Value at Risk and Backtesting

  • Jürgen Franke
  • Wolfgang Karl Härdle
  • Christian Matthias Hafner
Part of the Universitext book series (UTX)


The Value-at-Risk (VaR) is probably the most known measure for quantifying and controlling the risk of a portfolio. The establishment of VaR is of central importance to a credit institute, since it is the basis for a regulatory notification technique and for required equity investments.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Jürgen Franke
    • 1
  • Wolfgang Karl Härdle
    • 2
  • Christian Matthias Hafner
    • 3
  1. 1.Department of MathematicsTechnische Universität KaiserslauternKaiserslauternGermany
  2. 2.Ladislaus von Bortkiewicz Chair of StatisticsHumboldt-Universität BerlinBerlinGermany
  3. 3.Louvain Institute of Data Analysis and Modeling in Economics and StatisticsUCLouvainLouvain-la-NeuveBelgium

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