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Spectral based methods to identify common trends and common cycles

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Author Info
Gonzalo Camba-Mendez () (European Central Bank, Kaiserstrasse 29, Postfach 16 03 19, 60066 Frankfurt am Main, Germany.)
George Kapetanios (University of London - Queen Mary College - Department of Economics, Mile End Road, London E1 4NS, United Kingdom.)
Abstract

The rank of the spectral density matrix conveys relevant information in a variety of modelling scenarios. Phillips (1986) showed that a necessary condition for cointegration is that the spectral density matrix of the innovation sequence at frequency zero is of a reduced rank. In a recent paper Forni and Reichlin (1998) suggested the use of generalized dynamic factor model to explain the dynamics of a large set of macroeconomic series. Their method relied also on the computation of the rank of the spectral density matrix. This paper provides formal tests to estimate the rank of the spectral density matrix at any given frequency. The tests of rank at frequency zero are tests of the null of 'cointegration', complementary to those suggested by Phillips and Ouliaris (1988) which test the null of ‘no cointegration'. JEL Classification: C12; C15; C32.

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Paper provided by European Central Bank in its series Working Paper Series with number 062.

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Length: 19 pages
Date of creation: Apr 2001
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Handle: RePEc:ecb:ecbwps:20010062

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Related research
Keywords: Tests of rank; spectral density matrix; canonical correlations.;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  2. Fiorella de Fiore, 2000. "The optimal inflation tax when taxes are costly to collect," Working Paper Series 38, European Central Bank. [Downloadable!]
  3. Günter Coenen, 2000. "Asymptotic confidence bands for the estimated autocovariance and autocorrelation functions of vector autoregressive models," Working Paper Series 09, European Central Bank. [Downloadable!]
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  4. Forni, Mario & Reichlin, Lucrezia, 1998. "Let's Get Real: A Factor Analytical Approach to Disaggregated Business Cycle Dynamics," Review of Economic Studies, Blackwell Publishing, vol. 65(3), pages 453-73, July. [Downloadable!] (restricted)
  5. Vahid, F & Engle, Robert F, 1993. "Common Trends and Common Cycles," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(4), pages 341-60, Oct.-Dec.. [Downloadable!] (restricted)
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  6. Orphanides, Athanasios & Wieland, Volker, 2000. "Inflation zone targeting," European Economic Review, Elsevier, vol. 44(7), pages 1351-1387, June. [Downloadable!] (restricted)
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  7. Ignazio Angeloni & Luca Dedola, 1999. "From the ERM to the euro: new evidence on economic and policy convergence among EU countries," Working Paper Series 4, European Central Bank. [Downloadable!]
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  8. Carlo Monticelli & Oreste Tristani, 1999. "What does the single monetary policy do? A SVAR benchmark for the European Central Bank," Working Paper Series 2, European Central Bank. [Downloadable!]
  9. Engle, Robert F. & Issler, Joao Victor, 1995. "Estimating common sectoral cycles," Journal of Monetary Economics, Elsevier, vol. 35(1), pages 83-113, February. [Downloadable!] (restricted)
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  12. Detken, Carsten & Hartmann, Philipp, 2000. "The Euro and International Capital Markets," CEPR Discussion Papers 2461, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  13. Livio Stracca, 2001. "The functional form of the demand for euro area M1," Working Paper Series 051, European Central Bank. [Downloadable!]
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  14. Carsten Detken, 1999. "Fiscal policy effectiveness and neutrality results in a non-Ricardian world," Working Paper Series 3, European Central Bank. [Downloadable!]
  15. Perez-Quiros, G. & Timmermann, A., 2001. "Business Cycle Asymmetries in Stock Returns: Evidence from Higher Order Moments and Conditional Densities," Papers 58, Quebec a Montreal - Recherche en gestion.
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  16. Jan Marc Berk & Peter A.G. Vanbergeijk, 2000. "Is the yield curve a useful information variable for the Eurosystem?," Working Paper Series 11, European Central Bank. [Downloadable!]
  17. Juan Luis Vega-Croissier & Mark A. Wynne, 2001. "An evaluation of some measures of core inflation for the euro area," Working Paper Series 053, European Central Bank. [Downloadable!]
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  19. Olivier de Bandt & E Philip Davis, 1999. "A cross-country comparison of market structures in European banking," Working Paper Series 7, European Central Bank. [Downloadable!]
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  1. Crowley , Patrick & Maraun , Douglas & Mayes , David, 2006. "How hard is the euro are core? An evaluation of growth cycles using wavelet analysis," Research Discussion Papers 18/2006, Bank of Finland. [Downloadable!]
  2. Crowley, Patrick, 2005. "An intuitive guide to wavelets for economists," Research Discussion Papers 1/2005, Bank of Finland. [Downloadable!]
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