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Convergence Of Metropolitan House Prices In South Africa: A Re-Examination Using Efficient Unit Root Tests

  • Sonali DAS , Rangan GUPTA
  • Patrick A. KAYA

This paper analyzes whether the Law of One Price (LOOP) holds in the housing market of five metropolitan areas of South Africa, namely Cape Town, Durban, Greater Johannesburg, Port Elizabeth/Uitenhage and Pretoria. We test the existence of LOOP using the efficient unit root tests proposed by Elliott et al. (1996) [DF-GLS] and Elliott (1999) [DF-GLSu] based on monthly data on residential property prices covering the period of 1967:01 to 2009:03 for the large-, medium and small-middle segments of the housing market. Based on the DF-GLSu test, we find overwhelming evidence of the existence of LOOP in twelve of the fifteen cases, especially as the sample periods include more recent data. More importantly, our results are in sharp contrast with those obtained by Burger and Van Rensburg (2008) using quarterly data to based on the Im, Pesharan and Shin (IPS, 2003) test, which are, in turn, shown to be highly sensitive to frequency of the data and temporal aggregation. With the rejection of the null hypothesis of unit roots, based on panel data tests, not providing sufficient evidence to conclude that all the series in the panels have a unit root or not, more reliability should be placed on our results obtained from the efficient unit root tests.

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Article provided by Euro-American Association of Economic Development in its journal Applied Econometrics and International Development.

Volume (Year): 10 (2010)
Issue (Month): 1 ()
Pages:

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Handle: RePEc:eaa:aeinde:v:10:y:2010:i:1_12
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  1. Forni, Mario, 2002. "Using Stationarity Tests in Antitrust Market Definition," CEPR Discussion Papers 3236, C.E.P.R. Discussion Papers.
  2. Francis W. Ahking, 2002. "Efficient Unit Root Tests of real Exchange Rates in the Post-Bretton Woods Era," Working papers 2002-17, University of Connecticut, Department of Economics.
  3. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-36, July.
  4. Smith, Lawrence B & Rosen, Kenneth T & Fallis, George, 1988. "Recent Developments in Economic Models of Housing Markets," Journal of Economic Literature, American Economic Association, vol. 26(1), pages 29-64, March.
  5. Kilian, L. & Caner, M., 1999. "Size Distortions of Tests of the Null Hypothesis of Stationarity: Evidence and Implications for the PPP Debate," Papers 99-05, Michigan - Center for Research on Economic & Social Theory.
  6. Kwiatkowski, D. & Phillips, P.C.B. & Schmidt, P., 1990. "Testing the Null Hypothesis of Stationarity Against the Alternative of Unit Root : How Sure are we that Economic Time Series have a Unit Root?," Papers 8905, Michigan State - Econometrics and Economic Theory.
  7. Pasaran, M.H. & Im, K.S. & Shin, Y., 1995. "Testing for Unit Roots in Heterogeneous Panels," Cambridge Working Papers in Economics 9526, Faculty of Economics, University of Cambridge.
  8. Philippe Burger & Lizelle janse Van rensburg, 2008. "Metropolitan House Prices In South Africa: Do They Converge?," South African Journal of Economics, Economic Society of South Africa, vol. 76(2), pages 291-297, 06.
  9. Axel Dreher & Tim Krieger, 2005. "Do gasoline prices converge in a unified Europe with non-harmonized tax rates?," KOF Working papers 05-114, KOF Swiss Economic Institute, ETH Zurich.
  10. Karlsson, Sune & Lothgren, Mickael, 2000. "On the power and interpretation of panel unit root tests," Economics Letters, Elsevier, vol. 66(3), pages 249-255, March.
  11. repec:cup:cbooks:9780521016919 is not listed on IDEAS
  12. repec:cup:cbooks:9780521816632 is not listed on IDEAS
  13. Thabo M. Mokoena & Gupta, R. & Van Eyden, R., 2009. "Half-Life Deviations from PPP in the South African Development Community (SADC)," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 9(1).
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