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Contribution Details

Type Book Chapter
Scope Discipline-based scholarship
Title Intrinsic Risk Measures
Organization Unit
Authors
  • Erich Walter Farkas
  • Alexander Smirnow
Editors
  • Kathrin Glau
  • Daniel Linders
  • Aleksey Min
  • Matthias Scherer
  • Lorenz Schneider
  • Rudi Zagst
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Booktitle Innovations in Insurance, Risk- and Asset Management
Place of Publication Munich
Publisher World Scientific Publishing
Page Range 163 - 184
Date 2018
Abstract Text Monetary risk measures classify a financial position by the minimal amount of external capital that must be added to the position to make it acceptable. We propose a new concept: intrinsic risk measures. The definition via external capital is avoided and only internal resources appear. An intrinsic risk measure is defined by the smallest percentage of the currently held financial position which has to be sold and reinvested in an eligible asset such that the resulting position becomes acceptable. We show that this approach requires less nominal investment in the eligible asset to reach acceptability. It provides a more direct path from unacceptable positions towards the acceptance set and implements desired properties such as monotonicity and quasi-convexity solely through the structure of the acceptance set. We derive a representation on cones and a dual representation on convex acceptance sets and we detail the connections of intrinsic risk measures to their monetary counterparts.
Free access at Official URL
Official URL https://www.worldscientific.com/doi/epdf/10.1142/9789813272569_0007
Digital Object Identifier 10.1142/9789813272569_0007
Other Identification Number merlin-id:22512
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Additional Information Proceedings of the Innovations in Insurance, Risk- and Asset Management Conference ; Innovations in Insurance, Risk- and Asset Management, Technical University of Munich, 5 – 7 April 2017