IDEAS home Printed from https://ideas.repec.org/a/vrs/remava/v31y2023i3p83-92n4.html
   My bibliography  Save this article

Estimation of the Utility Function of Money and Housing Based on the Cumulative Prospect Theory

Author

Listed:
  • Brzezicka Justyna

    (1 Department of Spatial Analysis and Real Estate Market, University of Warmia and Mazury in Olsztyn, ul.Oczapowskiego 1, 10-724 Olsztyn, Poland)

  • Tomal Mateusz

    (2 Department of Real Estate and Investment Economics, Cracow University of Economics, Cracow, Poland)

Abstract

This article addresses the issue of the utility of money and the utility of housing with a value equivalent to that amount of money. The literature provides many reports on the shape of the utility function for money, but much less research has been devoted to the utility function for housing. The aim of this study was to estimate the utility function of money and housing according to the cumulative prospect theory (CPT) developed by Tversky and Kahneman (1992). Parameters alpha (α), beta (β), and lambda (λ) were estimated to compare the utility value of money and housing. The most important conclusions of the study are as follows: parameters alpha and beta were greater than 0 and less than 1 for both housing and money. Function v(x) was concave in the gain domain and convex in the loss domain, which is consistent with the CPT. The differences in the lambda parameter denoting loss aversion were not significant, and the value of the utility function was somewhat higher for money than for housing. This study was undertaken to estimate the CPT parameters for housing, which, according to the authors’ best knowledge, has not been investigated to date.

Suggested Citation

  • Brzezicka Justyna & Tomal Mateusz, 2023. "Estimation of the Utility Function of Money and Housing Based on the Cumulative Prospect Theory," Real Estate Management and Valuation, Sciendo, vol. 31(3), pages 83-92, September.
    • Handle: RePEc:vrs:remava:v:31:y:2023:i:3:p:83-92:n:4
    DOI: 10.2478/remav-2023-0024
    as

    Download full text from publisher

    File URL: https://doi.org/10.2478/remav-2023-0024
    Download Restriction: no
    File URL: https://libkey.io/10.2478/remav-2023-0024?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
    ---><---

    References listed on IDEAS

    as
    1. Julian Diaz, 1999. "The first decade of behavioral research in the discipline of property," Journal of Property Investment & Finance, Emerald Group Publishing Limited, vol. 17(4), pages 326-332, October.
    2. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    3. Moshe Levy & Haim Levy, 2013. "Prospect Theory: Much Ado About Nothing?," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 7, pages 129-144, World Scientific Publishing Co. Pte. Ltd..
    4. George Wu & Richard Gonzalez, 1996. "Curvature of the Probability Weighting Function," Management Science, INFORMS, vol. 42(12), pages 1676-1690, December.
    5. Mateusz Tomal, 2021. "Modelling the Impact of Different COVID-19 Pandemic Waves on Real Estate Stock Returns and Their Volatility Using a GJR-GARCHX Approach: An International Perspective," JRFM, MDPI, vol. 14(8), pages 1-8, August.
    6. Gurevich, Gregory & Kliger, Doron & Levy, Ori, 2009. "Decision-making under uncertainty - A field study of cumulative prospect theory," Journal of Banking & Finance, Elsevier, vol. 33(7), pages 1221-1229, July.
    7. Marjorie Flavin & Takashi Yamashita, 2002. "Owner-Occupied Housing and the Composition of the Household Portfolio," American Economic Review, American Economic Association, vol. 92(1), pages 345-362, March.
    8. Stephan Grzeskowiak & M. Sirgy & Dong-Jin Lee & C. Claiborne, 2006. "Housing Well-Being: Developing and Validating a Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 79(3), pages 503-541, December.
    9. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
    10. Brzezicka, Justyna & Wisniewski, Radoslaw & Figurska, Marta, 2018. "Disequilibrium in the real estate market: Evidence from Poland," Land Use Policy, Elsevier, vol. 78(C), pages 515-531.
    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. Jakusch, Sven Thorsten, 2017. "On the applicability of maximum likelihood methods: From experimental to financial data," SAFE Working Paper Series 148, Leibniz Institute for Financial Research SAFE, revised 2017.
    2. Jakusch, Sven Thorsten & Meyer, Steffen & Hackethal, Andreas, 2019. "Taming models of prospect theory in the wild? Estimation of Vlcek and Hens (2011)," SAFE Working Paper Series 146, Leibniz Institute for Financial Research SAFE, revised 2019.
    3. W. Wong & R. Chan, 2008. "Prospect and Markowitz stochastic dominance," Annals of Finance, Springer, vol. 4(1), pages 105-129, January.
    4. Peter Brooks & Simon Peters & Horst Zank, 2014. "Risk behavior for gain, loss, and mixed prospects," Theory and Decision, Springer, vol. 77(2), pages 153-182, August.
    5. Salvatore Greco & Fabio Rindone, 2014. "The bipolar Choquet integral representation," Theory and Decision, Springer, vol. 77(1), pages 1-29, June.
    6. George Wu & Alex B. Markle, 2008. "An Empirical Test of Gain-Loss Separability in Prospect Theory," Management Science, INFORMS, vol. 54(7), pages 1322-1335, July.
    7. M. Levy, 2010. "Loss aversion and the price of risk," Quantitative Finance, Taylor & Francis Journals, vol. 10(9), pages 1009-1022.
    8. Haim Levy & Moshe Levy, 2021. "Prospect theory, constant relative risk aversion, and the investment horizon," PLOS ONE, Public Library of Science, vol. 16(4), pages 1-21, April.
    9. George Wu & Jiao Zhang & Mohammed Abdellaoui, 2005. "Testing Prospect Theories Using Probability Tradeoff Consistency," Journal of Risk and Uncertainty, Springer, vol. 30(2), pages 107-131, January.
    10. Bosch-Domènech, Antoni & Silvestre, Joaquim, 2010. "Averting risk in the face of large losses: Bernoulli vs. Tversky and Kahneman," Economics Letters, Elsevier, vol. 107(2), pages 180-182, May.
    11. Arjun Chatrath & Rohan A. Christie‐David & Hong Miao & Sanjay Ramchander, 2019. "Losers and prospectors in the short‐term options market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 39(6), pages 721-743, June.
    12. Zhong, Xiaoling & Wang, Junbo, 2018. "Prospect theory and corporate bond returns: An empirical study," Journal of Empirical Finance, Elsevier, vol. 47(C), pages 25-48.
    13. Michael H. Birnbaum, 2005. "Three New Tests of Independence That Differentiate Models of Risky Decision Making," Management Science, INFORMS, vol. 51(9), pages 1346-1358, September.
    14. Francesco Cesarone & Massimiliano Corradini & Lorenzo Lampariello & Jessica Riccioni, 2023. "A new behavioral model for portfolio selection using the Half-Full/Half-Empty approach," Papers 2312.10749, arXiv.org.
    15. Filiz-Ozbay, Emel & Guryan, Jonathan & Hyndman, Kyle & Kearney, Melissa & Ozbay, Erkut Y., 2015. "Do lottery payments induce savings behavior? Evidence from the lab," Journal of Public Economics, Elsevier, vol. 126(C), pages 1-24.
    16. Mohammed Abdellaoui & Olivier L’Haridon & Horst Zank, 2010. "Separating curvature and elevation: A parametric probability weighting function," Journal of Risk and Uncertainty, Springer, vol. 41(1), pages 39-65, August.
    17. Hamza Bahaji, 2011. "Incentives from stock option grants: a behavioral approach," Post-Print halshs-00681607, HAL.
    18. Ariane Charpin, 2018. "Tests des modèles de décision en situation de risque. Le cas des parieurs hippiques en France," Revue économique, Presses de Sciences-Po, vol. 69(5), pages 779-803.
    19. Dichtl, Hubert & Drobetz, Wolfgang, 2011. "Portfolio insurance and prospect theory investors: Popularity and optimal design of capital protected financial products," Journal of Banking & Finance, Elsevier, vol. 35(7), pages 1683-1697, July.
    20. repec:dau:papers:123456789/2319 is not listed on IDEAS
    21. LiCalzi, Marco & Sorato, Annamaria, 2006. "The Pearson system of utility functions," European Journal of Operational Research, Elsevier, vol. 172(2), pages 560-573, July.

    More about this item

    Keywords

    Utility function; cumulative prospect theory; certainty equivalent; housing;
    All these keywords.

    JEL classification:

    • C93 - Mathematical and Quantitative Methods - - Design of Experiments - - - Field Experiments
    • D10 - Microeconomics - - Household Behavior - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • R21 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Housing Demand
    • R29 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Other

    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:vrs:remava:v:31:y:2023:i:3:p:83-92:n:4. 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: Peter Golla (email available below). General contact details of provider: https://www.sciendo.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.