On the risk-adjusted pricing-methodology-based valuation of vanilla options and explanation of the volatility smile

We analyse a model for pricing derivative securities in the presence of both transaction costs as well as the risk from a volatile portfolio. The model is based on the Black-Scholes parabolic PDE in which transaction costs are described following the Hoggard, Whalley, and Wilmott approach. The risk...

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Bibliographic Details
Main Authors: Martin Jandačka, Daniel Ševčovič
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/JAM.2005.235