Volatility, Variance and Covariance Swaps for BN-S Type Levy Process Driven Financial Markets

Abstract

The objective of this paper is to study the arbitrage free pricing of the covariance swap for Barndorff-Nielsen and Shephard type L\'evy process driven financial markets. One of the major challenges in arbitrage free pricing of swap is to obtain an accurate pricing expression which can be used with good computational accuracy. In this paper we obtain analytic expressions for the pricing of the covariance swap. We show that with the analytic expressions obtained from the Barndorff-Nielsen and Shephard model the error estimation in fitting the delivery price is much less than the existing models with comparable parameters. The models and pricing formulas proposed in this paper are computable in real time and hence can be efficiently used in practical applications.