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

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Raphael Espinoza
Dimitrios Tsomocos ()
Charles Goodhart ()

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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. Geanakoplos, J. D. & Tsomocos, D. P., 2002. "International finance in general equilibrium," Research in Economics, Elsevier, vol. 56(1), pages 85-142, June. [Downloadable!] (restricted)
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  2. 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. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  4. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," Journal of Business, University of Chicago Press, vol. 51(4), pages 621-51, October. [Downloadable!] (restricted)
  5. Grandmont, Jean-Michel & Younes, Yves, 1972. "On the Role of Money and the Existence of a Monetary Equilibrium," Review of Economic Studies, Blackwell Publishing, vol. 39(3), pages 355-72, July. [Downloadable!] (restricted)
  6. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November. [Downloadable!] (restricted)
  7. Charles A.E. Goodhart & Pojanart Sunirand & Dimitrios P. Tsomocos, 2003. "A Model to Analyse Financial Fragility," OFRC Working Papers Series 2003fe13, Oxford Financial Research Centre. [Downloadable!]
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  8. Min Fan, 2006. "Heterogeneous Beliefs, the Term Structure and Time-varying Risk Premia," Annals of Finance, Springer, vol. 2(3), pages 259-285, July. [Downloadable!] (restricted)
  9. Dimitrios P. Tsomocos, 2006. "Generic Determinacy and Money Non-Neutrality of International Monetary Equilibria," OFRC Working Papers Series 2006fe07, Oxford Financial Research Centre. [Downloadable!]
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  10. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March. [Downloadable!] (restricted)
  11. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March. [Downloadable!] (restricted)
  12. 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. [Downloadable!] (restricted)
  13. 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. [Downloadable!] (restricted)
  14. Robert J. Shiller & J. Huston McCulloch, 1987. "The Term Structure of Interest Rates," NBER Working Papers 2341, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  15. Martin Shubik & D.P. Tsomocos, 1990. "A Strategic Market Game with a Mutual Bank with Fractional Reserves and Redemption in Gold (A Continuum of Traders)," Cowles Foundation Discussion Papers 964, Cowles Foundation, Yale University. [Downloadable!]
  16. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "An Intertemporal General Equilibrium Model of Asset Prices," Econometrica, Econometric Society, vol. 53(2), pages 363-84, March. [Downloadable!] (restricted)
  17. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 6(2), pages 327-43. [Downloadable!] (restricted)
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