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Coherent Measures of Risk

Bibliographic Data

ID23366208
AuthorsPhilippe Artzner (Université de Strasbourg), Freddy Delbaen (0000-0003-2422-1433, Board of the Swiss Federal Institutes of Technology), Jean‐Marc Eber (Socotec (France)), David Heath (0000-0002-7963-9733, Carnegie Mellon University)
Year1999
Volume9
Issue3
Pages203-228
Publication date1999-07-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueMathematical Finance (JOURNAL)
Journal identifiersISSN: 0960-1627 • E-ISSN: 1467-9965
PublisherWiley (PUBLISHER • GB)
DOI10.1111/1467-9965.00068
OpenAlexW2019291268
LanguageEN
Citations received63

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.

Actuarial science · Business · Coherent risk measure · Dynamic risk measure · Econometrics · Economics · Expected shortfall · Financial economics · Market risk · Quantile · Risk analysis (engineering) · Risk management · Risk measure · Spectral risk measure · Subadditivity · Universality (dynamical systems) · Value at risk · Computer Science · Finance · Financial Risk and Volatility Modeling · Mathematics · Risk and Portfolio Optimization · Risk Management in Financial Firms

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Unique citing works63
Citations per year2,33
Citation span1999 - 2026 (28)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 55

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