Nothing Special   »   [go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/hit/piedp2/323.html
   My bibliography  Save this paper

Representative Consumer's Risk Aversion and Efficient Risk-Sharing Rules

Author

Listed:
  • Hara, Chiaki
  • 原, 千秋
  • ハラ, チアキ
  • Huang, James
  • Kuzmics, Christoph
Abstract
We study the representative consumer's risk attitude and efficient risk-sharing rules in a singleperiod, single-good economy in which consumers have homogeneous probabilistic beliefs but heterogeneous risk attitudes. We prove that if all consumers have convex absolute risk tolerance, so must the representative consumer. We also identify a relationship between the curvature of an individual consumer's individual risk sharing rule and his absolute cautiousness, the first derivative of absolute risk-tolerance. Furthermore, we discuss some consequences of these results and refinements of these results for the class of HARA utility functions.

Suggested Citation

  • Hara, Chiaki & 原, 千秋 & ハラ, チアキ & Huang, James & Kuzmics, Christoph, 2007. "Representative Consumer's Risk Aversion and Efficient Risk-Sharing Rules," Discussion Paper 323, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    • Handle: RePEc:hit:piedp2:323
    Note: November 6, 2006
    as

    Download full text from publisher

    File URL: https://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/14542/pie_dp323.pdf
    Download Restriction: no
    ---><---

    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. Robert B. Barsky & Miles S. Kimball & F. Thomas Juster & Matthew D. Shapiro, 1995. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Survey," NBER Working Papers 5213, National Bureau of Economic Research, Inc.
    3. 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.
    4. Günter Franke & Richard C. Stapleton & Marti G. Subrahmanyam, 1999. "When are Options Overpriced? The Black—Scholes Model and Alternative Characterisations of the Pricing Kernel," Review of Finance, European Finance Association, vol. 3(1), pages 79-102.
    5. Yeung Lewis Chan & Leonid Kogan, 2002. "Catching Up with the Joneses: Heterogeneous Preferences and the Dynamics of Asset Prices," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1255-1285, December.
    6. Olivier J. Blanchard, 1993. "Movements in the Equity Premium," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 24(2), pages 75-138.
    7. Brennan, M.J. & Solanki, R., 1981. "Optimal Portfolio Insurance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(3), pages 279-300, September.
    8. Christian Gollier, 2001. "Wealth Inequality and Asset Pricing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(1), pages 181-203.
    9. Ait-Sahalia, Yacine & Lo, Andrew W., 2000. "Nonparametric risk management and implied risk aversion," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 9-51.
    10. James Huang, 2003. "Impact of Divergent Consumer Confidence on Option Prices," Review of Derivatives Research, Springer, vol. 6(3), pages 165-177, October.
    11. Leland, Hayne E, 1980. "Who Should Buy Portfolio Insurance?," Journal of Finance, American Finance Association, vol. 35(2), pages 581-594, May.
    12. Gollier, Christian & Zeckhauser, Richard J, 2002. "Horizon Length and Portfolio Risk," Journal of Risk and Uncertainty, Springer, vol. 24(3), pages 195-212, May.
    13. 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.
    14. Guiso, Luigi & Jappelli, Tullio & Terlizzese, Daniele, 1996. "Income Risk, Borrowing Constraints, and Portfolio Choice," American Economic Review, American Economic Association, vol. 86(1), pages 158-172, March.
    15. Robert B. Barsky & F. Thomas Juster & Miles S. Kimball & Matthew D. Shapiro, 1997. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Study," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 537-579.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614, Elsevier.
    23. Benninga, Simon & Mayshar, Joram, 2000. "Heterogeneity and option pricing," Research Report 00E08, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    24. Ravi Jagannathan & Ellen R. McGrattan & Anna Scherbina, 2000. "The declining U.S. equity premium," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Fall), pages 3-19.
    25. repec:dgr:rugsom:00e08 is not listed on IDEAS
    26. LeRoy,Stephen F. & Werner,Jan, 2014. "Principles of Financial Economics," Cambridge Books, Cambridge University Press, number 9781107024120, February.
    27. Guenter Franke & Richard C. Stapleton & Marti G. Subrahmanyam, 1999. "When are Options Overpriced? The Black-Scholes Model and Alternative Characterisations of the Pricing Kernel," Finance 9904004, University Library of Munich, Germany.
    28. Guntar Franke & Richard C. Stapleton & Marti G. Subrahmanyam, 1999. "When are Options Overpriced? The Black-Scholes Model and Alternative Characterizations of the Pricing Kernel," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-003, New York University, Leonard N. Stern School of Business-.
    29. Chevallier, Eric & Müller, Heinz H., 1994. "Risk Allocation in Capital Markets: Portfolio Insurance, Tactical Asset Allocation and Collar Strategies," ASTIN Bulletin, Cambridge University Press, vol. 24(1), pages 5-18, May.
    30. Franke, Günter & Stapleton, Richard C. & Subrahmanyam, Marti G., 1999. "When are Options Overpriced? The Black-Scholes Model and Alternative Characterisations of the Pricing Kernel," CoFE Discussion Papers 99/01, University of Konstanz, Center of Finance and Econometrics (CoFE).
    31. 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)

    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. 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.
    2. Franke, Günter & Lüders, Erik, 2006. "Return predictability and stock market crashes in a simple rational expectation models," CoFE Discussion Papers 06/05, University of Konstanz, Center of Finance and Econometrics (CoFE).
    3. Bjarne Astrup Jensen & Jørgen Aase Nielsen, 2016. "How suboptimal are linear sharing rules?," Annals of Finance, Springer, vol. 12(2), pages 221-243, May.
    4. Franke, Günter & Weber, Thomas, 2006. "Wieweit tragen rationale Modelle in der Finanzmarktforschung?," CoFE Discussion Papers 06/09, University of Konstanz, Center of Finance and Econometrics (CoFE).
    5. Lüders, Erik & Franke, Günter, 2005. "Return predictability and stock market crashes in a simple rational expectations model," CoFE Discussion Papers 05/05, University of Konstanz, Center of Finance and Econometrics (CoFE).
    6. Franke, Günter & Weber, Martin, 2001. "Heterogeneity of Investors and Asset Pricing in a Risk-Value World," CoFE Discussion Papers 01/08, University of Konstanz, Center of Finance and Econometrics (CoFE).
    7. Bertram Düring, 2009. "Asset pricing under information with stochastic volatility," Review of Derivatives Research, Springer, vol. 12(2), pages 141-167, July.
    8. Franke, Günter & Lüders, Erik, 2004. "Why Do Asset Prices Not Follow Random Walks?," CoFE Discussion Papers 04/05, University of Konstanz, Center of Finance and Econometrics (CoFE).
    9. Zeckhauser, Richard Jay & Tran, Ngoc-Khanh, 2011. "The Behavior of Savings and Asset Prices When Preferences and Beliefs are Heterogeneous," Scholarly Articles 5027955, Harvard Kennedy School of Government.
    10. Guenter Franke & James Huang & Richard Stapleton, 2006. "Two-dimensional risk-neutral valuation relationships for the pricing of options," Review of Derivatives Research, Springer, vol. 9(3), pages 213-237, November.
    11. John Y. Campbell, 2003. "Two Puzzles of Asset Pricing and Their Implications for Investors," The American Economist, Sage Publications, vol. 47(1), pages 48-74, March.
    12. Chiaki Hara, 2019. "Heterogeneous Impatience of Individual Consumers and Decreasing Impatience of the Representative Consumer," KIER Working Papers 1009, Kyoto University, Institute of Economic Research.
    13. Cogley, Timothy & Sargent, Thomas J., 2008. "The market price of risk and the equity premium: A legacy of the Great Depression?," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 454-476, April.
    14. 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.
    15. Lüders, Erik & Lüders-Amann, Inge & Schröder, Michael, 2004. "The Power Law and Dividend Yields," ZEW Discussion Papers 04-51, ZEW - Leibniz Centre for European Economic Research.
    16. Laurent E. Calvet & Paolo Sodini, 2014. "Twin Picks: Disentangling the Determinants of Risk-Taking in Household Portfolios," Journal of Finance, American Finance Association, vol. 69(2), pages 867-906, April.
    17. Luigi Guiso & Monica Paiella, 2008. "Risk Aversion, Wealth, and Background Risk," Journal of the European Economic Association, MIT Press, vol. 6(6), pages 1109-1150, December.
    18. 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.
    19. 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.
    20. Alan Guoming Huang & Eric Hughson & J. Chris Leach, 2016. "Generational Asset Pricing, Equity Puzzles, and Cyclicality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 22, pages 52-71, October.

    More about this item

    Keywords

    Aggregation; heterogeneous consumers; absolute risk tolerance; mutual fund theorem;
    All these keywords.

    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
    • 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:hit:piedp2:323. 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: Digital Resources Section, Hitotsubashi University Library (email available below). General contact details of provider: https://edirc.repec.org/data/cihitjp.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.