IDEAS home Printed from https://ideas.repec.org/a/eee/quaeco/v54y2014i1p17-30.html
   My bibliography  Save this article

Estimation of variance of housing prices using spatial conditional heteroskedasticity (SARCH) model with an application to Boston housing price data

Author

Listed:
  • Simlai, Prodosh

Abstract

In this paper we investigate housing price volatility within a spatial econometrics setting. We propose an extended spatial regression model of the real estate market that includes the effects of both conditional heteroskedasticity and spatial autocorrelation. Our suggested model has features similar to those of autoregressive conditional heteroskedasticity (ARCH) in the time-series context. We utilize the spatial ARCH (SARCH) model to analyze Boston housing price data used by Harrison and Rubinfeld (1978) and Gilley and Pace (1996). We show that measuring the variability of housing prices is an important issue and our SARCH model captures the conditional spatial variability of Boston housing prices. We argue that there is a different source of spatial variation, which is independent of traditional housing and neighborhood characteristics, and is captured by the SARCH model.

Suggested Citation

  • Simlai, Prodosh, 2014. "Estimation of variance of housing prices using spatial conditional heteroskedasticity (SARCH) model with an application to Boston housing price data," The Quarterly Review of Economics and Finance, Elsevier, vol. 54(1), pages 17-30.
    • Handle: RePEc:eee:quaeco:v:54:y:2014:i:1:p:17-30
    DOI: 10.1016/j.qref.2013.07.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1062976913000446
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.qref.2013.07.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Brasington, David M. & Hite, Diane, 2008. "A mixed index approach to identifying hedonic price models," Regional Science and Urban Economics, Elsevier, vol. 38(3), pages 271-284, May.
    2. Daniel P. McMillen, 2010. "Issues In Spatial Data Analysis," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 119-141, February.
    3. Dubin, Robin A, 1988. "Estimation of Regression Coefficients in the Presence of Spatially Autocorrelated Error Terms," The Review of Economics and Statistics, MIT Press, vol. 70(3), pages 466-474, August.
    4. Kurt J. Beron & Yaw Hanson & James C. Murdoch & Mark A. Thayer, 2004. "Hedonic Price Functions and Spatial Dependence: Implications for the Demand for Urban Air Quality," Advances in Spatial Science, in: Luc Anselin & Raymond J. G. M. Florax & Sergio J. Rey (ed.), Advances in Spatial Econometrics, chapter 12, pages 267-281, Springer.
    5. Daniel P. McMillen & Christian L. Redfearn, 2010. "Estimation And Hypothesis Testing For Nonparametric Hedonic House Price Functions," Journal of Regional Science, Wiley Blackwell, vol. 50(3), pages 712-733, August.
    6. Helms, Andrew C., 2012. "Keeping up with the Joneses: Neighborhood effects in housing renovation," Regional Science and Urban Economics, Elsevier, vol. 42(1-2), pages 303-313.
    7. Luc Anselin & Nancy Lozano-Gracia, 2009. "Errors in variables and spatial effects in hedonic house price models of ambient air quality," Studies in Empirical Economics, in: Giuseppe Arbia & Badi H. Baltagi (ed.), Spatial Econometrics, pages 5-34, Springer.
    8. M. Fletcher & P. Gallimore & J. Mangan, 2000. "Heteroscedasticity in hedonic house price models," Journal of Property Research, Taylor & Francis Journals, vol. 17(2), pages 93-108, January.
    9. Walter Dolde & Dogan Tirtiroglu, 2002. "Housing Price Volatility Changes and Their Effects," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 30(1), pages 41-66.
    10. Walter Dolde & Dogan Tirtiroglu, 1997. "Temporal and Spatial Information Diffusion in Real Estate Price Changes and Variances," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 25(4), pages 539-565, December.
    11. DiPasquale Denise & Wheaton William C., 1994. "Housing Market Dynamics and the Future of Housing Prices," Journal of Urban Economics, Elsevier, vol. 35(1), pages 1-27, January.
    12. Jorge Chica-Olmo, 2007. "Prediction of Housing Location Price by a Multivariate Spatial Method: Cokriging," Journal of Real Estate Research, American Real Estate Society, vol. 29(1), pages 95-114.
    13. Follain, James R. & Jimenez, Emmanuel, 1985. "Estimating the demand for housing characteristics: A survey and critique," Regional Science and Urban Economics, Elsevier, vol. 15(1), pages 77-107, February.
    14. Sheppard, Stephen, 1999. "Hedonic analysis of housing markets," Handbook of Regional and Urban Economics, in: P. C. Cheshire & E. S. Mills (ed.), Handbook of Regional and Urban Economics, edition 1, volume 3, chapter 41, pages 1595-1635, Elsevier.
    15. Goodman, Allen C. & Thibodeau, Thomas G., 2003. "Housing market segmentation and hedonic prediction accuracy," Journal of Housing Economics, Elsevier, vol. 12(3), pages 181-201, September.
    16. Luc Anselin & Julie Le Gallo, 2006. "Interpolation of air quality measures in hedonic house price models : spatial aspects," Post-Print hal-00485017, HAL.
    17. Delores Conway & Christina Li & Jennifer Wolch & Christopher Kahle & Michael Jerrett, 2010. "A Spatial Autocorrelation Approach for Examining the Effects of Urban Greenspace on Residential Property Values," The Journal of Real Estate Finance and Economics, Springer, vol. 41(2), pages 150-169, August.
    18. Gilley, Otis W. & Pace, R. Kelley, 1996. "On the Harrison and Rubinfeld Data," Journal of Environmental Economics and Management, Elsevier, vol. 31(3), pages 403-405, November.
    19. Jungik Kim & Peter Goldsmith, 2009. "A Spatial Hedonic Approach to Assess the Impact of Swine Production on Residential Property Values," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 42(4), pages 509-534, April.
    20. Can, Ayse, 1992. "Specification and estimation of hedonic housing price models," Regional Science and Urban Economics, Elsevier, vol. 22(3), pages 453-474, September.
    21. Anselin, Luc & Bera, Anil K. & Florax, Raymond & Yoon, Mann J., 1996. "Simple diagnostic tests for spatial dependence," Regional Science and Urban Economics, Elsevier, vol. 26(1), pages 77-104, February.
    22. Pace, R Kelley, 1993. "Nonparametric Methods with Applications to Hedonic Models," The Journal of Real Estate Finance and Economics, Springer, vol. 7(3), pages 185-204, November.
    23. Epple, Dennis, 1987. "Hedonic Prices and Implicit Markets: Estimating Demand and Supply Functions for Differentiated Products," Journal of Political Economy, University of Chicago Press, vol. 95(1), pages 59-80, February.
    24. Krasker, William S. & Kuh, Edwin & Welsch, Roy E., 1983. "Estimation for dirty data and flawed models," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 1, chapter 11, pages 651-698, Elsevier.
    25. Dubin, Robin A., 1992. "Spatial autocorrelation and neighborhood quality," Regional Science and Urban Economics, Elsevier, vol. 22(3), pages 433-452, September.
    26. Chesher, Andrew D, 1984. "Testing for Neglected Heterogeneity," Econometrica, Econometric Society, vol. 52(4), pages 865-872, July.
    27. Smirnov, Oleg & Anselin, Luc, 2001. "Fast maximum likelihood estimation of very large spatial autoregressive models: a characteristic polynomial approach," Computational Statistics & Data Analysis, Elsevier, vol. 35(3), pages 301-319, January.
    28. Michael Brady & Elena Irwin, 2011. "Accounting for Spatial Effects in Economic Models of Land Use: Recent Developments and Challenges Ahead," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 48(3), pages 487-509, March.
    29. Pace, R Kelley & Gilley, Otis W, 1997. "Using the Spatial Configuration of the Data to Improve Estimation," The Journal of Real Estate Finance and Economics, Springer, vol. 14(3), pages 333-340, May.
    30. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
    31. Norman Miller & Liang Peng, 2006. "Exploring Metropolitan Housing Price Volatility," The Journal of Real Estate Finance and Economics, Springer, vol. 33(1), pages 5-18, August.
    32. Orme, Chris, 1990. "The small-sample performance of the information-matrix test," Journal of Econometrics, Elsevier, vol. 46(3), pages 309-331, December.
    33. Harrison, David Jr. & Rubinfeld, Daniel L., 1978. "Hedonic housing prices and the demand for clean air," Journal of Environmental Economics and Management, Elsevier, vol. 5(1), pages 81-102, March.
    34. Daniel J. Henderson & Christopher F. Parmeter & Subal C. Kumbhakar, 2007. "Nonparametric estimation of a hedonic price function," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(3), pages 695-699.
    35. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    36. Harry Haupt & Joachim Schnurbus & Rolf Tschernig, 2010. "On nonparametric estimation of a hedonic price function," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(5), pages 894-901.
    37. Rosen, Sherwin, 1974. "Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 34-55, Jan.-Feb..
    38. Kang, Wensheng, 2011. "Housing price dynamics and convergence in high-tech metropolitan economies," The Quarterly Review of Economics and Finance, Elsevier, vol. 51(3), pages 283-291, June.
    39. Badi Baltagi & Dong Li, 2001. "Double Length Artificial Regressions For Testing Spatial Dependence," Econometric Reviews, Taylor & Francis Journals, vol. 20(1), pages 31-40.
    40. Sunding, David L. & Swoboda, Aaron M., 2010. "Hedonic analysis with locally weighted regression: An application to the shadow cost of housing regulation in Southern California," Regional Science and Urban Economics, Elsevier, vol. 40(6), pages 550-573, November.
    41. Won Kim, Chong & Phipps, Tim T. & Anselin, Luc, 2003. "Measuring the benefits of air quality improvement: a spatial hedonic approach," Journal of Environmental Economics and Management, Elsevier, vol. 45(1), pages 24-39, January.
    42. Case, Anne C. & Rosen, Harvey S. & Hines, James Jr., 1993. "Budget spillovers and fiscal policy interdependence : Evidence from the states," Journal of Public Economics, Elsevier, vol. 52(3), pages 285-307, October.
    43. Granger, Clive W.J. & Machina, Mark J., 2006. "Structural attribution of observed volatility clustering," Journal of Econometrics, Elsevier, vol. 135(1-2), pages 15-29.
    44. Can, Ayse & Megbolugbe, Isaac, 1997. "Spatial Dependence and House Price Index Construction," The Journal of Real Estate Finance and Economics, Springer, vol. 14(1-2), pages 203-222, Jan.-Marc.
    45. Julia Koschinsky & Nancy Lozano-Gracia & Gianfranco Piras, 2012. "The welfare benefit of a home’s location: an empirical comparison of spatial and non-spatial model estimates," Journal of Geographical Systems, Springer, vol. 14(3), pages 319-356, July.
    46. Jeanty, P. Wilner & Partridge, Mark & Irwin, Elena, 2010. "Estimation of a spatial simultaneous equation model of population migration and housing price dynamics," Regional Science and Urban Economics, Elsevier, vol. 40(5), pages 343-352, September.
    47. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kyriacou, Maria & Phillips, Peter C.B. & Rossi, Francesca, 2023. "Continuously Updated Indirect Inference In Heteroskedastic Spatial Models," Econometric Theory, Cambridge University Press, vol. 39(1), pages 107-145, February.
    2. Rossi, Francesca & Lieberman, Offer, 2023. "Spatial autoregressions with an extended parameter space and similarity-based weights," Journal of Econometrics, Elsevier, vol. 235(2), pages 1770-1798.
    3. Prodosh Simlai, 2018. "Spatial Dependence, Idiosyncratic Risk, and the Valuation of Disaggregated Housing Data," The Journal of Real Estate Finance and Economics, Springer, vol. 57(2), pages 192-230, August.
    4. Simlai, Prodosh, 2019. "Subprime credit, idiosyncratic risk, and foreclosures," The Quarterly Review of Economics and Finance, Elsevier, vol. 74(C), pages 175-189.
    5. Jaroslav Burian & Karel Macků & Jarmila Zimmermannová & Barbora Kočvarová, 2018. "Spatio-Temporal Changes and Dependencies of Land Prices: A Case Study of the City of Olomouc," Sustainability, MDPI, vol. 10(12), pages 1-19, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Prodosh Simlai, 2018. "Spatial Dependence, Idiosyncratic Risk, and the Valuation of Disaggregated Housing Data," The Journal of Real Estate Finance and Economics, Springer, vol. 57(2), pages 192-230, August.
    2. Julia Koschinsky & Nancy Lozano-Gracia & Gianfranco Piras, 2012. "The welfare benefit of a home’s location: an empirical comparison of spatial and non-spatial model estimates," Journal of Geographical Systems, Springer, vol. 14(3), pages 319-356, July.
    3. Fritsch, Markus & Haupt, Harry & Ng, Pin T., 2016. "Urban house price surfaces near a World Heritage Site: Modeling conditional price and spatial heterogeneity," Regional Science and Urban Economics, Elsevier, vol. 60(C), pages 260-275.
    4. Daniel Lo & Kwong Wing Chau & Siu Kei Wong & Michael McCord & Martin Haran, 2022. "Factors Affecting Spatial Autocorrelation in Residential Property Prices," Land, MDPI, vol. 11(6), pages 1-16, June.
    5. Palmquist, Raymond B., 2006. "Property Value Models," Handbook of Environmental Economics, in: K. G. Mäler & J. R. Vincent (ed.), Handbook of Environmental Economics, edition 1, volume 2, chapter 16, pages 763-819, Elsevier.
    6. repec:asg:wpaper:1006 is not listed on IDEAS
    7. Won Kim, Chong & Phipps, Tim T. & Anselin, Luc, 2003. "Measuring the benefits of air quality improvement: a spatial hedonic approach," Journal of Environmental Economics and Management, Elsevier, vol. 45(1), pages 24-39, January.
    8. John I. Carruthers & David E. Clark, 2010. "Valuing Environmental Quality: A Space‐Based Strategy," Journal of Regional Science, Wiley Blackwell, vol. 50(4), pages 801-832, October.
    9. Luc Anselin, 2010. "Thirty years of spatial econometrics," Papers in Regional Science, Wiley Blackwell, vol. 89(1), pages 3-25, March.
    10. Matthew Gnagey & Therese Grijalva, 2018. "The impact of trails on property values: a spatial analysis," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 60(1), pages 73-97, January.
    11. Marco Helbich & Wolfgang Brunauer & Eric Vaz & Peter Nijkamp, 2014. "Spatial Heterogeneity in Hedonic House Price Models: The Case of Austria," Urban Studies, Urban Studies Journal Limited, vol. 51(2), pages 390-411, February.
    12. José-María Montero & Román Mínguez & Gema Fernández-Avilés, 2018. "Housing price prediction: parametric versus semi-parametric spatial hedonic models," Journal of Geographical Systems, Springer, vol. 20(1), pages 27-55, January.
    13. David Maddison, 2009. "A Spatio‐temporal Model of Farmland Values," Journal of Agricultural Economics, Wiley Blackwell, vol. 60(1), pages 171-189, February.
    14. Nakamura, Hiroki, 2020. "Evaluating the value of an entrepreneurial city with a spatial hedonic approach: A case study of London," Socio-Economic Planning Sciences, Elsevier, vol. 71(C).
    15. LE GALLO, Julie, 2000. "Econométrie spatiale 1 -Autocorrélation spatiale," LATEC - Document de travail - Economie (1991-2003) 2000-05, LATEC, Laboratoire d'Analyse et des Techniques EConomiques, CNRS UMR 5118, Université de Bourgogne.
    16. John Yinger, 2009. "Hedonic Markets and Explicit Demands: Bid-Function Envelopes for Public Services, Neighborhood Amenities, and Commuting Costs," Center for Policy Research Working Papers 114, Center for Policy Research, Maxwell School, Syracuse University.
    17. Faroek Lazrak & Peter Nijkamp & Piet Rietveld & Jan Rouwendal, 2014. "The market value of cultural heritage in urban areas: an application of spatial hedonic pricing," Journal of Geographical Systems, Springer, vol. 16(1), pages 89-114, January.
    18. Stephen A. Samaha & Wagner A. Kamakura, 2008. "Assessing the Market Value of Real Estate Property with a Geographically Weighted Stochastic Frontier Model," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 36(4), pages 717-751, December.
    19. Alan T. K. Wan & Shangyu Xie & Yong Zhou, 2017. "A varying coefficient approach to estimating hedonic housing price functions and their quantiles," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(11), pages 1979-1999, August.
    20. Gaetano Lisi, 2013. "On the Functional Form of the Hedonic Price Function: A Matching-theoretic Model and Empirical Evidence," International Real Estate Review, Global Social Science Institute, vol. 16(2), pages 189-207.
    21. Wenjie Wu, 2012. "Spatial Variations in Amenity Values: New Evidence from Beijing, China," SERC Discussion Papers 0113, Centre for Economic Performance, LSE.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:quaeco:v:54:y:2014:i:1:p:17-30. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/620167 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.