Explaining the returns from currency speculation through the presence of a risk premium has proven difficult, however. In particular, models with complete markets and time-separable preferences generate risk premia that are nearly constant. This paper solves a model consisting of two monetary economies with incomplete markets, in which agents are subject to borrowing constraints. The paper investigates if such a framework is able to account for the volatility and the size of the foreign exchange risk premium. The model succeeds in increasing substantially the volatility of the risk premium to about 30 percent of that in the data. However, this more volatile risk premium does not translate into sufficiently large predictable excess returns. It thus appears unlikely that excess returns from currency speculation can be uniquely explained by a time-varying risk premium in an incomplete-markets economy with borrowing constraints.

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