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Common Stochastic Trends In International Stock Markets: Testing In An Integrated Framework

  • Dimitris Georgoutsos
  • George Kouretas


    (Department of Economics, University of Crete, Greece)

In this paper we analyze the implications for the identification of common stochastic trends among stock price indices of using data transformed on a ”real dollar” basis. By applying a “general” VAR model where all the relevant variables (stock indices, consumer price indices and the exchange rate) are included, we show that the expected results from the cointegration analysis differ substantially. In particular it is shown that if four common stochastic trends drive the system then cointegration between the indices transformed in nominal dollars should be the relevant test while the use of their “real dollars equivalent” is superfluous. In cases where three common stochastic trends exist then a reasonable specification of the model would imply that the Purchasing Power Parity condition accounts for one of them while the second one relates to a cointegrating relation between the stock indices in nominal domestic currency terms. We apply the testing methodology developed by Johansen (1992a, 1995a, 1997) and extended by Paruolo (1996) and Rahbek et al. (1999) to examine the presence of I(2) and I(1) components in a multivariate context using monthly data for the US, UK, Germany and Japan for the period 1980 – 2000. Four possible economic scenarios were considered in a bivariate setting and two of them were found to be statistically supported. By imposing linear restrictions on each cointegrating vector as suggested by Johansen and Juselius (1994), the order and rank conditions for statistical identification are satisfied while the test for economic identification was not significant for each bilateral case, namely US-UK, US-Germany, US-Japan. The main findings suggest that the policy to transform the data into a “real” dollar basis, which is often encountered in the literature, lacks empirical support. Furthermore, the stability results indicate that cointegration was established in the early 1990s which implies that some form of policy coordination between the G-7 countries was implemented in the aftermath of the October 1987 crisis.

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Paper provided by University of Crete, Department of Economics in its series Working Papers with number 0104.

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Length: 40 pages
Date of creation: 00 Jun 2001
Date of revision:
Handle: RePEc:crt:wpaper:0104
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  1. Dornbusch, Rudiger, 1989. " Real Exchange Rates and Macroeconomics: A Selective Survey," Scandinavian Journal of Economics, Wiley Blackwell, vol. 91(2), pages 401-32.
  2. Johansen, S., 1991. "A Statistical Analsysis of Cointegration for I(2) Variables," Papers 77, Helsinki - Department of Economics.
  3. Lucas, Robert Jr., 1982. "Interest rates and currency prices in a two-country world," Journal of Monetary Economics, Elsevier, vol. 10(3), pages 335-359.
  4. Johansen, Soren & Juselius, Katarina, 1994. "Identification of the long-run and the short-run structure an application to the ISLM model," Journal of Econometrics, Elsevier, vol. 63(1), pages 7-36, July.
  5. Bracker, Kevin & Docking, Diane Scott & Koch, Paul D., 1999. "Economic determinants of evolution in international stock market integration," Journal of Empirical Finance, Elsevier, vol. 6(1), pages 1-27, January.
  6. Katarina Juselius, 1999. "Models and Relations in Economics and Econometrics," Discussion Papers 99-13, University of Copenhagen. Department of Economics.
  7. Lee, Tae-Hwy & Tse, Yiuman, 1996. "Cointegration tests with conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 73(2), pages 401-410, August.
  8. Kenneth Kasa, 1995. "Comovements among national stock markets," Economic Review, Federal Reserve Bank of San Francisco, pages 14-20.
  9. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
  10. Juselius, Katarina, 1995. "Do purchasing power parity and uncovered interest rate parity hold in the long run? An example of likelihood inference in a multivariate time-series model," Journal of Econometrics, Elsevier, vol. 69(1), pages 211-240, September.
  11. Johansen, Soren & Juselius, Katarina, 1990. "Maximum Likelihood Estimation and Inference on Cointegration--With Applications to the Demand for Money," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 52(2), pages 169-210, May.
  12. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
  13. King, Mervyn & Sentana, Enrique & Wadhwani, Sushil, 1994. "Volatility and Links between National Stock Markets," Econometrica, Econometric Society, vol. 62(4), pages 901-33, July.
  14. Anthony J. Richards, 1996. "Comovements in National Stock Market Returns: Evidence of Predictability But Not Cointegration," IMF Working Papers 96/28, International Monetary Fund.
  15. Eun, Cheol S. & Shim, Sangdal, 1989. "International Transmission of Stock Market Movements," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(02), pages 241-256, June.
  16. Serletis, Apostolos & King, Martin, 1997. "Common Stochastic Trends and Convergence of European Union Stock Markets," The Manchester School of Economic & Social Studies, University of Manchester, vol. 65(1), pages 44-57, January.
  17. Johansen, Soren, 1992. "Determination of Cointegration Rank in the Presence of a Linear Trend," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 383-97, August.
  18. Leachman, Lori L. & Francis, Bill, 1995. "Long-run relations among the G-5 and G-7 equity markets: Evidence on the Plaza and Louvre Accords," Journal of Macroeconomics, Elsevier, vol. 17(4), pages 551-577.
  19. Corhay, A. & Tourani Rad, A. & Urbain, J. -P., 1993. "Common stochastic trends in European stock markets," Economics Letters, Elsevier, vol. 42(4), pages 385-390.
  20. Johansen, Soren, 1995. "Identifying restrictions of linear equations with applications to simultaneous equations and cointegration," Journal of Econometrics, Elsevier, vol. 69(1), pages 111-132, September.
  21. Kasa, Kenneth, 1992. "Common stochastic trends in international stock markets," Journal of Monetary Economics, Elsevier, vol. 29(1), pages 95-124, February.
  22. Granger, Clive W J, 1986. "Developments in the Study of Cointegrated Economic Variables," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 213-28, August.
  23. Johansen, Søren & Juselius, Katarina, 1992. "Testing structural hypotheses in a multivariate cointegration analysis of the PPP and the UIP for UK," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 211-244.
  24. Henrik Hansen & Søren Johansen, 1999. "Some tests for parameter constancy in cointegrated VAR-models," Econometrics Journal, Royal Economic Society, vol. 2(2), pages 306-333.
  25. Paruolo, Paolo, 1996. "On the determination of integration indices in I(2) systems," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 313-356.
  26. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
  27. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November.
  28. Gonzalo, Jesus, 1994. "Five alternative methods of estimating long-run equilibrium relationships," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 203-233.
  29. Francis, Bill B. & Leachman, Lori L., 1998. "Superexogeneity and the dynamic linkages among international equity markets," Journal of International Money and Finance, Elsevier, vol. 17(3), pages 475-492, June.
  30. Johansen, Søren, 1992. "A Representation of Vector Autoregressive Processes Integrated of Order 2," Econometric Theory, Cambridge University Press, vol. 8(02), pages 188-202, June.
  31. Pantula, Sastry G., 1989. "Testing for Unit Roots in Time Series Data," Econometric Theory, Cambridge University Press, vol. 5(02), pages 256-271, August.
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