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Estimating shocks and impulse response functions

Author

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  • Michael R. Wickens

    (Department of Economics and Related Studies, University of York, Heslington, York YO1 5DD, UK)

  • Roberto Motto

    (University of York and Universita Statale di Milano, Italy)

Abstract

This paper examines the issue of how to identify the shocks in a cointegrated VAR when the following assumptions are made: the variables can be classified as endogenous or exogenous, there are as many cointegrating relations as endogenous variables, the cointegrating vectors are identified and they contain at least one exogenous variable. It is shown that with these assumptions it is possible to identify the shocks without the use of further restrictions on the covariance matrix of the disturbances or the short-run dynamics. If the long-run parameters are known the whole model can be estimated by OLS. The analysis is extended to allow the VAR to have both stationary and non-stationary variables. An illustration of the method is provided using the traditional benchmark VAR model involving US data on output, prices, interest rates and money. A liquidity effect is not found using this VAR methodology. Copyright © 2001 John Wiley & Sons, Ltd.

Suggested Citation

  • Michael R. Wickens & Roberto Motto, 2001. "Estimating shocks and impulse response functions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(3), pages 371-387.
  • Handle: RePEc:jae:japmet:v:16:y:2001:i:3:p:371-387
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    File URL: http://qed.econ.queensu.ca:80/jae/2001-v16.3/
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    Cited by:

    1. Stan Hurn & Ralf Becker, 2007. "Testing for nonlinearity in mean in the presence of heteroskedasticity. Working paper #8," NCER Working Paper Series 8, National Centre for Econometric Research.
    2. Jacobs, Jan P.A.M. & Wallis, Kenneth F., 2010. "Cointegration, long-run structural modelling and weak exogeneity: Two models of the UK economy," Journal of Econometrics, Elsevier, vol. 158(1), pages 108-116, September.
    3. Qin, Duo & Cagas, Marie Anne & Quising, Pilipinas & He, Xin-Hua, 2006. "How much does investment drive economic growth in China?," Journal of Policy Modeling, Elsevier, vol. 28(7), pages 751-774, October.
    4. n/a, 2007. "Monetary Policy, Beliefs, Unemployment and Inflation; Evidence from the UK," National Institute of Economic and Social Research (NIESR) Discussion Papers 305, National Institute of Economic and Social Research.
    5. Haug, Alfred A. & Karagedikli, Ozer & Ranchhod, Satish, 2005. "Monetary policy transmission mechanisms and currency unions: A vector error correction approach to a Trans-Tasman currency union," Journal of Policy Modeling, Elsevier, vol. 27(1), pages 55-74, February.
    6. Yang, Zan & Wang, Songtao & Campbell, Robert, 2010. "Monetary policy and regional price boom in Sweden," Journal of Policy Modeling, Elsevier, vol. 32(6), pages 865-879, November.
    7. Richard Tiffin & P. J. Dawson, 2002. "The Demand for Calories: Some Further Estimates from Zimbabwe," Journal of Agricultural Economics, Wiley Blackwell, vol. 53(2), pages 221-232.
    8. Erdoğan, Seyfettin & Karacan, Rıdvan & Alpaslan, Barış, 2013. "Interest Rates, Exchange Rates and Macroeconomic Performance," MPRA Paper 50838, University Library of Munich, Germany.
    9. M. Hashem Pesaran & Yongcheol Shin, 2002. "Long-Run Structural Modelling," Econometric Reviews, Taylor & Francis Journals, vol. 21(1), pages 49-87.
    10. Imke Brüggemann, 2003. "Measuring Monetary Policy in Germany: A Structural Vector Error Correction Approach," German Economic Review, Verein für Socialpolitik, vol. 4, pages 307-339, August.
    11. Anthony Garratt & Kevin Lee & M. Hashem Pesaran & Yongcheol Shin, 2003. "A Long run structural macroeconometric model of the UK," Economic Journal, Royal Economic Society, vol. 113(487), pages 412-455, April.
    12. Pagan, A. & Pesaran, M.H., 2007. "On Econometric Analysis of Structural Systems with Permanent and Transitory Shocks and Exogenous Variables," Cambridge Working Papers in Economics 0662, Faculty of Economics, University of Cambridge.
    13. Svetlana Vtyurina & Fahad Alturki, 2010. "Inflation in Tajikistan; Forecasting Analysis and Monetary Policy Challenges," IMF Working Papers 10/17, International Monetary Fund.
    14. Céline Gauthier & Fu Chun Li, 2006. "Linking Real Activity and Financial Markets: The Bonds, Equity, and Money (BEAM) Model," Staff Working Papers 06-42, Bank of Canada.
    15. William D. Lastrapes & W. Douglas McMillin, 2004. "Cross-Country Variation in the Liquidity Effect: The Role of Financial Markets," Economic Journal, Royal Economic Society, vol. 114(498), pages 890-915, October.
    16. Céline Gauthier & Fuchun Li, 2005. "Linking real activity and financial markets: the first steps towards a small estimated model for Canada," BIS Papers chapters,in: Bank for International Settlements (ed.), Investigating the relationship between the financial and real economy, volume 22, pages 253-72 Bank for International Settlements.
    17. Pagan, A.R. & Pesaran, M. Hashem, 2008. "Econometric analysis of structural systems with permanent and transitory shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3376-3395, October.
    18. Celine Gauthier & Virginie Traclet, 2004. "Do Domestic Macroeconomic Factors Play a Role in Determining Long-Term Nominal Interest Rates? Application in the Case of a Small Open-Economy," Money Macro and Finance (MMF) Research Group Conference 2004 90, Money Macro and Finance Research Group.
    19. Park JiYoung & Gordon Peter & Jun Eunha & Moore James E & Richardson Harry W., 2009. "Identifying the Regional Economic Impacts of 9/11," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 15(2), pages 1-34, July.
    20. Polito, Vito & Wickens, Michael R., 2008. "Optimal Monetary Policy using a VAR," CEPR Discussion Papers 6957, C.E.P.R. Discussion Papers.

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