International equity and bond positions in a DSGE model with variety risk in consumption

This paper analyzes equity and bond positions in a two-country DSGE model where the number of varieties, i.e. extensive margin is endogenously determined. Households take care about not only the price of goods but also the variety of goods they consume. The welfare-based real exchange rate fluctuations matter in inter- national consumption risk sharing. We investigate analytically and numerically the implication of "variety risk" induced by fluctuations in extensive margins. In nu- merical computation of zero-order steady state portfolios, we employ the Devereux and Sutherland method. We show that, with variety risk, home biased equity posi- tions are further amplified compared to those obtained with the standard model in the literature. The result is shown to be robust with or without firm heterogeneity in marginal costs of production.