Studying the Implications of Consumption and Asset Return Data for Stochastic Discount Factors in Incomplete International Economies

We develop an incomplete markets framework to synthesize domestic and foreign stochastic discount factors (SDFs) that are consistent with limited international risk sharing. The funda- mental departure in our paper is that exchange rate growth need not equal the ratio of SDFs, and we develop a restriction that precludes “good deals” in international economies with in- complete markets. Our innovation is to study an incomplete markets problem that is consistent with SDFs that (i) are nonnegative, (ii) correctly price returns, and (iii) disallow “good deals.”