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Eigenvalue Decomposition of Time Series with Application to the Czech Business Cycle

  • Jaromir Benes
  • David Vavra

We follow a Beveridge-Nelson like time series decomposition method (into trend, business cycle and irregular components), and examine a stylized model of price inflation determination using the Czech data. We characterize the estimated components of CPI, IPPI and import inflations, together with the real production wage and real output, and survey their basic correlation properties; furthermore we compute structural innovations imposing restrictions on their long-run effects, draw the impulse responses, and test the results by means of bootstrap simulation. We conclude that major room for further refinement of the research is found in two areas, First, from an economist's perspective, in the construction of real marginal cost indicators, and second, from a statistiacian's perspective, in further investigation of the robustness of the method.

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Paper provided by Czech National Bank, Research Department in its series Working Papers with number 2004/08.

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Date of creation: Dec 2004
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Handle: RePEc:cnb:wpaper:2004/08
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  1. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October.
  2. Jaromir Benes & Papa M'B. P. N'Diaye, 2004. "A Multivariate Filter for Measuring Potential Output and the NAIRU Application to the Czech Republic," IMF Working Papers 04/45, International Monetary Fund.
  3. Lawrence J. Christiano & Martin Eichenbaum & Charles Evans, 2001. "Nominal rigidities and the dynamic effects of a shock to monetary policy," Working Paper 0107, Federal Reserve Bank of Cleveland.
  4. 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.
  5. Hoffmann, Mathias, 2000. "Long run recursive VAR models and QR decompositions," Discussion Paper Series In Economics And Econometrics 0015, Economics Division, School of Social Sciences, University of Southampton.
  6. Lawrence J. Christiano & Terry J. Fitzgerald, 1999. "The Band pass filter," Working Paper 9906, Federal Reserve Bank of Cleveland.
    • Lawrence J. Christiano & Terry J. Fitzgerald, 2003. "The Band Pass Filter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 435-465, 05.
  7. Casals J. & Jerez M. & Sotoca S., 2002. "An Exact Multivariate Model-Based Structural Decomposition," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 553-564, June.
  8. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, March.
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