in recent years, the banking industry has made significant changes in technology and communications. the expansion of electronic communications and a large number of people around the world access to the internet, appropriate to establish trade and economic exchanges provided but high costs, lack of flexibility and agility in existing systems because of the large volume of information, confiden...

in this paper, we show that the chapman-kolmogorov formula could be used as a recursive formula for computing the m-step-ahead conditional density of a markov bilinear model. the stationary marginal probability density function of the model may be approximated by the m-step-ahead conditional density for sufficiently large m.