This paper aims at studying whether the persistence of the gap between the observed current‐account position and its equilibrium value nonlinearly depends on real exchange‐rate misalignments. Estimating a panel smooth transition regression model on a sample of 22 industrialized countries, we find evidence for this hypothesis, showing that persistence of current‐account imbalances strongly depends on the deviation of the real exchange rate from its long‐term equilibrium. More specifically, while there is no persistence in cases of currency undervaluation or weak overvaluation, persistence tends to augment for overvaluations higher than 11%. In addition, whereas disequilibria are persistent even for very low overvaluations in the euro area, persistence is observed only for overvaluations higher than 14% for non‐eurozone members.