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The paper evaluates the net welfare gains of inflation targeting over a fixed exchange rate as a function of a country's trade openness, using a multisectoral structural model calibrated to Chile. For most calibrations with separable preferences, net welfare gains are increasing in trade openness. The reason is that in more open economies terms of trade shocks, which favor inflation targeting, become quantitatively more important, while price markup shocks in the imperfectly competitive nontradables sector, which favor exchange rate targeting, become less important. The most important exception is heavily indebted countries, where net welfare gains are decreasing in trade openness.