Valuing Exchange Options Under an Ornstein-Uhlenbeck Covariance Model

Olivares Pablo; Villamor Enrique

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arXiv · 1711.10013

Valuing Exchange Options Under an Ornstein-Uhlenbeck Covariance Model

Olivares Pablo·Villamor Enrique

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Abstract

In this paper we study the pricing of exchange options under a dynamic described by stochastic correlation with random jumps. In particular, we consider a Ornstein-Uhlenbeck covariance model with Levy Background Noise Process driven by Inverse Gaussian subordinators. We use expansion in terms of Taylor polynomials and cubic splines to approximately compute the price of the derivative contract. Our findings show that this approach provides an efficient way to compute the price when compared with a Monte Carlo method while maintaining an equivalent degree of accuracy with the latter.

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Olivares Pablo, Villamor Enrique. 2017-11-27. Valuing Exchange Options Under an Ornstein-Uhlenbeck Covariance Model. https://arxiv.org/abs/1711.10013

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