Model-independent bounds for option prices—a mass transport approach

Finance and Stochastics - Tập 17 - Trang 477-501 - 2013
Mathias Beiglböck1, Pierre Henry-Labordère2, Friedrich Penkner1
1Faculty of Mathematics, University of Vienna, Vienna, Austria
2Global Markets Quantitative Research, Société Générale, Paris La Défense, France

Tóm tắt

In this paper we investigate model-independent bounds for exotic options written on a risky asset using infinite-dimensional linear programming methods. Based on arguments from the theory of Monge–Kantorovich mass transport, we establish a dual version of the problem that has a natural financial interpretation in terms of semi-static hedging. In particular we prove that there is no duality gap.

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