We use detailed data for Iceland to examine two often-neglected aspects of the exchange rate pass-through problem. First, we investigate whether the pass-through coefficient varies with the degree of international tradability of goods. Second, we analyze if the pass-through coefficient depends on the monetary policy framework. We consider 12 disaggregated price indexes in Iceland for 2003–2019, a period that includes Iceland’s banking and currency crisis of 2008. We find that the pass-through declined around the time Iceland reformed its flexible inflation targeting, and that the coefficients are significantly higher for tradable than for nontradables.