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Multivariate asset models using Lévy processes and applications

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  • Laura Ballotta
  • Efrem Bonfiglioli

Abstract

In this paper, we propose a multivariate asset model based on Lévy 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 Lévy processes. Finally, we explore the issue of model calibration for the proposed setting and illustrate its robustness on a number of numerical examples.

Suggested Citation

  • Laura Ballotta & Efrem Bonfiglioli, 2016. "Multivariate asset models using Lévy processes and applications," The European Journal of Finance, Taylor & Francis Journals, vol. 22(13), pages 1320-1350, October.
  • Handle: RePEc:taf:eurjfi:v:22:y:2016:i:13:p:1320-1350
    DOI: 10.1080/1351847X.2013.870917
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