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  7. Analytically Tractable Stochastic Stock Price Models

Analytically Tractable Stochastic Stock Price Models

Archil Gulisashvili
Livre relié | Anglais | Finance
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Description

Asymptotic analysis of stochastic stock price models is the central topic of the present volume. Special examples of such models are stochastic volatility models, that have been developed as an answer to certain imperfections in a celebrated Black-Scholes model of option pricing. In a stock price model with stochastic volatility, the random behavior of the volatility is described by a stochastic process. For instance, in the Hull-White model the volatility process is a geometric Brownian motion, the Stein-Stein model uses an Ornstein-Uhlenbeck process as the stochastic volatility, and in the Heston model a Cox-Ingersoll-Ross process governs the behavior of the volatility. One of the author's main goals is to provide sharp asymptotic formulas with error estimates for distribution densities of stock prices, option pricing functions, and implied volatilities in various stochastic volatility models. The author also establishes sharp asymptotic formulas for the implied volatility at extreme strikes in general stochastic stock price models.

The present volume is addressed to researchers and graduate students working in the area of financial mathematics, analysis, or probability theory. The reader is expected to be familiar with elements of classical analysis, stochastic analysis and probability theory.

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Auteur(s) :
Editeur:

Contenu

Nombre de pages :
362
Langue:
Anglais
Collection :

Caractéristiques

EAN:
9783642312137
Date de parution :
05-09-12
Format:
Livre relié
Format numérique:
Genaaid
Dimensions :
155 mm x 234 mm
Poids :
635 g

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