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Endogenous State Prices, Liquidity, Default, and the Yield Curve

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  • Raphael Espinoza
  • Dimitrios Tsomocos

    ()

  • Charles Goodhart

    ()

Abstract

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). Twoagents trade goods and nominal assets (Arrow-Debreu (AD) securities) to smooth consumption across periods and future states, in the presence of cash-in-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 computedusing 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.Keywords: cash-in-advance constraints; risk-neutral probabilities; state prices; term structure of interest ratesJEL Classification: E43; G12

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Paper provided by Financial Markets Group in its series FMG Discussion Papers with number dp583.

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Date of creation: Feb 2007
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Handle: RePEc:fmg:fmgdps:dp583

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  1. 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 621-51, October.
  2. 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 1135-71, December.
  3. Charles Goodhart & Pojanart Sunirand & Dimitrios P. Tsomocos, 2004. "A model to analyse financial fragility," LSE Research Online Documents on Economics 24703, London School of Economics and Political Science, LSE Library.
  4. Grandmont, Jean-Michel & Younes, Yves, 1972. "On the Role of Money and the Existence of a Monetary Equilibrium," Review of Economic Studies, Wiley Blackwell, vol. 39(3), pages 355-72, July.
  5. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
  6. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  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. repec:nbr:nberwo:2341 is not listed on IDEAS
  9. Min Fan, 2006. "Heterogeneous Beliefs, the Term Structure and Time-varying Risk Premia," Annals of Finance, Springer, vol. 2(3), pages 259-285, July.
  10. 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.
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