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Bayesian inference in cointegrated VAR models: with applications to the demand for euro area M3

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  • Warne, Anders

Abstract

The paper considers a Bayesian approach to the cointegrated VAR model with a uniform prior on the cointegration space. Building on earlier work by Villani (2005b), where the posterior probability of the cointegration rank can be calculated conditional on the lag order, the current paper also makes it possible to compute the joint posterior probability of these two parameters as well as the marginal posterior probabilities under the assumption of a known upper bound for the lag order. When the marginal likelihood identity is used for calculating these probabilities, a point estimator of the cointegration space and the weights is required. Analytical expressions are therefore derived of the mode of the joint posterior of these parameter matrices. The procedure is applied to a money demand system for the euro area and the results are compared to those obtained from a maximum likelihood analysis. JEL Classification: C11, C15, C32, E41

Suggested Citation

  • Warne, Anders, 2006. "Bayesian inference in cointegrated VAR models: with applications to the demand for euro area M3," Working Paper Series 692, European Central Bank.
    • Handle: RePEc:ecb:ecbwps:2006692
    Note: 563011
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    Cited by:

    1. Sousa, Ricardo M., 2010. "Housing wealth, financial wealth, money demand and policy rule: Evidence from the euro area," The North American Journal of Economics and Finance, Elsevier, vol. 21(1), pages 88-105, March.
    2. Franz Seitz & Julian von Landesberger, 2014. "Household Money Holdings in the Euro Area: An Explorative Investigation," Journal of Banking and Financial Economics, University of Warsaw, Faculty of Management, vol. 2(2), pages 83-115, November.
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    4. Dison, Will & Theodoridis, Konstantinos, 2017. "Do macro shocks matter for equities?," Bank of England working papers 692, Bank of England.
    5. Ansgar Belke & Robert Czudaj, 2010. "Is Euro Area Money Demand (Still) Stable? Cointegrated VAR Versus Single Equation Techniques," Applied Economics Quarterly (formerly: Konjunkturpolitik), Duncker & Humblot, Berlin, vol. 56(4), pages 285-315.
    6. Beyer, Andreas, 2009. "A Stable Model for Euro Area Money Demand: Revisiting the Role of Wealth," Working Paper Series 1111, European Central Bank.
    7. Ansgar Belke & Robert Czudaj, 2010. "Is Euro Area Money Demand (Still) Stable? – Cointegrated VAR versus Single Equation Techniques," Ruhr Economic Papers 0171, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    8. Andrea Silvestrini, 2010. "Testing fiscal sustainability in Poland: a Bayesian analysis of cointegration," Empirical Economics, Springer, vol. 39(1), pages 241-274, August.

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    More about this item

    Keywords

    Bayesian inference; cointegration; lag order; money demand; vector autoregression.;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money

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