Trade elasticity of substitution and equilibrium dynamics

The empirical literature provides a wide range of estimates for trade elasticities at the aggregate level. Recent contributions in international macroeconomics suggest that low (implied) values of the trade elasticity may play an important role in understanding the disconnect between international prices and real variables. However, a standard model of the international business cycle displays multiple locally isolated equilibria if the trade is sufficiently low. The main contribution of this paper is to compute and characterize some dynamic properties of these equilibria. In simulations, the presence of multiple equilibria is shown to imply a volatile and persistent real exchange rate.