How do exchange rates affect the asset allocation of bond portfolio investors? Using detailed security-level holdings, we find that euro area-based investors systematically shed sovereign bonds as the dollar strengthens, confirming the role of the dollar as a global risk factor even for euro-based investors. More distinctively, they also shed local currency bonds when the euro strengthens, due to currency mismatches on their own balance sheets. There is no such effect for foreign currency bonds of the same sovereign issuers. These findings are consistent with a Value-at-Risk portfolio choice model that brings out separate roles for local, foreign and reference currencies.