We derive the optimal hedging ratios for a portfolio of assets driven by a Cointegrated Vector Autoregressive model (CVAR) with general cointegration rank. Our hedge is optimal in the sense of minimum variance portfolio. We consider a model that allows for the hedges to be cointegrated with the...

An overview of results for the cointegrated VAR model for nonstationary I(1) variables is given. The emphasis is on the analysis of the model and the tools for asymptotic inference. These include: formulation of criteria on the parameters, for the process to be nonstationary and I(1),...

A two-sector Malthusian model is formulated in terms of a cointegrated vector autoregressive (CVAR) model on error correction form. The model allows for both agricultural product wages and relative prices to affect fertility. The model is estimated using new data for the pre-industrial period in...

Campbell and Shiller (1987) proposed a graphical technique for the present value model which consists of plotting the spread and theoretical spread as calculated from the cointegrated vector autoregressive model. We extend these techniques to a number of rational expectation models and give a...

The long-run foreign transmission effects are analyzed in a multivariate time-series model of Danish and German prices, exchange rates and interest rates. The analysis of the likelihood function reveals that the vector process is I(2), but that a linear transformation of the prices and the...

In this paper we apply the encompassing principle to test whether a model that has been estimated with seasonally adjusted data (SA) can encompass a model that is based on non-seasonllay adjusted (NSA) data. Building upon and extending the work på Ericsson, Hendry and Tran (1994) who analyze...

The purpose of this paper is to give a systematic account of the maximum likelihood inference concerning cointegration vectors in non-stationary vector value autoregressive time series with Gaussian errors. The hypothesis of r cointegration vectors is given a simple parametric formulation in...

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...

This paper presents a cointegrated VAR analysis of monetary transmission mechanisms and changes in them after Spain joined the EMS in 1989. Analyses of long-run price homogeneity within the I(2) model turned out to be crucial for understanding the joint behaviour of money, income, prices, and...

This paper develops equilibrium correction models for money demand of European-wide monetary aggregates based on a multivariate cointegration analysis. It will be shown that whether or not the UK is a member of the monetary union does not affect the empirical stability of area-wide money demand...