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Pricing And Hedging Of Vix Options For Barndorff-Nielsen And Shephard Models

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  • TAKUJI ARAI

    (Department of Economics, Keio University, 2-15-45 Mita, Minato-ku, Tokyo 108-8345, Japan)

Abstract

The VIX call options for the Barndorff-Nielsen and Shephard models will be discussed. Derivatives written on the VIX, which is the most popular volatility measurement, have been traded actively very much. In this paper, we give representations of the VIX call option price for the Barndorff-Nielsen and Shephard models: non-Gaussian Ornstein–Uhlenbeck type stochastic volatility models. Moreover, we provide representations of the locally risk-minimizing strategy constructed by a combination of the underlying riskless and risky assets. Remark that the representations obtained in this paper are efficient to develop a numerical method using the fast Fourier transform. Thus, numerical experiments will be implemented in the last section of this paper.

Suggested Citation

  • Takuji Arai, 2019. "Pricing And Hedging Of Vix Options For Barndorff-Nielsen And Shephard Models," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(08), pages 1-26, December.
    • Handle: RePEc:wsi:ijtafx:v:22:y:2019:i:08:n:s0219024919500432
    DOI: 10.1142/S0219024919500432
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    References listed on IDEAS

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