GlueVaR risk measures in capital allocation applications |
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| Affiliation: | 1. Department of Econometrics, Riskcenter – IREA, University of Barcelona, Av. Diagonal 690, 08034 Barcelona, Spain;2. Decision and Cognitive Science Research Centre, Manchester Business School, Booth Street West, M15 6PB Manchester, United Kingdom;1. University of Amsterdam, Netherlands;2. Riskcenter, University of Barcelona, Spain;1. Department of Economics and CREIP, Universitat Rovira i Virgili, Avinguda de la Universitat 1, 43204 Reus, Spain;2. Department of Econometrics, Riskcenter-IREA, University of Barcelona, Avinguda Diagonal, 690, E-08034 Barcelona, Spain |
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| Abstract: | GlueVaR risk measures defined by Belles-Sampera et al. (2014) generalize the traditional quantile-based approach to risk measurement, while a subfamily of these risk measures has been shown to satisfy the tail-subadditivity property. In this paper we show how GlueVaR risk measures can be implemented to solve problems of proportional capital allocation. In addition, the classical capital allocation framework suggested by Dhaene et al. (2012) is generalized to allow the application of the Value-at-Risk (VaR) measure in combination with a stand-alone proportional allocation criterion (i.e., to accommodate the Haircut allocation principle). Two new proportional capital allocation principles based on GlueVaR risk measures are defined. An example based on insurance claims data is presented, in which allocation solutions with tail-subadditive risk measures are discussed. |
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| Keywords: | Subadditivity Tails Distortion risk measure Capital allocation Risk aversion |
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