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Titlebook: Analytically Tractable Stochastic Stock Price Models; Archil Gulisashvili Book 2012 Springer-Verlag Berlin Heidelberg 2012 91Gxx, 91G80, 9

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发表于 2025-3-21 18:59:23 | 显示全部楼层 |阅读模式
期刊全称Analytically Tractable Stochastic Stock Price Models
影响因子2023Archil Gulisashvili
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发行地址Comprehensive in scope.Results discussed appear for the first time in a mathematical monograph.Unique source of information about analytically tractable stochastic volatility models?.Includes suppleme
学科分类Springer Finance
图书封面Titlebook: Analytically Tractable Stochastic Stock Price Models;  Archil Gulisashvili Book 2012 Springer-Verlag Berlin Heidelberg 2012 91Gxx, 91G80, 9
影响因子.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.
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发表于 2025-3-21 23:50:05 | 显示全部楼层
Advances in Intelligent and Soft Computingo provides a characterization of implied volatility models free of static arbitrage, and discusses certain symmetries hidden in stochastic asset price models. These symmetries can be used to analyze the asymptotic behavior of the implied volatility at small strikes knowing how the volatility behaves at large strikes.
发表于 2025-3-22 02:08:01 | 显示全部楼层
Volatility Processes,process, they are Gaussian, while for a CIR-process, they coincide with noncentral chi-square distributions. The chapter also includes the proof of the Pittman-Yor theorem. This theorem concerns certain exponential functionals of squared Bessel processes.
发表于 2025-3-22 07:23:57 | 显示全部楼层
Asymptotic Analysis of Implied Volatility,o provides a characterization of implied volatility models free of static arbitrage, and discusses certain symmetries hidden in stochastic asset price models. These symmetries can be used to analyze the asymptotic behavior of the implied volatility at small strikes knowing how the volatility behaves at large strikes.
发表于 2025-3-22 09:29:12 | 显示全部楼层
发表于 2025-3-22 13:04:04 | 显示全部楼层
Book 2012ility 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
发表于 2025-3-22 17:02:49 | 显示全部楼层
Distributed Computing - IWDC 2003 of the volatility, the variance, the integrated volatility, and the integrated variance. This chapter provides various representations of the stock price density in stochastic volatility models as special integral transforms of mixing distributions.
发表于 2025-3-22 21:30:26 | 显示全部楼层
发表于 2025-3-23 03:48:20 | 显示全部楼层
Sigeru Omatu,Mitsuaki Yano,Toru Fujinakan the asymptotic formulas for the stock price densities established in Chap. .. Weak Pareto type functions will reappear in Sect. ., devoted to the asymptotic equivalence in R. Lee’s moment formulas for the implied volatility.
发表于 2025-3-23 09:26:48 | 显示全部楼层
Virtual Organisations Dissolution, of Chap. 10 include a result of E. Renault and N. Touzi concerning the existence of volatility smile in uncorrelated stochastic volatility models. The chapter also discusses the SVI parameterization of the implied variance introduced by J. Gatheral.
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