IDEAS home Printed from https://ideas.repec.org/p/kyo/wpaper/577.html
   My bibliography  Save this paper

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
    as

    Download full text from publisher

    File URL: http://www.kier.kyoto-u.ac.jp/DP/DP577.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Rahi Rohit, 1995. "Optimal Incomplete Markets with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 65(1), pages 171-197, February.
    2. David K. Levine & William R. Zame, 2002. "Does Market Incompleteness Matter?," Econometrica, Econometric Society, vol. 70(5), pages 1805-1839, September.
    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. David K Levine & William R Zame, 2000. "Risk Sharing and Market Incompleteness," Levine's Working Paper Archive 2080, David K. Levine.
    5. Elul, Ronel, 1997. "Financial innovation, precautionary saving and the risk-free rate," Journal of Mathematical Economics, Elsevier, vol. 27(1), pages 113-131, February.
    6. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    7. Demange Gabrielle & Laroque Guy, 1995. "Private Information and the Design of Securities," Journal of Economic Theory, Elsevier, vol. 65(1), pages 233-257, February.
    8. 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.
    9. Tyge Nielsen, Lars, 1993. "The expected utility of portfolios of assets," Journal of Mathematical Economics, Elsevier, vol. 22(5), pages 439-461.
    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.
    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. David K. Levine & William R. Zame, 2002. "Does Market Incompleteness Matter?," Econometrica, Econometric Society, vol. 70(5), pages 1805-1839, September.
    2. Magomet Yandiev, 2021. "Risk-Free Rate in the Covid-19 Pandemic: Application Mistakes and Conclusions for Traders," Papers 2111.07075, arXiv.org.

    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. 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.
    2. 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.
    3. 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.
    4. Felipe S. Iachan & Plamen T. Nenov & Alp Simsek, 2021. "The Choice Channel of Financial Innovation," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(2), pages 333-372, April.
    5. Athanasoulis, Stefano G., 2005. "Asset pricing from primitives: closed form solutions to asset prices, consumption, and portfolio demands," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 423-447, March.
    6. Krueger, Dirk & Lustig, Hanno, 2010. "When is market incompleteness irrelevant for the price of aggregate risk (and when is it not)?," Journal of Economic Theory, Elsevier, vol. 145(1), pages 1-41, January.
    7. Michael Haliassos & Alexander Michaelides, 2003. "Portfolio Choice and Liquidity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(1), pages 143-177, February.
    8. Christian Gollier, 2007. "Whom should we believe? Aggregation of heterogeneous beliefs," Journal of Risk and Uncertainty, Springer, vol. 35(2), pages 107-127, October.
    9. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
    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. Greg Kaplan & Giovanni L. Violante, 2010. "How Much Consumption Insurance beyond Self-Insurance?," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(4), pages 53-87, October.
    12. Knut K. Aase, 2016. "Recursive utility using the stochastic maximum principle," Quantitative Economics, Econometric Society, vol. 7(3), pages 859-887, November.
    13. Chiaki Hara, 2018. "Equilibrium Prices of the Market Portfolio in the CAPM with Incomplete Financial Markets," KIER Working Papers 1005, Kyoto University, Institute of Economic Research.
    14. Angeletos, George-Marios & Calvet, Laurent-Emmanuel, 2006. "Idiosyncratic production risk, growth and the business cycle," Journal of Monetary Economics, Elsevier, vol. 53(6), pages 1095-1115, September.
    15. Gollier, Christian, 2004. "The Consumption-Based Determinants of the Term Structure of Discount Rates," IDEI Working Papers 296, Institut d'Économie Industrielle (IDEI), Toulouse.
    16. Felix Kubler & Karl Schmedders, 2001. "Incomplete Markets, Transitory Shocks, and Welfare," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(4), pages 747-766, October.
    17. Gollier, Christian & Schlesinger, Harris, 2002. "Changes in risk and asset prices," Journal of Monetary Economics, Elsevier, vol. 49(4), pages 747-760, May.
    18. Raphael Espinoza & Dimitrios P. Tsomocos, 2019. "Monetary transaction costs and the term premium," Chapters, in: Financial Regulation and Stability, chapter 8, pages 224-244, Edward Elgar Publishing.
    19. Calvet, Laurent-Emmanuel & Grandmont, Jean-Michel & Lemaire, Isabelle, 2018. "Aggregation of heterogenous beliefs, asset pricing, and risk sharing in complete financial markets," Research in Economics, Elsevier, vol. 72(1), pages 117-146.
    20. Tu, Teng-Tsai, 1998. "An entropic approach to equity market integration and consumption-based capital asset pricing models," ISU General Staff Papers 1998010108000012895, Iowa State University, Department of Economics.

    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

    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:577. 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.