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Trend and cycle shocks in Bayesian unobserved components models for UK productivity

Author

Listed:
  • Melolinna, Marko

    (Bank of England)

  • Tóth, Máté

    (European Central Bank)

Abstract

This paper presents a range of unobserved components models to study productivity dynamics in the United Kingdom. We introduce a set of univariate and bivariate models that allow for shocks between the trend and the cycle to be correlated, and use Bayesian sampling techniques to estimate the models. We show that the size of the priors on the trend and cycle shock has an effect on the results, suggesting that a range of priors need to be considered for policy-making purposes. If the prior is set to a smooth trend, then models with little correlation between the trend and cycle shocks are the likeliest to fit the data. On the other hand, if there is a prior belief that the trend shock is allowed to vary relatively freely, the results suggest that there is a negative correlation between trend and cycle shocks to LIK productivity. This is consistent with real-business cycle type narratives, where trend shocks are the main driver of productivity dynamics. Finally, our evidence suggests that the trend productivity growth rate in the UK has been weaker since the financial crisis. There is also a significant positive correlation between shocks to UK trend productivity and those of other advanced economies.

Suggested Citation

  • Melolinna, Marko & Tóth, Máté, 2019. "Trend and cycle shocks in Bayesian unobserved components models for UK productivity," Bank of England working papers 826, Bank of England.
    • Handle: RePEc:boe:boeewp:0826
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    References listed on IDEAS

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    1. James C. Morley, 2007. "The Slow Adjustment of Aggregate Consumption to Permanent Income," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(2‐3), pages 615-638, March.
    2. Arabinda Basistha, 2007. "Trend‐cycle correlation, drift break and the estimation of trend and cycle in Canadian GDP," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 40(2), pages 584-606, May.
    3. A. Bergeaud & G. Cette & R. Lecat, 2016. "The role of production factor quality and technology diffusion in 20th century productivity growth," Working papers 588, Banque de France.
    4. Joshua C. C. Chan & Eric Eisenstat, 2015. "Marginal Likelihood Estimation with the Cross-Entropy Method," Econometric Reviews, Taylor & Francis Journals, vol. 34(3), pages 256-285, March.
    5. Riley, Rebecca & Rosazza-Bondibene, Chiara & Young, Garry, 2015. "The UK productivity puzzle 2008-13: evidence from British businesses," Bank of England working papers 531, Bank of England.
    6. Antonin Bergeaud & Gilbert Cette & Rémy Lecat, 2018. "The role of production factor quality and technology diffusion in twentieth-century productivity growth," Cliometrica, Journal of Historical Economics and Econometric History, Association Française de Cliométrie (AFC), vol. 12(1), pages 61-97, January.
    7. Mitra, Sinchan & Sinclair, Tara M., 2012. "Output Fluctuations In The G-7: An Unobserved Components Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 16(3), pages 396-422, June.
    8. Dan Andrews & Chiara Criscuolo & Peter N. Gal, 2016. "The Best versus the Rest: The Global Productivity Slowdown, Divergence across Firms and the Role of Public Policy," OECD Productivity Working Papers 5, OECD Publishing.
    9. James C. Morley & Charles R. Nelson & Eric Zivot, 2003. "Why Are the Beveridge-Nelson and Unobserved-Components Decompositions of GDP So Different?," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 235-243, May.
    10. Angelia L. Grant & Joshua C.C. Chan, 2017. "A Bayesian Model Comparison for Trend‐Cycle Decompositions of Output," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 49(2-3), pages 525-552, March.
    11. Cover, James Peery & Enders, Walter & Hueng, C. James, 2006. "Using the Aggregate Demand-Aggregate Supply Model to Identify Structural Demand-Side and Supply-Side Shocks: Results Using a Bivariate VAR," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(3), pages 777-790, April.
    12. Günes Kamber & James Morley & Benjamin Wong, 2018. "Intuitive and Reliable Estimates of the Output Gap from a Beveridge-Nelson Filter," The Review of Economics and Statistics, MIT Press, vol. 100(3), pages 550-566, July.
    13. Bergeaud, A. & Cette, G. & Lecat, R., 2015. "Productivity trends from 1890 to 2012 in advanced countries," Rue de la Banque, Banque de France, issue 07, June..
    14. Trenkler, Carsten & Weber, Enzo, 2016. "On the identification of multivariate correlated unobserved components models," Economics Letters, Elsevier, vol. 138(C), pages 15-18.
    15. Antonin Bergeaud & Gilbert Cette & Rémy Lecat, 2016. "Productivity Trends in Advanced Countries between 1890 and 2012," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 62(3), pages 420-444, September.
    16. Peter K. Clark, 1987. "The Cyclical Component of U. S. Economic Activity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(4), pages 797-814.
    17. Chan, Joshua C.C. & Grant, Angelia L., 2016. "Fast computation of the deviance information criterion for latent variable models," Computational Statistics & Data Analysis, Elsevier, vol. 100(C), pages 847-859.
    18. Haskel, Jonathan & Bartelsman, Eric J & Martin, Ralf, 2008. "Distance to Which Frontier? Evidence on Productivity Convergence from International Firm-level Data," CEPR Discussion Papers 7032, C.E.P.R. Discussion Papers.
    19. Goodridge, PR & Haskel, J & Wallis, G, 2014. "The UK productivity puzzle is a TFP puzzle: current data and future predictions," Working Papers 18381, Imperial College, London, Imperial College Business School.
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    More about this item

    Keywords

    Business cycle; Markov Chain Monte Carlo; productivity puzzle;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: 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
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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