We extend the conventional cointegrated VAR model to allow for general nonlinear deterministic trends.These nonlinear trends can be used to model gradual structural changes in the intercept term of the cointegrating relations.A general asymptotic theory of estimation and statistical inference is...

The concept of a peso problem is formalized in terms of a linear Euler equation and a nonlinear marginal model describing the dynamics of the exogenous driving process.It is shown that, using a threshold autoregressive model as a marginal model, it is possible to produce time-varying peso...