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Unit Roots and Structural Change: An Application to US House-Price Indices

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  • Giorgio Canarella

    (California State University, Los Angeles, and University of Nevada, Las Vegas)

  • Stephen M. Miller

    (University of Connecticut and University of Nevada, Las Vegas)

  • Stephen K. Pollard

    (California State University, Los Angeles)

Abstract

This paper addresses two issues. First, we employ unit-root tests that allow for two endogenous breaks as suggested by Lumdaine and Papell (1997) and, more recently, Lee and Strazicich (2003) to investigate the integration properties of the returns on the S&P/Case-Shiller Home Price Indices. The findings of the tests that assume structural stability provide no evidence against the unit-root hypothesis in all returns series. Conversely, the Lumdaine-Papell and Lee-Strazicich tests indicate that significant structural breaks exist in the US housing market. Only the Lee-Strazicich test, however, which incorporates structural changes under the null hypothesis, finds that the returns to houses exhibit trend stationarity with structural breaks, in most cases, rather than a random walk. Second, we apply these tests to analyze what UK researchers call the "ripple effect" in the British housing markets. Following Meen (1999), we investigate the stationarity of the metropolitan house-price ratios. The findings of the Lumsdaine-Papell test provide no evidence against the unit-root hypothesis in all house-price ratio series. Conversely, the Lee-Strazicich test finds broken-trend stationarity of the metropolitan house-price ratios for Boston, Miami, and New York. This provides limited evidence that some ripple effects do indeed exists in the US housing market.

Suggested Citation

  • 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.
  • Handle: RePEc:uct:uconnp:2010-04
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    1. Lennart Berg, 2002. "Prices on the second-hand market for Swedish family houses: correlation, causation and determinants," European Journal of Housing Policy, Taylor and Francis Journals, vol. 2(1), pages 1-24.
    2. Charles Himmelberg & Christopher Mayer & Todd Sinai, 2005. "Assessing High House Prices: Bubbles, Fundamentals and Misperceptions," Journal of Economic Perspectives, American Economic Association, vol. 19(4), pages 67-92, Fall.
    3. Carol Alexander & Michael Barrow, 1994. "Seasonality and Cointegration of Regional House Prices in the UK," Urban Studies, Urban Studies Journal Limited, vol. 31(10), pages 1667-1689, December.
    4. Case Karl E. & Quigley John M. & Shiller Robert J., 2005. "Comparing Wealth Effects: The Stock Market versus the Housing Market," The B.E. Journal of Macroeconomics, De Gruyter, vol. 5(1), pages 1-34, May.
    5. Rangan Gupta & Stephen Miller, 2012. "“Ripple effects” and forecasting home prices in Los Angeles, Las Vegas, and Phoenix," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 48(3), pages 763-782, June.
    6. Lee, Junsoo & List, John A. & Strazicich, Mark C., 2006. "Non-renewable resource prices: Deterministic or stochastic trends?," Journal of Environmental Economics and Management, Elsevier, vol. 51(3), pages 354-370, May.
    7. Mark J. Holmes & Arthur Grimes, 2008. "Is There Long-run Convergence among Regional House Prices in the UK?," Urban Studies, Urban Studies Journal Limited, vol. 45(8), pages 1531-1544, July.
    8. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    9. Campbell, John Y. & Cocco, Joao F., 2007. "How do house prices affect consumption? Evidence from micro data," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 591-621, April.
    10. Hanno N. Lustig & Stijn G. Van Nieuwerburgh, 2005. "Housing Collateral, Consumption Insurance, and Risk Premia: An Empirical Perspective," Journal of Finance, American Finance Association, vol. 60(3), pages 1167-1219, June.
    11. Piazzesi, Monika & Schneider, Martin & Tuzel, Selale, 2007. "Housing, consumption and asset pricing," Journal of Financial Economics, Elsevier, vol. 83(3), pages 531-569, March.
    12. Junsoo Lee & Mark C. Strazicich, 2013. "Minimum LM unit root test with one structural break," Economics Bulletin, AccessEcon, vol. 33(4), pages 2483-2492.
    13. Meen, Geoffrey, 2002. "The Time-Series Behavior of House Prices: A Transatlantic Divide?," Journal of Housing Economics, Elsevier, vol. 11(1), pages 1-23, March.
    14. Clapp, John M. & Tirtiroglu, Dogan, 1994. "Positive feedback trading and diffusion of asset price changes: Evidence from housing transactions," Journal of Economic Behavior & Organization, Elsevier, vol. 24(3), pages 337-355, August.
    15. Diba, Behzad T & Grossman, Herschel I, 1988. "Explosive Rational Bubbles in Stock Prices?," American Economic Review, American Economic Association, vol. 78(3), pages 520-530, June.
    16. 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.
    17. 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.
    18. Robert J. Shiller, 2007. "Understanding recent trends in house prices and homeownership," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 89-123.
    19. McDonald, Ronald & Taylor, Mark P, 1993. "Regional House Prices in Britain: Long-Run Relationships and Short-Run Dynamics," Scottish Journal of Political Economy, Scottish Economic Society, vol. 40(1), pages 43-55, February.
    20. Robin L. Lumsdaine & David H. Papell, 1997. "Multiple Trend Breaks And The Unit-Root Hypothesis," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 212-218, May.
    21. 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.
    22. 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.
    23. Cook, Steven, 2005. "Regional house price behaviour in the UK: application of a joint testing procedure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(3), pages 611-621.
    24. Donald R. Haurin, 1980. "The Regional Distribution of Population, Migration, and Climate," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(2), pages 293-308.
    25. Case, Karl E & Shiller, Robert J, 1989. "The Efficiency of the Market for Single-Family Homes," American Economic Review, American Economic Association, vol. 79(1), pages 125-137, March.
    26. Tirtiroglu, Dogan, 1992. "Efficiency in housing markets: Temporal and spatial dimensions," Journal of Housing Economics, Elsevier, vol. 2(3), pages 276-292, September.
    27. Steven Cook, 2005. "Detecting long-run relationships in regional house prices in the UK," International Review of Applied Economics, Taylor & Francis Journals, vol. 19(1), pages 107-118.
    28. Mark J. Holmes & Arthur Grimes, 2005. "Is there long-run convergence of regional house prices in the UK?," Working Papers 05_11, Motu Economic and Public Policy Research.
    29. Evans, George W, 1991. "Pitfalls in Testing for Explosive Bubbles in Asset Prices," American Economic Review, American Economic Association, vol. 81(4), pages 922-930, September.
    30. Donald R. Haurin & Patric H. Hendershott & Dongwook Kim, 1990. "Tenure Choice of American Youth," NBER Working Papers 3310, National Bureau of Economic Research, Inc.
    31. Clayton, Jim, 1997. "Are Housing Price Cycles Driven by Irrational Expectations?," The Journal of Real Estate Finance and Economics, Springer, vol. 14(3), pages 341-363, May.
    32. John D. Benjamin & Peter Chinloy & G. Donald Jud, 2004. "Real Estate Versus Financial Wealth in Consumption," The Journal of Real Estate Finance and Economics, Springer, vol. 29(3), pages 341-354, November.
    33. David Geltner, 1989. "Bias in Appraisal‐Based Returns," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 17(3), pages 338-352, September.
    34. Yongheng Deng & John Quigley, 2008. "Index Revision, House Price Risk, and the Market for House Price Derivatives," The Journal of Real Estate Finance and Economics, Springer, vol. 37(3), pages 191-209, October.
    35. 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.
    36. Perron, Pierre, 1997. "Further evidence on breaking trend functions in macroeconomic variables," Journal of Econometrics, Elsevier, vol. 80(2), pages 355-385, October.
    37. Malpezzi, Stephen, 1999. "A Simple Error Correction Model of House Prices," Journal of Housing Economics, Elsevier, vol. 8(1), pages 27-62, March.
    38. Jeremy C. Stein, 1995. "Prices and Trading Volume in the Housing Market: A Model with Down-Payment Effects," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(2), pages 379-406.
    39. Dan Ben-David & Robin L. Lumsdaine & David H. Papell, 2003. "Unit roots, postwar slowdowns and long-run growth: Evidence from two structural breaks," Empirical Economics, Springer, vol. 28(2), pages 303-319, April.
    40. Robert J. Shiller, 2007. "Understanding recent trends in house prices and homeownership," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, pages 89-123.
    41. Robert Edelstein & Daniel Quan, 2006. "How Does Appraisal Smoothing Bias Real Estate Returns Measurement?," The Journal of Real Estate Finance and Economics, Springer, vol. 32(1), pages 41-60, February.
    42. Jonathan McCarthy & Richard Peach, 2004. "Are home prices the next \\"bubble\\"?," Economic Policy Review, Federal Reserve Bank of New York, issue Dec, pages 1-17.
    43. Newbold, Paul & Leybourne, Stephen & Wohar, Mark E., 2001. "Trend-stationarity, difference-stationarity, or neither: further diagnostic tests with an application to U.S. Real GNP, 1875-1993," Journal of Economics and Business, Elsevier, vol. 53(1), pages 85-102.
    44. Stephen Leybourne & Paul Newbold & Dimitrios Vougas, 1998. "Unit roots and smooth transitions," Journal of Time Series Analysis, Wiley Blackwell, vol. 19(1), pages 83-97, January.
    45. Rangan Gupta & Stephen Miller, 2012. "The Time-Series Properties of House Prices: A Case Study of the Southern California Market," The Journal of Real Estate Finance and Economics, Springer, vol. 44(3), pages 339-361, April.
    46. Karl E. Case & Robert J. Shiller, 2003. "Is There a Bubble in the Housing Market?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(2), pages 299-362.
    47. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
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    8. Ming-Chu Chiang & I-Chun Tsai, 2016. "Ripple effect and contagious effect in the US regional housing markets," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 56(1), pages 55-82, January.
    9. Goodness C. Aye & Samrat Goswami & Rangan Gupta, 2012. "Metropolitan House Prices In India: Do They Converge?," Working Papers 201220, University of Pretoria, Department of Economics.
    10. Ming-Chu Chiang & I-Chun Tsai, 2016. "Ripple effect and contagious effect in the US regional housing markets," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 56(1), pages 55-82, January.
    11. Yunlong Gong & Peter Boelhouwer & Jan de Haan, 2014. "Spatial Dependence in House Prices: Evidence from China's Interurban Housing Market," ERSA conference papers ersa14p448, European Regional Science Association.
    12. Montañés, Antonio & Olmos, Lorena & Reyes, Marcelo, 2016. "Does crisis affect convergence process? The case of the Spanish provinces," MPRA Paper 69543, University Library of Munich, Germany.
    13. Nicholas Apergis & Tsangyao Chang & Christina Christou & Rangan Gupta, 2017. "Convergence of Health Care Expenditures Across the US States: A Reconsideration," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 133(1), pages 303-316, August.
    14. Tuck Cheong Tang & Pei Pei Tan, 2015. "Real Interest Rate and House Prices in Malaysia: An Empirical Stud," Economics Bulletin, AccessEcon, vol. 35(1), pages 270-275.
    15. William Miles, 2015. "Bubbles, Busts and Breaks in UK Housing," International Real Estate Review, Global Social Science Institute, vol. 18(4), pages 455-471.
    16. Montañés, A. & Olmos, L., 2013. "Convergence in US house prices," Economics Letters, Elsevier, vol. 121(2), pages 152-155.
    17. Alfred Larm Teye & Daniel Felix Ahelegbey, 2017. "Spatial and Temporal House Price Diffusion in the Netherlands: A Bayesian Network Approach," ERES eres2017_337, European Real Estate Society (ERES).
    18. Mehmet Balcilar & Abebe Beyene & Rangan Gupta & Monaheng Seleteng, 2013. "‘Ripple’ Effects in South African House Prices," Urban Studies, Urban Studies Journal Limited, vol. 50(5), pages 876-894, April.
    19. James D. Shilling & C.F. Sirmans & Barrett A. Slade, 2017. "Spatial Correlation in Expected Returns in Commercial Real Estate Markets and the Role of Core Markets," The Journal of Real Estate Finance and Economics, Springer, vol. 54(3), pages 297-337, April.
    20. 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).
    21. Francisca Richter & Youngme Seo, 2011. "Inter-regional home price dynamics through the foreclosure crisis," Working Papers (Old Series) 1119, Federal Reserve Bank of Cleveland.

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    Keywords

    House-price indexes; Time-series properties; Ripple effects;
    All these keywords.

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General

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