IDEAS home Printed from https://ideas.repec.org/a/bpj/sndecm/v6y2002i1n4.html
   My bibliography  Save this article

Nonlinear Trends and Co-trending in Canadian Money Demand

Author

Listed:
  • Cushman David O.

    (Department of Economics, University of Saskatchewan)

Abstract

Several authors have suggested that, instead of being unit root processes, some macro variables may actually be stationary around nonlinear deterministic trends (Perron, 1989, 1990, Bierens, 1997). This paper investigates this for four variables in a standard money demand specification, using Canadian data. Evidence is first presented that the null of unit root with drift (constant, linear, or nonlinear) can be rejected in favor of nonlinear trend stationarity for the variables. Then, Bierens' (2000) nonlinear co-trending test finds two common nonlinear trends among the variables. The trends are consistent with a standard money demand relationship. All unit root and co-trending test conclusions are based on size and power results from Monte Carlo simulations as well as on asymptotic critical values. The paper concludes with a discussion of how the observed nonlinear trending and co-trending might arise in a theoretical model, and with implications for further empirical tests.

Suggested Citation

  • Cushman David O., 2002. "Nonlinear Trends and Co-trending in Canadian Money Demand," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 6(1), pages 1-29, April.
    • Handle: RePEc:bpj:sndecm:v:6:y:2002:i:1:n:4
    DOI: 10.2202/1558-3708.1003
    as

    Download full text from publisher

    File URL: https://doi.org/10.2202/1558-3708.1003
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.2202/1558-3708.1003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    2. Perron, Pierre & Vogelsang, Timothy J, 1992. "Testing for a Unit Root in a Time Series with a Changing Mean: Corrections and Extensions," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(4), pages 467-470, October.
    3. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    4. Hoffman, Dennis L. & Rasche, Robert H. & Tieslau, Margie A., 1995. "The stability of long-run money demand in five industrial countries," Journal of Monetary Economics, Elsevier, vol. 35(2), pages 317-339, April.
    5. 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.
    6. 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.
    7. 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.
    8. King, Robert G. & Plosser, Charles I. & Stock, James H. & Watson, Mark W., 1991. "Stochastic Trends and Economic Fluctuations," American Economic Review, American Economic Association, vol. 81(4), pages 819-840, September.
    9. Haug, Alfred A & Lucas, Robert F, 1996. "Long-Run Money Demand in Canada: In Search of Stability," The Review of Economics and Statistics, MIT Press, vol. 78(2), pages 345-348, May.
    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. David O. Cushman, 2008. "Real exchange rates may have nonlinear trends," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 13(2), pages 158-173.
    2. Basse, Tobias & Wegener, Christoph, 2022. "Inflation expectations: Australian consumer survey data versus the bond market," Journal of Economic Behavior & Organization, Elsevier, vol. 203(C), pages 416-430.
    3. Roberto Ricciuti, 2008. "The quest for a fiscal rule: Italy, 1861–1998," Cliometrica, Journal of Historical Economics and Econometric History, Association Française de Cliométrie (AFC), vol. 2(3), pages 259-274, October.
    4. Jorge Belaire-Franch & Kwaku Opong, 2013. "A Time Series Analysis of U.K. Construction and Real Estate Indices," The Journal of Real Estate Finance and Economics, Springer, vol. 46(3), pages 516-542, April.
    5. Roberto Ricciuti, 2004. "Nonlinearity in testing for fiscal sustainability," Money Macro and Finance (MMF) Research Group Conference 2003 80, Money Macro and Finance Research Group.
    6. Cushman, David O. & Michael, Nils, 2011. "Nonlinear trends in real exchange rates: A panel unit root test approach," Journal of International Money and Finance, Elsevier, vol. 30(8), pages 1619-1637.

    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. Dennis L. Hoffman & Robert H. Rasche, 1997. "STLS/US-VECM6.1: a vector error-correction forecasting model of the U. S. economy," Working Papers 1997-008, Federal Reserve Bank of St. Louis.
    2. Martin B. Schmidt, 2021. "On the evolution of athlete anthropometric measurements: racial integration, expansion, and steroids," Empirical Economics, Springer, vol. 61(6), pages 3419-3443, December.
    3. Roberto Martínez-Espiñeira, 2007. "An estimation of residential water demand using co-integration and error correction tec hniques," Journal of Applied Economics, Universidad del CEMA, vol. 10, pages 161-184, May.
    4. Sandberg, Rickard, 2016. "Trends, unit roots, structural changes, and time-varying asymmetries in U.S. macroeconomic data: the Stock and Watson data re-examined," Economic Modelling, Elsevier, vol. 52(PB), pages 699-713.
    5. Rosas Chimal, Mario Alberto & Flores Ortega, Miguel, 2017. "Calificación riesgo país y flujos de capital en México: 1998-2012/Country risk rating and capital flows in Mexico: 1998-2012," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 35, pages 191-216, Enero.
    6. Cosimo Magazzino, 2015. "Energy consumption and GDP in Italy: cointegration and causality analysis," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 17(1), pages 137-153, February.
    7. Juan Cuestas & Dean Garratt, 2011. "Is real GDP per capita a stationary process? Smooth transitions, nonlinear trends and unit root testing," Empirical Economics, Springer, vol. 41(3), pages 555-563, December.
    8. Omay, Tolga & Shahbaz, Muhammad & Stewart, Chris, 2021. "Is There Really Hysteresis in OECD Countries’ Unemployment Rates? New Evidence Using a Fourier Panel Unit Root Test," MPRA Paper 107691, University Library of Munich, Germany, revised 10 May 2021.
    9. Martin Schmidt, 2006. "On the evolution of competition: an application of nonlinear tests," Applied Economics, Taylor & Francis Journals, vol. 38(1), pages 1-12.
    10. Henry, Olan T. & Shields, Kalvinder, 2004. "Is there a unit root in inflation?," Journal of Macroeconomics, Elsevier, vol. 26(3), pages 481-500, September.
    11. Magazzino, Cosimo, 2012. "Wagner versus Keynes: Public spending and national income in Italy," Journal of Policy Modeling, Elsevier, vol. 34(6), pages 890-905.
    12. Matteo Mogliani, 2010. "Residual-based tests for cointegration and multiple deterministic structural breaks: A Monte Carlo study," Working Papers halshs-00564897, HAL.
    13. Cem Ertur & Antonio Musolesi, 2017. "Weak and Strong Cross‐Sectional Dependence: A Panel Data Analysis of International Technology Diffusion," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(3), pages 477-503, April.
    14. Derek Bond & Michael J. Harrison & Edward J. O'Brien, 2005. "Testing for Long Memory and Nonlinear Time Series: A Demand for Money Study," Trinity Economics Papers tep20021, Trinity College Dublin, Department of Economics.
    15. Perles-Ribes, José Francisco & Ramón-Rodríguez, Ana Belén & Rubia, Antonio & Moreno-Izquierdo, Luis, 2017. "Is the tourism-led growth hypothesis valid after the global economic and financial crisis? The case of Spain 1957–2014," Tourism Management, Elsevier, vol. 61(C), pages 96-109.
    16. Dakpogan, Arnaud & Smit, Eon, 2018. "The effect of electricity losses on GDP in Benin," MPRA Paper 89545, University Library of Munich, Germany.
    17. repec:ebl:ecbull:v:3:y:2004:i:24:p:1-11 is not listed on IDEAS
    18. Senay ACIKGOZ & Anil AKCAGLAYAN, 2014. "Turkiye’de Cari Islemler Aciginin Surdurulebilirligi," Ege Academic Review, Ege University Faculty of Economics and Administrative Sciences, vol. 14(1), pages 83-97.
    19. Tsangyao Chang & Tsung-Pao Wu & Rangan Gupta, 2015. "Are house prices in South Africa really nonstationary? Evidence from SPSM-based panel KSS test with a Fourier function," Applied Economics, Taylor & Francis Journals, vol. 47(1), pages 32-53, January.
    20. Barros, Geraldo Sant’Ana de Camargo & Carrara, Aniela Fagundes & Castro, Nicole Rennó & Silva, Adriana Ferreira, 2022. "Agriculture and inflation: Expected and unexpected shocks," The Quarterly Review of Economics and Finance, Elsevier, vol. 83(C), pages 178-188.
    21. Anderson, Richard G. & Hoffman, Dennis L. & Rasche, Robert H., 2002. "A vector error-correction forecasting model of the US economy," Journal of Macroeconomics, Elsevier, vol. 24(4), pages 569-598, December.

    More about this item

    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:bpj:sndecm:v:6:y:2002:i:1:n:4. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyterbrill.com .

    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.