English

Arbitrage and Hedging in model-independent markets with frictions

Mathematical Finance 2016-08-26 v4

Abstract

We provide a Fundamental Theorem of Asset Pricing and a Superhedging Theorem for a model independent discrete time financial market with proportional transaction costs. We consider a probability-free version of the Robust No Arbitrage condition introduced in Schachermayer ['04] and show that this is equivalent to the existence of Consistent Price Systems. Moreover, we prove that the superhedging price for a claim g coincides with the frictionless superhedging price of g for a suitable process in the bid-ask spread.

Keywords

Cite

@article{arxiv.1512.01488,
  title  = {Arbitrage and Hedging in model-independent markets with frictions},
  author = {Matteo Burzoni},
  journal= {arXiv preprint arXiv:1512.01488},
  year   = {2016}
}