On the feasibility of portfolio optimization under expected shortfall

Abstract: We address the problem of portfolio optimization under the simplest coherent risk measure, i.e. the expected shortfall. As it is well known, one can map this problem into a linear programming setting. For some values of the external parameters, when the available time series is too short, the portfolio optimization is ill posed because it leads to unbounded positions, infinitely short on some assets and infinitely long on some others. As first observed by Kondor and coworkers, this phenomenon is actually a phase transition. We investigate the nature of this transition by means of a replica approach

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch
Notes
Postprint
begutachtet (peer reviewed)
In: Quantitative Finance ; 7 (2007) 4 ; 389-396

Classification
Wirtschaft

Event
Veröffentlichung
(where)
Mannheim
(when)
2007
Creator
Ciliberti, Stefano
Kondor, Imre
Mézard, Marc

DOI
10.1080/14697680701422089
URN
urn:nbn:de:0168-ssoar-221061
Rights
Open Access unbekannt; Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:36 AM CEST

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Associated

  • Ciliberti, Stefano
  • Kondor, Imre
  • Mézard, Marc

Time of origin

  • 2007

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