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Coherent Measures of Risk

Open access
Artzner, Philippe, Delbaen, Freddy, Eber, Jean‐Marc, Heath, David·1999·Mathematical Finance

Abstract

In this paper we study both market risks and nonmarket risks, without complete markets assumption, and discuss methods of measurement of these risks. We present and justify a set of four desirable properties for measures of risk, and call the measures satisfying these properties “coherent.” We examine the measures of risk provided and the related actions required by SPAN, by the SEC/NASD rules, and by quantile‐based methods. We demonstrate the universality of scenario‐based methods for providing coherent measures. We offer suggestions concerning the SEC method. We also suggest a method to repair the failure of subadditivity of quantile‐based methods.

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Metadata

Authors
Artzner, P., Delbaen, F., Eber, J., & Heath, D.
Venue
Mathematical Finance
Publisher
Wiley
Published
1999-07
Volume
9
Issue
3
Pages
203-228
ISSN
  • 0960-1627 (ISSN-L)
  • 1467-9965
OpenAlex
W2019291268
Cited by
8,806
References
1
FWCI
106.16
Type
journal article
Language
en
Open access
bronze

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