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Unit-Root Test and Excess Returns

  • Godbout, M.J.
  • Van Norden, S.

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.

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Paper provided by Bank of Canada in its series Working Papers with number 96-10.

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Length: 27 pages
Date of creation: 1996
Date of revision:
Handle: RePEc:bca:bocawp:96-10
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  1. Evans, Martin D. D. & Lewis, Karen K., 1993. "Trends in excess returns in currency and bond markets," European Economic Review, Elsevier, vol. 37(5), pages 1005-1019, June.
  2. 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.
  3. Martin D.D. Evans & Karen K. Lewis, 1993. "Do Long-Term Swings in the Dollar Affect Estimates of the Risk Premia?," Working Papers 93-12, New York University, Leonard N. Stern School of Business, Department of Economics.
  4. 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.
  5. Campbell, J.Y. & Perron, P., 1991. "Pitfalls and Opportunities: What Macroeconomics should know about unit roots," Papers 360, Princeton, Department of Economics - Econometric Research Program.
  6. 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.
  7. 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 313-28, August.
  8. Scott Hendry, 1995. "Long-Run Demand for M1," Macroeconomics 9511001, EconWPA.
  9. Gregory, Allan W, 1994. "Testing for Cointegration in Linear Quadratic Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 347-60, July.
  10. Marie-Josée Godbout & Simon van Norden, 1997. "Reconsidering Cointegration in International Finance: Three Case Studies of Size Distortion in Finite Samples," Working Papers 97-1, Bank of Canada.
  11. repec:cup:etheor:v:11:y:1995:i:5:p:1015-32 is not listed on IDEAS
  12. Gonzalo, Jesus & Lee, Tae-Hwy, 1998. "Pitfalls in testing for long run relationships," Journal of Econometrics, Elsevier, vol. 86(1), pages 129-154, June.
  13. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March.
  14. Baillie, R.T. & Bollerslev, T., 1993. "The Long Memory of the Foreward Premium," Papers 9203, Michigan State - Econometrics and Economic Theory.
  15. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 33(1), pages 125-132.
  16. 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 461-72, August.
  17. 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.
  18. 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.
  19. Toda, Hiro Y., 1995. "Finite Sample Performance of Likelihood Ratio Tests for Cointegrating Ranks in Vector Autoregressions," Econometric Theory, Cambridge University Press, vol. 11(05), pages 1015-1032, October.
  20. GONZALO, Jesus & PITARAKIS, Jean-Yves, 1994. "Comovements in Large Systems," CORE Discussion Papers 1994065, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  21. 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.
  22. 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.
  23. James H. Stock & Mark W. Watson, 1991. "A simple estimator of cointegrating vectors in higher order integrated systems," Working Paper Series, Macroeconomic Issues 91-3, Federal Reserve Bank of Chicago.
  24. 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.
  25. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
  26. Gonzalo, Jesus, 1994. "Five alternative methods of estimating long-run equilibrium relationships," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 203-233.
  27. 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(01), pages 23-42, March.
  28. 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 167-81, March.
  29. 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.
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