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European Option Pricing with Transaction Costs and Stochastic Volatility: an Asymptotic Analysis

Author

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  • R. E. Caflisch
  • G. Gambino
  • M. Sammartino
  • C. Sgarra

Abstract

In this paper the valuation problem of a European call option in presence of both stochastic volatility and transaction costs is considered. In the limit of small transaction costs and fast mean reversion, an asymptotic expression for the option price is obtained. While the dominant term in the expansion it is shown to be the classical Black and Scholes solution, the correction terms appear at $O(\varepsilon^{1/2})$ and $O(\varepsilon)$. The optimal hedging strategy is then explicitly obtained for the Scott's model.

Suggested Citation

  • R. E. Caflisch & G. Gambino & M. Sammartino & C. Sgarra, 2012. "European Option Pricing with Transaction Costs and Stochastic Volatility: an Asymptotic Analysis," Papers 1211.4396, arXiv.org.
    • Handle: RePEc:arx:papers:1211.4396
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    File URL: http://arxiv.org/pdf/1211.4396
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    Cited by:

    1. Maxim Bichuch & Ronnie Sircar, 2014. "Optimal Investment with Transaction Costs and Stochastic Volatility," Papers 1401.0562, arXiv.org, revised Aug 2014.

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