Bivariate value-at-risk

In this paper we extend the concept of Value-at-risk (VaR) to bivariate return distributions in order to obtain measures of the market risk of an asset taking into account additional features linked to downside risk exposure. We first present a general definition of risk as the probability of an adv...

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Bibliographic Details
Main Author: Giuseppe Arbia
Format: Article
Language:English
Published: University of Bologna 2007-10-01
Series:Statistica
Online Access:http://rivista-statistica.unibo.it/article/view/404
Description
Summary:In this paper we extend the concept of Value-at-risk (VaR) to bivariate return distributions in order to obtain measures of the market risk of an asset taking into account additional features linked to downside risk exposure. We first present a general definition of risk as the probability of an adverse event over a random distribution and we then introduce a measure of market risk (b-VaR) that admits the traditional b of an asset in portfolio management as a special case when asset returns are normally distributed. Empirical evidences are provided by using Italian stock market data.
ISSN:0390-590X
1973-2201