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Enlargement of filtration with finan...
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Jeanblanc, Monique.
Enlargement of filtration with finance in view
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Enlargement of filtration with finance in view/ by Anna Aksamit, Monique Jeanblanc.
Author:
Aksamit, Anna.
other author:
Jeanblanc, Monique.
Published:
Cham :Springer International Publishing : : 2017.,
Description:
x, 150 p. :ill., digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Stochastic processes. -
Online resource:
http://dx.doi.org/10.1007/978-3-319-41255-9
ISBN:
9783319412559
Enlargement of filtration with finance in view
Aksamit, Anna.
Enlargement of filtration with finance in view
[electronic resource] /by Anna Aksamit, Monique Jeanblanc. - Cham :Springer International Publishing :2017. - x, 150 p. :ill., digital ;24 cm. - Springerbriefs in quantitative finance,2192-7006. - Springerbriefs in quantitative finance..
This volume presents classical results of the theory of enlargement of filtration. The focus is on the behavior of martingales with respect to the enlarged filtration and related objects. The study is conducted in various contexts including immersion, progressive enlargement with a random time and initial enlargement with a random variable. The aim of this book is to collect the main mathematical results (with proofs) previously spread among numerous papers, great part of which is only available in French. Many examples and applications to finance, in particular to credit risk modelling and the study of asymmetric information, are provided to illustrate the theory. A detailed summary of further connections and applications is given in bibliographic notes which enables to deepen study of the topic. This book fills a gap in the literature and serves as a guide for graduate students and researchers interested in the role of information in financial mathematics and in econometric science. A basic knowledge of the general theory of stochastic processes is assumed as a prerequisite.
ISBN: 9783319412559
Standard No.: 10.1007/978-3-319-41255-9doiSubjects--Topical Terms:
528256
Stochastic processes.
LC Class. No.: QA274
Dewey Class. No.: 519.22
Enlargement of filtration with finance in view
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This volume presents classical results of the theory of enlargement of filtration. The focus is on the behavior of martingales with respect to the enlarged filtration and related objects. The study is conducted in various contexts including immersion, progressive enlargement with a random time and initial enlargement with a random variable. The aim of this book is to collect the main mathematical results (with proofs) previously spread among numerous papers, great part of which is only available in French. Many examples and applications to finance, in particular to credit risk modelling and the study of asymmetric information, are provided to illustrate the theory. A detailed summary of further connections and applications is given in bibliographic notes which enables to deepen study of the topic. This book fills a gap in the literature and serves as a guide for graduate students and researchers interested in the role of information in financial mathematics and in econometric science. A basic knowledge of the general theory of stochastic processes is assumed as a prerequisite.
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Mathematics and Statistics (Springer-11649)
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