Overview

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.

ISBN-13

9788847025196

ISBN-10

8847025192

Weight

1.33 Pounds

Dimensions

6.10 x 0.99 x 9.25 In

List Price

$109.99

Edition

1st Edition

Format

Paperback

Language

English

Pages

xxxii, 388 pages

Publisher

Springer

Published On

2013-07-15



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