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Quadratic hedging strategies for volatility swaps

Author

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  • Wang, Xingchun
  • Fu, Jianping
  • Wang, Guanying
  • Wang, Yongjin

Abstract

This paper investigates a variance-optimal hedging strategy for volatility swaps under exponential Lévy dynamics. To obtain the optimal initial capital and the optimal amount of the underlying asset, we derive the explicit expressions of the Föllmer–Schweizer decomposition, which in turn implies the explicit expressions of hedging strategies. Numerical results are presented to show the performances of variance-optimal hedging strategies through comparing with other hedging methods.

Suggested Citation

  • Wang, Xingchun & Fu, Jianping & Wang, Guanying & Wang, Yongjin, 2015. "Quadratic hedging strategies for volatility swaps," Finance Research Letters, Elsevier, vol. 15(C), pages 125-132.
    • Handle: RePEc:eee:finlet:v:15:y:2015:i:c:p:125-132
    DOI: 10.1016/j.frl.2015.09.002
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    References listed on IDEAS

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    1. Rüdiger Frey & Carlos A. Sin, 1999. "Bounds on European Option Prices under Stochastic Volatility," Mathematical Finance, Wiley Blackwell, vol. 9(2), pages 97-116, April.
    2. Lian, Guanghua & Chiarella, Carl & Kalev, Petko S., 2014. "Volatility swaps and volatility options on discretely sampled realized variance," Journal of Economic Dynamics and Control, Elsevier, vol. 47(C), pages 239-262.
    3. Martin Schweizer, 1995. "Variance-Optimal Hedging in Discrete Time," Mathematics of Operations Research, INFORMS, vol. 20(1), pages 1-32, February.
    4. Windcliff, H. & Forsyth, P.A. & Vetzal, K.R., 2006. "Pricing methods and hedging strategies for volatility derivatives," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 409-431, February.
    5. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 1997. "Empirical Performance of Alternative Option Pricing Models," Journal of Finance, American Finance Association, vol. 52(5), pages 2003-2049, December.
    6. Friedrich Hubalek & Jan Kallsen & Leszek Krawczyk, 2006. "Variance-optimal hedging for processes with stationary independent increments," Papers math/0607112, arXiv.org.
    7. Christoffersen, Peter & Jacobs, Kris & Ornthanalai, Chayawat, 2012. "Dynamic jump intensities and risk premiums: Evidence from S&P500 returns and options," Journal of Financial Economics, Elsevier, vol. 106(3), pages 447-472.
    8. Steven Heston & Saikat Nandi, 2000. "Derivatives on volatility: some simple solutions based on observables," FRB Atlanta Working Paper 2000-20, Federal Reserve Bank of Atlanta.
    9. Robert Jarrow & Younes Kchia & Martin Larsson & Philip Protter, 2013. "Discretely sampled variance and volatility swaps versus their continuous approximations," Finance and Stochastics, Springer, vol. 17(2), pages 305-324, April.
    10. Michael W. Brandt, 2003. "Hedging Demands in Hedging Contingent Claims," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 119-140, February.
    11. Brenner, Menachem & Ou, Ernest Y. & Zhang, Jin E., 2006. "Hedging volatility risk," Journal of Banking & Finance, Elsevier, vol. 30(3), pages 811-821, March.
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    More about this item

    Keywords

    Variance-optimal hedging; Volatility swaps; Lévy processes; Föllmer–Schweizer decomposition;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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