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Unit-Root Test and Excess Returns

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  • Marie-Josée Godbout
  • Simon van Norden

Abstract

Several recent papers have presented evidence from foreign exchange and other markets suggesting that the log of excess returns can be characterized as first-order integrated processes (I(1)). This contrasts sharply with the "conventional" wisdom that log prices are integrated of order one I(1) and that log returns should therefore be integrated of order zoro I(0), and even more sharply with the view that past returns have no ability to predict future returns (weak market efficiency). It has been suggested that this should be interpreted as evidence of the importance of regime- switching in asset prices, since such non linear processes can produce these results even when returns are truly I(0). This paper syggests an alternative interpretation.

Suggested Citation

  • Marie-Josée Godbout & Simon van Norden, 1996. "Unit-Root Test and Excess Returns," Staff Working Papers 96-10, Bank of Canada.
  • Handle: RePEc:bca:bocawp:96-10
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    References listed on IDEAS

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    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. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know about Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220, National Bureau of Economic Research, Inc.
    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. 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.
    5. 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.
    6. Martin D. D. Evans & Karen K. Lewis, 2017. "Trends in Excess Returns in Currency and Bond Markets," World Scientific Book Chapters, in: Studies in Foreign Exchange Economics, chapter 2, pages 39-57, World Scientific Publishing Co. Pte. Ltd..
    7. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
    8. 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.
    9. 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.
    10. Bekaert, Geert & Hodrick, Robert J., 1993. "On biases in the measurement of foreign exchange risk premiums," Journal of International Money and Finance, Elsevier, vol. 12(2), pages 115-138, April.
    11. 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.
    12. 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.
    13. Cheung, Yin-Wong & Lai, Kon S, 1993. "Finite-Sample Sizes of Johansen's Likelihood Ration Tests for Conintegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 55(3), pages 313-328, August.
    14. Crowder, William J, 1994. "Foreign exchange market efficiency and common stochastic trends," Journal of International Money and Finance, Elsevier, vol. 13(5), pages 551-564, October.
    15. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    16. 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..
    17. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
    18. Evans, Martin D. D. & Lewis, Karen K., 1994. "Do stationary risk premia explain it all?: Evidence from the term structure," Journal of Monetary Economics, Elsevier, vol. 33(2), pages 285-318, April.
    19. Gonzalo, Jesus, 1994. "Five alternative methods of estimating long-run equilibrium relationships," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 203-233.
    20. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    21. Baillie, Richard T & Bollerslev, Tim, 1989. " Common Stochastic Trends in a System of Exchange Rates," Journal of Finance, American Finance Association, vol. 44(1), pages 167-181, March.
    22. 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).
    23. 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.
    24. Scott Hendry, 1995. "Long-Run Demand for M1," Macroeconomics 9511001, University Library of Munich, Germany.
    25. Cochrane, John H., 1991. "A critique of the application of unit root tests," Journal of Economic Dynamics and Control, Elsevier, vol. 15(2), pages 275-284, April.
    26. Meese, Richard A. & Rogoff, Kenneth, 1983. "Empirical exchange rate models of the seventies : Do they fit out of sample?," Journal of International Economics, Elsevier, vol. 14(1-2), pages 3-24, February.
    27. Gonzalo, Jesus & Lee, Tae-Hwy, 1998. "Pitfalls in testing for long run relationships," Journal of Econometrics, Elsevier, vol. 86(1), pages 129-154, June.
    28. repec:cup:etheor:v:11:y:1995:i:5:p:1015-32 is not listed on IDEAS
    29. 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.
    30. 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.
    31. Brenner, Robin J. & Kroner, Kenneth F., 1995. "Arbitrage, Cointegration, and Testing the Unbiasedness Hypothesis in Financial Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 30(1), pages 23-42, March.
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    Cited by:

    1. Eric Zivot, 1998. "Cointegration and Forward and Spot Exchange Rate Regressions," Econometrics 9812001, University Library of Munich, Germany.
    2. Zivot, Eric, 2000. "Cointegration and forward and spot exchange rate regressions," Journal of International Money and Finance, Elsevier, vol. 19(6), pages 785-812, December.
    3. Joseph Atta-Mensah, 2004. "Money Demand and Economic Uncertainty," Staff Working Papers 04-25, Bank of Canada.

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    More about this item

    Keywords

    FINANCIAL MARKET; UNIT ROOTS; PRICES;
    All these keywords.

    JEL classification:

    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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