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Journal of Banking & Finance Vol. 29 No. 4 2005

The choice of the distribution of asset returns: How extreme value theory can help?

François Longin1,2

1 CY Cergy Paris Université · 2 École Supérieure des Sciences Économiques et Commerciales

Abstract

One of the issues of risk management is the choice of the distribution of asset returns. Academics and practitioners have assumed for a long time (for more than three decades) that the distribution of asset returns is a Gaussian distribution. Such an assumption has been used in many fields of finance: building optimal portfolio, pricing and hedging derivatives and managing risks. However, real financial data tend to exhibit extreme price changes such as stock market crashes that seem incompatible with the assumption of normality. This article shows how extreme value theory can be useful to know more precisely the characteristics of the distribution of asset returns and finally help to chose a better model by focusing on the tails of the distribution. An empirical analysis using equity data of the US market is provided to illustrate this point.

DOI
10.1016/j.jbankfin.2004.08.011
Volume
29
Issue
4
Pages
1017-1035
Language
en
Sources
openalex crossref bibtex:phds-export.bib

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