[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/p/bca/bocawp/97-1.html
   My bibliography  Save this paper

Reconsidering Cointegration in International Finance: Three Case Studies of Size Distortion in Finite Samples

Author

Listed:
  • Marie-Josée Godbout
  • Simon van Norden
Abstract
This paper reconsiders several recently published but controversial results about the behaviour of exchange rates. In particular, it explores finite-sample problems in the application of cointegration tests and shows how these may have affected the conclusions of recent research. It also demonstrates how simple simulation methods may be used to check the robustness of cointegration tests in particular applied settings, and provides information on the potential sources of size distortion in these tests. Three case studies are presented. The first is the literature on cointegration and prediction of nominal spot exchange rates spawned by Baillie and Bollerslev (1989). The second is work on the long-run validity of the monetary model of exchange rate determination, particularly the contributions of MacDonald and Taylor (1993; 1994a). The final case study looks at the evidence presented by Kasa (1992) on common stochastic trends in the international stock market. Our results suggest that Baillie and Bollerslev's results are unaffected by finite-sample problems, but that the opposite is true for the other two case studies.

Suggested Citation

  • Marie-Josée Godbout & Simon van Norden, 1997. "Reconsidering Cointegration in International Finance: Three Case Studies of Size Distortion in Finite Samples," Staff Working Papers 97-1, Bank of Canada.
  • Handle: RePEc:bca:bocawp:97-1
    as

    Download full text from publisher

    File URL: https://www.bankofcanada.ca/wp-content/uploads/2010/05/wp97-1.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Edison, Hali J. & Gagnon, Joseph E. & Melick, William R., 1997. "Understanding the empirical literature on purchasing power parity: the post-Bretton Woods era," Journal of International Money and Finance, Elsevier, vol. 16(1), pages 1-17, February.
    2. Park, Joon Y, 1992. "Canonical Cointegrating Regressions," Econometrica, Econometric Society, vol. 60(1), pages 119-143, January.
    3. 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.
    4. Baillie, Richard T & Bollerslev, Tim, 1994. "Cointegration, Fractional Cointegration, and Exchange Rate Dynamics," Journal of Finance, American Finance Association, vol. 49(2), pages 737-745, June.
    5. Gregory, Allan W, 1994. "Testing for Cointegration in Linear Quadratic Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 347-360, July.
    6. Gregory C. Reinsel & Sung K. Ahn, 1992. "Vector Autoregressive Models With Unit Roots And Reduced Rank Structure:Estimation. Likelihood Ratio Test, And Forecasting," Journal of Time Series Analysis, Wiley Blackwell, vol. 13(4), pages 353-375, July.
    7. MacDonald, Ronald & Taylor, Mark P., 1994. "The monetary model of the exchange rate: long-run relationships, short-run dynamics and how to beat a random walk," Journal of International Money and Finance, Elsevier, vol. 13(3), pages 276-290, June.
    8. Amano, Robert A. & van Norden, Simon, 1995. "Terms of trade and real exchange rates: the Canadian evidence," Journal of International Money and Finance, Elsevier, vol. 14(1), pages 83-104, February.
    9. Baillie, Richard T & Bollerslev, Tim, 1994. "The long memory of the forward premium," Journal of International Money and Finance, Elsevier, vol. 13(5), pages 565-571, October.
    10. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    11. Kasa, Kenneth, 1992. "Common stochastic trends in international stock markets," Journal of Monetary Economics, Elsevier, vol. 29(1), pages 95-124, February.
    12. Baffes, John, 1994. "Does comovement among exchange rates imply market inefficiency?," Economics Letters, Elsevier, vol. 44(3), pages 273-280.
    13. Toda, Hiro Y, 1994. "Finite Sample Properties of Likelihood Ratio Tests for Cointegrating Ranks when Linear Trends are Present," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 66-79, February.
    14. Martin D. D. Evans & Karen K. Lewis, 2017. "Do Long-Term Swings in the Dollar Affect Estimates of the Risk Premia?," World Scientific Book Chapters, in: Studies in Foreign Exchange Economics, chapter 3, pages 59-99, World Scientific Publishing Co. Pte. Ltd..
    15. Gonzalo, Jesus, 1994. "Five alternative methods of estimating long-run equilibrium relationships," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 203-233.
    16. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    17. Edison, Hali J & Melick, William R, 1999. "Alternative Approaches to Real Exchange Rates and Real Interest Rates: Three Up and Three Down," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 4(2), pages 93-111, April.
    18. Graham Elliott, 1998. "On the Robustness of Cointegration Methods when Regressors Almost Have Unit Roots," Econometrica, Econometric Society, vol. 66(1), pages 149-158, January.
    19. repec:bla:jfinan:v:44:y:1989:i:1:p:167-81 is not listed on IDEAS
    20. GONZALO, Jesus & PITARAKIS, Jean-Yves, 1994. "Comovements in Large Systems," LIDAM Discussion Papers CORE 1994065, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    21. Sephton, Peter S. & Larsen, Hans K., 1991. "Tests of exchange market efficiency: fragile evidence from cointegration tests," Journal of International Money and Finance, Elsevier, vol. 10(4), pages 561-570, December.
    22. Osterwald-Lenum, Michael, 1992. "A Note with Quantiles of the Asymptotic Distribution of the Maximum Likelihood Cointegration Rank Test Statistics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 461-472, August.
    23. Scott Hendry, 1995. "Long-Run Demand for M1," Macroeconomics 9511001, University Library of Munich, Germany.
    24. Nicholas Sarantis, 1994. "The monetary exchange rate model in the long run: An empirical investigation," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 130(4), pages 698-711, December.
    25. Gonzalo, Jesus & Lee, Tae-Hwy, 1998. "Pitfalls in testing for long run relationships," Journal of Econometrics, Elsevier, vol. 86(1), pages 129-154, June.
    26. repec:cup:etheor:v:11:y:1995:i:5:p:1015-32 is not listed on IDEAS
    27. Steven N. Durlauf, 1989. "Output Persistence, Economic Structure, and the Choice of Stabilization Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 20(2), pages 69-136.
    28. Diebold, Francis X & Gardeazabal, Javier & Yilmaz, Kamil, 1994. "On Cointegration and Exchange Rate Dynamics," Journal of Finance, American Finance Association, vol. 49(2), pages 727-735, June.
    29. Toda, Hiro Y., 1995. "Finite Sample Performance of Likelihood Ratio Tests for Cointegrating Ranks in Vector Autoregressions," Econometric Theory, Cambridge University Press, vol. 11(5), pages 1015-1032, October.
    30. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-193, January.
    31. Stephen R. Blough, 1994. "Near observational equivalence and persistence in GNP," Working Papers 94-6, Federal Reserve Bank of Boston.
    32. Ronald Macdonald & Mark P. Taylor, 1993. "The Monetary Approach to the Exchange Rate: Rational Expectations, Long-Run Equilibrium, and Forecasting," IMF Staff Papers, Palgrave Macmillan, vol. 40(1), pages 89-107, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Christian Pinshi, 2020. "Rethinking error correction model in macroeconometric analysis : A relevant review," Working Papers hal-02454971, HAL.
    2. Amano, R. A. & van Norden, S., 1998. "Oil prices and the rise and fall of the US real exchange rate," Journal of International Money and Finance, Elsevier, vol. 17(2), pages 299-316, April.
    3. Christian P Pinshi, 2021. "Repenser le modèle à correction d'erreurs dans l'analyse macroéconométrique : Une revue," Working Papers hal-03168443, HAL.
    4. Boyer, M. Martin & van Norden, Simon, 2006. "Exchange rates and order flow in the long run," Finance Research Letters, Elsevier, vol. 3(4), pages 235-243, December.
    5. David O. Cushman, 2000. "The failure of the monetary exchange rate model for the Canadian-U.S. dollar," Canadian Journal of Economics, Canadian Economics Association, vol. 33(3), pages 591-603, August.
    6. Angela Huang, 2004. "Examining finite-sample problems in the application of cointegration tests for long-run bilateral exchange rates," Reserve Bank of New Zealand Discussion Paper Series DP 2004/08, Reserve Bank of New Zealand.
    7. Lise Pichette, 2000. "Les effets réels du cours des actions sur la consommation," Staff Working Papers 00-21, Bank of Canada.
    8. Marie-Josée Godbout & Simon van Norden, 1996. "Unit-Root Test and Excess Returns," Staff Working Papers 96-10, Bank of Canada.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Marie-Josée Godbout & Simon van Norden, 1996. "Unit-Root Test and Excess Returns," Staff Working Papers 96-10, Bank of Canada.
    2. Phengpis, Chanwit, 2006. "Market efficiency and cointegration of spot exchange rates during periods of economic turmoil: Another look at European and Asian currency crises," Journal of Economics and Business, Elsevier, vol. 58(4), pages 323-342.
    3. Kühl, Michael, 2010. "Bivariate cointegration of major exchange rates, cross-market efficiency and the introduction of the Euro," Journal of Economics and Business, Elsevier, vol. 62(1), pages 1-19, January.
    4. Kühl, Michael, 2007. "Cointegration in the foreign exchange market and market efficiency since the introduction of the Euro: Evidence based on bivariate cointegration analyses," University of Göttingen Working Papers in Economics 68, University of Goettingen, Department of Economics.
    5. Cushman, David O. & Sang Sub Lee & Thorgeirsson, Thorsteinn, 1996. "Maximum likelihood estimation of cointegration in exchange rate models for seven inflationary OECD countries," Journal of International Money and Finance, Elsevier, vol. 15(3), pages 337-368, June.
    6. repec:got:cegedp:68 is not listed on IDEAS
    7. Richard Fu & Marco Pagani, 2012. "On the cointegration of international stock indices," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 36(2), pages 463-480, April.
    8. Barkoulas, John T. & Barilla, Anthony G. & Wells, William, 2016. "Long-memory exchange rate dynamics in the euro era," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 92-100.
    9. Kirstin Hubrich & Helmut Lutkepohl & Pentti Saikkonen, 2001. "A Review Of Systems Cointegration Tests," Econometric Reviews, Taylor & Francis Journals, vol. 20(3), pages 247-318.
    10. David O. Cushman, 2000. "The failure of the monetary exchange rate model for the Canadian-U.S. dollar," Canadian Journal of Economics, Canadian Economics Association, vol. 33(3), pages 591-603, August.
    11. Boyer, M. Martin & van Norden, Simon, 2006. "Exchange rates and order flow in the long run," Finance Research Letters, Elsevier, vol. 3(4), pages 235-243, December.
    12. Crowder, William J. & Wohar, Mark E., 1998. "Cointegration, forecasting and international stock prices," Global Finance Journal, Elsevier, vol. 9(2), pages 181-204.
    13. Ramya Rajajagadeesan Aroul & Peggy E. Swanson, 2018. "Linkages Between the Foreign Exchange Markets of BRIC Countries—Brazil, Russia, India and China—and the USA," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 17(3), pages 333-353, December.
    14. van Amano, Robert A & Norden, Simon, 1998. "Exchange Rates and Oil Prices," Review of International Economics, Wiley Blackwell, vol. 6(4), pages 683-694, November.
    15. Bang Nam Jeon & Euiseong Lee, 2002. "Foreign exchange market efficiency, cointegration, and policy coordination," Applied Economics Letters, Taylor & Francis Journals, vol. 9(1), pages 61-68.
    16. Jose A. Lopez, 1996. "Exchange rate cointegration across central bank regime shifts," Research Paper 9602, Federal Reserve Bank of New York.
    17. Baharumshah, Ahmad Zubaidi & Masih, A. Mansur M., 2005. "Current account, exchange rate dynamics and the predictability: the experience of Malaysia and Singapore," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 15(3), pages 255-270, July.
    18. Diamandis, Panayiotis F. & Georgoutsos, Dimitris A. & Kouretas, Georgios P., 2000. "The monetary model in the presence of I(2) components: long-run relationships, short-run dynamics and forecasting of the Greek drachma," Journal of International Money and Finance, Elsevier, vol. 19(6), pages 917-941, December.
    19. Piotr Wdowiński, 2011. "Model monetarny kursu równowagi złoty/euro: analiza kointegracyjna," Gospodarka Narodowa. The Polish Journal of Economics, Warsaw School of Economics, issue 3, pages 67-86.
    20. Nafeesa Yunus & Peggy Swanson, 2007. "Modelling Linkages between US and Asia‐Pacific Securitized Property Markets," Journal of Property Research, Taylor & Francis Journals, vol. 24(2), pages 95-122.
    21. Norman J. Morin, 2006. "Likelihood ratio tests on cointegrating vectors, disequilibrium adjustment vectors, and their orthogonal complements," Finance and Economics Discussion Series 2006-21, Board of Governors of the Federal Reserve System (U.S.).

    More about this item

    Keywords

    Econometric and statistical methods;

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • F31 - International Economics - - International Finance - - - Foreign Exchange

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bca:bocawp:97-1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/bocgvca.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.