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A Risk Neutral Stochastic Implied Volatility Model and Applications

Autor Peng He
en Limba Engleză Paperback – 16 iul 2009
The dynamics of smile surface lead practitioner and researcher to introduce the randomness in the implied volatility, which is are specific in option markets. The monograph develops a risk-neutral stochastic At- the-Money implied volatility model and its applications. Three characteristics of implied volatility are presented. After the proper model setup, the risk-neutral drift term of stochastic implied volatility is derived, which is necessary to be no-arbitrage. We proved that the implied volatility of At-the-Money options mature immediately should converge to underlying volatility at the rate of time to maturity, which specifies the stochastic process of underlying volatility. Monte Carlo simulation is used to simulate the complex whole system. Skew curve and terminal underlying price distribution are studied. The two model parameters are able to explain market skew phenomena quite well. Barrier option is priced and future implied volatility is forecast off the simulation. The monograph should be helpful for option traders, and should be especially useful for graduate students and researcher in financial math field.
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Specificații

ISBN-13: 9783639176261
ISBN-10: 363917626X
Pagini: 68
Dimensiuni: 148 x 220 x 6 mm
Greutate: 0.11 kg
Editura: VDM Verlag Dr. Müller e.K.
Locul publicării:Germany

Notă biografică

Mr. Peng He is the head of Quantitative Research in Investment Technology Group Derivatives. He has years ofexperience in Math/Statistical model,trading strategies and systems design and implementation, derivative pricing, hedging,risk management in trading industry. Mr.He holds a Ph.D.inFinancial Math from University of Illinois.