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Multi-asset generalized variance swaps in Barndorff-Nielsen and Shephard model

Author

Listed:
  • Subhojit Biswas

    (Indian Statistical Institute, Kolkata, India)

  • Diganta Mukherjee

    (Sampling and Official Statistics Unit, Indian Statistical Institute, Kolkata, India)

  • Indranil SenGupta

    (Department of Mathematics, North Dakota State University, Fargo, North Dakota, USA)

Abstract

This paper proposes swaps on two important new measures of generalized variance, namely, the maximum eigenvalue and trace of the covariance matrix of the assets involved. We price these generalized variance swaps for Barndorff-Nielsen and Shephard model used in financial markets. We consider multiple assets in the portfolio for theoretical purpose and demonstrate our approach with numerical examples taking three stocks in the portfolio. The results obtained in this paper have important implications for the commodity sector where such swaps would be useful for hedging risk.

Suggested Citation

  • Subhojit Biswas & Diganta Mukherjee & Indranil SenGupta, 2020. "Multi-asset generalized variance swaps in Barndorff-Nielsen and Shephard model," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 1-36, December.
  • Handle: RePEc:wsi:ijfexx:v:07:y:2020:i:04:n:s2424786320500516
    DOI: 10.1142/S2424786320500516
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