IDEAS home Printed from https://ideas.repec.org/a/bla/jecrev/v57y2006i3p377-405.html
   My bibliography  Save this article

Heterogeneous Risk Attitudes In A Continuous‐Time Model

Author

Listed:
  • CHIAKI HARA

Abstract

We prove that every continuous‐time model in which all consumers have time‐homogeneous and time‐additive utility functions and share a common probabilistic belief and a common discount rate can be reduced to a static model. This result allows us to extend some of the existing results of the representative consumer and risk‐sharing rules in static models to continuous‐time models. We show that the equilibrium interest rate is lower and more volatile than in the standard representative consumer economy, and that the individual consumption growth rates are more dispersed than in the absence of uncertainty.

Suggested Citation

  • Chiaki Hara, 2006. "Heterogeneous Risk Attitudes In A Continuous‐Time Model," The Japanese Economic Review, Japanese Economic Association, vol. 57(3), pages 377-405, September.
    • Handle: RePEc:bla:jecrev:v:57:y:2006:i:3:p:377-405
    DOI: 10.1111/j.1468-5876.2006.00377.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1468-5876.2006.00377.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1468-5876.2006.00377.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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    2. Basak, Suleyman & Cuoco, Domenico, 1998. "An Equilibrium Model with Restricted Stock Market Participation," The Review of Financial Studies, Society for Financial Studies, vol. 11(2), pages 309-341.
    3. repec:dau:papers:123456789/6105 is not listed on IDEAS
    4. Weil, Philippe, 1992. "Equilibrium asset prices with undiversifiable labor income risk," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 769-790.
    5. Kohara, Miki & Ohtake, Fumio & Saito, Makoto, 2002. "A Test of the Full Insurance Hypothesis: The Case of Japan," Journal of the Japanese and International Economies, Elsevier, vol. 16(3), pages 335-352, September.
    6. Townsend, Robert M, 1994. "Risk and Insurance in Village India," Econometrica, Econometric Society, vol. 62(3), pages 539-591, May.
    7. Hara, Chiaki & Huang, James & Kuzmics, Christoph, 2007. "Representative consumer's risk aversion and efficient risk-sharing rules," Journal of Economic Theory, Elsevier, vol. 137(1), pages 652-672, November.
    8. Ogaki, Masao & Zhang, Qiang, 2001. "Decreasing Relative Risk Aversion and Tests of Risk Sharing," Econometrica, Econometric Society, vol. 69(2), pages 515-526, March.
    9. Magill, Michael & Quinzii, Martine, 1996. "Incomplete markets over an infinite horizon: Long-lived securities and speculative bubbles," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 133-170.
    10. ,, 2007. "Two-fund separation in dynamic general equilibrium," Theoretical Economics, Econometric Society, vol. 2(2), June.
    11. Laurent Calvet & Jean-Michel Grandmont & Isabelle Lemaire, 2001. "Aggregation of Heterogenous Beliefs and Asset Pricing in Complete Financial Markets," Working Papers 2001-01, Center for Research in Economics and Statistics.
    12. Kurosaki, Takashi, 2001. "Consumption Smoothing and the Structure of Risk and Time Preferences:Theory and Evidence from Village India," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 42(2), pages 103-117, December.
    13. Christian Gollier, 2001. "Wealth Inequality and Asset Pricing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(1), pages 181-203.
    14. Mace, Barbara J, 1991. "Full Insurance in the Presence of Aggregate Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 928-956, October.
    15. Epstein, Larry G. & Miao, Jianjun, 2003. "A two-person dynamic equilibrium under ambiguity," Journal of Economic Dynamics and Control, Elsevier, vol. 27(7), pages 1253-1288, May.
    16. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    17. Chiaki Hara & James Huang & Christoph Kuzmics, 2006. "Efficient Risk-Sharing Rules with Heterogeneous Risk Attitudes and Background Risks," KIER Working Papers 621, Kyoto University, Institute of Economic Research.
    18. Dumas, Bernard, 1989. "Two-Person Dynamic Equilibrium in the Capital Market," The Review of Financial Studies, Society for Financial Studies, vol. 2(2), pages 157-188.
    19. Cochrane, John H, 1991. "A Simple Test of Consumption Insurance," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 957-976, October.
    20. Christian Gollier & Richard Zeckhauser, 2005. "Aggregation of Heterogeneous Time Preferences," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 878-896, August.
    21. LeRoy,Stephen F. & Werner,Jan, 2014. "Principles of Financial Economics," Cambridge Books, Cambridge University Press, number 9781107024120, February.
    22. Jiang, Wang, 1996. "The term structure of interest rates in a pure exchange economy with heterogeneous investors," Journal of Financial Economics, Elsevier, vol. 41(1), pages 75-110, May.
    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. Hara, Chiaki & 原, 千秋 & ハラ, チアキ, 2008. "Heterogeneous Impatience in a Continuous-Time Model," PIE/CIS Discussion Paper 396, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    2. Hara, Chiaki, 2008. "Complete monotonicity of the representative consumer's discount factor," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1321-1331, December.
    3. Hara, Chiaki & Huang, James & Kuzmics, Christoph, 2007. "Representative consumer's risk aversion and efficient risk-sharing rules," Journal of Economic Theory, Elsevier, vol. 137(1), pages 652-672, November.
    4. Bjarne Astrup Jensen & Jørgen Aase Nielsen, 2016. "How suboptimal are linear sharing rules?," Annals of Finance, Springer, vol. 12(2), pages 221-243, May.
    5. Chiaki Hara & James Huang & Christoph Kuzmics, 2006. "Efficient Risk-Sharing Rules with Heterogeneous Risk Attitudes and Background Risks," KIER Working Papers 621, Kyoto University, Institute of Economic Research.

    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. Hara, Chiaki & Huang, James & Kuzmics, Christoph, 2007. "Representative consumer's risk aversion and efficient risk-sharing rules," Journal of Economic Theory, Elsevier, vol. 137(1), pages 652-672, November.
    2. Pierre‐André Chiappori & Krislert Samphantharak & Sam Schulhofer‐Wohl & Robert M. Townsend, 2014. "Heterogeneity and risk sharing in village economies," Quantitative Economics, Econometric Society, vol. 5, pages 1-27, March.
    3. Athreya, Kartik B., 2014. "Big Ideas in Macroeconomics: A Nontechnical View," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019736, April.
    4. Santos, Tano & Veronesi, Pietro, 2022. "Leverage," Journal of Financial Economics, Elsevier, vol. 145(2), pages 362-386.
    5. Muhammet Fatih Guvenen, 2000. "Does Stockholding Provide Perfect Risk Sharing?," GSIA Working Papers 2000-E48, Carnegie Mellon University, Tepper School of Business.
    6. Kris Jacobs & Kevin Q. Wang, 2002. "Idiosyncratic Consumption Risk and the Cross-Section of Asset Returns," CIRANO Working Papers 2002s-11, CIRANO.
    7. Stavros Panageas & Nicolae Garleanu, 2008. "Yooung, Old, Conservative and Bold: The implications of finite lives and heterogeneity for asset prices," 2008 Meeting Papers 409, Society for Economic Dynamics.
    8. Tran, Ngoc-Khanh & Zeckhauser, Richard J., 2011. "The Behavior of Savings and Asset Prices When Preferences and Beliefs Are Heterogeneous," Working Paper Series rwp11-026, Harvard University, John F. Kennedy School of Government.
    9. Chabakauri, Georgy, 2010. "Asset pricing with heterogeneous investors and portfolio constraints," LSE Research Online Documents on Economics 43142, London School of Economics and Political Science, LSE Library.
    10. Alexis Akira Toda & Kieran James Walsh & Stijn Van Nieuwerburgh, 2020. "The Equity Premium and the One Percent," The Review of Financial Studies, Society for Financial Studies, vol. 33(8), pages 3583-3623.
    11. Harjoat S. Bhamra & Raman Uppal, 2014. "Asset Prices with Heterogeneity in Preferences and Beliefs," The Review of Financial Studies, Society for Financial Studies, vol. 27(2), pages 519-580.
    12. Chan, Kenneth S. & Lai, Jennifer T. & Yan, Isabel K.M., 2014. "Consumption risk sharing and self-insurance across provinces in China: 1952–2008," China Economic Review, Elsevier, vol. 30(C), pages 66-85.
    13. Maurizio Mazzocco & Shiv Saini, 2012. "Testing Efficient Risk Sharing with Heterogeneous Risk Preferences," American Economic Review, American Economic Association, vol. 102(1), pages 428-468, February.
    14. Veronesi, Pietro & Santos, Tano, 2016. "Habits and Leverage," CEPR Discussion Papers 11681, C.E.P.R. Discussion Papers.
    15. Mengus, Eric & Roberto Pancrazi, 2015. "The Inequality Accelerator," Economic Research Papers 270216, University of Warwick - Department of Economics.
    16. Digvijay S. Negi & Christopher B. Barrett, 2024. "Consumption Smoothing, Commodity Markets, and Informal Transfers," Working Papers 116, Ashoka University, Department of Economics.
    17. Mehra, Rajnish & Prescott, Edward C., 2003. "The equity premium in retrospect," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 14, pages 889-938, Elsevier.
    18. Sarolta Laczo, 2010. "Estimating Dynamic Contracts: Risk Sharing in Village Economies," 2010 Meeting Papers 687, Society for Economic Dynamics.
    19. Jaramillo, Fernando & Kempf, Hubert & Moizeau, Fabien, 2015. "Heterogeneity and the formation of risk-sharing coalitions," Journal of Development Economics, Elsevier, vol. 114(C), pages 79-96.
    20. Khan, Aubhik & Ravikumar, B., 2001. "Growth and risk-sharing with private information," Journal of Monetary Economics, Elsevier, vol. 47(3), pages 499-521, June.

    More about this item

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • 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
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

    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:bla:jecrev:v:57:y:2006:i:3:p:377-405. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/jeaaaea.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.