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Multivariate Asset Models Using Levy Processes and Applications

Ballotta, L. and Bonfiglioli, E. (2016). Multivariate Asset Models Using Levy Processes and Applications. The European Journal of Finance, 22(13), doi: 10.1080/1351847X.2013.870917

Abstract

In this paper we propose a multivariate asset model based on L´evy processes for pricing of products written on more than one underlying asset. Our construction is based on a two factor representation of the dynamics of the asset log-returns. We investigate the properties of the model and introduce a multivariate generalization of some processes which are quite common in financial applications, such as subordinated Brownian motions, jump diffusion processes and time changed L´evy processes. Finally, we explore the issue of model calibration for the proposed setting and illustrate its robustness on a number of numerical examples.

Publication Type: Article
Additional Information: This is an Accepted Manuscript of an article published in The European Journal of Finance on 10 April 2014, available online: http://www.tandfonline.com/10.1080/1351847X.2013.870917. Article in press.
Publisher Keywords: Jump Diffusion process, Levy processes, model calibration, multinames derivative contracts, time changed Brownian motions
Subjects: H Social Sciences > HG Finance
Departments: Cass Business School > Finance
URI: http://openaccess.city.ac.uk/id/eprint/3936
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