Abstract
This review paper focuses on the smile-consistent stochastic volatility models. Smile-consistent stochastic volatility models take the European options’ market prices as given, and they try to explain the stochastic evolution of implied volatilities over time across strikes and maturities. The main ideas behind the models by Derman and Kani (1998), Ledoit and Santa-Clara (1999), and Britten-Jones and Neuberger (1999) are highlighted. In addition, the concept and the applications of a new methodology for smile-consistent stochastic volatility pricing, that of the simulation of the implied distribution, are discussed. The simulation model by Skiadopoulos and Hodges (2001) is explained.
JEL Classification:G13.
I would like to thank the participants at FEES 2001 conference and especially Panos Pardalos, and William Ziemba who motivated me with their comments and discussions to write this paper. Because of space limitations, some contributions have not been given the attention that they deserve. Any remaining errors are my responsibility alone.
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Skiadopoulos, G. (2002). The Simulation of the Implied Distribution and Other Smile Consistent Stochastic Volatility Models: An Overview. In: Pardalos, P.M., Tsitsiringos, V.K. (eds) Financial Engineering, E-commerce and Supply Chain. Applied Optimization, vol 70. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-5226-7_12
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DOI: https://doi.org/10.1007/978-1-4757-5226-7_12
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