The aim of this work is study a relationship of dependence between a Brazilian economy and four major world economies, being: United States, Japan, Germany and England. the Thus, it is proposed to use the copula methodology of the elliptic and archimedian families to relate the degree of dependency in the period from 2006 to 2017. Applying ARMA-EGARCH models for marginal and copula Normal, t-student, Gumbel, Frank, Clayton and Joe for bivariate distributions. The results obtained from a positive assessment of positive
relationship between the markets and that the stronger relationship with the North American index. This methodology allows to make inference about the parameter of dependence respecting the modern theory of finance, where the main limitation is the non normality of the financial returns.