In dynamic-equilibrium trade models, the common assumption that asset markets are complete implies that correlations of consumption. across countries should be quite high. In contrast, measured consumption correlations tend to be rather low. While some suggest this implies that asset market incompleteness is a fundamental feature determining international trade dynamics, this paper provides an example of a simple model economy in which complete markets can be associated with consumption correlations that are lower than output correlations. Conditions for substitution elasticities associated with this result are derived for a two-country, two-good endowment model with heterogeneous agents. Copyright 1997 by Blackwell Publishing Ltd.