Normal mixture GARCH (1, 1): applications to exchange rate modelling

Alexander, Carol and Lazar, Emese (2006) Normal mixture GARCH (1, 1): applications to exchange rate modelling. Journal of Applied Econometrics, 21 (3). pp. 307-336. ISSN 0883-7252

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Abstract

Some recent specifications for GARCH error processes explicitly assume a conditional variance that is generated by a mixture of normal components, albeit with some parameter restrictions. This paper analyses the general normal mixture GARCH(1,1) model which can capture time variation in both conditional skewness and kurtosis. A main focus of the paper is to provide evidence that, for modelling exchange rates, generalized two-component normal mixture GARCH(1,1) models perform better than those with three or more components, and better than symmetric and skewed Student's t-GARCH models. In addition to the extensive empirical results based on simulation and on historical data on three US dollar foreign exchange rates (British pound, euro and Japanese yen), we derive: expressions for the conditional and unconditional moments of all models; parameter conditions to ensure that the second and fourth conditional and unconditional moments are positive and finite; and analytic derivatives for the maximum likelihood estimation of the model parameters and standard errors of the estimates.

Item Type: Article
Schools and Departments: School of Business, Management and Economics > Business and Management
Subjects: H Social Sciences > HG Finance
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Depositing User: Carol Alexander
Date Deposited: 17 Sep 2012 09:33
Last Modified: 17 Sep 2012 09:33
URI: http://sro.sussex.ac.uk/id/eprint/40615
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