  Multivariate subordinated L\'evy processes are widely employed in finance for
modeling multivariate asset returns. We propose to exploit non-linear
dependence among financial assets through multivariate cumulants of these
processes, for which we provide a closed form formula by using the multi-index
generalized Bell polynomials. Using multivariate cumulants, we perform a
sensitivity analysis, to investigate non-linear dependence as a function of the
model parameters driving the dependence structure
