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Model-independent Bounds for Option Prices: A Mass Transport Approach

Pricing of Securities 2013-02-15 v2 Optimization and Control Computational Finance

Abstract

In this paper we investigate model-independent bounds for exotic options written on a risky asset. 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.

Keywords

Cite

@article{arxiv.1106.5929,
  title  = {Model-independent Bounds for Option Prices: A Mass Transport Approach},
  author = {Mathias Beiglböck and Pierre Henry-Labordère and Friedrich Penkner},
  journal= {arXiv preprint arXiv:1106.5929},
  year   = {2013}
}

Comments

Finance and Stochastics