2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72144We construct a binary market model with memory that approximates a continuous-time market model driven by a Gaussian process equivalent to Brownian motion. We give a sufficient conditions for the binary market to be arbitrage-free. In a case when arbitrage opportunities exist, we present the rate at which the arbitrage probability tends to zero as the number of periods goes to infinity.13 pagesProbabilityPrimary 91B28; secondary 60F1text