The maximum maximum of a martingale with given n marginals

We obtain bounds on the distribution of the maximum of a continuous martingale with fixed marginals at finitely many intermediate times. The bounds are sharp and attained by a solution to n-marginal Skorokhod embedding problem in Obloj and Spoida (2013). It follows that their embedding maximises the...

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Bibliographic Details
Main Authors: Henry-Labordere, P, Obloj, J, Spoida, P, Touzi, N
Format: Journal article
Published: 2012