IDEAS home Printed from https://ideas.repec.org/a/spr/italej/v11y2025i1d10.1007_s40797-023-00259-x.html
   My bibliography  Save this article

Bayesian Inference in a Structural Model of Family Home Prices

Author

Listed:
  • Gian Maria Tomat

    (Bank of Italy)

Abstract

We review the implications of an intertemporal representative consumer model for the analysis of housing prices, describing the choice between non-housing and housing consumption, and provide an explanation for the excess return of housing over the riskless rate based on weakly separable preferences. Further considerations are presented regarding the role of liquidity constraints. A Bayesian structural vector autoregression predicts relations between real rent growth, interest rates and housing prices consistently with the representative consumer model. The orthogonalized impulse response functions show, that housing prices are relatively unresponsive to shocks to fundamental value. The logarithmic rent/price ratio increases or does not significantly change following shocks to the real rent growth and relative bill rates. The dynamics of housing prices over the business cycle is mainly determined by financial factors. A shock to the natural logarithm of the rent/price ratio does not have significant predictive properties for subsequent real rent growth and relative bill rates. Moreover, the logarithmic rent/price ratio is a highly persistent variable displaying momentum and long term reversal.

Suggested Citation

  • Gian Maria Tomat, 2025. "Bayesian Inference in a Structural Model of Family Home Prices," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 11(1), pages 403-429, March.
  • Handle: RePEc:spr:italej:v:11:y:2025:i:1:d:10.1007_s40797-023-00259-x
    DOI: 10.1007/s40797-023-00259-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40797-023-00259-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s40797-023-00259-x?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. Blanchard, Olivier Jean & Quah, Danny, 1989. "The Dynamic Effects of Aggregate Demand and Supply Disturbances," American Economic Review, American Economic Association, vol. 79(4), pages 655-673, September.
    2. John Y. Campbell & João F. Cocco, 2003. "Household Risk Management and Optimal Mortgage Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(4), pages 1449-1494.
    3. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-1248, September.
    4. 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.
    5. 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.
    6. Piazzesi, Monika & Schneider, Martin & Tuzel, Selale, 2007. "Housing, consumption and asset pricing," Journal of Financial Economics, Elsevier, vol. 83(3), pages 531-569, March.
    7. Juan F. Rubio-Ramírez & Daniel F. Waggoner & Tao Zha, 2010. "Structural Vector Autoregressions: Theory of Identification and Algorithms for Inference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 665-696.
    8. Shiller, Robert J. & Wojakowski, Rafal M. & Ebrahim, M. Shahid & Shackleton, Mark B., 2019. "Continuous Workout Mortgages: Efficient pricing and systemic implications," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 244-274.
    9. repec:zbw:bofrdp:2018_014 is not listed on IDEAS
    10. John Y. Campbell & N. Gregory Mankiw, 1989. "Consumption, Income, and Interest Rates: Reinterpreting the Time Series Evidence," NBER Chapters, in: NBER Macroeconomics Annual 1989, Volume 4, pages 185-246, National Bureau of Economic Research, Inc.
    11. repec:fth:harver:1435 is not listed on IDEAS
    12. Jordi Gali, 1999. "Technology, Employment, and the Business Cycle: Do Technology Shocks Explain Aggregate Fluctuations?," American Economic Review, American Economic Association, vol. 89(1), pages 249-271, March.
    13. Baumeister, Christiane & Hamilton, James D., 2018. "Inference in structural vector autoregressions when the identifying assumptions are not fully believed: Re-evaluating the role of monetary policy in economic fluctuations," Journal of Monetary Economics, Elsevier, vol. 100(C), pages 48-65.
    14. Sims, Christopher A & Zha, Tao, 1998. "Bayesian Methods for Dynamic Multivariate Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 949-968, November.
    15. Baumeister, Christiane & Hamilton, James D., 2018. "Inference in structural vector autoregressions when the identifying assumptions are not fully believed: Re-evaluating the role of monetary policy in economic fluctuations," Journal of Monetary Economics, Elsevier, vol. 100(C), pages 48-65.
    16. Litterman, Robert B, 1986. "Forecasting with Bayesian Vector Autoregressions-Five Years of Experience," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(1), pages 25-38, January.
    17. Christiane Baumeister & James D. Hamilton, 2015. "Sign Restrictions, Structural Vector Autoregressions, and Useful Prior Information," Econometrica, Econometric Society, vol. 83(5), pages 1963-1999, September.
    18. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-262, April.
    19. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-732, May.
    20. Rajnish Mehra, 2003. "The Equity Premium: Why is it a Puzzle?," NBER Working Papers 9512, National Bureau of Economic Research, Inc.
    21. Jonas E. Arias & Juan F. Rubio‐Ramírez & Daniel F. Waggoner, 2018. "Inference Based on Structural Vector Autoregressions Identified With Sign and Zero Restrictions: Theory and Applications," Econometrica, Econometric Society, vol. 86(2), pages 685-720, March.
    22. Rajnish Mehra, 2003. "The Equity Premium: Why Is It a Puzzle? (corrected)," Financial Analysts Journal, Taylor & Francis Journals, vol. 59(1), pages 54-69, January.
    Full references (including those not matched with items on IDEAS)

    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. Szafranek, Karol & Szafrański, Grzegorz & Leszczyńska-Paczesna, Agnieszka, 2024. "Inflation returns. Revisiting the role of external and domestic shocks with Bayesian structural VAR," International Review of Economics & Finance, Elsevier, vol. 93(PA), pages 789-810.
    2. Gabor Pinter, 2018. "Macroeconomic Shocks and Risk Premia," Discussion Papers 1812, Centre for Macroeconomics (CFM).
    3. Stock, J.H. & Watson, M.W., 2016. "Dynamic Factor Models, Factor-Augmented Vector Autoregressions, and Structural Vector Autoregressions in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 415-525, Elsevier.
    4. Kilian, Lutz, 2022. "Facts and fiction in oil market modeling," Energy Economics, Elsevier, vol. 110(C).
    5. Agostino Consolo & Claudia Foroni & Catalina Martínez Hernández, 2023. "A Mixed Frequency BVAR for the Euro Area Labour Market," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 85(5), pages 1048-1082, October.
    6. Giacomini, Raffaella & Kitagawa, Toru & Read, Matthew, 2022. "Robust Bayesian inference in proxy SVARs," Journal of Econometrics, Elsevier, vol. 228(1), pages 107-126.
    7. Rampini, Adriano A. & Viswanathan, S., 2018. "Financing Insurance," CEPR Discussion Papers 12855, C.E.P.R. Discussion Papers.
    8. Canova, Fabio & Ferroni, Filippo, 2020. "A hitchhiker guide to empirical macro models," CEPR Discussion Papers 15446, C.E.P.R. Discussion Papers.
    9. Herwartz, Helmut & Wang, Shu, 2023. "Point estimation in sign-restricted SVARs based on independence criteria with an application to rational bubbles," Journal of Economic Dynamics and Control, Elsevier, vol. 151(C).
    10. Martin Bruns & Michele Piffer, 2023. "A new posterior sampler for Bayesian structural vector autoregressive models," Quantitative Economics, Econometric Society, vol. 14(4), pages 1221-1250, November.
    11. Wenli Li & Rui Yao, 2007. "The Life‐Cycle Effects of House Price Changes," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(6), pages 1375-1409, September.
    12. Janine Aron & John Muellbauer, 2006. "Housing Wealth, Credit Conditions and Consumption," CSAE Working Paper Series 2006-08, Centre for the Study of African Economies, University of Oxford.
    13. Carriero, Andrea & Marcellino, Massimiliano & Tornese, Tommaso, 2024. "Blended identification in structural VARs," Journal of Monetary Economics, Elsevier, vol. 146(C).
    14. Nobuhiro Kiyotaki & Alexander Michaelides & Kalin Nikolov, 2011. "Winners and Losers in Housing Markets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 255-296, March.
    15. Robin Braun & Ralf Brüggemann, 2017. "Identification of SVAR Models by Combining Sign Restrictions With External Instruments," Working Paper Series of the Department of Economics, University of Konstanz 2017-07, Department of Economics, University of Konstanz.
    16. Raffaella Giacomini & Toru Kitagawa & Matthew Read, 2021. "Identification and Inference Under Narrative Restrictions," Papers 2102.06456, arXiv.org.
    17. Atsushi Inoue & Lutz Kilian, 2020. "The Role of the Prior in Estimating VAR Models with Sign Restrictions," Working Papers 2030, Federal Reserve Bank of Dallas.
    18. Piazzesi, M. & Schneider, M., 2016. "Housing and Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1547-1640, Elsevier.
    19. Sousa, Ricardo M., 2010. "Consumption, (dis)aggregate wealth, and asset returns," Journal of Empirical Finance, Elsevier, vol. 17(4), pages 606-622, September.
    20. Deskar-Škrbić, Milan & Kotarac, Karlo & Kunovac, Davor, 2020. "The third round of euro area enlargement: Are the candidates ready?," Journal of International Money and Finance, Elsevier, vol. 107(C).

    More about this item

    Keywords

    Real activity; Stochastic discount factor; Volatility; Bayesian vector autoregression;
    All these keywords.

    JEL classification:

    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    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:spr:italej:v:11:y:2025:i:1:d:10.1007_s40797-023-00259-x. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.