Forecasting the density of asset returns
Abstract
In this paper we introduce a transformation of the Edgeworth-Sargan series expansion of the Gaussian distribution, that we call Positive Edgeworth-Sargan (PES). The main advantage of this new density is that it is well defined for all values in the parameter space, as well as it integrates up to one. We include an illustrative empirical application to compare its performance with other distributions, including the Gaussian and the Student's t, to forecast the full density of daily exchange-rate returns by using graphical procedures. Our results show that the proposed function outperforms the other two models for density forecasting, then providing more reliable value-at-risk forecasts.Download Info
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Paper provided by Suntory and Toyota International Centres for Economics and Related Disciplines, LSE in its series STICERD - Econometrics Paper Series with number /2004/479.Length:
Date of creation: Oct 2004
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Handle: RePEc:cep:stiecm:/2004/479
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Web page: http://sticerd.lse.ac.uk/_new/publications/default.asp
Related research
Keywords: Density forecasting; Edgeworth-Sargan distribution; probability integral transformations; P-value plots; VaR;Find related papers by JEL classification:
- C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
- C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-01-02 (All new papers)
- NEP-ECM-2005-01-02 (Econometrics)
- NEP-ETS-2005-01-02 (Econometric Time Series)
- NEP-FIN-2005-01-02 (Finance)
- NEP-RMG-2005-01-02 (Risk Management)
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Del Brio, Esther B. & Ñíguez, Trino-Manuel & Perote, Javier, 2011.
"Multivariate semi-nonparametric distributions with dynamic conditional correlations,"
International Journal of Forecasting,
Elsevier, vol. 27(2), pages 347-364, April.
- Del Brio, Esther B. & Ñíguez, Trino-Manuel & Perote, Javier, 2011. "Multivariate semi-nonparametric distributions with dynamic conditional correlations," International Journal of Forecasting, Elsevier, vol. 27(2), pages 347-364.
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