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Adjusting for Non-Linear Age Effects in the Repeat Sales Index

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  • K. Chau
  • S. Wong
  • C. Yiu

Abstract

A true constant quality real estate price index should measure the general change in price level free from any change in quality over time. In recent years, the repeat-sales method has been widely used to construct constant quality property price indices. Since buildings depreciate over time, a simple repeat-sales index would underestimate the growth in property prices. The major problem of controlling the effects of age constant in a repeat-sales model arises from the exact multicollinearity between the age variable and the time dummy variables. In this study, we derive a solution that is theoretically sound and practical by allowing the age effects to be non-linear. In case of leasehold properties, we further incorporated interest rates into the model because the effects of age on real estate prices depend theoretically on interest rates. A sample of residential units in Hong Kong sold more than once from Quarter 2 of 1991 to Quarter 1 of 2001 (more than 11,000 repeat sales pairs) are used for the empirical analysis. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • K. Chau & S. Wong & C. Yiu, 2005. "Adjusting for Non-Linear Age Effects in the Repeat Sales Index," The Journal of Real Estate Finance and Economics, Springer, vol. 31(2), pages 137-153, September.
    • Handle: RePEc:kap:jrefec:v:31:y:2005:i:2:p:137-153
    DOI: 10.1007/s11146-005-1369-6
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    1. Shimizu, Chihiro, 2014. "How Are Property Investment Returns Determined? : Estimating the Micro-Structure of Asset Prices, Property Income, and Discount Rates," HIT-REFINED Working Paper Series 12, Institute of Economic Research, Hitotsubashi University.
    2. Diewert, W. Erwin & Nishimura , Kiyohiko & Shimizu, Chihiro & Watanabe, Tsutomu, 2014. "Residential Property Price Indexes for Japan: An Outline of the Japanese Official RPPI," Economics working papers erwin_diewert-2014-17, Vancouver School of Economics, revised 27 Mar 2014.
    3. Iqbal A. Syed & Jan De Haan, 2017. "Age, Time, Vintage, And Price Indexes: Measuring The Depreciation Pattern Of Houses," Economic Inquiry, Western Economic Association International, vol. 55(1), pages 580-600, January.
    4. Shimizu Chihiro & Nishimura Kiyohiko G. & Watanabe Tsutomu, 2010. "Housing Prices in Tokyo: A Comparison of Hedonic and Repeat Sales Measures," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 230(6), pages 792-813, December.
    5. Siu Kei Wong & K. W. Chau & K. Karato & C. Shimizu, 2018. "Separating the Age Effect from a Repeat Sales Index: Land and Structure Decomposition," The Journal of Real Estate Finance and Economics, Springer, vol. 57(3), pages 351-366, October.
    6. Jing Wu & Yongheng Deng & Hongyu Liu, 2014. "House Price Index Construction in the Nascent Housing Market: The Case of China," The Journal of Real Estate Finance and Economics, Springer, vol. 48(3), pages 522-545, April.
    7. Kuang Kuang Deng & Siu Kei Wong, 2023. "Revisiting the Autocorrelation of Real Estate Returns," The Journal of Real Estate Finance and Economics, Springer, vol. 67(2), pages 243-263, August.

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