We consider cointegration tests in the situation where the cointegration rank is decient. This situation is of interest in nite sample analysis and in relation to recent work on identication robust cointegration inference. We derive asymptotic theory for tests for cointegration rank and for...

A vector autoregression with deterministic terms with no restrictions to its characteristic roots is considered. Strong consistency results and also some weak convergence results are given for a number of least squares statistics. These statistics are related to the denominator matrix of the...

A vector autoregressive model allowing for unit roots as well as explosive characteristic roots is developed. The Granger-Johansen representation shows that this results in processes with two common features: a random walk and an explosively growing process. Co-integrating and co-explosive...

We derive the parameter restrictions that a standard equity market model implies for a bivariate vector autoregression for stock prices and dividends, and we show how to test these restrictions using likelihood ratio tests. The restrictions, which imply that stock returns are unpredictable, are...

During extreme hyper-inflations productivity tends to fall dramatically. Yet, in models of money demand in hyper-inflation variables such as real income has been given a somewhat passive role, either assuming it exogenous or to have a negligible role. In this paper we use an empirical...

When analysing macroeconomic data it is often of relevance to allow for structural breaks in the statistical analysis. In particular, cointegration analysis in the presence of structural breaks could be of interest. We propose a cointegration model with piecewise linear trend and known break...

During extreme hyper-inflations productivity tends to fall dramatically.  Yet, in models of money demand in hyper-inflation variables such as real income has been given a somewhat passive role, either assuming it exogenous or to have a negligible role.  In this paper we use an empirical...