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Item Details
Title: MALLIAVIN CALCULUS FOR LEVY PROCESSES WITH APPLICATIONS TO FINANCE
By: Giulia Di Nunno, Bernt Oksendal, Frank Proske
Format: Paperback

List price: £64.99


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ISBN 10: 354078571X
ISBN 13: 9783540785712
Publisher: SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG
Pub. date: 17 September, 2008
Edition: 1st Corrected ed. 2009, Corr. 2nd printing 2009
Series: Universitext
Pages: 418
Description: This book is an introduction to Malliavin calculus as a generalization of the classical non-anticipating Ito calculus to an anticipating setting. It presents the development of the theory and its use in new fields of application.
Synopsis: There are already several excellent books on Malliavin calculus. However, most of them deal only with the theory of Malliavin calculus for Brownian motion, with [35] as an honorable exception. Moreover, most of them discuss only the applicationto regularityresults for solutions ofSDEs, as this wasthe original motivation when Paul Malliavin introduced the in?nite-dimensional calculus in 1978 in [158]. In the recent years, Malliavin calculus has found many applications in stochastic control and within ?nance. At the same time, L' evy processes have become important in ?nancial modeling. In view of this, we have seen the need for a book that deals with Malliavin calculus for L' evy processesin general,not just Brownianmotion, and that presentssome of the most important and recent applications to ?nance. It is the purpose of this book to try to ?ll this need. In this monograph we present a general Malliavin calculus for L' evy processes, covering both the Brownianmotioncaseand the purejump martingalecasevia Poissonrandom measures,and also some combination of the two.
Illustrations: XIV, 418 p.
Publication: Germany
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Returns: Returnable
Some other items by this author:
ADVANCED MATHEMATICAL METHODS FOR FINANCE (HB)
ADVANCED MATHEMATICAL METHODS FOR FINANCE (PB)
APPLIED STOCHASTIC CONTROL OF JUMP DIFFUSIONS
APPLIED STOCHASTIC CONTROL OF JUMP DIFFUSIONS (PB)
APPLIED STOCHASTIC CONTROL OF JUMP DIFFUSIONS (PB)
STOCHASTIC ANALYSIS AND APPLICATIONS (HB)
STOCHASTIC ANALYSIS AND APPLICATIONS (PB)
STOCHASTIC ANALYSIS AND RELATED TOPICS (HB)
STOCHASTIC ANALYSIS AND RELATED TOPICS V (HB)
STOCHASTIC ANALYSIS AND RELATED TOPICS V (PB)
STOCHASTIC ANALYSIS AND RELATED TOPICS VI (HB)
STOCHASTIC ANALYSIS AND RELATED TOPICS VI (PB)
STOCHASTIC ANALYSIS AND RELATED TOPICS VII (HB)
STOCHASTIC ANALYSIS AND RELATED TOPICS VII (PB)
STOCHASTIC CALCULUS FOR FRACTIONAL BROWNIAN MOTION AND APPLICATIONS (HB)
STOCHASTIC CALCULUS FOR FRACTIONAL BROWNIAN MOTION AND APPLICATIONS (PB)
STOCHASTIC DIFFERENTIAL EQUATIONS (PB)
STOCHASTIC DIFFERENTIAL EQUATIONS (PB)
STOCHASTIC MODELS AND OPTION VALUES (HB)
STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS (HB)
STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS (PB)
STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS (PB)
STOCHASTICS OF ENVIRONMENTAL AND FINANCIAL ECONOMICS (HB)

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