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Titlebook: Introduction to Option Pricing Theory; Gopinath Kallianpur,Rajeeva L. Karandikar Book 2000 Springer Science+Business Media New York 2000 B

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书目名称Introduction to Option Pricing Theory
编辑Gopinath Kallianpur,Rajeeva L. Karandikar
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图书封面Titlebook: Introduction to Option Pricing Theory;  Gopinath Kallianpur,Rajeeva L. Karandikar Book 2000 Springer Science+Business Media New York 2000 B
描述Since the appearance of seminal works by R. Merton, and F. Black and M. Scholes, stochastic processes have assumed an increasingly important role in the development of the mathematical theory of finance.This work examines, in some detail, that part of stochastic finance pertaining to option pricing theory.Thus the exposition is confined to areas of stochastic finance that are relevant to the theory, omitting such topics as futures and term-structure.This self-contained work begins with five introductory chapters on stochastic analysis, making it accessible to readers with little or no prior knowledge of stochastic processes or stochastic analysis. These chapters cover the essentials of Ito‘s theory of stochastic integration, integration with respect to semimartingales, Girsanov‘s Theorem, and a brief introduction to stochastic differential equations.Subsequent chapters treat more specialized topics, including option pricing in discrete time, continuous time trading, arbitrage, complete markets, European options (Black and Scholes Theory), American options, Russian options, discrete approximations, and asset pricing with stochastic volatility.In several chapters, new results are pre
出版日期Book 2000
关键词Black-Scholes; Finance; Ornstein-Uhlenbeck process; Probability theory; Semimartingale; Statistik; Stochas
版次1
doihttps://doi.org/10.1007/978-1-4612-0511-1
isbn_softcover978-1-4612-6796-6
isbn_ebook978-1-4612-0511-1
copyrightSpringer Science+Business Media New York 2000
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Discrete Approximations,w, in part, the work of Merton and Samuelson as presented in the book by (Merton, 1990), and, also we follow the treatment of the binomial option pricing formula introduced in (Duffie, 1992) for the purpose of working out numerical approximations.
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Stochastic Differential Equations,In this chapter, we consider the stochastic differential equations of diffusion type and present a result on the existence and uniqueness of solution. We also prove a version of the Feynman—Kac formula.
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Option Pricing in Discrete Time,In this chapter, we consider the problem of pricing an option in discrete time trading. We will introduce and discuss various important notions from stochastic finance, such as ., ., ., and the role of . in discrete time. We assume a discrete model for the underlying stock.
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Introduction to Continuous Time Trading,In this chapter, we begin with an informal description of the technical terms used in finance in the context of continuous time trading. We saw these terms in the previous chapter, which was devoid of technicalities. When it comes to continuous time, we cannot escape these technicalities which is why they were first introduced.
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