Stochastic Calculus of Variations in Mathematical Finance

Author:   Paul Malliavin ,  Anton Thalmaier
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of hardcover 1st ed. 2006
ISBN:  

9783642077838


Pages:   142
Publication Date:   30 November 2010
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
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Stochastic Calculus of Variations in Mathematical Finance


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Author:   Paul Malliavin ,  Anton Thalmaier
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of hardcover 1st ed. 2006
Dimensions:   Width: 15.50cm , Height: 0.80cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783642077838


ISBN 10:   3642077838
Pages:   142
Publication Date:   30 November 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

Gaussian Stochastic Calculus of Variations.- Computation of Greeks and Integration by Parts Formulae.- Market Equilibrium and Price-Volatility Feedback Rate.- Multivariate Conditioning and Regularity of Law.- Non-Elliptic Markets and Instability in HJM Models.- Insider Trading.- Asymptotic Expansion and Weak Convergence.- Stochastic Calculus of Variations for Markets with Jumps.

Reviews

From the reviews: This short book introduces Malliavin calculus and illustrates important applications in finance. ! For readers with the necessary mathematical skills, this is a valuable introduction to the mathematics and financial applications of Malliavin calculus. ! it provides a direct gateway to the relevant literature. (www.riskbook.com, November, 2006) The book under review is on the applications of the Malliavin calculus to financial mathematics. ! The authors have written a short book introducing the reader efficiently to the key points of the Malliavin calculus in mathematical finance. ! Also the list of references is comprehensive and updated, and gives a clear picture of the activity and relevance of this approach to many financial problems. ! This book is recommended to all researchers in mathematical finance. (MathSciNet, February, 2007) The book under review is on the applications of the Malliavin calculus to financial mathematics. ! The compact form is to the advantage of the reader, who is led to the applications rather quickly. ! This book is recommended to all researchers in mathematical finance. It shows how advanced mathematics can play an important role in solving practical financial problems as well as developing new understanding and concepts. (Fred Espen Benth, Mathematical Reviews, Issue 2007 b) The book under review demonstrates the power and versatility of the Malliavin calculus in a variety of problems arising in Mathematical Finance. Despite being mathematically demanding, it is directed not only towards researchers in mathematics, but also to practitioners ! . The book will certainly address in the first place researchers in mathematical finance. It can however be recommended to a much wider public in mathematics beyond probability ! . (Peter Imkeller, Zentralblatt MATH, Vol. 1124 (1), 2008) This monograph is devoted to an updated presentation, in a rigorous mathematical framework, of the applications of the stochastic calculus of variations in mathematical finance. ... In conclusion, this book aims to explain the role played by the stochastic calculus of variations in mathematical finance, and it will be useful for researchers working in these fields. (David Nualart, Bulletin of the American Mathematical Society, Vol. 44 (3), July, 2007)


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