This paper presents likelihood analysis of the I(2) cointegrated vector autoregression with piecewise linear deterministic terms. Limiting behavior of the maximum likelihood estimators are derived, which is used to further derive the limiting distribution of the likelihood ratio statistic for...

The persistent movements away from long-run benchmark values in real exchange rates, dubbed the PPP puzzle, observed in many real exchange rates during periods of currency float have been subject to much empirical research without resolving the puzzle. The paper demonstrates how the cointegrated...

Based on a money market analysis the paper discusses possible pitfalls in acroeconomic inference related to inadequate stochastic model formulation. A number of questions related to concepts such as empirical and theoretical steady-states, speed of adjustment, feed-back and interaction effects,...

A representation for I(2) processes is derived which allows for trend-stationary components and restricts the deterministic part of the process to be at most linear. A two-step statistical analysis of the model is derived. The joint test of I(1) and I(2) cointegrating ranks is shown to be...

The long-run and short-run structure of the Danish manufacturing export sector is analyzed within a cointegrated vector autoregressive model. The price variables of the analysis can be characterized as integrated of second order, I(2), but long-run homogeneity seems to cancel the I(2)-trend...

This paper presents the likelihood ratio (LR) test for the number of cointegrating and multi-cointegrating relations in the I(2) vector autoregressive model. It is shown that the asymptotic distribution of the LR test for the (multi-) cointegration ranks is identical to the asymptotic...

Nominal-to-real data transformations are routinely used in empirical work. A common example is the transformation of nominal money and prices to real money and the rate of inflation. This paper establishes the necessary and sufficient condition for a transformation to reduce the order of...