[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/12122.html
   My bibliography  Save this paper

S-shaped utility, subprime crash and the black swan

Author

Listed:
  • de Farias Neto, Joao Jose
Abstract
I propose an S-shaped utility function of consumption which, combined with an heterogeneous agents and external habit setting, fits well the first order moments of the American financial and macroeconomic time series relevant for the equity premium puzzle in the second half of XX century. The average relative risk aversion of the agents remains in the 0-3 range. A "black swan"-kind phenomenon makes two of the 50 years considered (the two oil shocks) responsible for half the average of the stochastic discount factor, thus bringing the annual subjective discount factor to a very low level, around 0.5, which solves the risk-free puzzle. The shape of the relative risk aversion function of consumption suggests an explanation for the 2008 suprime crash akin to the breaking of waves on a beach in a lifecycle overlapping generations model.

Suggested Citation

  • de Farias Neto, Joao Jose, 2008. "S-shaped utility, subprime crash and the black swan," MPRA Paper 12122, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:12122
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/12122/1/MPRA_paper_12122.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Harry Markowitz, 1952. "The Utility of Wealth," Journal of Political Economy, University of Chicago Press, vol. 60(2), pages 151-151.
    2. Neilson, William S, 2002. "Comparative Risk Sensitivity with Reference-Dependent Preferences," Journal of Risk and Uncertainty, Springer, vol. 24(2), pages 131-142, March.
    3. Nick Netzer, 2009. "Evolution of Time Preferences and Attitudes toward Risk," American Economic Review, American Economic Association, vol. 99(3), pages 937-955, June.
    4. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
    5. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    6. Haim Levy & Enrico De Giorgi & Thorsten Hens, "undated". "Two Paradigms and Nobel Prizes in Economics: A Contradiction or Coexistence?," IEW - Working Papers 161, Institute for Empirical Research in Economics - University of Zurich.
    7. Haim Levy, 2004. "Prospect Theory and Mean-Variance Analysis," The Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 1015-1041.
    8. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    9. Hagströmer, Björn & Anderson, Richard G. & Binner, Jane & Elger, Thomas & Nilsson, Birger, 2007. "Mean-Variance vs. Full-Scale Optimization: Broad Evidence for the UK," Working Papers 2008:1, Lund University, Department of Economics.
    10. Cysne, Rubens Penha, 2005. "Equity-premium puzzle: evidence from Brazilian data," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 586, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    11. Shlomo Benartzi & Richard H. Thaler, 1995. "Myopic Loss Aversion and the Equity Premium Puzzle," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 73-92.
    12. A. Drăgulescu & V.M. Yakovenko, 2001. "Evidence for the exponential distribution of income in the USA," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 20(4), pages 585-589, April.
    13. Friedman, Daniel, 1989. "The S-Shaped Value Function as a Constrained Optimum," American Economic Review, American Economic Association, vol. 79(5), pages 1243-1248, December.
    14. Jonathan A. Parker & Christian Julliard, 2005. "Consumption Risk and the Cross Section of Expected Returns," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 185-222, February.
    15. Husby, Ralph D, 1971. "A Nonlinear Consumption Function Estimated from Time-Series and Cross-Section Data," The Review of Economics and Statistics, MIT Press, vol. 53(1), pages 76-79, February.
    16. Sergiy Gerasymchuk, 2008. "Asset return and wealth dynamics with reference dependent preferences and heterogeneous beliefs," Working Papers 160, Department of Applied Mathematics, Università Ca' Foscari Venezia.
    17. Andrew B. Abel, 2006. "Equity Premia with Benchmark Levels of Consumption: Closed-Form Results," NBER Working Papers 12290, National Bureau of Economic Research, Inc.
    18. Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56(4), pages 279-279.
    19. Sergiy Gerasymchuk, 2007. "Mean-Variance Portfolio Selection with Reference Dependent Preferences," Working Papers 150, Department of Applied Mathematics, Università Ca' Foscari Venezia.
    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 & 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.
    2. Coelho, Philip R. P. & McClure, James E., 1998. "Social context and the utility of wealth: Addressing the Markowitz challenge," Journal of Economic Behavior & Organization, Elsevier, vol. 37(3), pages 305-314, November.
    3. Ghossoub, Mario, 2011. "Towards a Purely Behavioral Definition of Loss Aversion," MPRA Paper 37628, University Library of Munich, Germany, revised 23 Mar 2012.
    4. W. Wong & R. Chan, 2008. "Prospect and Markowitz stochastic dominance," Annals of Finance, Springer, vol. 4(1), pages 105-129, January.
    5. Hooi Hooi Lean & Michael McAleer & Wing-Keung Wong, 2013. "Risk-averse and Risk-seeking Investor Preferences for Oil Spot and Futures," Documentos de Trabajo del ICAE 2013-31, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico, revised Aug 2013.
    6. Bowman, David & Minehart, Deborah & Rabin, Matthew, 1999. "Loss aversion in a consumption-savings model," Journal of Economic Behavior & Organization, Elsevier, vol. 38(2), pages 155-178, February.
    7. Jacobs Martin, 2016. "Accounting for Changing Tastes: Approaches to Explaining Unstable Individual Preferences," Review of Economics, De Gruyter, vol. 67(2), pages 121-183, August.
    8. Levy, Moshe, 2022. "An inter-temporal CAPM based on First order Stochastic Dominance," European Journal of Operational Research, Elsevier, vol. 298(2), pages 734-739.
    9. Pavlo R. Blavatskyy, "undated". "A Stochastic Expected Utility Theory," IEW - Working Papers 231, Institute for Empirical Research in Economics - University of Zurich.
    10. Matthew Rabin & Richard H. Thaler, 2013. "Anomalies: Risk aversion," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 27, pages 467-480, World Scientific Publishing Co. Pte. Ltd..
    11. David Hirshleifer, 2001. "Investor Psychology and Asset Pricing," Journal of Finance, American Finance Association, vol. 56(4), pages 1533-1597, August.
    12. Adam Eric Greenberg, 2013. "When imagining future wealth influences risky decision making," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 8(3), pages 268-277, May.
    13. Ephraim Clark & Zhuo Qiao & Wing-Keung Wong, 2016. "Theories Of Risk: Testing Investor Behavior On The Taiwan Stock And Stock Index Futures Markets," Economic Inquiry, Western Economic Association International, vol. 54(2), pages 907-924, April.
    14. MatthewD. Rablen, 2008. "Relativity, Rank and the Utility of Income," Economic Journal, Royal Economic Society, vol. 118(528), pages 801-821, April.
    15. Moshe Levy, 2022. "An evolutionary explanation of the Allais paradox," Journal of Evolutionary Economics, Springer, vol. 32(5), pages 1545-1574, November.
    16. Hanqing Jin & Xun Yu Zhou, 2008. "Behavioral Portfolio Selection In Continuous Time," Mathematical Finance, Wiley Blackwell, vol. 18(3), pages 385-426, July.
    17. Marie-Hélène Broihanne & Maxime Merli & Patrick Roger, 2006. "Théorie comportementale du portefeuille. Intérêt et limites," Revue économique, Presses de Sciences-Po, vol. 57(2), pages 297-314.
    18. Olapeju Comfort Ogunmokun & Oluwasoye P. Mafimisebi & Demola Obembe, 2023. "Prospect theory and bank credit risk decision-making behaviour: a systematic literature review and future research agenda," SN Business & Economics, Springer, vol. 3(4), pages 1-25, April.
    19. Marcela Ibanez & Sebastian O. Schneider, 2021. "Income Risk, Precautionary Saving, and Loss Aversion – An Empirical Test," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2021_06, Max Planck Institute for Research on Collective Goods.
    20. Cumova, Denisa & Nawrocki, David, 2014. "Portfolio optimization in an upside potential and downside risk framework," Journal of Economics and Business, Elsevier, vol. 71(C), pages 68-89.

    More about this item

    Keywords

    financial puzzles; subprime crash; black swan; S-shaped utility;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy

    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:pra:mprapa:12122. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.