Peacocks and Associated Martingales, with Explicit Constructions

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...

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Autori principali: Hirsch, Francis, 19..-...., mathématicien, Profeta, Christophe, 1984-...., mathématicien (Autore), Roynette, Bernard, 19..-...., mathématicien (Autore), Yor, Marc, 1949-2014, mathématicien (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Milano : Springer Milan [20..].
Cham : Springer Nature
Edizione:1st ed. 2011.
Serie:Bocconi & Springer Series, Mathematics, Statistics, Finance and Economics
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Nota: Description d'après consultation du 09 avril 2013
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Edition sous un autre format:• Peacocks and associated martingales, with explicit constructions, Francis Hirsch, Christophe Profeta, Bernard Roynette, Marc Yor, 2011, Milan, Springer, Bocconi University Press, 1 vol. (XXXI-384 p.), Bocconi & Springer series, 978-88-470-1907-2
• Peacocks and Associated Martingales, with Explicit Constructions, Texte imprimé, 9788847019096
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Riassunto: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.
Descrizione del documento:Description d'après consultation du 09 avril 2013
Archives Springer e-books (Licence nationale)
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Bibliografia:Bibliographie. Index
ISBN:9788847019089
ISSN:2039-148X
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