Malliavin calculus for Lévy processes with applications to finance

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 incom...

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ग्रंथसूची विवरण
मुख्य लेखकों: Di Nunno, Giulia, 1973-...., mathématicienne, Øksendal, Bernt Karsten, 1945-...., économiste (लेखक), Proske, Frank (लेखक)
स्वरूप: Livre numérique
भाषा:Anglais
प्रकाशित: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
श्रृंखला:Universitext
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टिप्पणी: Description d'après consultation du 30 mars 2012
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Edition sous un autre format:• Malliavin calculus for Levy processes with applications to finance, Giulia Di Nunno, Bernt Oksendal, Frank Proske, 2009, Berlin, Springer, 1 vol. (XIII-413 p.), Universitext, 978-3-540-78571-2
विवरण
सारांश: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
वस्तु वर्णन:Description d'après consultation du 30 mars 2012
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ग्रन्थसूची:Bibliogr. Index
आईएसबीएन:9783540785729
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