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Economic Growth and Business Cycles: A Critical Comment on Detrending Time Series (Revised Version)

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Klaus Reiner Schenk-Hoppé

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Abstract

In this paper we pursue an approach based on economic theory to illustrate possible shortcomings of widely-used detrending methods.We analyze a simple model of economic growth and business cycles in which investment and technical progress are stochastic.The Hodrick-Prescott and the Baxter-King filter are shown to detect spurious business cycles which are not related to actual cycles in the model.Our results cast doubts on the validity of commonly-accepted stylized business cycle facts. We also discuss the relation of business-cycle dating based on indicators of economic activity,as e.g.applied by the NBER,and the detrending results.

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Paper provided by Institute for Empirical Research in Economics - IEW in its series IEW - Working Papers with number iewwp054.

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Handle: RePEc:zur:iewwpx:054

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Related research
Keywords: detrending; business cycles; growth;

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Find related papers by JEL classification:
E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
C68 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computable General Equilibrium Models

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  1. George W. Stadler, 1994. "Real Business Cycles," Journal of Economic Literature, American Economic Association, vol. 32(4), pages 1750-1783, December. [Downloadable!] (restricted)
  2. Jaeger, Albert, 1994. "Mechanical Detrending by Hodrick-Prescott Filtering: A Note," Empirical Economics, Springer, vol. 19(3), pages 493-500.
  3. Harvey, A C & Jaeger, A, 1993. "Detrending, Stylized Facts and the Business Cycle," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(3), pages 231-47, July-Sept. [Downloadable!] (restricted)
  4. Nelson, Charles R & Kang, Heejoon, 1981. "Spurious Periodicity in Inappropriately Detrended Time Series," Econometrica, Econometric Society, vol. 49(3), pages 741-51, May. [Downloadable!] (restricted)
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  5. Burnside, Craig, 1998. "Detrending and business cycle facts: A comment," Journal of Monetary Economics, Elsevier, vol. 41(3), pages 513-532, May. [Downloadable!] (restricted)
  6. Canova, Fabio, 1998. "Detrending and business cycle facts: A user's guide," Journal of Monetary Economics, Elsevier, vol. 41(3), pages 533-540, May. [Downloadable!] (restricted)
  7. Timothy Cogley & James M. Nason, 1993. "Effects of the Hodrick-Prescott filter on trend and difference stationary time series: implications for business cycle research," Working Papers in Applied Economic Theory 93-01, Federal Reserve Bank of San Francisco.
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  8. Gregory, Allan W. & Smith, Gregor W., 1996. "Measuring business cycles with business-cycle models," Journal of Economic Dynamics and Control, Elsevier, vol. 20(6-7), pages 1007-1025. [Downloadable!] (restricted)
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  9. Marianne Baxter & Robert G. King, 1995. "Measuring Business Cycles Approximate Band-Pass Filters for Economic Time Series," NBER Working Papers 5022, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  10. Canova, Fabio, 1998. "Detrending and business cycle facts," Journal of Monetary Economics, Elsevier, vol. 41(3), pages 475-512, May. [Downloadable!] (restricted)
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  11. Fatas, Antonio, 2000. "Endogenous growth and stochastic trends," Journal of Monetary Economics, Elsevier, vol. 45(1), pages 107-128, February. [Downloadable!] (restricted)
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  12. Pierre Danthine, Jean & Donaldson, John B., 1993. "Methodological and empirical issues in real business cycle theory," European Economic Review, Elsevier, vol. 37(1), pages 1-35, January. [Downloadable!] (restricted)
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  13. King, Robert G. & Rebelo, Sergio T., 1999. "Resuscitating real business cycles," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 14, pages 927-1007 Elsevier. [Downloadable!] (restricted)
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