1–4 sept. 2015
Angers - France
Fuseau horaire Europe/Paris

On the dual problem of utility maximization in incomplete markets

2 sept. 2015, 14:50
40m
Angers - France

Angers - France

Orateur

Dr Yiqing LIN (University of Vienna)

Description

We study the dual problem of the expected utility maximization in incomplete markets with bounded random endowment. We start with the duality results of [Cvitanic-Schachermayer-Wang, 2001], in which the optimal strategy is obtained by first formulating and solving a dual problem. We observe that: in the Brownian framework, the countably additive part $Q^r$ of the dual optimizer $Q\in (L^\infty)^*$ in the settings of [Cvitanic-Schachermayer-Wang, 2001] can be represented by the terminal value of a supermartingale deflator $Y$ defined in [Kramkov-Schachermayer, 1999], which moreover is a local martingale.

Auteur principal

Dr Yiqing LIN (University of Vienna)

Co-auteurs

M. Junjian YANG (University of Vienna) Mme Lingqi Gu (University of Vienna)

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