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

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Author Info
Chaiki Hara (Faculty of Economics and Politics, University of Cambridge)
Atsushi Kajii (Institute of Economic Research, Kyoto University)

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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.

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Publisher Info
Paper provided by Kyoto University, Institute of Economic Research in its series KIER Working Papers with number 590.

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Length: 24 pages
Date of creation: May 2004
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Handle: RePEc:kyo:wpaper:590

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Related research
Keywords: multiple priors; no trade; dynamic consistency; interim efficiency; rectangularityi;

Find related papers by JEL classification:
D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving
E21 - Macroeconomics and Monetary Economics - - Macroeconomics: 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

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References listed on IDEAS
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  1. Tyge Nielsen, Lars, 1993. "The expected utility of portfolios of assets," Journal of Mathematical Economics, Elsevier, vol. 22(5), pages 439-461. [Downloadable!] (restricted)
  2. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  4. Elul, Ronel, 1997. "Financial innovation, precautionary saving and the risk-free rate," Journal of Mathematical Economics, Elsevier, vol. 27(1), pages 113-131, February. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Laurent Calvet ; Jean-Michel Grandmont ; Isabelle Lemaire, 2001. "Aggregation of Heterogenous Beliefs and Asset Pricing in Complete Financial Markets," Working Papers 2001-01, Centre de Recherche en Economie et Statistique. [Downloadable!]
  7. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June. [Downloadable!] (restricted)
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  8. Philippe Weil, 1992. "Equilibrium Asset Prices With Undiversifiable Labor Income Risk," NBER Working Papers 3975, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  9. 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. [Downloadable!] (restricted)
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  10. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November. [Downloadable!] (restricted)
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  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. Calvet, Laurent & Gonzalez-Eiras, Martin & Sodini, Paolo, 2001. "Financial Innovation, Market Participation and Asset Prices," Working Paper Series in Economics and Finance 464, Stockholm School of Economics. [Downloadable!]
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  13. 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. [Downloadable!] (restricted)
    Other versions:
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