Using a monetary model in the spirit of Dornbusch (1976) and a sunk co
st model of trade hysteresis we show that a sufficiently large policy
misalignment can induce hysteresis in the trade balance and thereby al
ter the steady-state real exchange rate. Hence, exchange rate dynamics
are path dependent. Since hysteresis in our model can entail industri
al dislocation and the scrapping of sunk assets, we suggest that these
factors constitute a welfare cost of large policy misalignments that
have not been considered formally. Additionally, since the long-run ex
change rate is path dependent, standard empirical tests of exchange ra
te models may involve a misspecification.