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Referenzpunktbezogene risikoadjustierte Performancemaße : theoretische Grundlagen

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  • Albrecht, Peter
  • Klett, Timo

Abstract

The present contribution deals with a consistent and general foundation of target-based risk-adjusted performance measures. First of all measures of shortfall risk and upside reward are introduced to establish a basis for discussing the corresponding risk-adjusted performance measures afterwards. Thereby the authors concentrate on Omega- and Psi-Performance Measures. They present their most important properties and their connection with other risk-adjusted performance measures like the (Generalized) Downside Performance Ratio, the Upside Potential Ratio or the Sortino-Ratio. Finally first and second order Omega- and Psi-Performance Measures are derived for the normal distribution, the lognormal distribution and the Weibull distribution.

Suggested Citation

  • Albrecht, Peter & Klett, Timo, 2004. "Referenzpunktbezogene risikoadjustierte Performancemaße : theoretische Grundlagen," Papers 04-10, Sonderforschungsbreich 504.
    • Handle: RePEc:mnh:spaper:2734
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    File URL: https://madoc.bib.uni-mannheim.de/2734/1/dp04_10.pdf
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    References listed on IDEAS

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    1. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    2. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    3. Robert L. Winkler & Gary M. Roodman & Robert R. Britney, 1972. "The Determination of Partial Moments," Management Science, INFORMS, vol. 19(3), pages 290-296, November.
    4. Albrecht, Peter & Maurer, Raimond & Möller, Matthias, 1997. "Shortfall-Risiko/Excess-Chance-Entscheidungskalküle: Grundlagen und Beziehungen zum Bernoulli-Prinzip," Sonderforschungsbereich 504 Publications 97-17, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
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    1. Bessler, Wolfgang & Drobetz, Wolfgang & Henn Overbeck, Jacqueline, 2005. "Hedge Funds: Die Königsdisziplin" der Kapitalanlage," Working papers 2005/04, Faculty of Business and Economics - University of Basel.

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