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Unit root testing against an ST-MTAR alternative: finite-sample properties and an application to the UK housing market

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  • Steven Cook
  • Dimitrios Vougas

Abstract

A class of smooth transition momentum-threshold autoregressive (ST-MTAR) tests is proposed to allow testing of the unit root hypothesis against an alternative of asymmetric adjustment about a smooth nonlinear trend. Monte-Carlo simulation is employed to derive finite-sample critical values for the proposed test and illustrate its attractive power properties against a range of stationary alternatives. The empirical relevance of the ST-MTAR test is highlighted via an application to aggregate house price data for the UK. Interestingly, house prices are found to exhibit structural change characterized a fitted logistic smooth transition process, with the newly proposed ST-MTAR test providing the most significant results of the alternative smooth transition unit root tests available.

Suggested Citation

  • Steven Cook & Dimitrios Vougas, 2009. "Unit root testing against an ST-MTAR alternative: finite-sample properties and an application to the UK housing market," Applied Economics, Taylor & Francis Journals, vol. 41(11), pages 1397-1404.
  • Handle: RePEc:taf:applec:v:41:y:2009:i:11:p:1397-1404
    DOI: 10.1080/00036840601019331
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    Citations

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    Cited by:

    1. Chen, Shyh-Wei & Xie, Zixiong, 2015. "Testing for current account sustainability under assumptions of smooth break and nonlinearity," International Review of Economics & Finance, Elsevier, vol. 38(C), pages 142-156.
    2. Carlos P. Barros & Luis A. Gil-Alana, 2013. "The Housing Markets in Spain and Portugal: Evidence of Persistence," Review of Economics & Finance, Better Advances Press, Canada, vol. 3, pages 19-32, November.
    3. Chen, Shyh-Wei & Hsu, Chi-Sheng & Xie, Zixong, 2016. "Are there periodically collapsing bubbles in the stock markets? New international evidence," Economic Modelling, Elsevier, vol. 52(PB), pages 442-451.
    4. Chen, Shyh-Wei, 2014. "Smooth transition, non-linearity and current account sustainability: Evidence from the European countries," Economic Modelling, Elsevier, vol. 38(C), pages 541-554.
    5. 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.
    6. 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.
    7. Taştan Serkan & Arıç Kıvanç Halil, 2015. "Is Current Account of Turkey Sustainable ? Evidence from Nonlinear Unit Root Tests," Romanian Economic Journal, Department of International Business and Economics from the Academy of Economic Studies Bucharest, vol. 18(57), pages 95-114, September.
    8. Giorgio Canarella & Stephen M. Miller & Stephen K. Pollard, 2010. "Unit Roots and Structural Change: An Application to US House-Price Indices," Working papers 2010-04, University of Connecticut, Department of Economics, revised Dec 2010.
    9. Carlos Pestana BARROS & Zhongfei CHEN & Luis A. GIL-ALANA, 2013. "Long Memory in the Housing Price Indices in China," Asian Journal of Empirical Research, Asian Economic and Social Society, vol. 3(7), pages 785-807, July.
    10. Xie, Zixiong & Chen, Shyh-Wei, 2015. "Are there periodically collapsing bubbles in the REIT markets? New evidence from the US," Research in International Business and Finance, Elsevier, vol. 33(C), pages 17-31.
    11. Mei-Se Chien, 2013. "The Non-linear Ripple Effect of Housing Prices in Taiwan: A Smooth Transition Regressive Model," ERES eres2013_51, European Real Estate Society (ERES).

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