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On the Existence of the Exchange Rate When Agents Have Complete Home Bias and Non-Time Separable Preferences

Colacito and Croce (2006) study the dynamics of the growth rate of the real exchange rate, when the preferences of the representative consumers in the two countries are defined only over the domestic good and characterized by non-time separability a la Epstein and Zin (1989). This paper shows that an equilibrium of this economy exists in which exchange rates are well defined and it can be interpreted as the limiting case of an economy in which preferences are defined over both domestic and foreign goods.