ENGLISH

Malliavin Calculus for Levy Processes with Applications to Finance

By Giulia Nunno , Bernt Øksendal , Frank Proske

Book information

Publisher
Springer
Year
2009
ISBN
354078571X, 9783540785712
Language
english
Format
PDF
Filesize
4 MB (4456367 bytes)
Series
Universitext
Edition
1st ed. 2009. Corr. 2nd printing
Pages
419\419
Topic
Economy
Time added
2010-05-17 00:23:50

Description

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.

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