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Bayes estimates of Markov trends in possibly cointegrated series

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Author Info
R. Paap ()
H.K. van Dijk () (FEW-Econometrie en besliskunde)

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Abstract

Stylized facts show that average growth rates of US per capita consumption and income differ in recession and expansion periods. Since a linear combination of such series does not have to be a constant mean process, standard cointegration analysis between the variables to examine the permanent income hypothesis may not be valid. To model the changing growth rates in both series, we introduce a multivariate Markov trend model, which accounts for different growth rates in consumption and income during expansions and recessions and across variables within both regimes. The deviations from the multivariate Markov trend are modeled by a vector autoregressive model. Bayes estimates of this model are obtained using Markov chain Monte Carlo methods. The empirical results suggest the existence of a cointegration relation between US per capita disposable income and consumption, after correction for a multivariate Markov trend. This results is also obtained when per capita investment is added to the vector autoregression.

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Paper provided by Erasmus University Rotterdam, Econometric Institute in its series Econometric Institute Report with number 295.

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Date of creation: 2002
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Handle: RePEc:dgr:eureir:2002295

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Related research
Keywords: Multivariate Markov trend Cointegration MCMC Permanent income hypothesis;

Find related papers by JEL classification:
C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - General
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions

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  1. Cliff L. F. Attfield & Jonathan R. W. Temple, 2006. "Balanced growth and the great ratios: new evidence for the US and UK," Centre for Growth and Business Cycle Research Discussion Paper Series 75, Economics, The Univeristy of Manchester. [Downloadable!]
  2. HOOGERHEIDE, Lennart F. & KAASHOEK, Johan F. & VAN DIJK, Herman K., 2005. "On the shape of posterior densities and credible sets in instrumental variable regression models with reduced rank: An application of flexible sampling methods using neural networks," CORE Discussion Papers 2005029, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
    Other versions:
  3. Vasco Gabriel & Fernando Alexandre & Pedro Bação, 2007. "The Consumption-Wealth Ratio Under Asymmetric Adjustment," GEMF Working Papers 2007-06, GEMF - Faculdade de Economia, Universidade de Coimbra. [Downloadable!]
    Other versions:
  4. Lennart F. Hoogerheide & Johan F. Kaashoek, 2004. "Functional Approximations to Likelihoods/Posterior Densities: A Neural Network Approach to Efficient Sampling," Computing in Economics and Finance 2004 74, Society for Computational Economics. [Downloadable!]
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