Has the interaction between skewness and kurtosis of asset returns information content for risk forecasting?

[EN] This paper introduces the effect of the crossed products of Hermite polynomials on Gram-Charlier densities. This allows capturing the impact of the interaction between skewness and kurtosis and evaluating this new parameter as an additional source of information for risk management. We show tha...

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Detalles Bibliográficos
Autores: Jiménez Jiménez, María Inés, Mora-Valencia, Andrés, Perote Peña, Javier
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/159500
Acceso en línea:http://hdl.handle.net/10366/159500
Access Level:acceso abierto
Palabra clave:Gram-charlier expansions
Skewness
Kurtosis
Value-at-risk
Median shortfall
Backtesting
5308 Economía General
Descripción
Sumario:[EN] This paper introduces the effect of the crossed products of Hermite polynomials on Gram-Charlier densities. This allows capturing the impact of the interaction between skewness and kurtosis and evaluating this new parameter as an additional source of information for risk management. We show that our modified Gram-Charlier density presents an improved accuracy, especially at distribution tails. Risk quantification is assessed for S&P500 losses with backtesting procedures for Value-at-Risk and Median Shortfall.