In economics, the Backus–Smith puzzle or consumption – real-exchange-rate anomaly is the observation that the correlations between consumption and real exchange rates are zero or negative. This is contrary to economic theory which predicts that with full risk sharing, relative consumption should be perfectly correlated with the real exchange rate. Countries with relative low prices should receive a transfer to take advantage of cheap consumption. This anomaly was first documented by Backus and Smith (1993).
Robert Kollmann from ECARES claims to have obtained Backus–Smith conditions two years before the publication of the Backus and Smith article in his PhD dissertation in 1991 at University of Chicago.