Methods of Mathematical Finance (Stochastic Modelling and Applied Probability) - Hardcover

Karatzas, Ioannis; Shreve, Steven

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9780387948393: Methods of Mathematical Finance (Stochastic Modelling and Applied Probability)
Hardcover
ISBN 10: 0387948392 ISBN 13: 9780387948393
Publisher: Springer, 2016

Synopsis

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.

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From the Back Cover

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 a study of 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. The chapters on contingent claim valuation present techniques of practical importance, especially for pricing exotic options.

Also available by Ioannis Karatzas and Steven E. Shreve, Brownian Motion and Stochastic Calculus, Second Edition, Springer-Verlag New York, Inc., 1991, 470 pp., ISBN 0-387- 97655-8. 

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2016
Language
English
ISBN 10 
0387948392
ISBN 13 
9780387948393
Binding
Hardcover
Edition number
1
Number of pages
416
Rating
  • 4.00 out of 5 stars
    6 ratings by Goodreads

Other Popular Editions of the Same Title

9781493968145: Methods of Mathematical Finance (Probability Theory and Stochastic Modelling, 39)

Featured Edition

ISBN 10:  1493968149 ISBN 13:  9781493968145
Publisher: Springer, 2016
Hardcover