English

Arbitrage in markets with bid-ask spreads

Pricing of Securities 2014-07-15 v1 Probability Portfolio Management

Abstract

In this paper a finite discrete time market with an arbitrary state space and bid-ask spreads is considered. The notion of an equivalent bid-ask martingale measure (EBAMM) is introduced and the fundamental theorem of asset pricing is proved using (EBAMM) as an equivalent condition for no-arbitrage. The Cox-Ross-Rubinstein model with bid-ask spreads is presented as an application of our results.

Keywords

Cite

@article{arxiv.1407.3372,
  title  = {Arbitrage in markets with bid-ask spreads},
  author = {Przemysław Rola},
  journal= {arXiv preprint arXiv:1407.3372},
  year   = {2014}
}

Comments

18 pages, 3 figures

R2 v1 2026-06-22T05:02:37.382Z