedure based on this distribution involves low power in small samples. Bootstrapping is a more powerful approach to sampling error. We use the bootstrap to test if the Fama and French value-weighted market portfolio is SSD efficient relative to benchmark portfolios formed on market capitalization and book-tomarket equity ratio. During the late 1970s and during the 1980s, the market portfolio is significantly SSD inefficient, even if we use samples of only 60 monthly observations. This suggests that the size and book-to-market effects cannot be explained by omitted risk factors like higher-order central moments or lower partial moments.
Download Info
To download:
If you experience problems downloading a file, check if you have the
proper application to
view it first. Information about this may be contained
in the File-Format links below. In case of further problems read
the IDEAS help
file. Note that these files are not on the IDEAS
site. Please be patient as the files may be large.
Publisher Info
Paper provided by Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam. in its series Research Paper with number
ERS-2003-017-F&A Revision_Date: 2008-03-04.
References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.: