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Perspective ∗

Title: Perspective ∗
Authors: László Á. Kóczy; Jel Code D; Péter Csóka; P. Jean-jacques; Herings László; Á. Kóczy
Contributors: The Pennsylvania State University CiteSeerX Archives
Source: http://edocs.ub.unimaas.nl/loader/file.asp?id=1164.
Publication Year: 2006
Collection: CiteSeerX
Subject Terms: Coherent Measures of Risk; General Equilibrium Theory; Exchange Economies; Asset Pricing JEL Classification; D51; G10; G12
Description: Coherent measures of risk defined by the axioms of monotonicity, subadditivity, positive homogeneity, and translation invariance are recent tools in risk management to assess the amount of risk agents are exposed to. If they also satisfy law invariance and comonotonic additivity, then we get a subclass of them: spectral measures of risk. Expected shortfall is a well-known spectral measure of risk is. We investigate the above mentioned six axioms using tools from general equilibrium (GE) theory. Coherent and spectral measures of risk are compared to the natural measure of risk derived from an exchange economy model, that we call GE measure of risk. We prove that GE measures of risk are coherent measures of risk. We also show that spectral measures of risk can be represented by GE measures of risk only under stringent conditions, since spectral measures of risk do not take the regulated entity’s relation to the market portfolio into account. To give more insights, we characterize the set of GE measures of risk.
Document Type: text
Language: English
Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.322.7574; http://edocs.ub.unimaas.nl/loader/file.asp?id=1164
Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.322.7574; http://edocs.ub.unimaas.nl/loader/file.asp?id=1164
Rights: Metadata may be used without restrictions as long as the oai identifier remains attached to it.
Accession Number: edsbas.28ACF7AB
Database: BASE