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On the construction of two-country cointegrated VAR models with an application to the UK and US

  • Heinlein, Reinhold
  • Krolzig, Hans-Martin

In this paper we introduce a cointegrated VAR modelling approach for two-country macro dynamics. In order to tackle the curse of dimensionality resulting from the number of variables in multi-country models, we investigate the applicability of the approach by Aoki (1981) frequently used in economic theory. Aoki showed that for a system of linear differential equations, the assumption of country symmetry allows to decouple the dynamics of country averages and country differences into two autonomous subsystems. While this approach can not be applied straightforwardly to economic time series, we generalize Aoki s approach and demonstrate how it can be utilized for the determination of the long-run properties of the system. Symmetry is rejected for the short-run, thus for the given cointegration vectors the final modelling stage is based on the full two-country system. The econometric modelling approach is then enhanced by a general-to-specific model selection procedure, where the VAR based cointegration analysis is combined with a graph-theoretic search for instantaneous causal relations and an automatic general-to-specific reduction of the vector equilibrium correction model. As an application we build up a macro-econometric two-country model for the UK and the US. The empirical study focusses on the effects of monetary policy on the $/ exchange rate. We find interest rate shocks in the UK cause much stronger exchange rate effects than an unanticipated interest rate change by the Fed.

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Paper provided by Verein für Socialpolitik / German Economic Association in its series Annual Conference 2012 (Goettingen): New Approaches and Challenges for the Labor Market of the 21st Century with number 62310.

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Date of creation: 2012
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Handle: RePEc:zbw:vfsc12:62310
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  1. Faust, Jon & Rogers, John H., 2003. "Monetary policy's role in exchange rate behavior," Journal of Monetary Economics, Elsevier, vol. 50(7), pages 1403-1424, October.
  2. Grilli, Vittorio & Roubini, Nouriel, 1996. "Liquidity models in open economies: Theory and empirical evidence," European Economic Review, Elsevier, vol. 40(3-5), pages 847-859, April.
  3. Selva Demiralp & Kevin D. Hoover, 2003. "Searching for the Causal Structure of a Vector Autoregression," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(s1), pages 745-767, December.
  4. Christina D. Romer & David H. Romer, 2004. "A New Measure of Monetary Shocks: Derivation and Implications," American Economic Review, American Economic Association, vol. 94(4), pages 1055-1084, September.
  5. Forni, Mario & Hallin, Marc & Lippi, Marco & Reichlin, Lucrezia, 1999. "The Generalized Dynamic Factor Model: Identification and Estimation," CEPR Discussion Papers 2338, C.E.P.R. Discussion Papers.
  6. Bouakez, Hafedh & Normandin, Michel, 2010. "Fluctuations in the foreign exchange market: How important are monetary policy shocks?," Journal of International Economics, Elsevier, vol. 81(1), pages 139-153, May.
  7. Granger, Clive W J & Haldrup, Niels, 1997. "Separation in Cointegrated Systems and Persistent-Transitory Decompositions," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(4), pages 449-63, November.
  8. David Hendry & Hans-Martin Krolzig, 2003. "The Properties of Automatic Gets Modelling," Economics Papers 2003-W14, Economics Group, Nuffield College, University of Oxford.
  9. Voss, G.M. & Willard, L.B., 2009. "Monetary policy and the exchange rate: Evidence from a two-country model," Journal of Macroeconomics, Elsevier, vol. 31(4), pages 708-720, December.
  10. Pesaran, M.H. & Weiner, S.M., 2001. "Modelling Regional Interdependencies Using a Global Error-Correcting Macroeconometric Model," Cambridge Working Papers in Economics 0119, Faculty of Economics, University of Cambridge.
  11. Haroon Mumtaz & Paolo Surico, 2009. "The Transmission of International Shocks: A Factor-Augmented VAR Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(s1), pages 71-100, 02.
  12. Peter Spirtes & Clark Glymour & Richard Scheines, 2001. "Causation, Prediction, and Search, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262194406, June.
  13. Kim, Soyoung & Roubini, Nouriel, 2000. "Exchange rate anomalies in the industrial countries: A solution with a structural VAR approach," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 561-586, June.
  14. Hilde C. Bjørnland, 2009. "Monetary policy and exchange rate overshooting: Dornbusch was right after all," Working Paper 2009/09, Norges Bank.
  15. Almuth Scholl & Harald Uhlig, 2005. "New Evidence on the Puzzles. Results from Agnostic Identification on Monetary Policy and Exchange Rates," SFB 649 Discussion Papers SFB649DP2005-037, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  16. Michael Binder & Qianying Chen & Xuan Zhang, 2010. "On the Effects of Monetary Policy Shocks on Exchange Rates," CESifo Working Paper Series 3162, CESifo Group Munich.
  17. Kim, Soyoung, 2005. "Monetary Policy, Foreign Exchange Policy, and Delayed Overshooting," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(4), pages 775-82, August.
  18. Julia Campos & David F. Hendry & Hans-Martin Krolzig, 2003. "Consistent Model Selection by an Automatic "Gets" Approach," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(s1), pages 803-819, December.
  19. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501.
  20. Gourinchas, Pierre-Olivier & Tornell, Aaron, 2004. "Exchange rate puzzles and distorted beliefs," Journal of International Economics, Elsevier, vol. 64(2), pages 303-333, December.
  21. Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-76, December.
  22. Kenneth Rogoff, 2002. "Dornbusch's Overshooting Model After Twenty-Five Years," IMF Working Papers 02/39, International Monetary Fund.
  23. Eichenbaum, Martin & Evans, Charles L, 1995. "Some Empirical Evidence on the Effects of Shocks to Monetary Policy on Exchange Rates," The Quarterly Journal of Economics, MIT Press, vol. 110(4), pages 975-1009, November.
  24. Reinhold Heinlein & Hans-Martin Krolzig, 2012. "Effects of Monetary Policy on the US Dollar/UK Pound Exchange Rate. Is There a “Delayed Overshooting Puzzle”?," Review of International Economics, Wiley Blackwell, vol. 20(3), pages 443-467, 08.
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