990 resultados para Threshold function
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Magdeburg, Univ., Fak. für Mathematik, Diss., 2015
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Magdeburg, Univ., Fak. für Humanwiss., Diss., 2015
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Magdeburg, Univ., Fak. für Naturwiss., Diss., 2015
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Magdeburg, Univ., Fak. für Naturwiss., Diss., 2015
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Otto-von-Guericke-Universität Magdeburg, Fakultät für Naturwissenschaften, Univ., Dissertation, 2015
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Otto-von-Guericke-Universität magdeburg, Fakultät für Naturwissenschaften, Dissertation, 2015
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v.22:no.3(1938)
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Markowitz portfolio theory (1952) has induced research into the efficiency of portfolio management. This paper studies existing nonparametric efficiency measurement approaches for single period portfolio selection from a theoretical perspective and generalises currently used efficiency measures into the full mean-variance space. Therefore, we introduce the efficiency improvement possibility function (a variation on the shortage function), study its axiomatic properties in the context of Markowitz efficient frontier, and establish a link to the indirect mean-variance utility function. This framework allows distinguishing between portfolio efficiency and allocative efficiency. Furthermore, it permits retrieving information about the revealed risk aversion of investors. The efficiency improvement possibility function thus provides a more general framework for gauging the efficiency of portfolio management using nonparametric frontier envelopment methods based on quadratic optimisation.
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"Vegeu el resum a l'inici del document del fitxer adjunt."
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In this paper we propose the infimum of the Arrow-Pratt index of absolute risk aversion as a measure of global risk aversion of a utility function. We then show that, for any given arbitrary pair of distributions, there exists a threshold level of global risk aversion such that all increasing concave utility functions with at least as much global risk aversion would rank the two distributions in the same way. Furthermore, this threshold level is sharp in the sense that, for any lower level of global risk aversion, we can find two utility functions in this class yielding opposite preference relations for the two distributions.