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On the asymptotic distribution of impulse response functions with long run restrictions

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Author Info
P.J.G. Vlaar

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Abstract

In this paper, the asymptotic distribution of the parameters of the moving average representation of structural VAR models with long run restrictions is derived. Moreover, it is shown that the structural model can easily be estimated in a two step procedure, where the reduced form model parameters serve as input for the structural parameters. The proposed model structure is very general, including the common trends model, in the sense that all identification schemes that can be expressed as linear zero restrictions on the contemporaneous or long-run impact of the structural shocks are allowed for. The asymptotic distribution of the moving average parameters can be used to determine asymptotic confidence intervals of impulse response functions or to perform tests of hypotheses concerning forecast error variance decompositions. The relevance of the correction for long run restrictions to the asymptotic distribution is shown in an example on German interest rates.

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Publisher Info
Paper provided by Netherlands Central Bank, Research Department in its series WO Research Memoranda (discontinued) with number 539.

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Date of creation: 1998
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Handle: RePEc:dnb:wormem:539

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Related research
Keywords: cointegration; structural VECM; impulse response functions; asymptotic distribution; long run restrictions; term structure models;

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  1. Gert Wehinger, 2000. "Causes of Inflation in Europe, the United States and Japan: Some Lessons for Maintaining Price Stability in the EMU from a Structural VAR Approach," Empirica, Springer, vol. 27(1), pages 83-107, March. [Downloadable!] (restricted)
  2. Luz Adriana Flórez & Carlos Esteban Posada & José Fernando Escobar, 2004. "El Crédito Y Sus Factores Determinantes: El Caso Colombiano (1990-2004)," BORRADORES DE ECONOMIA 002482, BANCO DE LA REPÚBLICA. [Downloadable!]
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  3. Jan J. J. Groen, 2004. "Corporate credit, stock price inflation and economic fluctuations," Applied Economics, Taylor and Francis Journals, vol. 36(18), pages 1995-2006, October. [Downloadable!] (restricted)
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  4. 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!]
  5. Helene Schuberth, 1998. "Room for Manoeuvre of Economic Policy in EU-Countries are there costs of joining EMU?," Working Papers 35, Oesterreichische Nationalbank (Austrian Central Bank). [Downloadable!]
  6. José Fernando Escobar R. & Carlos Esteban Posada P., . "Dinero, Precios, Tasa de Interés y Actividad Económica: Un Modelo del Caso Colombiano," Borradores de Economia 303, Banco de la Republica de Colombia. [Downloadable!]
  7. Schumacher, Christian, 2000. "Forecasting Trend Output in the Euro Area," Discussion Paper Series 26245, Hamburg Institute of International Economics. [Downloadable!]
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  8. José Fernando Escobar R. & Carlos Estaban Posada, 2004. "Dinero, Precios, Tasa De Interés Y Actividad Económica: Un Modelo Del Caso Colombiano (1984:I-2003:Iv)," BORRADORES DE ECONOMIA 002366, BANCO DE LA REPÚBLICA. [Downloadable!]
  9. Günter Coenen & Juan-Luis Vega, 1999. "The demand for M3 in the euro area," Working Paper Series 6, European Central Bank. [Downloadable!]
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  10. Kirstin Hubrich & Peter J. G. Vlaar, 2000. "Germany and the Euro Area: Differences in the Transmission Process of Monetary Policy," Econometric Society World Congress 2000 Contributed Papers 1802, Econometric Society, revised 08 Nov 2000. [Downloadable!]
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  11. Matteo M. Iacoviello, 2000. "House prices and the macroeconomy in Europe: results from a structural VAR analysis," Working Paper Series 18, European Central Bank. [Downloadable!]
  12. Jan Kakes & Jan-Egbert Sturm, 2001. "Monetary policy and bank lending. Evidence from German banking groups," MEB Series (discontinued) 2001-1, Netherlands Central Bank, Monetary and Economic Policy Department. [Downloadable!]
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  13. P.J.G. Vlaar, 2002. "Shocking the Eurozone," WO Research Memoranda (discontinued) 696, Netherlands Central Bank, Research Department. [Downloadable!]
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  14. P.J.G. Vlaar & H. Schuberth, 1999. "Monetary Transmission and Controllability of Money in Europe: aStructural Vector Error Correction Approach," DNB Staff Reports (discontinued) 36, Netherlands Central Bank. [Downloadable!]
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  15. Annick Bruggeman & Marie Donnay, 2003. "A monthly monetary model with banking intermediation for the euro area," Working Paper Series 264, European Central Bank. [Downloadable!]
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