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Economic Theory Commons

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Finance

José Fajardo

2010

Generalized hyperbolic distributions; Multivariate distributions; Derivative pricing; Lévy processes

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Derivative Pricing Using Multivariate Affine Generalized Hyperbolic Distributions, José Fajardo, Aquiles Farias Jun 2010

Derivative Pricing Using Multivariate Affine Generalized Hyperbolic Distributions, José Fajardo, Aquiles Farias

José Fajardo

In this paper we use multivariate affine generalized hyperbolic (MAGH) distributions, introduced by Schmidt et al. (2006), to show how to price multidimensional derivatives when the underlying asset follows a MAGH distribution. We also illustrate the approach using market data from the BOVESPA (São Paulo Stock Exchange) and the exchange rate of the Brazilian Real vs. US Dollar to price some multidimensional derivatives.