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The Mathematical Concept of Measuring Risk

In: Risk - A Multidisciplinary Introduction

Author

Listed:
  • Francesca Biagini

    (University of München, Chair of Financial Mathematics, Department of Mathematics)

  • Thilo Meyer-Brandis

    (University of München, Financial Mathematics, Department of Mathematics)

  • Gregor Svindland

    (University of München, Financial Mathematics, Department of Mathematics)

Abstract

One of the key tasks in risk management is the quantification of risk implied by uncertain future scenarios which then has to be interpreted with respect to certain risk management decisions. Mathematically, the usual tool for doing so is a quantitative risk measure. The financial industry standard risk measure Value-at-Risk exhibits some serious deficiencies and a vital research activity has been ongoing to search for better alternatives. In this chapter we give an introduction to the general theory of monetary, convex, and coherent risk measures and present illustrating and motivating examples.

Suggested Citation

  • Francesca Biagini & Thilo Meyer-Brandis & Gregor Svindland, 2014. "The Mathematical Concept of Measuring Risk," Springer Books, in: Claudia Klüppelberg & Daniel Straub & Isabell M. Welpe (ed.), Risk - A Multidisciplinary Introduction, edition 127, chapter 0, pages 133-150, Springer.
  • Handle: RePEc:spr:sprchp:978-3-319-04486-6_5
    DOI: 10.1007/978-3-319-04486-6_5
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