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Endogenous state prices, liquidity, default, and the yield curve


  • Espinoza, Raphael A.
  • Goodhart, Charles
  • Tsomocos, Dimitrios P.


We show, in an exchange economy with default, liquidity constraints and no aggregate uncertainty, that state prices in a complete markets general equilibrium are a function of the supply of liquidity by the Central Bank. Our model is derived along the lines of Dubey and Geanakoplos (1992). Two agents trade goods and nominal assets (Arrow-Debreu (AD) securities) to smooth consumption across periods and future states, in the presence of cashin- advance financing costs. We show that, with Von Neumann-Morgenstern logarithmic utility functions, the price of AD securities, are inversely related to liquidity. The upshot of our argument is that agents’ expectations computed using risk-neutral probabilities give more weight in the states with higher interest rates. This result cannot be found in a Lucas-type representative agent general equilibrium model where there is neither trade or money nor default. Hence, an upward yield curve can be supported in equilibrium, even though short-term interest rates are fairly stable. The risk-premium in the term structure is therefore a pure default risk premium.

Suggested Citation

  • Espinoza, Raphael A. & Goodhart, Charles & Tsomocos, Dimitrios P., 2007. "Endogenous state prices, liquidity, default, and the yield curve," LSE Research Online Documents on Economics 24479, London School of Economics and Political Science, LSE Library.
  • Handle: RePEc:ehl:lserod:24479

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    References listed on IDEAS

    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. Charles Goodhart & Pojanart Sunirand & Dimitrios Tsomocos, 2006. "A model to analyse financial fragility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(1), pages 107-142, January.
    3. Min Fan, 2006. "Heterogeneous Beliefs, the Term Structure and Time-varying Risk Premia," Annals of Finance, Springer, vol. 2(3), pages 259-285, July.
    4. Bansal, Ravi & Coleman, Wilbur John, II, 1996. "A Monetary Explanation of the Equity Premium, Term Premium, and Risk-Free Rate Puzzles," Journal of Political Economy, University of Chicago Press, vol. 104(6), pages 1135-1171, December.
    5. Franco Modigliani & Richard Sutch, 1967. "Debt Management and the Term Structure of Interest Rates: An Empirical Analysis of Recent Experience," Journal of Political Economy, University of Chicago Press, vol. 75, pages 569-569.
    6. Shiller, Robert J. & Huston McCulloch, J., 1990. "The term structure of interest rates," Handbook of Monetary Economics,in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 13, pages 627-722 Elsevier.
    7. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
    8. Jean-Michel Grandmont & Yves Younes, 1972. "On the Role of Money and the Existence of a Monetary Equilibrium," Review of Economic Studies, Oxford University Press, vol. 39(3), pages 355-372.
    9. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," The Journal of Business, University of Chicago Press, vol. 51(4), pages 621-651, October.
    10. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
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    More about this item


    Cash-in-advance constraints; Risk-neutral probabilities; State prices; Term structure of interest rates;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects


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