%0 Journal Article
%T Consistent Price Systems in Multiasset Markets
%A Florian Maris
%A Hasanjan Sayit
%J International Journal of Stochastic Analysis
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/687376
%X Let  be any d-dimensional continuous process that takes values in an open connected domain  in £¿. In this paper, we give equivalent formulations of the conditional full support (CFS) property of  in . We use them to show that the CFS property of X in  implies the existence of a martingale M under an equivalent probability measure such that M lies in the >0 neighborhood of  for any given  under the supremum norm. The existence of such martingales, which are called consistent price systems (CPSs), has relevance with absence of arbitrage and hedging problems in markets with proportional transaction costs as discussed in the recent paper by Guasoni et al. (2008), where the CFS property is introduced and shown sufficient for CPSs for processes with certain state space. The current paper extends the results in the work of Guasoni et al. (2008), to processes with more general state space.
%U http://www.hindawi.com/journals/ijsa/2012/687376/