Anna Aksamit, Monique Jeanblanc

Enlargement of Filtration with Finance in View (eBook, PDF)

• Format: PDF

Produktbeschreibung

There are no comparable books on the market

Provides a comprehensive introduction to the subject

Contains very recent results on application to finance, especially on arbitrages and insider trading

Covers the case with jumping martingales, which is not represented in recent text books and articles on enlargement of filtration

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 150
• Erscheinungstermin: 18. November 2017
• Englisch
• ISBN-13: 9783319412559
• Artikelnr.: 53035052

Inhaltsangabe

Theory of Stochastic Processes.- Semimartingales.- Change of probability and Girsanov's Theorem.- Projections and Dual Projections.- Exercises .-Bibliographic.- Compensators of Random .- Compensator of a Default Indicator in its own Filtration.- Compensator of the Default Process in a General Setting .- Cox Processes and Extensions.- Study of Azéma's supermartingale in general setting.- Exercices .- Bibliographic Notes.-Immersion Property.- Immersion of Immersion in a Progressive Enlargement of Filtration.- Multidefaults Setting.-Exercices .- Bibliographic.- Initial Enlargement.- Brownian and Poisson Bridges.- Insider Trading.- Enlargement of Filtration setting.- Yor's Method.-Jacod's Absolute Continuity Condition.- Jacod's Equivalence Condition.- List of examples in the Literature.- Bibliographic Notes.- Progressive Enlargement.- G-semimartingale decomposition of F-martingales before t.- Honest Times.- (E)-times.- 5.4 Pseudo-stopping Times.- Predictable Representation property.-Enlargement with the filtration generated by a continuous process .- Arbitrages in a progressive Enlargement.- Applications of (E)-times to Finance.- Exercises.- Bibliographic Notes.- Solutions to some exercises.- Indexes.

Rezensionen

"This book presents a succinct exposition on the theory of filtration enlargements. ... The book delivers a systematic and updated account of the subject. There is a long list of papers in the references, including the authors' own contributions, providing a broad perspective. ... it is an excellent guide from which the reader will gain a global view of the field." (Erick Treviño-Aguilar, Mathematical Reviews, August, 2018)
"The book is devoted to enlargement of filtration - an important tool and field of study in the theory of stochastic processes. ... The book is a useful reading for students and professionals in theory and practice of finance." (Pavel Stoynov, zbMATH 1397.91003, 2018)