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A Flexible Fourier Approach to Repeat Sales Price Indexes

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  • Daniel P. McMillen
  • Jonathan Dombrow

Abstract

Time periods are typically highly aggregated for repeat sales estimators because of the small number of observations available in some periods. We use a flexible Fourier expansion to account for time, which we treat as a continuous variable. Our estimator saves degrees of freedom and enables us to estimate the price index efficiently even for times with few sales. We present estimated price indexes for the City of Chicago, Cook County, and several suburbs.

Suggested Citation

  • Daniel P. McMillen & Jonathan Dombrow, 2001. "A Flexible Fourier Approach to Repeat Sales Price Indexes," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 29(2), pages 207-225.
    • Handle: RePEc:bla:reesec:v:29:y:2001:i:2:p:207-225
    DOI: 10.1111/1080-8620.00008
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    Cited by:

    1. Michel Baroni & Fabrice Barthélémy & Mahdi Mokrane, 2011. "A repeat sales index robust to small datasets," Journal of Property Investment & Finance, Emerald Group Publishing Limited, vol. 29(1), pages 35-48, February.
    2. Cohen, Jeffrey P. & Barr, Jason & Kim, Eon, 2021. "Storm surges, informational shocks, and the price of urban real estate: An application to the case of Hurricane Sandy," Regional Science and Urban Economics, Elsevier, vol. 90(C).
    3. Daniel P. McMillen, 2002. "The center restored: Chicago's residential price gradient reemerges," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 26(Q II), pages 2-11.
    4. Ihlanfeldt, Keith R. & Shaughnessy, Timothy M., 2004. "An empirical investigation of the effects of impact fees on housing and land markets," Regional Science and Urban Economics, Elsevier, vol. 34(6), pages 639-661, November.
    5. Paul Thorsnes & Robert Alexander & David Kidson, 2011. "Low-income housing in high-amenity areas: Long-run impacts on residential development," Working Papers 1115, University of Otago, Department of Economics, revised Dec 2011.
    6. Steven C. Bourassa & Martin Hoesli, 2016. "High Frequency House Price Indexes with Scarce Data," Swiss Finance Institute Research Paper Series 16-27, Swiss Finance Institute.
    7. Daniel P. McMillen, 2010. "Issues In Spatial Data Analysis," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 119-141, February.
    8. Timothy F Welch & Steven R Gehrke & Steven Farber, 2018. "Rail station access and housing market resilience: Case studies of Atlanta, Baltimore and Portland," Urban Studies, Urban Studies Journal Limited, vol. 55(16), pages 3615-3630, December.
    9. Marc Francke, 2010. "Repeat Sales Index for Thin Markets," The Journal of Real Estate Finance and Economics, Springer, vol. 41(1), pages 24-52, July.
    10. McMillen, Daniel P., 2003. "The return of centralization to Chicago: using repeat sales to identify changes in house price distance gradients," Regional Science and Urban Economics, Elsevier, vol. 33(3), pages 287-304, May.
    11. Douglas Hodgson & Barrett Slade & Keith Vorkink, 2006. "Constructing Commercial Indices: A Semiparametric Adaptive Estimator Approach," The Journal of Real Estate Finance and Economics, Springer, vol. 32(2), pages 151-168, March.
    12. Andersson, Fredrik & Mayock, Tom, 2014. "Loss severities on residential real estate debt during the Great Recession," Journal of Banking & Finance, Elsevier, vol. 46(C), pages 266-284.
    13. Daniel Melser, 2023. "Selection Bias in Housing Price Indexes: The Characteristics Repeat Sales Approach," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 85(3), pages 623-637, June.
    14. Melser, Daniel, 2017. "Disaggregated property price appreciation: The mixed repeat sales model," Regional Science and Urban Economics, Elsevier, vol. 66(C), pages 108-118.
    15. Glennon, Dennis & Kiefer, Hua & Mayock, Tom, 2018. "Measurement error in residential property valuation: An application of forecast combination," Journal of Housing Economics, Elsevier, vol. 41(C), pages 1-29.
    16. Sheharyar Bokhari & David Geltner, 2012. "Estimating Real Estate Price Movements for High Frequency Tradable Indexes in a Scarce Data Environment," The Journal of Real Estate Finance and Economics, Springer, vol. 45(2), pages 522-543, August.
    17. Cohen, Jeffrey P. & Brown, Mike, 2017. "Does a new rail rapid transit line announcement affect various commercial property prices differently?," Regional Science and Urban Economics, Elsevier, vol. 66(C), pages 74-90.
    18. Thorsnes, Paul & Bishop, Tim, 2013. "The value of basic building code insulation," Energy Economics, Elsevier, vol. 37(C), pages 68-81.
    19. Guo, Xiaoyang & Zheng, Siqi & Geltner, David & Liu, Hongyu, 2014. "A new approach for constructing home price indices: The pseudo repeat sales model and its application in China," Journal of Housing Economics, Elsevier, vol. 25(C), pages 20-38.
    20. Andersson, Fredrik & Mayock, Tom, 2014. "How does home equity affect mobility?," Journal of Urban Economics, Elsevier, vol. 84(C), pages 23-39.
    21. Keith Ihlanfeldt & Tom Mayock, 2014. "Housing Bubbles and Busts: The Role of Supply Elasticity," Land Economics, University of Wisconsin Press, vol. 90(1), pages 79-99.
    22. Paul Thorsnes & Robert Alexander & David Kidson, 2015. "Low-income housing in high-amenity areas: Long-run effects on residential development," Urban Studies, Urban Studies Journal Limited, vol. 52(2), pages 261-278, February.
    23. Poh Har Neo & Seow Eng Ong & Yong Tu, 2008. "Buyer Exuberance and Price Premium," Urban Studies, Urban Studies Journal Limited, vol. 45(2), pages 331-345, February.
    24. Constantinescu, Mihnea & Francke, Marc, 2013. "The historical development of the Swiss rental market – A new price index," Journal of Housing Economics, Elsevier, vol. 22(2), pages 135-145.
    25. Deng, Yongheng & McMillen, Daniel P. & Sing, Tien Foo, 2014. "Matching indices for thinly-traded commercial real estate in Singapore," Regional Science and Urban Economics, Elsevier, vol. 47(C), pages 86-98.

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