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

Listed author(s):
  • R. E. Caflisch
  • G. Gambino
  • M. Sammartino
  • C. Sgarra
Registered author(s):

    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.

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    Paper provided by in its series Papers with number 1211.4396.

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    Date of creation: Nov 2012
    Handle: RePEc:arx:papers:1211.4396
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