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Peacocks and Associated Martingales, with Explicit Constructions

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Product Code: 9788847019072
ISBN13: 9788847019072
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$118.37

Peacocks and Associated Martingales, with Explicit Constructions

$118.37
 
We call peacock an integrable process which is increasing in the convex order; such a notion plays an important role in Mathematical Finance. A deep theorem due to Kellerer states that a process is a peacock if and only if it has the same one-dimensional marginals as a martingale. Such a martingale is then said to be associated to this peacock. In this monograph, we exhibit numerous examples of peacocks and associated martingales with the help of different methods: construction of sheets, time reversal, time inversion, self-decomposability, SDE, Skorokhod embeddings. They are developed in eight chapters, with about a hundred of exercises.


Author: Francis Hirsch
Publisher: Springer
Publication Date: May 24, 2011
Number of Pages: 388 pages
Binding: Hardback or Cased Book
ISBN-10: 8847019079
ISBN-13: 9788847019072
 

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