Examining impulse response functions in cointegrated systems
Authors:
- 1 December 1997
- journal article
- research article
- Published by Taylor & Francis in Applied Economics
- Vol. 29 (12) , 1593-1603
Abstract
A system of reduced forms with cointegrated variables may be estimated in two ways: as a vector autoregression in levels, or as a vector error correction model. The latter is a restricted version of the former. If there is cointegration, imposing this restriction will yield more efficient estimates. However, at short horizons, vector error correction estimates are known to perform poorly relative to those from a vector autoregression. We examine how this property affects impulse response functions. A Monte Carlo experiment, and an example, suggest that impulse response functions of the two models are similar at short horizons, but different at long horizons. This suggests that the loss of efficiency from vector autoregression estimation is not critical at the commonly used short horizon. Our results complement parallel arguments focusing on forecast errors made by Clements and Hendry (1995), Hoffman and Rasche (1996), and Lin and Tsay (1996).Keywords
This publication has 15 references indexed in Scilit:
- Co-integration constraint and forecasting: An empirical examinationJournal of Applied Econometrics, 1996
- Assessing forecast performance in a cointegrated systemJournal of Applied Econometrics, 1996
- Forecasting in cointegrated systemsJournal of Applied Econometrics, 1995
- VECTOR AUTOREGRESSIVE MODELS WITH UNIT ROOTS AND REDUCED RANK STRUCTURE:ESTIMATION. LIKELIHOOD RATIO TEST, AND FORECASTINGJournal of Time Series Analysis, 1992
- Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive ModelsEconometrica, 1991
- Does Money Matter? The Robustness of Evidence from Vector AutoregressionsJournal of Money, Credit and Banking, 1989
- Testing for a unit root in time series regressionBiometrika, 1988
- Co-Integration and Error Correction: Representation, Estimation, and TestingEconometrica, 1987
- Money, Real Interest Rates, and Output: A Reinterpretation of Postwar U.S. DataEconometrica, 1985
- Likelihood Ratio Statistics for Autoregressive Time Series with a Unit RootEconometrica, 1981