2009
DOI: 10.1002/for.1155
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Incorporating higher moments into value‐at‐risk forecasting

Abstract: Value-at-risk (VaR) forecasting generally relies on a parametric density function of portfolio returns that ignores higher moments or assumes them constant. In this paper, we propose a simple approach to forecasting of a portfolio VaR. We employ the Gram-Charlier expansion (GCE) augmenting the standard normal distribution with the first four moments, which are allowed to vary over time. In an extensive empirical study, we compare the GCE approach to other models of VaR forecasting and conclude that it provides… Show more

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Cited by 33 publications
(23 citation statements)
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“…These fi ndings confi rm the importance of (even) higher co-moments in the density forecasting of fi nancial data, as observed previously for unidimensional variables (Guermat and Harris, 2002;Polanski and Stoja, 2009a). For example, for nominal α = 1% and 2%, the frequency of observations are %x = 2.4% and 3.7%, respectively.…”
Section: Out-of-sample Density Forecasting: Accuracysupporting
confidence: 86%
“…These fi ndings confi rm the importance of (even) higher co-moments in the density forecasting of fi nancial data, as observed previously for unidimensional variables (Guermat and Harris, 2002;Polanski and Stoja, 2009a). For example, for nominal α = 1% and 2%, the frequency of observations are %x = 2.4% and 3.7%, respectively.…”
Section: Out-of-sample Density Forecasting: Accuracysupporting
confidence: 86%
“…From this analysis, we can conclude that the fat-tailed and skewness distributions for conditional volatility outperform symmetric distribution in forecasting VaR. This result is in line with those presented by Xu and Wirjanto [8], Polanski and Stoja [9] and Chen et al [10]. The nature of the business models of these subsectors is different, each one presenting very different risk profiles.…”
Section: B the Value At Risk Of The Portfolio Representativesupporting
confidence: 79%
“…The next stage is to introduce more complex models of conditional variance and additional assumptions for the conditional distribution of residuals, assuming statistical significance of higher moments of random variables represented by returns observed on the metal market [Orhan, Koksal 2012;Polański, Stoja 2010].…”
Section: Discussionmentioning
confidence: 99%