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Some new bivariate IG and NIG-distributions for modelling covariate financial returns

Lillestøl, Jostein
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URI
http://hdl.handle.net/11250/163897
Date
2007-02
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  • Discussion papers (FOR) [509]
Abstract
The univariate Normal Inverse Gaussian (NIG) distribution is found useful for modelling financial return data exhibiting skewness and fat tails. Multivariate versions exists, but may be impractical to implement in finance. This work explores some possibilities with links to the mixing representation of the NIG distribution by the IG-distribution. We present two approaches for constructing bivariate NIG distribution that take advantage of the correlation between the univariate latent IG-variables that characterizes the marginal NIG-distribution. These are readily available from the marginal estimation, either by maximum likelihood via the EM-algorithm or by Bayesian estimation via Markov chain Monte Carlo methods. A context for implementation in finance is given.
Description
(Revised 29.03.07)
Publisher
Norwegian School of Economics and Business Administration. Department of Finance and Management Science
Series
Discussion paper
2007:1

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