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Evaluating effects of excess kurtosis on VaR estimates: Evidence for international stock indices
Authors:J Samuel Baixauli  Susana Alvarez
Institution:(1) Department of Management and Finance, University of Murcia, Spain;(2) Department of Quantitative Methods for the Economy, University of Murcia, Spain;(3) Departamento de Organizacion de Empresas y Finanzas, Facultad de Economia y Empresa, 30100 Campus de Espinardo, Murcia, Spain;(4) Departamento de Metodos Cuantitativos para la Economia, Facultad de Economia y Empresa, 30100 Campus de Espinardo, Murcia, Spain
Abstract:The calculus of VaR involves dealing with the confidence level, the time horizon and the true underlying conditional distribution function of asset returns. In this paper, we shall examine the effects of using a specific distribution function that fits well the low-tail data of the observed distribution of asset returns on the accuracy of VaR estimates. In our analysis, we consider some distributional forms characterized by capturing the excess kurtosis characteristic of stock return distributions and we compare their performance using some international stock indices. JEL Classification C15 · G10
Keywords:Value at risk  Excess kurtosis  Low-tail behaviour  Nonparametric goodness-of-fit tests  Parametric bootstrap
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