IDEAS home Printed from https://ideas.repec.org/p/kyo/wpaper/590.html
   My bibliography  Save this paper

Risk-Free Bond Prices in Incomplete Markets with Recursive Utility Functions and Multiple Beliefs

Author

Listed:
  • Chaiki Hara

    (Faculty of Economics and Politics, University of Cambridge)

  • Atsushi Kajii

    (Institute of Economic Research, Kyoto University)

Abstract

We consider an exchange economy under uncertainty, in which agents' utility functions exhibit constant absolute risk aversion, but they may be recursive and the expected utility calculation may be based on multiple subjective beliefs. The risk aversion coefficients, subjective beliefs, subjective time discount factors, initial endowments, and tradeable assets may differ across agents. We prove that the risk-free bond price goes down (and the interest rate goes up) monotonically as the markets become more complete. We find the range of equilibrium bond prices that depends on the primitives of the economy but not on the structures of financial markets.

Suggested Citation

  • Chaiki Hara & Atsushi Kajii, 2004. "Risk-Free Bond Prices in Incomplete Markets with Recursive Utility Functions and Multiple Beliefs," KIER Working Papers 590, Kyoto University, Institute of Economic Research.
    • Handle: RePEc:kyo:wpaper:590
    as

    Download full text from publisher

    File URL: http://www.kier.kyoto-u.ac.jp/DP/DP590.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Weil, Philippe, 1989. "The equity premium puzzle and the risk-free rate puzzle," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 401-421, November.
    2. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
    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. Devereux, Michael B. & Saito, Makoto, 1997. "Growth and risk-sharing with incomplete international assets markets," Journal of International Economics, Elsevier, vol. 42(3-4), pages 453-481, May.
    5. Calvet, Laurent & Gonzalez-Eiras, Martín & Sodini, Paolo, 2004. "Financial Innovation, Market Participation, and Asset Prices," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(3), pages 431-459, September.
    6. Tyge Nielsen, Lars, 1993. "The expected utility of portfolios of assets," Journal of Mathematical Economics, Elsevier, vol. 22(5), pages 439-461.
    7. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    8. Elul, Ronel, 1997. "Financial innovation, precautionary saving and the risk-free rate," Journal of Mathematical Economics, Elsevier, vol. 27(1), pages 113-131, February.
    9. 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.
    10. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    11. Michael Magill & Martine Quinzii, 2002. "Theory of Incomplete Markets, Volume 1," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262632543, December.
    12. Narayana R. Kocherlakota, 1996. "The Equity Premium: It's Still a Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(1), pages 42-71, March.
    13. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, 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. Kajii, A. & Hara, C., 2000. "On the Range of the Risk-Free Interest Rate in Incomplete Markets," Cambridge Working Papers in Economics 0030, Faculty of Economics, University of Cambridge.
    2. Rhys Bidder & Ian Dew-Becker, 2016. "Long-Run Risk Is the Worst-Case Scenario," American Economic Review, American Economic Association, vol. 106(9), pages 2494-2527, September.
    3. Knut K. Aase, 2016. "Recursive utility using the stochastic maximum principle," Quantitative Economics, Econometric Society, vol. 7(3), pages 859-887, November.
    4. Massimo Guidolin & Francesca Rinaldi, 2013. "Ambiguity in asset pricing and portfolio choice: a review of the literature," Theory and Decision, Springer, vol. 74(2), pages 183-217, February.
    5. Nengjiu Ju & Jianjun Miao, 2012. "Ambiguity, Learning, and Asset Returns," Econometrica, Econometric Society, vol. 80(2), pages 559-591, March.
    6. David K. Backus & Bryan R. Routledge & Stanley E. Zin, 2005. "Exotic Preferences for Macroeconomists," NBER Chapters, in: NBER Macroeconomics Annual 2004, Volume 19, pages 319-414, National Bureau of Economic Research, Inc.
    7. Aase, Knut K., 2014. "Recursive utility and jump-diffusions," Discussion Papers 2014/9, Norwegian School of Economics, Department of Business and Management Science.
    8. Aase, Knut K., 2014. "Heterogeneity and limited stock market Participation," Discussion Papers 2014/5, Norwegian School of Economics, Department of Business and Management Science, revised 25 Mar 2015.
    9. Hansen, Lars Peter, 2013. "Uncertainty Outside and Inside Economic Models," Nobel Prize in Economics documents 2013-7, Nobel Prize Committee.
    10. Saito, Makoto, 1998. "A simple model of incomplete insurance the case of permanent shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 22(5), pages 763-777, May.
    11. Fabrice Collard & Sujoy Mukerji & Kevin Sheppard & Jean‐Marc Tallon, 2018. "Ambiguity and the historical equity premium," Quantitative Economics, Econometric Society, vol. 9(2), pages 945-993, July.
    12. Ludwig, Alexander & Zimper, Alexander, 2014. "Biased Bayesian learning with an application to the risk-free rate puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 79-97.
    13. Isaac Kleshchelski & Nicolas Vincent, 2007. "Robust Equilibrium Yield Curves," Cahiers de recherche 08-02, HEC Montréal, Institut d'économie appliquée.
    14. Hui Chen & Nengjiu Ju & Jianjun Miao, 2014. "Dynamic Asset Allocation with Ambiguous Return Predictability," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(4), pages 799-823, October.
    15. Christian Traeger, 2014. "Why uncertainty matters: discounting under intertemporal risk aversion and ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 627-664, August.
    16. Treich, Nicolas, 2010. "The value of a statistical life under ambiguity aversion," Journal of Environmental Economics and Management, Elsevier, vol. 59(1), pages 15-26, January.
    17. Rui Albuquerque & Martin Eichenbaum & Victor Xi Luo & Sergio Rebelo, 2016. "Valuation Risk and Asset Pricing," Journal of Finance, American Finance Association, vol. 71(6), pages 2861-2904, December.
    18. George M. Constantinides & Anisha Ghosh, 2011. "Asset Pricing Tests with Long-run Risks in Consumption Growth," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 1(1), pages 96-136.
    19. Anne Epaulard & Aude Pommeret, 2003. "Recursive Utility, Endogenous Growth, and the Welfare Cost of Volatility," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(3), pages 672-684, July.
    20. Benjamin Eden, 2008. "Substitution, Risk Aversion and Asset Prices: An Expected Utility Approach," Vanderbilt University Department of Economics Working Papers 0803, Vanderbilt University Department of Economics.

    More about this item

    Keywords

    multiple priors; no trade; dynamic consistency; interim efficiency; rectangularityi;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • 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

    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:kyo:wpaper:590. 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: Makoto Watanabe (email available below). General contact details of provider: https://edirc.repec.org/data/iekyojp.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.