IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-08c20060.html
   My bibliography  Save this article

Testing for a unit root against ESTAR nonlinearity with a delay parameter greater than one

Author

Listed:
  • Stephen Norman

    (University of Washington, Tacoma)

Abstract

In this paper, the tests of Kapetanios, Shin, and Snell (2003) and Bec, Ben Salem, and Carrasco (2004), which are designed to detect nonstationarity verses globally stationary exponential smooth transition autoregressive (ESTAR) nonlinearity, are extended to allow for a delay parameter, d, that is greater than one. Based on Monte Carlo simulations, it is shown that when the true delay parameter is greater than one, using the test with the correct value of d improves power almost uniformly compared to constraining the delay parameter to be unity. Using the tests when the delay parameter is not known and must be estimated is also addressed.

Suggested Citation

  • Stephen Norman, 2009. "Testing for a unit root against ESTAR nonlinearity with a delay parameter greater than one," Economics Bulletin, AccessEcon, vol. 29(3), pages 2152-2173.
    • Handle: RePEc:ebl:ecbull:eb-08c20060
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2009/Volume29/EB-09-V29-I3-P64.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Taylor, Nick & Dijk, Dick van & Franses, Philip Hans & Lucas, Andre, 2000. "SETS, arbitrage activity, and stock price dynamics," Journal of Banking & Finance, Elsevier, vol. 24(8), pages 1289-1306, August.
    2. 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 627-645, August.
    3. Eitrheim, Oyvind & Terasvirta, Timo, 1996. "Testing the adequacy of smooth transition autoregressive models," Journal of Econometrics, Elsevier, vol. 74(1), pages 59-75, September.
    4. Frédérique Bec & Mélika Ben Salem & Marine Carrasco, 2010. "Detecting Mean Reversion in Real Exchange Rates from a Multiple Regime star Model," Annals of Economics and Statistics, GENES, issue 99-100, pages 395-427.
    5. Baum, Christopher F. & Barkoulas, John T. & Caglayan, Mustafa, 2001. "Nonlinear adjustment to purchasing power parity in the post-Bretton Woods era," Journal of International Money and Finance, Elsevier, vol. 20(3), pages 379-399, June.
    6. Park, Joon Y & Phillips, Peter C B, 2001. "Nonlinear Regressions with Integrated Time Series," Econometrica, Econometric Society, vol. 69(1), pages 117-161, January.
    7. Sarno, Lucio & Taylor, Mark P. & Chowdhury, Ibrahim, 2004. "Nonlinear dynamics in deviations from the law of one price: a broad-based empirical study," Journal of International Money and Finance, Elsevier, vol. 23(1), pages 1-25, February.
    8. Taylor, Mark P. & Peel, David A., 2000. "Nonlinear adjustment, long-run equilibrium and exchange rate fundamentals," Journal of International Money and Finance, Elsevier, vol. 19(1), pages 33-53, February.
    9. George Kapetanios & Yongcheol Shin & Andy Snell, 2000. "Testing for a Unit Root against Nonlinear STAR Models," Edinburgh School of Economics Discussion Paper Series 69, Edinburgh School of Economics, University of Edinburgh.
    10. Kapetanios, George & Shin, Yongcheol & Snell, Andy, 2003. "Testing for a unit root in the nonlinear STAR framework," Journal of Econometrics, Elsevier, vol. 112(2), pages 359-379, February.
    11. Taylor, Mark P & Peel, David A & Sarno, Lucio, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Toward a Solution to the Purchasing Power Parity Puzzles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1015-1042, November.
    12. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-879, August.
    13. Sarantis, Nicholas, 1999. "Modeling non-linearities in real effective exchange rates," Journal of International Money and Finance, Elsevier, vol. 18(1), pages 27-45, January.
    14. Hansen Bruce E., 1997. "Inference in TAR Models," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 2(1), pages 1-16, April.
    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. Harvey David I. & Leybourne Stephen J. & Whitehouse Emily J., 2018. "Testing for a unit root against ESTAR stationarity," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 22(1), pages 1-29, February.
    2. Cho, Dooyeon & Doblas-Madrid, Antonio, 2014. "Trade intensity and purchasing power parity," Journal of International Economics, Elsevier, vol. 93(1), pages 194-209.

    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. Georgios Chortareas & George Kapetanios, 2004. "The Yen Real Exchange Rate may be Stationary after all: Evidence from Non‐linear Unit‐root Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 66(1), pages 113-131, February.
    2. Joon Y. Park & Mototsugu Shintani, 2005. "Testing for a Unit Root against Transitional Autoregressive Models," Vanderbilt University Department of Economics Working Papers 05010, Vanderbilt University Department of Economics.
    3. Miguel Carvalho & Paulo Júlio, 2012. "Digging out the PPP hypothesis: an integrated empirical coverage," Empirical Economics, Springer, vol. 42(3), pages 713-744, June.
    4. Hyginus Leon & Serineh Najarian, 2005. "Asymmetric adjustment and nonlinear dynamics in real exchange rates," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 10(1), pages 15-39.
    5. Norman, Stephen, 2010. "How well does nonlinear mean reversion solve the PPP puzzle?," Journal of International Money and Finance, Elsevier, vol. 29(5), pages 919-937, September.
    6. Venus Khim-Sen Liew & Hock-Ann Lee & Kian-Ping Lim & Huay-Huay Lee, 2008. "Linearity and Stationarity of South Asian Real Exchange Rates," The IUP Journal of Applied Economics, IUP Publications, vol. 0(5), pages 48-58, September.
    7. Rapach, David E. & Wohar, Mark E., 2006. "The out-of-sample forecasting performance of nonlinear models of real exchange rate behavior," International Journal of Forecasting, Elsevier, vol. 22(2), pages 341-361.
    8. Baharumshah, Ahmad Zubaidi & Liew, Venus Khim-Sen & Chowdhury, Ibrahim, 2010. "Asymmetry dynamics in real exchange rates: New results on East Asian currencies," International Review of Economics & Finance, Elsevier, vol. 19(4), pages 648-661, October.
    9. James R. Lothian & Mark P. Taylor, 2008. "Real Exchange Rates Over the Past Two Centuries: How Important is the Harrod‐Balassa‐Samuelson Effect?," Economic Journal, Royal Economic Society, vol. 118(532), pages 1742-1763, October.
    10. Wu, Jyh-Lin & Chen, Pei-Fen, 2008. "A revisit on dissecting the PPP puzzle: Evidence from a nonlinear approach," Economic Modelling, Elsevier, vol. 25(4), pages 684-695, July.
    11. Xie, Zixiong & Chen, Shyh-Wei & Hsieh, Chun-Kuei, 2021. "Facing up to the polysemy of purchasing power parity: New international evidence," Economic Modelling, Elsevier, vol. 98(C), pages 247-265.
    12. Carlo Altavilla & Paul De Grauwe, 2010. "Non-linearities in the relation between the exchange rate and its fundamentals," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 15(1), pages 1-21.
    13. Ivan Paya & David A. Peel, 2006. "Temporal aggregation of an ESTAR process: some implications for purchasing power parity adjustment," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(5), pages 655-668, July.
    14. Sekioua, Sofiane H., 2006. "Nonlinear adjustment in the forward premium: evidence from a threshold unit root test," International Review of Economics & Finance, Elsevier, vol. 15(2), pages 164-183.
    15. Yunus Aksoy & Kurmas Akdogan, 2006. "Exchange Rates and Fundamentals: Is there a Role for Nonlinearities in Real Time?," Computing in Economics and Finance 2006 12, Society for Computational Economics.
    16. Ivan Paya & David Peel, 2005. "The process followed by PPP data. On the properties of linearity tests," Applied Economics, Taylor & Francis Journals, vol. 37(21), pages 2515-2522.
    17. Mario Cerrato & Hyunsok Kim & Ronald MacDonald, 2008. "3-Regime symmetric STAR modeling and exchange rate reversion," Working Papers 2009_05, Business School - Economics, University of Glasgow, revised Feb 2009.
    18. repec:ebl:ecbull:v:6:y:2006:i:17:p:1-15 is not listed on IDEAS
    19. Daniel Buncic, 2019. "Identification and Estimation Issues in Exponential Smooth Transition Autoregressive Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 81(3), pages 667-685, June.
    20. Juan Carlos Cuestas, 2009. "Purchasing power parity in Central and Eastern European countries: an analysis of unit roots and nonlinearities," Applied Economics Letters, Taylor & Francis Journals, vol. 16(1), pages 87-94.
    21. Frédérique Bec & Mélika Ben Salem & Marine Carrasco, 2010. "Detecting Mean Reversion in Real Exchange Rates from a Multiple Regime star Model," Annals of Economics and Statistics, GENES, issue 99-100, pages 395-427.

    More about this item

    Keywords

    Exponential smooth transition model; Unit roots; Monte Carlo simulations;
    All these keywords.

    JEL classification:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables

    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:ebl:ecbull:eb-08c20060. 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: John P. Conley (email available below). General contact details of provider: .

    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.