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A Bounded Model of Time Variation in Trend Inflation, NAIRU and the Phillips Curve

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  • Joshua C C Chan

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  • Gary Koop

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  • Simon M Potter

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Abstract

In this paper, we develop a bivariate unobserved components model for inflation and unemployment. The unobserved components are trend inflation and the non-accelerating inflation rate of unemployment (NAIRU). Our model also incorporates a time-varying Phillips curve and time-varying inflation persistence. What sets this paper apart from the existing literature is that we do not use unbounded random walks for the unobserved components, but rather use bounded random walks. For instance, trend inflation is assumed to evolve within bounds. Our empirical work shows the importance of bounding. We find that our bounded bivariate model forecasts better than many alternatives, including a version of our model with unbounded unobserved components. Our model also yields sensible estimates of trend inflation, NAIRU, inflation persistence and the slope of the Phillips.

Suggested Citation

  • Joshua C C Chan & Gary Koop & Simon M Potter, 2012. "A Bounded Model of Time Variation in Trend Inflation, NAIRU and the Phillips Curve," ANU Working Papers in Economics and Econometrics 2012-590, Australian National University, College of Business and Economics, School of Economics.
  • Handle: RePEc:acb:cbeeco:2012-590
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    File URL: https://www.cbe.anu.edu.au/researchpapers/econ/wp590.pdf
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    References listed on IDEAS

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    1. Tim W. Cogley, 2003. "Drifts and Volatilities: Monetary Policies and Outcomes in the Post War U.S," Working Papers 35, University of California, Davis, Department of Economics.
    2. Joshua Chan & Rodney Strachan, 2012. "Estimation in Non-Linear Non-Gaussian State Space Models with Precision-Based Methods," CAMA Working Papers 2012-13, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    3. Charles L. Weise, 2012. "Political Pressures on Monetary Policy during the US Great Inflation," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(2), pages 33-64, April.
    4. Timothy Cogley & Giorgio E. Primiceri & Thomas J. Sargent, 2010. "Inflation-Gap Persistence in the US," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(1), pages 43-69, January.
    5. Dotsey, Michael & Fujita, Shigeru & Stark, Tom, 2011. "Do Phillips curves conditionally help to forecast inflation?," Working Papers 11-40, Federal Reserve Bank of Philadelphia.
    6. Koop, Gary & Korobilis, Dimitris, 2010. "Bayesian Multivariate Time Series Methods for Empirical Macroeconomics," Foundations and Trends(R) in Econometrics, now publishers, vol. 3(4), pages 267-358, July.
    7. Andrea Stella & James H. Stock, 2012. "A state-dependent model for inflation forecasting," International Finance Discussion Papers 1062, Board of Governors of the Federal Reserve System (U.S.).
    8. Andrew Atkeson & Lee E. Ohanian, 2001. "Are Phillips curves useful for forecasting inflation?," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win, pages 2-11.
    9. Timothy Cogley & Argia M. Sbordone, 2008. "Trend Inflation, Indexation, and Inflation Persistence in the New Keynesian Phillips Curve," American Economic Review, American Economic Association, vol. 98(5), pages 2101-2126, December.
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    Cited by:

    1. Berger, Tino & Everaert, Gerdie & Vierke, Hauke, 2016. "Testing for time variation in an unobserved components model for the U.S. economy," Journal of Economic Dynamics and Control, Elsevier, vol. 69(C), pages 179-208.
    2. Chan, Joshua C C & Clark, Todd E. & Koop, Gary, 2015. "A New Model of Inflation, Trend Inflation, and Long-Run Inflation Expectations," Working Paper 1520, Federal Reserve Bank of Cleveland.
    3. Dany-Knedlik, Geraldine & Holtemöller, Oliver, 2017. "Inflation dynamics during the financial crisis in Europe: Cross-sectional identification of long-run inflation expectations," IWH Discussion Papers 10/2017, Halle Institute for Economic Research (IWH).
    4. Joshua C.C. Chan, 2015. "Specification tests for time-varying parameter models with stochastic volatility," CAMA Working Papers 2015-42, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    5. repec:eee:ecmode:v:69:y:2018:i:c:p:291-300 is not listed on IDEAS
    6. Michal Andrle & Miroslav Plašil, 2016. "System Priors for Econometric Time Series," IMF Working Papers 16/231, International Monetary Fund.
    7. Mallick, Debdulal, 2014. "A Spectral Representation of the Phillips Curve in Australia," MPRA Paper 59794, University Library of Munich, Germany.
    8. Kim, Insu & Yie, Myung-Soo, 2016. "Trend inflation, firms' backward-looking behavior, and inflation gap persistence," Economic Modelling, Elsevier, vol. 58(C), pages 116-125.
    9. Mallick, Debdulal, 2016. "Policy Regimes and the Shape of the Phillips Curve in Australia," MPRA Paper 71082, University Library of Munich, Germany, revised 2016.
    10. repec:bpj:bejmac:v:17:y:2017:i:1:p:42:n:3 is not listed on IDEAS

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