We propose a discrete-time multivariate model where lagged levels of the process enter both the conditional mean and the conditional variance. This way we allow for the empirically observed persistence in time series such as interest rates, often implying unit-roots, while at the same time...

Relationships between the Federal funds rate, unemployment, inflation, and the long-term government-bond rate are investigated with cointegration techniques. We find a stable long-term relationship between the Federal funds rate, unemployment, and the bond rate. This relationship is...

The effects of innovational outliers and additive outliers in cointegrated vector autoregressions are examined and it is analyzed how outliers can be modelled with dummy variables. Using a Monte Carlo simulation it is illustrated how misspecified dummies may distort inference on the...

We characterize the restrictions imposed by the minimal I(2)-to-I(1) transformation that underlies much applied work, e.g. on money demand relationships or open-economy pricing relationships. The relationship between the parameters of the original I(2) vector autoregression, including the...

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 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 performs a system cointegration analysis of UK money demand based on real money, real income, the opportunity cost of holding money, and inflation for the period 1873 - 2001. As a novelty we account for the effect of the world wars by estimating additive data corrections, allowing...

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...

Estimated characteristic roots in stationary autoregressions are shown to give rather noisy information about their population equivalents. This is remarkable given the central role of the characteristic roots in the theory of autoregressive processes. In the asymptotic analysis the problems...