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Titlebook: Methods of Mathematical Finance; Ioannis Karatzas,Steven E. Shreve Book 1998 Springer-Verlag New York 1998 Brownian motion.Stochastic calc

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书目名称Methods of Mathematical Finance
编辑Ioannis Karatzas,Steven E. Shreve
视频video
概述Topics are treated for the first time in a unified manner.Contains an extensive set of references and notes.Provides an exhaustive and up-to-date treatment of portfolio optimization and valuation prob
丛书名称Probability Theory and Stochastic Modelling
图书封面Titlebook: Methods of Mathematical Finance;  Ioannis Karatzas,Steven E. Shreve Book 1998 Springer-Verlag New York 1998 Brownian motion.Stochastic calc
描述.This monograph is a sequel to Brownian Motion and Stochastic Calculus by the same authors. Within the context of Brownian-motion-driven asset prices, it develops contingent claim pricing and optimal consumption/investment in both complete and incomplete markets.  The latter topic is extended to the study of complete market equilibrium, providing conditions for the existence and uniqueness of market prices which support trading by several heterogeneous agents. Although much of the incomplete-market material is available in research papers, these topics are treated for the first time in a unified manner. The book contains an extensive set of references and notes describing the field, including topics not treated in the text. .This monograph should be of interest to researchers wishing to see advanced mathematics applied to finance. The material on optimal consumption and investment, leading to equilibrium, is addressed to the theoretical finance community. Thechapters on contingent claim valuation present techniques of practical importance, especially for pricing exotic options..The present corrected printing includes, besides other minor corrections, an important correction of Theo
出版日期Book 1998
关键词Brownian motion; Stochastic calculus; agents; equilibrium; finance; incomplete markets; mathematical finan
版次1
doihttps://doi.org/10.1007/978-1-4939-6845-9
isbn_ebook978-1-4939-6845-9Series ISSN 2199-3130 Series E-ISSN 2199-3149
issn_series 2199-3130
copyrightSpringer-Verlag New York 1998
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https://doi.org/10.1007/978-1-4939-6845-9Brownian motion; Stochastic calculus; agents; equilibrium; finance; incomplete markets; mathematical finan
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A Brownian Model of Financial Markets,Throughout this monograph we deal with a financial market consisting of N + 1 financial assets. One of these assets is instantaneously risk-free, and will be called a money market. Assets 1 through N are risky, and will be called stocks (although in applications of this model they are often commodities or currencies, rather than common stocks).
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Equilibrium in a Complete Market,In the context of continuous-time financial markets, the equilibrium problem is to build a model in which security prices are determined by the law of supply and demand. The primitives in this model are the endowment processes and the utility functions of a finite number of agents.
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Contingent Claim Valuation in a Complete Market,om the value of another underlying, more basic, security, such as a stock or a bond. Common derivative securities are put options, call options, forward contracts, futures contracts, and swaps. These securities can be used for both speculation and hedging, but their creation and marketing are based much more on the latter use than the former.
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Single-Agent Consumption and Investment,et as set forth in Chapter 1. The objective of this agent is to maximize the expected utility of consumption over the planning horizon, or to maximize the expected utility of wealth at the end of the planning horizon, or to maximize some combination of these two quantities.
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