IDEAS home Printed from https://ideas.repec.org/a/eee/ecmode/v33y2013icp101-112.html
   My bibliography  Save this article

Covariate unit root tests under structural change and asymmetric STAR dynamics

Author

Listed:
  • Tsong, Ching-Chuan
  • Wu, Chien-Wei
  • Chiu, Hsien-Hung
  • Lee, Cheng-Feng

Abstract

In this paper, we intend to develop a new unit root testing procedure. The novelty of this methodology includes (1) accommodating possible trend breaks of unknown number, unknown dates, and unknown form by employing the Fourier form without directly estimating such breaks; (2) considering possible asymmetric STAR adjustments under the alterative; and (3) utilizing related covariates to boost the testing power. The limiting distribution of the test is derived, and the asymptotic critical values are tabulated. Simulation experiments show that the test can deliver robust size for various breaks commonly seen in economic analysis and enjoy high power property, even in small sample sizes encountered in empirical studies. The usefulness of the test is illustrated in an empirical study on the issue of debt sustainability in 18 OECD countries.

Suggested Citation

  • Tsong, Ching-Chuan & Wu, Chien-Wei & Chiu, Hsien-Hung & Lee, Cheng-Feng, 2013. "Covariate unit root tests under structural change and asymmetric STAR dynamics," Economic Modelling, Elsevier, vol. 33(C), pages 101-112.
    • Handle: RePEc:eee:ecmode:v:33:y:2013:i:c:p:101-112
    DOI: 10.1016/j.econmod.2013.03.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S026499931300120X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econmod.2013.03.016?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 search for a different version of it.

    References listed on IDEAS

    as
    1. John Considine & Liam A. Gallagher, 2008. "Uk Debt Sustainability: Some Nonlinear Evidence And Theoretical Implications," Manchester School, University of Manchester, vol. 76(3), pages 320-335, June.
    2. Carrion-i-Silvestre, Josep Lluís & Kim, Dukpa & Perron, Pierre, 2009. "Gls-Based Unit Root Tests With Multiple Structural Breaks Under Both The Null And The Alternative Hypotheses," Econometric Theory, Cambridge University Press, vol. 25(6), pages 1754-1792, December.
    3. Philip Arestis & Andrea Cipollini & Bassam Fattouh, 2004. "Threshold Effects in the U.S. Budget Deficit," Economic Inquiry, Western Economic Association International, vol. 42(2), pages 214-222, April.
    4. Andrea Cipollini, 2001. "Testing For Government Intertemporal Solvency: A Smooth Transition Error Correction Model Approach," Manchester School, University of Manchester, vol. 69(6), pages 643-655, December.
    5. Henning Bohn, 1998. "The Behavior of U. S. Public Debt and Deficits," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(3), pages 949-963.
    6. Bajo-Rubio, Oscar & Diaz-Roldan, Carmen & Esteve, Vicente, 2006. "Is the budget deficit sustainable when fiscal policy is non-linear? The case of Spain," Journal of Macroeconomics, Elsevier, vol. 28(3), pages 596-608, September.
    7. Gallant, A. Ronald & Souza, Geraldo, 1991. "On the asymptotic normality of Fourier flexible form estimates," Journal of Econometrics, Elsevier, vol. 50(3), pages 329-353, December.
    8. Sollis, Robert, 2009. "A simple unit root test against asymmetric STAR nonlinearity with an application to real exchange rates in Nordic countries," Economic Modelling, Elsevier, vol. 26(1), pages 118-125, January.
    9. 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.
    10. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    11. António Afonso, 2005. "Fiscal Sustainability: The Unpleasant European Case," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 61(1), pages 19-44, March.
    12. Wilcox, David W, 1989. "The Sustainability of Government Deficits: Implications of the Present-Value Borrowing Constraint," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 21(3), pages 291-306, August.
    13. Bravo, Ana Bela Santos & Silvestre, Antonio Luis, 2002. "Intertemporal sustainability of fiscal policies: some tests for European countries," European Journal of Political Economy, Elsevier, vol. 18(3), pages 517-528, September.
    14. Elliott, Graham & Jansson, Michael, 2003. "Testing for unit roots with stationary covariates," Journal of Econometrics, Elsevier, vol. 115(1), pages 75-89, July.
    15. 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.
    16. Christopoulos, Dimitris K. & León-Ledesma, Miguel A., 2010. "Smooth breaks and non-linear mean reversion: Post-Bretton Woods real exchange rates," Journal of International Money and Finance, Elsevier, vol. 29(6), pages 1076-1093, October.
    17. 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.
    18. Cunado, J. & Gil-Alana, L. A. & Perez de Gracia, F., 2004. "Is the US fiscal deficit sustainable?: A fractionally integrated approach," Journal of Economics and Business, Elsevier, vol. 56(6), pages 501-526.
    19. Gael M. Martin, 2000. "US deficit sustainability: a new approach based on multiple endogenous breaks," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(1), pages 83-105.
    20. Bajo-Rubio, Oscar & Diaz-Roldan, Carmen & Esteve, Vicente, 2004. "Searching for threshold effects in the evolution of budget deficits: an application to the Spanish case," Economics Letters, Elsevier, vol. 82(2), pages 239-243, February.
    21. Sarno, Lucio, 2001. "The behavior of US public debt: a nonlinear perspective," Economics Letters, Elsevier, vol. 74(1), pages 119-125, December.
    22. Paulo M. M. Rodrigues & A. M. Robert Taylor, 2012. "The Flexible Fourier Form and Local Generalised Least Squares De-trended Unit Root Tests-super-," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(5), pages 736-759, October.
    23. Kremers, Jeroen J. M., 1989. "U.S. Federal indebtedness and the conduct of fiscal policy," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 219-238, March.
    24. Walter Enders & Junsoo Lee, 2012. "A Unit Root Test Using a Fourier Series to Approximate Smooth Breaks," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(4), pages 574-599, August.
    25. Hansen, Bruce E., 1995. "Rethinking the Univariate Approach to Unit Root Testing: Using Covariates to Increase Power," Econometric Theory, Cambridge University Press, vol. 11(5), pages 1148-1171, October.
    26. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-430, March.
    27. Jomana Amara & David Papell, 2006. "Testing for Purchasing Power Parity using stationary covariates," Applied Financial Economics, Taylor & Francis Journals, vol. 16(1-2), pages 29-39.
    28. Jansson, Michael, 2004. "Stationarity Testing With Covariates," Econometric Theory, Cambridge University Press, vol. 20(1), pages 56-94, February.
    29. Hamilton, James D & Flavin, Marjorie A, 1986. "On the Limitations of Government Borrowing: A Framework for EmpiricalTesting," American Economic Review, American Economic Association, vol. 76(4), pages 808-819, September.
    30. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    31. Haug, Alfred A, 1991. "Cointegration and Government Borrowing Constraints: Evidence for the United States," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(1), pages 97-101, January.
    32. Giavazzi, Francesco & Jappelli, Tullio & Pagano, Marco, 2000. "Searching for non-linear effects of fiscal policy: Evidence from industrial and developing countries," European Economic Review, Elsevier, vol. 44(7), pages 1259-1289, June.
    33. Arghyrou, Michael G. & Luintel, Kul B., 2007. "Government solvency: Revisiting some EMU countries," Journal of Macroeconomics, Elsevier, vol. 29(2), pages 387-410, June.
    34. Mark Holmes & Jesús Otero & Theodore Panagiotidis, 2010. "Are EU budget deficits stationary?," Empirical Economics, Springer, vol. 38(3), pages 767-778, June.
    35. Ralf Becker & Walter Enders & Junsoo Lee, 2006. "A Stationarity Test in the Presence of an Unknown Number of Smooth Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(3), pages 381-409, May.
    36. Prodan, Ruxandra, 2008. "Potential Pitfalls in Determining Multiple Structural Changes With an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 50-65, January.
    37. Quintos, Carmela E, 1995. "Sustainability of the Deficit Process with Structural Shifts," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(4), pages 409-417, October.
    38. Cipollini, Andrea, 2001. "Testing for Government Intertemporal Solvency: A Smooth Transition Error Correction Model Approach," Manchester School, University of Manchester, vol. 69(6), pages 643-655, December.
    39. Cheng-Feng Lee & Ching-Chuan Tsong, 2013. "Bootstrapping Covariate Unit Root Tests: An Application To Inflation Rates," Bulletin of Economic Research, Wiley Blackwell, vol. 65, pages 165-174, May.
    40. Tanner, Evan & Liu, Peter, 1994. "Is the Budget Deficit "Too Large"?: Some Further Evidence," Economic Inquiry, Western Economic Association International, vol. 32(3), pages 511-518, July.
    41. D. A. Peel & A. E. H. Speight, 2000. "Threshold nonlinearities in unemployment rates: further evidence for the UK and G3 economies," Applied Economics, Taylor & Francis Journals, vol. 32(6), pages 705-715.
    42. Tsong, Ching-Chuan & Lee, Cheng-Feng, 2011. "Asymmetric inflation dynamics: Evidence from quantile regression analysis," Journal of Macroeconomics, Elsevier, vol. 33(4), pages 668-680.
    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. Ching-Chuan Tsong & Cheng-Feng Lee & Li-Ju Tsai & Te-Chung Hu, 2016. "The Fourier approximation and testing for the null of cointegration," Empirical Economics, Springer, vol. 51(3), pages 1085-1113, November.
    2. Chang, Ming-Jen & Su, Che-Yi, 2015. "Does real interest rate parity really hold? New evidence from G7 countries," Economic Modelling, Elsevier, vol. 47(C), pages 299-306.
    3. Tsong Ching-Chuan & Lee Cheng-Feng & Tsai Li Ju, 2019. "A parametric stationarity test with smooth breaks," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 23(2), pages 1-14, April.

    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. Chen, Shyh-Wei & Wu, An-Chi, 2018. "Is there a bubble component in government debt? New international evidence," International Review of Economics & Finance, Elsevier, vol. 58(C), pages 467-486.
    2. Juan Carlos Cuestas & Luis A. Gil-Alana & Laura Sauci, 2020. "Public finances in the EU-27: Are they sustainable?," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 47(1), pages 181-204, February.
    3. Ching-Chuan Tsong & Cheng-Feng Lee & Li-Ju Tsai & Te-Chung Hu, 2016. "The Fourier approximation and testing for the null of cointegration," Empirical Economics, Springer, vol. 51(3), pages 1085-1113, November.
    4. Chen, Shyh-Wei, 2014. "Testing for fiscal sustainability: New evidence from the G-7 and some European countries," Economic Modelling, Elsevier, vol. 37(C), pages 1-15.
    5. Paleologou, Suzanna-Maria, 2013. "Asymmetries in the revenue–expenditure nexus: A tale of three countries," Economic Modelling, Elsevier, vol. 30(C), pages 52-60.
    6. Magazzino, Cosimo & Brady, Gordon L. & Forte, Francesco, 2019. "A panel data analysis of the fiscal sustainability of G-7 countries," The Journal of Economic Asymmetries, Elsevier, vol. 20(C).
    7. Bajo-Rubio, Oscar & Diaz-Roldan, Carmen & Esteve, Vicente, 2006. "Is the budget deficit sustainable when fiscal policy is non-linear? The case of Spain," Journal of Macroeconomics, Elsevier, vol. 28(3), pages 596-608, September.
    8. Abderrahim Chibi & Sidi Mohamed Chekouri & Mohamed Benbouziane, 2019. "The dynamics of fiscal policy in Algeria: sustainability and structural change," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 8(1), pages 1-27, December.
    9. António Afonso & Christophe Rault, 2010. "What do we really know about fiscal sustainability in the EU? A panel data diagnostic," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 145(4), pages 731-755, January.
    10. Abderrahim Chibi & Sidi Mohamed Chekouri & Mohamed Benbouziane, 2015. "Assessing Fiscal Sustainability in Algeria: a Nonlinear Approach," Working Papers 962, Economic Research Forum, revised Oct 2015.
    11. María del Carmen Ramos-Herrera & Simón Sosvilla-Rivero, 2020. "Fiscal Sustainability in Aging Societies: Evidence from Euro Area Countries," Sustainability, MDPI, vol. 12(24), pages 1-20, December.
    12. Ahmad Zubaidi Baharumshah & Evan Lau, 2010. "Mean Reversion Of The Fiscal Conduct In 24 Developing Countries," Manchester School, University of Manchester, vol. 78(4), pages 302-325, July.
    13. Tilak Abeysinghe & Ananda Jayawickrama, 2013. "A segmented trend model to assess fiscal sustainability: The US experience 1929–2009," Empirical Economics, Springer, vol. 44(3), pages 1129-1141, June.
    14. António Afonso & João Tovar Jalles, 2012. "Revisiting fiscal sustainability: panel cointegration and structural breaks in OECD countries," Working Papers Department of Economics 2012/29, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    15. Baharumshah, Ahmad Zubaidi & Lau, Evan, 2007. "Regime changes and the sustainability of fiscal imbalance in East Asian countries," Economic Modelling, Elsevier, vol. 24(6), pages 878-894, November.
    16. Mark J. Holmes & Theodore Panagiotidis & Jesus Otero, 2008. "Are EU budgets stationary?," Discussion Paper Series 2008_07, Department of Economics, University of Macedonia, revised Sep 2008.
    17. António Afonso, 2005. "Fiscal Sustainability: The Unpleasant European Case," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 61(1), pages 19-44, March.
    18. Escario, Regina & Gadea, María Dolores & Sabaté, Marcela, 2012. "Multicointegration, seigniorage and fiscal sustainability. Spain 1857–2000," Journal of Policy Modeling, Elsevier, vol. 34(2), pages 270-283.
    19. Philip Arestis & Andrea Cipollini & Bassam Fattouh, 2004. "Threshold Effects in the U.S. Budget Deficit," Economic Inquiry, Western Economic Association International, vol. 42(2), pages 214-222, April.
    20. Mark Holmes & Jesús Otero & Theodore Panagiotidis, 2010. "Are EU budget deficits stationary?," Empirical Economics, Springer, vol. 38(3), pages 767-778, June.

    More about this item

    Keywords

    Fourier form; Structural change; Covariate unit roots; Asymmetry; Debt-GDP ratio;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • F31 - International Economics - - International Finance - - - Foreign Exchange

    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:eee:ecmode:v:33:y:2013:i:c:p:101-112. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/30411 .

    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.