The classical dichotomy predicts that all of the time-series variance in the aggregate real exchange rate is accounted for by non-traded goods in the consumer price index (CPI) basket because traded goods obey the Law of One Price. In stark contrast, Engel (1999) claimed the opposite: that traded goods accounted for all of the variance.
In this paper, we argue that differences in the cost structures across sectors play an important role in firms’ decisions to adjust their prices. We develop a menu-cost model of pricing in which retail firms intermediate trade between producers and consumers.