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Contribution Details

Type Conference or Workshop Paper
Scope Discipline-based scholarship
Published in Proceedings Yes
Title Intrinsic risk measures
Organization Unit
Authors
  • Erich Walter Farkas
  • Alexander Smirnow
Editors
  • Kathrin Glau
  • Daniël Linders
  • Aleksey Min
  • Matthias Scherer
  • Lorenz Schneider
  • Rudi Zagst
Presentation Type paper
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
ISBN 978-981-3272-55-2
Page Range 163 - 184
Event Title Innovations in Insurance, Risk- and Asset Management
Event Type conference
Event Location München
Event Start Date April 5 - 2017
Event End Date April 7 - 2017
Place of Publication New Jersey, USA
Publisher World Scientific Publishing Co. Pte. Ltd.
Abstract Text The common risk measure classifies a financial position by the minimal amount of external capital that must be added to the position to make it acceptable.We introduce a new concept: intrinsic risk measures, which provide a more direct path from unacceptable positions towards the acceptance set. External capital is avoided and only internal resources are used. 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 investment in the eligible asset to arrive at acceptable positions. It evades the problem of infinite values while desired properties such as monotonicity and quasi-convexity are preserved. 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.
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Digital Object Identifier 10.1142/11051
Other Identification Number merlin-id:15397
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