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Peacocks and Associated Martingales, with Explicit Constructions (Hardcover, 2011 Ed.)
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Peacocks and Associated Martingales, with Explicit Constructions (Hardcover, 2011 Ed.)
Series: Bocconi & Springer Series
Expected to ship within 10 - 15 working days
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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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