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Malliavin Calculus for Lévy Processes with Applications to Finance

Malliavin Calculus for Lévy Processes with Applications to Finance
Catalogue Information
Field name Details
Dewey Class 519.2
Title Malliavin Calculus for Lévy Processes with Applications to Finance ([Ebook]) / edited by Giulia Di Nunno, Bernt Øksendal, Frank Proske.
Author Nunno, Giulia Di
Added Personal Name Øksendal, B. K.(Bernt Karsten) , 1945-
Proske, Frank
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 2009.
Physical Details : online resource.
Series Universitext
ISBN 9783540785729
Summary Note While the original works on Malliavin calculus aimed to study the smoothness of densities of solutions to stochastic differential equations, this book has another goal. It portrays the most important and innovative applications in stochastic control and finance, such as hedging in complete and incomplete markets, optimisation in the presence of asymmetric information and also pricing and sensitivity analysis. In a self-contained fashion, both the Malliavin calculus with respect to Brownian motion and general Lévy type of noise are treated. Besides, forward integration is included and indeed extended to general Lévy processes. The forward integration is a recent development within anticipative stochastic calculus that, together with the Malliavin calculus, provides new methods for the study of insider trading problems. To allow more flexibility in the treatment of the mathematical tools, the generalization of Malliavin calculus to the white noise framework is also discussed. This book is a valuable resource for graduate students, lecturers in stochastic analysis and applied researchers.:
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-3-540-78572-9
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