Articles liés à Peacocks and Associated Martingales, With Explicit...

Peacocks and Associated Martingales, With Explicit Constructions - Couverture rigide

Livre 3 sur 9: Bocconi & Springer Series

Hirsch, Francis; Profeta, Christophe; Roynette, Bernard; Yor, Marc

 
9788847019072: Peacocks and Associated Martingales, With Explicit Constructions

Synopsis

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.

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À propos de la quatrième de couverture

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.