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Multivariate detrending under common trend restrictions: implications for business cycle research

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  • Sharon Kozicki

Abstract

This paper outlines a methodology to detrend multiple time series under common trend restrictions. The same filters used to construct the estimated trend in univariate exercises are shown to be appropriate in multivariate studies with a single common trend. However, to estimate the common trend in the multivariate case, the filter is applied to a linear combination of series rather than to each series individually. An empirical example and simulation exercises illustrate the implications of common trend detrending for measurement of business cycle properties.

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Bibliographic Info

Paper provided by Federal Reserve Bank of Kansas City in its series Research Working Paper with number 96-01.

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Date of creation: 1996
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Handle: RePEc:fip:fedkrw:96-01

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Keywords: Business cycles ; Time-series analysis;

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References

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  1. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  2. Marianne Baxter & Robert G. King, 1999. "Measuring Business Cycles: Approximate Band-Pass Filters For Economic Time Series," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 575-593, November.
  3. Nelson, Charles R & Kang, Heejoon, 1981. "Spurious Periodicity in Inappropriately Detrended Time Series," Econometrica, Econometric Society, vol. 49(3), pages 741-51, May.
  4. Canova, Fabio, 1993. "Detrending and Business Cycle Facts," CEPR Discussion Papers 782, C.E.P.R. Discussion Papers.
  5. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : II. New directions," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 309-341.
  6. Robert G. King & Charles I. Plosser & James H. Stock & Mark W. Watson, 1991. "Stochastic trends and economic fluctuations," Working Paper Series, Macroeconomic Issues 91-4, Federal Reserve Bank of Chicago.
  7. King, Robert G. & Rebelo, Sergio T., 1993. "Low frequency filtering and real business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 17(1-2), pages 207-231.
  8. Watson, Mark W., 1986. "Univariate detrending methods with stochastic trends," Journal of Monetary Economics, Elsevier, vol. 18(1), pages 49-75, July.
  9. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
  10. Lawrence J. Christiano & Martin Eichenbaum, 1990. "Current real business cycle theories and aggregate labor market fluctuations," Discussion Paper / Institute for Empirical Macroeconomics 24, Federal Reserve Bank of Minneapolis.
  11. 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.
  12. Cochrane, John H, 1994. "Permanent and Transitory Components of GNP and Stock Prices," The Quarterly Journal of Economics, MIT Press, vol. 109(1), pages 241-65, February.
  13. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
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Citations

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Cited by:
  1. Athanasios Orphanides & Simon van Norden, 1999. "The reliability of output gap estimates in real time," Finance and Economics Discussion Series 1999-38, Board of Governors of the Federal Reserve System (U.S.).
  2. Anthony Garratt & Donald Robertson & Stephen Wright, 2005. "Permanent vs Transitory Components and Economic Fundamentals," Birkbeck Working Papers in Economics and Finance 0501, Birkbeck, Department of Economics, Mathematics & Statistics.
  3. Sharon Kozicki & P.A. Tinsley, 1998. "Vector rational error correction," Research Working Paper 98-03, Federal Reserve Bank of Kansas City.
  4. Fiona Atkins, 2005. "Financial Crises and Money Demand in Jamaica," Birkbeck Working Papers in Economics and Finance 0512, Birkbeck, Department of Economics, Mathematics & Statistics.
  5. Joannes Mongardini & Tahsin Saadi-Sedik, 2003. "Estimating Indexes of Coincident and Leading Indicators: An Application to Jordan," IMF Working Papers 03/170, International Monetary Fund.
  6. Michael J. Dueker & Charles R. Nelson, 2003. "Business cycle detrending of macroeconomic data via a latent business cycle index," Working Papers 2002-025, Federal Reserve Bank of St. Louis.
  7. Julio J. Rotemberg, 1999. "A Heuristic Method for Extracting Smooth Trends from Economic Time Series," NBER Working Papers 7439, National Bureau of Economic Research, Inc.
  8. Russell Barnett & Sharon Kozicki & Christopher Petrinec, 2009. "Parsing shocks: real-time revisions to gap and growth projections for Canada," Review, Federal Reserve Bank of St. Louis, issue Jul, pages 247-266.
  9. Amano, Robert & Coletti , Don & Murchison , Stephen, 2000. "Empirical Estimation and the Quarterly Projection Model: An Example Focusing on the External Sector," Working Paper Series 104, Sveriges Riksbank (Central Bank of Sweden).

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