Coherent Measures of Risk

  title={Coherent Measures of Risk},
  author={Philippe Artzner and Freddy Delbaen and Jean-Marc Eber and David Heath},
  journal={Mathematical Finance},
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… 

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