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Detecting cointegration relationships under nonlinear models: Monte Carlo analysis and some applications

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  • Daiki Maki

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    Abstract

    Testing for cointegration in the presence of nonlinear adjustments or structural breaks is important for examining the equilibrium relationship among economic variables. It is known that standard cointegration tests perform poorly when a cointegration relationship has nonlinear adjustments or structural breaks. However, it is not clear how some cointegration tests allowing for nonlinearity perform under other classes of nonlinear cointegration models. This paper investigates which cointegration tests help detect a cointegration relationship with nonlinear adjustments or structural breaks. Our Monte Carlo simulation results demonstrate that the cointegration test with threshold adjustment generally has better power performance under most cointegration relationships with nonlinearity. We also provide empirical applications to the money demand and term structure of the U.S. interest rates. The empirical results show that the test allowing for threshold adjustment provides strong evidence of the cointegration relationships of money demand and the term structure of interest rates. Copyright Springer-Verlag 2013

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    File URL: http://hdl.handle.net/10.1007/s00181-012-0605-1
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    Bibliographic Info

    Article provided by Springer in its journal Empirical Economics.

    Volume (Year): 45 (2013)
    Issue (Month): 1 (August)
    Pages: 605-625

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    Handle: RePEc:spr:empeco:v:45:y:2013:i:1:p:605-625

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    Related research

    Keywords: Cointegration; Nonlinear adjustments; Structural breaks; Power; C12; C22;

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    1. Luis A. Gil-Alana, 2003. "Testing of Fractional Cointegration in Macroeconomic Time Series," Faculty Working Papers 09/03, School of Economics and Business Administration, University of Navarra.
    2. Lütkepohl, Helmut & Saikkonen, Pentti & Trenkler, Carsten, 2001. "Testing for the cointegrating rank of a VAR process with level shift at unknown time," SFB 373 Discussion Papers 2001,63, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    3. Hansen, Peter Reinhard, 2003. "Structural changes in the cointegrated vector autoregressive model," Journal of Econometrics, Elsevier, vol. 114(2), pages 261-295, June.
    4. Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-45, August.
    5. Daiki Maki & Shin-ichi Kitasaka, 2006. "The equilibrium relationship among money, income, prices, and interest rates: evidence from a threshold cointegration test," Applied Economics, Taylor & Francis Journals, vol. 38(13), pages 1585-1592.
    6. Gabriel, Vasco J. & Psaradakis, Zacharias & Sola, Martin, 2002. "A simple method of testing for cointegration subject to multiple regime changes," Economics Letters, Elsevier, vol. 76(2), pages 213-221, July.
    7. Frédérique Bec & Anders Rahbek & Neil Shephard, 2008. "The ACR model: a multivariate dynamic mixture autoregression," THEMA Working Papers 2008-11, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    8. Hristova Daniela, 2005. "Maximum Likelihood Estimation of a Unit Root Bilinear Model with an Application to Prices," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(1), pages 1-15, March.
    9. In Choi & Pentti Saikkonen, 2004. "Testing linearity in cointegrating smooth transition regressions," Econometrics Journal, Royal Economic Society, vol. 7(2), pages 341-365, December.
    10. Seo, Myunghwan, 2006. "Bootstrap testing for the null of no cointegration in a threshold vector error correction model," Journal of Econometrics, Elsevier, vol. 134(1), pages 129-150, September.
    11. Maki, Daiki, 2010. "An alternative procedure to test for cointegration in STAR models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(5), pages 999-1006.
    12. Inoue, Atsushi, 1999. "Tests of cointegrating rank with a trend-break," Journal of Econometrics, Elsevier, vol. 90(2), pages 215-237, June.
    13. Daiki Maki, 2006. "Non-linear adjustment in the term structure of interest rates: a cointegration analysis in the non-linear STAR framework," Applied Financial Economics, Taylor & Francis Journals, vol. 16(17), pages 1301-1307.
    14. Enders, Walter & Siklos, Pierre L, 2001. "Cointegration and Threshold Adjustment," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(2), pages 166-76, April.
    15. Hall, Stephen G & Psaradakis, Zacharias & Sola, Martin, 1997. "Cointegration and Changes in Regime: The Japanese Consumption Function," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(2), pages 151-68, March-Apr.
    16. 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.
    17. Sarno, Lucio & Taylor, Mark P & Peel, David A, 2003. " Nonlinear Equilibrium Correction in U.S. Real Money Balances, 1869-1997," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(5), pages 787-99, October.
    18. Abdulnasser Hatemi-J, 2008. "Tests for cointegration with two unknown regime shifts with an application to financial market integration," Empirical Economics, Springer, vol. 35(3), pages 497-505, November.
    19. Javier Hualde & Peter M Robinson, 2003. "Cointegration in Fractional Systems with Unkown Integration Orders," STICERD - Econometrics Paper Series /2003/449, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    20. David G. McMillan, 2009. "Non-linear interest rate dynamics and forecasting: evidence for US and Australian interest rates," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 14(2), pages 139-155.
    21. Lee, Chien-Chiang & Chen, Pei-Fen & Chang, Chun-Ping, 2007. "Testing linearity in a cointegrating STR model for the money demand function: International evidence from G-7 countries," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(4), pages 293-302.
    22. Clements, Michael P. & Galv O, Ana Beatriz C., 2003. "Testing The Expectations Theory Of The Term Structure Of Interest Rates In Threshold Models," Macroeconomic Dynamics, Cambridge University Press, vol. 7(04), pages 567-585, September.
    23. Allan w. Gregory & Bruce E. Hansen, 1992. "residual-Based Tests for Cointegration in Models with Regime Shifts," Working Papers 862, Queen's University, Department of Economics.
    24. Chi-Young Choi & Young-Kyu Moh, 2007. "How useful are tests for unit-root in distinguishing unit-root processes from stationary but non-linear processes?," Econometrics Journal, Royal Economic Society, vol. 10(1), pages 82-112, 03.
    25. Zacharias Psaradakis & Martin Sola & Fabio Spagnolo, 2004. "On Markov error-correction models, with an application to stock prices and dividends," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(1), pages 69-88.
    26. Sarno, Lucio, 1999. "Adjustment Costs and Nonlinear Dynamics in the Demand for Money: Italy, 1861-1991," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 4(2), pages 155-77, April.
    27. Saikkonen, Pentti & Lutkepohl, Helmut, 2000. "Testing for the Cointegrating Rank of a VAR Process with Structural Shifts," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(4), pages 451-64, October.
    28. Hansen, Bruce E. & Seo, Byeongseon, 2002. "Testing for two-regime threshold cointegration in vector error-correction models," Journal of Econometrics, Elsevier, vol. 110(2), pages 293-318, October.
    29. Johansen, SØren, 2008. "A Representation Theory For A Class Of Vector Autoregressive Models For Fractional Processes," Econometric Theory, Cambridge University Press, vol. 24(03), pages 651-676, June.
    30. Sandrine Lardic & Valérie Mignon, 2004. "Fractional cointegration and the term structure," Empirical Economics, Springer, vol. 29(4), pages 723-736, December.
    31. Cheung, Yin-Wong & Lai, Kon S, 1993. "A Fractional Cointegration Analysis of Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 103-12, January.
    32. Peel, David & Davidson, James, 1998. "A non-linear error correction mechanism based on the bilinear model1," Economics Letters, Elsevier, vol. 58(2), pages 165-170, February.
    33. Lo, Ming Chien & Zivot, Eric, 2001. "Threshold Cointegration And Nonlinear Adjustment To The Law Of One Price," Macroeconomic Dynamics, Cambridge University Press, vol. 5(04), pages 533-576, September.
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