Systematic stress tests with entropic plausibility constraints

Thomas Breuer, Imre Csiszár

Research output: Contribution to journalArticle

32 Citations (Scopus)


Stress tests with handpicked scenarios might misrepresent risks either because dangerous scenarios are not considered or because the scenarios considered are too implausible. To overcome these two pitfalls we propose a systematic search for the worst case within a relative entropy ball of sufficiently plausible scenarios. For this purpose we use mixed scenarios, which are risk factor distributions rather than realisations. A Maximum Loss theorem explicitly gives the worst case distribution. The method is illustrated in a number of example applications: linear and quadratic portfolios, stressed default probabilities, stressed correlations, macroeconomic stress tests.

Original languageEnglish
Pages (from-to)1552-1559
Number of pages8
JournalJournal of Banking and Finance
Issue number5
Publication statusPublished - May 1 2013



  • Model risk
  • Multiple priors
  • Relative entropy
  • Risk measures
  • Scenario analysis
  • Worst case

ASJC Scopus subject areas

  • Finance
  • Economics and Econometrics

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