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We show that welfare can be lower under complete financial markets than under autarky in a monetary union with home bias, sticky prices, and asymmetric shocks. Such a monetary union is a second- best environment in which the structure of financial markets affects risk-sharing but also shapes the dynamics of inflation rates and the welfare costs from nominal rigidities. Welfare reversals arise for a variety of empirically plausible degrees of price stickiness when the Marshall-Lerner condition is met. These results carry over a model with active fiscal policies, and hold within a medium-scale model, although to a weaker extent.