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Optimal discrete hedging in the Heston Stochastic Volatility Model

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  • Daglish, Toby
  • Neely, Chris

Abstract

We present a closed form solution for the optimal hedging strategy in discrete time of an option whose underlying security follows the Heston Stochastic Volatility process. Our Monte Carlo simulations indicate that this significantly improves hedging performance at weekly and longer hedging intervals when compared to continuous time hedging procedures.

Suggested Citation

  • Daglish, Toby & Neely, Chris, 2008. "Optimal discrete hedging in the Heston Stochastic Volatility Model," Working Paper Series 19108, Victoria University of Wellington, The New Zealand Institute for the Study of Competition and Regulation.
    • Handle: RePEc:vuw:vuwcsr:19108
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    File URL: https://ir.wgtn.ac.nz/handle/123456789/19108
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    References listed on IDEAS

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    1. Hutchinson, James M & Lo, Andrew W & Poggio, Tomaso, 1994. "A Nonparametric Approach to Pricing and Hedging Derivative Securities via Learning Networks," Journal of Finance, American Finance Association, vol. 49(3), pages 851-889, July.
    2. 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.
    3. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    4. Bernard Dumas & Jeff Fleming & Robert E. Whaley, 1998. "Implied Volatility Functions: Empirical Tests," Journal of Finance, American Finance Association, vol. 53(6), pages 2059-2106, December.
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