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Multivariate semi-nonparametric distributions with dynamic conditional correlations
Authors:Esther B Del Brio  Javier Perote
Institution:
  • a Department of Business and Finance, University of Salamanca, 37007 Salamanca, Spain
  • b Department of Economics and Quantitative Methods, Westminster Business School, University of Westminster, London NW1 5LS, UK
  • c Department of Economics, University of Salamanca, 37007 Salamanca, Spain
  • Abstract:This paper generalizes the Dynamic Conditional Correlation (DCC) model of Engle (2002), incorporating a flexible non-Gaussian distribution based on Gram-Charlier expansions. The resulting semi-nonparametric-DCC (SNP-DCC) model allows estimation in two stages and deals with the negativity problem which is inherent in truncated SNP densities. We test the performance of a SNP-DCC model with respect to the (Gaussian)-DCC through an empirical application of density forecasting for portfolio returns. Our results show that the proposed multivariate model provides a better in-sample fit and forecast of the portfolio returns distribution, and thus is useful for financial risk forecasting and evaluation.
    Keywords:Density forecasts  Financial markets  GARCH models  Multivariate time series  Semi-nonparametric methods
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