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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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    Cited by:

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    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. 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.
    7. 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.
    8. Eleni Kyriazakou & Theodore Panagiotidis, 2018. "A nonlinear pairwise approach for the convergence of UK regional house prices," International Economics and Economic Policy, Springer, vol. 15(2), pages 467-481, April.
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    10. Guglielmo Maria Caporale & Luis Alberiko Gil-Alana, 2023. "U.S. House Prices by Census Division: Persistence, Trends and Structural Breaks," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 29(1), pages 79-90, May.
    11. Giorgio Canarella & Luis Gil-Alana & Rangan Gupta & Stephen M Miller, 2021. "Persistence and cyclical dynamics of US and UK house prices: Evidence from over 150 years of data," Urban Studies, Urban Studies Journal Limited, vol. 58(1), pages 53-72, January.
    12. Giorgio Canarella & Stephen Miller & Stephen Pollard, 2012. "Unit Roots and Structural Change," Urban Studies, Urban Studies Journal Limited, vol. 49(4), pages 757-776, March.
    13. 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).
    14. Steve Cook, 2012. "β-convergence and the Cyclical Dynamics of UK Regional House Prices," Urban Studies, Urban Studies Journal Limited, vol. 49(1), pages 203-218, January.
    15. 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.
    16. Hooi Hooi Lean & Russell Smyth, 2013. "Regional House Prices and the Ripple Effect in Malaysia," Urban Studies, Urban Studies Journal Limited, vol. 50(5), pages 895-922, April.
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    18. Guglielmo Maria Caporale & Luis Alberiko Gil-Alana, 2023. "Long-Run Trends and Cycles in US House Prices," CESifo Working Paper Series 10751, CESifo.
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    22. Stéphane Goutte & David Guerreiro & Bilel Sanhaji & Sophie Saglio & Julien Chevallier, 2019. "International Financial Markets," Post-Print halshs-02183053, HAL.

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