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On the Range of the Risk-Free Interest Rate in Incomplete Markets

Author

Listed:
  • Chiaki Hara

    (Faculty of Economics and Politics, University of Cambridge)

  • Atsushi Kajii

    (Institute of Economic Research, Kyoto University)

Abstract

In a model of a two-period exchange economy under uncertainty, we find both upper and lower bounds for the risk free interest rate when the agents' utility functions exhibit constant absolute risk aversion. These bounds are independent of the degree of market incompleteness, and so in particular these results show to what extent market incompleteness can explain the risk-free rate puzzle in this class of general equilibrium models with heterogeneous agents. A general method of finding these bounds without the assumption of constant absolute risk aversion is also presented.

Suggested Citation

  • Chiaki Hara & Atsushi Kajii, 2003. "On the Range of the Risk-Free Interest Rate in Incomplete Markets," KIER Working Papers 577, Kyoto University, Institute of Economic Research.
    • Handle: RePEc:kyo:wpaper:577
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    References listed on IDEAS

    as
    1. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    2. Rahi Rohit, 1995. "Optimal Incomplete Markets with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 65(1), pages 171-197, February.
    3. Ohashi Kazuhiko, 1995. "Endogenous Determination of the Degree of Market-Incompleteness in Futures Innovation," Journal of Economic Theory, Elsevier, vol. 65(1), pages 198-217, February.
    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. David K. Levine & William R. Zame, 2002. "Does Market Incompleteness Matter?," Econometrica, Econometric Society, vol. 70(5), pages 1805-1839, September.
    6. Demange Gabrielle & Laroque Guy, 1995. "Private Information and the Design of Securities," Journal of Economic Theory, Elsevier, vol. 65(1), pages 233-257, February.
    7. Tyge Nielsen, Lars, 1993. "The expected utility of portfolios of assets," Journal of Mathematical Economics, Elsevier, vol. 22(5), pages 439-461.
    8. David K Levine & William R Zame, 2000. "Risk Sharing and Market Incompleteness," Levine's Working Paper Archive 2080, David K. Levine.
    9. Elul, Ronel, 1997. "Financial innovation, precautionary saving and the risk-free rate," Journal of Mathematical Economics, Elsevier, vol. 27(1), pages 113-131, February.
    10. 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.
    11. 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.
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    Cited by:

    1. Magomet Yandiev, 2021. "Risk-Free Rate in the Covid-19 Pandemic: Application Mistakes and Conclusions for Traders," Papers 2111.07075, arXiv.org.
    2. David K. Levine & William R. Zame, 2002. "Does Market Incompleteness Matter?," Econometrica, Econometric Society, vol. 70(5), pages 1805-1839, September.

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    More about this item

    Keywords

    The risk-free rate puzzle; constant absolute risk aversion; incomplete markets; general equilibrium.;
    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

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