Template-Type: ReDIF-Paper 1.0 Author-Name: Gary Koop Author-Name-First: Gary Author-Name-Last: Koop Author-Email: gary.koop@strath.ac.uk Author-Workplace-Name: Department of Economics, University of Strathclyde Author-Name: Roberto Leon-Gonzalez Author-Name-First: Roberto Author-Name-Last: Leon-Gonzalez Author-Email: rlg@grips.ac.jp. Author-Workplace-Name: National Graduate Institute for Policy Studies Author-Name: Rodney Strachan Author-Name-First: Rodney Author-Name-Last: Strachan Author-Email: rodney.strachan@anu.edu.au Author-Workplace-Name: The Australian National University Title: Bayesian Inference in the Time Varying Cointegration Model* Abstract: There are both theoretical and empirical reasons for believing that the parameters of macroeconomic models may vary over time. However, work with time-varying parameter models has largely involved Vector autoregressions (VARs), ignoring cointegration. This is despite the fact that cointegration plays an important role in informing macroeconomists on a range of issues. In this paper we develop time varying parameter models which permit cointegration. Time-varying parameter VARs (TVP-VARs) typically use state space representations to model the evolution of parameters. In this paper, we show that it is not sensible to use straightforward extensions of TVP-VARs when allowing for cointegration. Instead we develop a specification which allows for the cointegrating space to evolve over time in a manner comparable to the random walk variation used with TVP-VARs. The properties of our approach are investigated before developing a method of posterior simulation. We use our methods in an empirical investigation involving a permanent/transitory variance decomposition for inflation. Length: 49 pages Creation-Date: 2011-04 Revision-Date: Publication-Status: File-URL: http://www.strath.ac.uk/media/1newwebsite/departmentsubject/economics/research/researchdiscussionpapers/2011/11-21_Final.pdf File-Format: Application/pdf Number: 1121 Classification-JEL: C11, C32, C33 Keywords: Bayesian, time varying cointegration, error correctionmodel,reduced rank regression, Markov Chain Monte Carlo. Handle: RePEc:str:wpaper:1121