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Testing For Unit Roots Using Economics

Author

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  • ROMULO CHUMACERO

Abstract

This paper considers the economic implications of having unit roots in stochastic processes of variables like consumption or GDP. Using a variety of models, we develop indirect tests for unit roots based on sharp distinctions that should arise when the scale variable is either difference stationary or trend stationary. These tests are seen to avoid the undesirable size-power trade-off that characterizes traditional UR tests. They are applied to a wide variety of countries.

Suggested Citation

  • Romulo Chumacero, 2001. "Testing For Unit Roots Using Economics," Computing in Economics and Finance 2001 2, Society for Computational Economics.
  • Handle: RePEc:sce:scecf1:2
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    References listed on IDEAS

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    1. Peter C.B. Phillips & Pierre Perron, 1986. "Testing for a Unit Root in Time Series Regression," Cowles Foundation Discussion Papers 795R, Cowles Foundation for Research in Economics, Yale University, revised Sep 1987.
    2. John Y. Campbell, 1986. "Bond and Stock Returns in a Simple Exchange Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 785-803.
    3. repec:bla:jfinan:v:43:y:1988:i:5:p:1095-1112 is not listed on IDEAS
    4. Murray, Christian J. & Nelson, Charles R., 2000. "The uncertain trend in U.S. GDP," Journal of Monetary Economics, Elsevier, vol. 46(1), pages 79-95, August.
    5. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    6. Burnside, Craig, 1998. "Solving asset pricing models with Gaussian shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 329-340, March.
    7. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    8. Rothman, Philip, 1997. "More Uncertainty about the Unit Root in U.S. Real GNP," Journal of Macroeconomics, Elsevier, vol. 19(4), pages 771-780, October.
    9. Bierens, Herman J., 1997. "Testing the unit root with drift hypothesis against nonlinear trend stationarity, with an application to the US price level and interest rate," Journal of Econometrics, Elsevier, vol. 81(1), pages 29-64, November.
    10. Zivot, Eric & Andrews, Donald W K, 2002. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
    11. Christiano, Lawrence J. & Eichenbaum, Martin, 1990. "Unit roots in real GNP: Do we know, and do we care?," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 32(1), pages 7-61, January.
    12. Paul Lau, Sau-Him, 1999. "I(0) In, integration and cointegration out:: Time series properties of endogenous growth models," Journal of Econometrics, Elsevier, vol. 93(1), pages 1-24, November.
    13. Perron, P, 1993. "Erratum [The Great Crash, the Oil Price Shock and the Unit Root Hypothesis]," Econometrica, Econometric Society, vol. 61(1), pages 248-249, January.
    14. Lau, Sau-Him Paul, 1997. "Using stochastic growth models to understand unit roots and breaking trends," Journal of Economic Dynamics and Control, Elsevier, vol. 21(10), pages 1645-1667, August.
    15. 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.
    16. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
    17. Meltzer, Allan H., 1990. "Unit roots, investment measures and other essays," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 32(1), pages 1-6, January.
    18. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-220, April.
    19. Chang-Jin Kim & Charles R. Nelson, 1999. "State-Space Models with Regime Switching: Classical and Gibbs-Sampling Approaches with Applications," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262112388, December.
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    Cited by:

    1. Rómulo A. Chumacero, 2005. "A Toolkit for Analyzing Alternative Policies in the Chilean Economy," Central Banking, Analysis, and Economic Policies Book Series, in: Rómulo A. Chumacero & Klaus Schmidt-Hebbel & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (S (ed.),General Equilibrium Models for the Chilean Economy, edition 1, volume 9, chapter 8, pages 261-302, Central Bank of Chile.
    2. Alberto Humala, 2005. "Interest rate pass-through and financial crises: do switching regimes matter? the case of Argentina," Applied Financial Economics, Taylor & Francis Journals, vol. 15(2), pages 77-94.
    3. Raimundo Soto M. & Matías Tapia G., 2000. "Seasonal Cointegration in Money Demand," Journal Economía Chilena (The Chilean Economy), Central Bank of Chile, vol. 3(3), pages 57-71, December.
    4. Rómulo Chumacero Escudero, 2000. "Se busca una raíz unitaria: evidencia para Chile," Estudios de Economia, University of Chile, Department of Economics, vol. 27(1 Year 20), pages 55-68, June.
    5. Solange Berstein & J. Rodrigo Fuentes, 2004. "Is There Lendign Rate Stickiness in the Chilean Banking Industry?," Central Banking, Analysis, and Economic Policies Book Series, in: Luis Antonio Ahumada & J. Rodrigo Fuentes & Norman Loayza (Series Editor) & Klaus Schmidt-Hebbel (Se (ed.),Banking Market Structure and Monetary Policy, edition 1, volume 7, chapter 6, pages 183-210, Central Bank of Chile.

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    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects

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