Template-Type: ReDIF-Paper 1.0 Author-Name: Joshua C C Chan Author-Name-First: Joshua Author-Name-Last: C C Chan Author-Email: joshuacc.chan@gmail.com Author-Workplace-Name: Australian National University Author-Name: Eric Eisenstat Author-Name-First: Eric Author-Name-Last: Eisenstat Author-Email: eric.eisenstat@gmail.com Author-Workplace-Name: University of Bucharest 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 Title: Large Bayesian VARMAs Abstract: Abstract: Vector Autoregressive Moving Average (VARMA) models have many theoretical properties which should make them popular among empirical macroeconomists. However, they are rarely used in practice due to over-parameterization concerns, difficult - ties in ensuring identification and computational challenges. With the growing interest in multivariate time series models of high dimension, these problems with VARMAs become even more acute, accounting for the dominance of VARs in this field. In this paper, we develop a Bayesian approach for inference in VARMAs which surmounts these problems. It jointly ensures identification and parsimony in the context of an efficient Markov chain Monte Carlo (MCMC) algorithm. We use this approach in a macroeconomic application involving up to twelve dependent variables. We find our algorithm to work successfully and provide insights beyond those provided by VARs Length: 43 pages Creation-Date: 2014-09 Revision-Date: Publication-Status: Published File-URL: http://www.strath.ac.uk/media/1newwebsite/departmentsubject/economics/research/researchdiscussionpapers/14-09.pdf File-Format: Application/pdf Number: 1409 Classification-JEL: C11, C32, E37 Keywords: VARMA identification, Markov Chain Monte Carlo, Bayesian, stochastic search variable selection Handle: RePEc:str:wpaper:1409