The models in the literature on ''change-rate target zones imply a non
-linear time series model for the exchange rate. We show how the param
eters of such models can be estimated and develop Maximum Likelihood a
nd Method of Simulated Moments estimators for the target zone model of
Krugman (1991). The Maximum Likelihood estimator is based on a comput
ationally attractive approximation to the exact predictive density of
the continuous time model. Monte Carlo experiments are used to assess
the properties of this estimator. In the empirical part we estimate th
e model with data on recent EMS exchange rates. We find that the Krugm
an (1991) target zone model is not able to explain the full observed k
urtosis and conditional heteroscedasticity of the exchange-rate return
s.