Document Type

Journal Article

Department/ Unit

Department of Economics

Abstract

Is it possible to obtain an objective and quantifiable measure of risk backed up by choices made by some specific groups of rational investors? To answer this question, in this paper we establish some behavior foundations for various types of VaR models, including VaR and conditional-VaR, as measures of downside risk. In this paper, we will establish some logical connections among VaRs, conditional-VaR, stochastic dominance, and utility maximization. Though supported to some extents with unanimous choices by some specific groups of expected or non-expected-utility investors, VaRs as profiles of risk measures at various levels of risk tolerance are not quantifiable – they can only provide partial and incomplete risk assessments for risky prospects. We also include in our discussion the relevant VaRs and several alternative risk measures for investors; these alternatives use somewhat weaker assumptions about risk-averse behavior by incorporating a mean-preserving-spread. For this latter group of investors, we provide arguments for and against the standard deviation versus VaR and conditional-VaRs as objective and quantifiable measures of risk in the context of portfolio choice.

Publication Year

2010

Journal Title

European Journal of Operational Research

Volume number

207

Issue number

2

Publisher

Elsevier

First Page (page number)

927

Last Page (page number)

935

Referreed

1

DOI

10.1016/j.ejor.2010.05.043

ISSN (print)

0377-2217

Link to Publisher’s Edition

http://dx.doi.org/10.1016/j.ejor.2010.05.043

Keywords

Decision analysis, Risk analysis, Risk attributes, Utility, Stochastic dominance

Included in

Economics Commons

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