Methods of mathematical finance
Author(s)
Bibliographic Information
Methods of mathematical finance
(Applications of mathematics, 39)
Springer, c1998
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Available at / 104 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
KAR||19||2||複本200003619428
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:330.1/K1442070445998
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Note
Bibliography: p. [371]-402
Includes index
Description and Table of Contents
Description
This sequel to Brownian Motion and Stochastic Calculus by the same authors develops contingent claim pricing and optimal consumption/investment in both complete and incomplete markets, within the context of Brownian-motion-driven asset prices. The latter topic is extended to a study of equilibrium, providing conditions for 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 book. This book will 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. The chapters on contingent claim valuation present techniques of practical importance, especially for pricing exotic options.
Table of Contents
A Brownian Motion of Financial Markets.- Contingent Claim Valuation in a Complete Market.- Single-Agent Consumption and Investment.- Equilibrium in a Complete Market.- Contingent Claims in Incomplete Markets.- Constrained Consumption and Investment.
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