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VOLATILITY SMILE CONSISTENT OPTION MODELS: A SURVEY
International Journal of Theoretical and Applied Finance, 2001The developing literature on "smile consistent" no-arbitrage models has emerged from the need to price and hedge exotic options consistently with the prices of standard European options. This survey paper describes the steps through which this literature has evolved by providing a taxonomy of the various models. It highlights the main ideas behind the
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Investors' Heterogeneity and Implied Volatility Smiles
Management Science, 2012Heterogeneity in beliefs and time preferences among investors make stock volatility stochastic, even though the volatility of the underlying dividend is constant. Prices of the European options written on this stock admit closed-form solutions, hence their hedging deltas.
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2008
In this work author speaks a little in generic about financial derivatives. Then he derives the famous Black-Scholes formula using less precise mathematical apparatus. Afterwards, he will analyze a few volatility models and their applications for creating volatility surface, which is the main goal of both theoreticians and practitioners. As we will see,
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In this work author speaks a little in generic about financial derivatives. Then he derives the famous Black-Scholes formula using less precise mathematical apparatus. Afterwards, he will analyze a few volatility models and their applications for creating volatility surface, which is the main goal of both theoreticians and practitioners. As we will see,
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Volatility Smile and Delta Hedging
2014The thesis describes and applies two parametric option pricing models which partially ease the well-known discrepancy between real world and Black-Scholes model. Stochastic volatility and jumps encompassed by Heston and SVJ models explain implied volatility smile and its heterogeneous term-structure.
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