Malliavin Calculus for L騅y Processes with Applications to Finance (Paperback) (ISBN-13: 9783540785712)

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.

Author: Giulia Di Nunno, Bernt ﾘksendal, Frank Proske
ISBN-10: 354078571X
ISBN-13: 9783540785712
Publisher: Springer
Language: English
Published: 11/06/2008
Pages: 418
Format: Paperback
Weight: 1.40lbs
Size: 9.20h x 6.10w x 1.00d