IDEAS home Printed from https://ideas.repec.org/p/dun/dpaper/285.html
   My bibliography  Save this paper

Modelling Housing Prices using a Present Value State Space Model

Author

Listed:
  • Dooruj Rambaccussing

Abstract

This paper introduces a State Space approach to explain the dynamics of rent growth, expected returns and Price-Rent ratio in housing markets. According to the present value model, movements in price to rent ratio should be matched by movements in expected returns and expected rent growth. The state space framework assume that both variables follow an autoregressive process of order one. The model is applied to the US and UK housing market, which yields series of the latent variables given the behaviour of the Price-Rent ratio. Resampling techniques and bootstrapped likelihood ratios show that expected returns tend to be highly persistent compared to rent growth. The ltered expected returns is considered in a simple predictability of excess returns model with high statistical predictability evidenced for the UK. Overall, it is found that the present value model tends to have strong statistical predictability in the UK housing markets.

Suggested Citation

  • Dooruj Rambaccussing, 2015. "Modelling Housing Prices using a Present Value State Space Model," Dundee Discussion Papers in Economics 285, Economic Studies, University of Dundee.
    • Handle: RePEc:dun:dpaper:285
    as

    Download full text from publisher

    File URL: http://www.dundee.ac.uk/media/dundeewebsite/economicstudies/documents/discussion/DDPE_285.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Robert J. Shiller, 2014. "Speculative Asset Prices (Nobel Prize Lecture)," Cowles Foundation Discussion Papers 1936, Cowles Foundation for Research in Economics, Yale University.
    2. Markus K. Brunnermeier & Christian Julliard, 2008. "Money Illusion and Housing Frenzies," The Review of Financial Studies, Society for Financial Studies, vol. 21(1), pages 135-180, January.
    3. John H. Cochrane, 2011. "HOW DID PAUL KRUGMAN GET IT SO WRONG?-super-1," Economic Affairs, Wiley Blackwell, vol. 31(2), pages 36-40, June.
    4. Tom Engsted & Bent Nielsen, 2012. "Testing for rational bubbles in a coexplosive vector autoregression," Econometrics Journal, Royal Economic Society, vol. 15(2), pages 226-254, June.
    5. Christophe Andr頍 & Luis A. Gil-Alana & Rangan Gupta, 2014. "Testing for persistence in housing price-to-income and price-to-rent ratios in 16 OECD countries," Applied Economics, Taylor & Francis Journals, vol. 46(18), pages 2127-2138, June.
    6. Meese Richard & Wallace Nancy, 1994. "Testing the Present Value Relation for Housing Prices: Should I Leave My House in San Francisco?," Journal of Urban Economics, Elsevier, vol. 35(3), pages 245-266, May.
    7. Engsted, Tom & Pedersen, Thomas Q. & Tanggaard, Carsten, 2012. "The Log-Linear Return Approximation, Bubbles, and Predictability," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 47(3), pages 643-665, June.
    8. Granger, C. W. J., 1980. "Long memory relationships and the aggregation of dynamic models," Journal of Econometrics, Elsevier, vol. 14(2), pages 227-238, October.
    9. Golinski, Adam & Madeira, Joao & Rambaccussing, Dooruj, 2014. "Fractional Integration of the Price-Dividend Ratio in a Present-Value Model of Stock Prices," SIRE Discussion Papers 2015-79, Scottish Institute for Research in Economics (SIRE).
    10. Chevillon, Guillaume & Mavroeidis, Sophocles, 2011. "Learning generates Long Memory," ESSEC Working Papers WP1113, ESSEC Research Center, ESSEC Business School.
    11. Kivedal, Bjørnar Karlsen, 2013. "Testing for rational bubbles in the US housing market," Journal of Macroeconomics, Elsevier, vol. 38(PB), pages 369-381.
    12. Durbin, James & Koopman, Siem Jan, 2012. "Time Series Analysis by State Space Methods," OUP Catalogue, Oxford University Press, edition 2, number 9780199641178.
    13. Robert J. Shiller, 2014. "Speculative Asset Prices," American Economic Review, American Economic Association, vol. 104(6), pages 1486-1517, June.
    14. John Y. Campbell, Robert J. Shiller, 1988. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," The Review of Financial Studies, Society for Financial Studies, vol. 1(3), pages 195-228.
    15. Campbell, Sean D. & Davis, Morris A. & Gallin, Joshua & Martin, Robert F., 2009. "What moves housing markets: A variance decomposition of the rent-price ratio," Journal of Urban Economics, Elsevier, vol. 66(2), pages 90-102, September.
    16. Hiebert, Paul & Sydow, Matthias, 2011. "What drives returns to euro area housing? Evidence from a dynamic dividend-discount model," Journal of Urban Economics, Elsevier, vol. 70(2-3), pages 88-98, September.
    17. JULES H. Van BINSBERGEN & RALPH S. J. KOIJEN, 2010. "Predictive Regressions: A Present‐Value Approach," Journal of Finance, American Finance Association, vol. 65(4), pages 1439-1471, August.
    18. Hiebert, Paul & Sydow, Matthias, 2011. "What drives returns to euro area housing? Evidence from a dynamic dividend–discount model," Journal of Urban Economics, Elsevier, vol. 70(2), pages 88-98.
    19. Engsted, Tom, 2006. "Explosive bubbles in the cointegrated VAR model," Finance Research Letters, Elsevier, vol. 3(2), pages 154-162, June.
    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. Dooruj McRambaccussing, 2015. "Moment Matching in the Present Value identity, and a New Model," Dundee Discussion Papers in Economics 291, Economic Studies, University of Dundee.

    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. Rambaccussing, Dooruj, 2015. "Modelling Housing Prices using a Present Value State Space Model," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-32, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    2. Rambaccussing, Dooruj, 2015. "Modelling Housing Prices using a Present Value State Space Model," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-80, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    3. Engsted, Tom & Pedersen, Thomas Q., 2014. "Housing market volatility in the OECD area: Evidence from VAR based return decompositions," Journal of Macroeconomics, Elsevier, vol. 42(C), pages 91-103.
    4. Dooruj Rambaccussing, 2021. "The price–rent ratio inequality in Scottish Cities: fluctuations in discount rates and expected rent growth," SN Business & Economics, Springer, vol. 1(9), pages 1-15, September.
    5. Engsted, Tom & Hviid, Simon J. & Pedersen, Thomas Q., 2016. "Explosive bubbles in house prices? Evidence from the OECD countries," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 40(C), pages 14-25.
    6. Renhe Liu & Eddie Chi-man Hui & Jiaqi Lv & Yi Chen, 2017. "What Drives Housing Markets: Fundamentals or Bubbles?," The Journal of Real Estate Finance and Economics, Springer, vol. 55(4), pages 395-415, November.
    7. Efthymios Pavlidis & Alisa Yusupova & Ivan Paya & David Peel & Enrique Martínez-García & Adrienne Mack & Valerie Grossman, 2016. "Episodes of Exuberance in Housing Markets: In Search of the Smoking Gun," The Journal of Real Estate Finance and Economics, Springer, vol. 53(4), pages 419-449, November.
    8. Tom Engsted, 2016. "Fama On Bubbles," Journal of Economic Surveys, Wiley Blackwell, vol. 30(2), pages 370-376, April.
    9. Basse, Tobias & Klein, Tony & Vigne, Samuel A. & Wegener, Christoph, 2021. "U.S. stock prices and the dot.com-bubble: Can dividend policy rescue the efficient market hypothesis?," Journal of Corporate Finance, Elsevier, vol. 67(C).
    10. Xie, Zixiong & Chen, Shyh-Wei & Wu, An-Chi, 2019. "Asymmetric adjustment, non-linearity and housing price bubbles: New international evidence," The North American Journal of Economics and Finance, Elsevier, vol. 50(C).
    11. Kim, Jan R. & Lim, Gieyoung, 2016. "Fundamentals and rational bubbles in the Korean housing market: A modified present-value approach," Economic Modelling, Elsevier, vol. 59(C), pages 174-181.
    12. Tsai, I-Chun & Lin, Che-Chun, 2022. "A re-examination of housing bubbles: Evidence from European countries," Economic Systems, Elsevier, vol. 46(2).
    13. Gelain, Paolo & Lansing, Kevin J., 2014. "House prices, expectations, and time-varying fundamentals," Journal of Empirical Finance, Elsevier, vol. 29(C), pages 3-25.
    14. Engsted, Tom & Pedersen, Thomas Q., 2015. "Predicting returns and rent growth in the housing market using the rent-price ratio: Evidence from the OECD countries," Journal of International Money and Finance, Elsevier, vol. 53(C), pages 257-275.
    15. Hiebert, Paul & Sydow, Matthias, 2011. "What drives returns to euro area housing? Evidence from a dynamic dividend–discount model," Journal of Urban Economics, Elsevier, vol. 70(2), pages 88-98.
    16. Jan R. Kim & Gieyoung Lim, 2018. "A look into German housing markets: A bubble call?," International Area Studies Review, Center for International Area Studies, Hankuk University of Foreign Studies, vol. 21(4), pages 289-301, December.
    17. Bergman, U. Michael & Sørensen, Peter Birch, 2021. "The interaction of actual and fundamental house prices: A general model with an application to Sweden," Journal of Housing Economics, Elsevier, vol. 54(C).
    18. Yifan Chen & Jianhua Gang & Zongxin Qian & Jinfan Zhang, 2023. "Rationality test in the housing market: Project‐level evidence from China," Journal of Regional Science, Wiley Blackwell, vol. 63(3), pages 583-616, June.
    19. Martínez-García, Enrique & Grossman, Valerie, 2020. "Explosive dynamics in house prices? An exploration of financial market spillovers in housing markets around the world," Journal of International Money and Finance, Elsevier, vol. 101(C).
    20. Ghysels, Eric & Plazzi, Alberto & Valkanov, Rossen & Torous, Walter, 2013. "Forecasting Real Estate Prices," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 2, chapter 0, pages 509-580, Elsevier.

    More about this item

    Keywords

    Price-Rent Ratio; Present Value; State Space;
    All these keywords.

    JEL classification:

    • R31 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Housing Supply and Markets
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:dun:dpaper:285. 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: Andrzej Kwiatkowski (email available below). General contact details of provider: https://edirc.repec.org/data/dedunuk.html .

    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.