Economic Theory

, Volume 39, Issue 2, pp 177–194 | Cite as

State prices, liquidity, and default

  • Raphaël A. Espinoza
  • Charles. A. E. Goodhart
  • Dimitrios P. Tsomocos
Research Article

Abstract

We show, in a monetary exchange economy, that asset prices in a complete markets general equilibrium are a function of the supply of liquidity by the Central Bank, through its effect on default and interest rates. Two agents trade goods and nominal assets to smooth consumption across periods and future states, in the presence of cash-in-advance financing costs that have effects on real allocations. We show that higher spot interest rates reduce trade and as a result increase state prices. Hence, states of nature with higher interest rates are also states of nature with higher risk-neutral probabilities. This result, which cannot be found in a Lucas-type representative agent model, implies that the yield curve is upward sloping in equilibrium, even when short-term interest rates are fairly stable and the variance of the (macroeconomic) stochastic discount factor is 0. The risk-premium in the term structure is, therefore, a monetary-cost risk premium.

Keywords

Cash-in-advance constraints Default Asset prices Risk-neutral probabilities 

JEL Classification

E43 G12 

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References

  1. Backus D., Gregory A. and Zin S. (1989). Risk premiums in the term structure: evidence from artificial economies. J Monet Econ 24(3): 371–399 CrossRefGoogle Scholar
  2. Bansal R. and Coleman II W.J. (1996). A monetary explanation of the equity premium, term premium and risk-free rate puzzles. J Polit Econ 104(6): 1135–1171 CrossRefGoogle Scholar
  3. Bloise G. (2006). A note on the existence of a monetary equilibrium over an infinite horizon. Econ Theory 27(1): 59–77 CrossRefGoogle Scholar
  4. Bloise G., Drèze J. and Polemarchakis H. (2005). Monetary equilibria over an infinite horizon. Econ Theory 25(1): 51–74 CrossRefGoogle Scholar
  5. Breeden D. (1979). An intertemporal asset pricing model with stochastic consumption and investment opportunities. J Financ Econ 7: 265–296 CrossRefGoogle Scholar
  6. Breeden D. and Litzenberger R. (1978). Prices of state-contingent claims implicit in option prices. J Bus 51(4): 621–651 CrossRefGoogle Scholar
  7. Clower B.W. (1967). A reconsideration of the microeconomic foundations of monetary theory. Western Econ J 6: 1–8 Google Scholar
  8. Dubey P. and Geanakoplos J. (1992). The value of money in a finite-horizon economy: a role for banks. In: Dasgupta, P. and Gale, D. (eds) Economic Analysis of Market and Games, pp. M.I.T. Press, Cambridge Google Scholar
  9. Dubey P. and Geanakoplos J. (2006). Determinacy with nominal assets and outside money. Econ Theory 27(1): 79–106 CrossRefGoogle Scholar
  10. Fan M. (2006). Heterogeneous beliefs, the term structure and time-varying risk premia. Ann Finance 2(3): 259–285 CrossRefGoogle Scholar
  11. Geanakoplos J. and Tsomocos D. (2002). International finance in general equilibrium. Res Econ 56(1): 85–142 CrossRefGoogle Scholar
  12. Gurley J.G. and Shaw E.S. (1960). Money in a Theory of Finance. The Brookings Institution, Washington Google Scholar
  13. Goodhart C.A.E., Sunirand P. and Tsomocos D. (2006). A model to analyse financial fragility. Econ Theory 27(1): 107–142 CrossRefGoogle Scholar
  14. Hicks J.R. (1946). Value and Capital, 2nd edn. Oxford University Press, Oxford Google Scholar
  15. Lucas R. (1978). Asset prices in an exchange economy. Econometrica 46(6): 1429–1445 CrossRefGoogle Scholar
  16. Lucas R. (1990). Liquidity and interest rates. J Econ Theory 50(2): 237–264 CrossRefGoogle Scholar
  17. Lucas R. and Stokey N. (1987). Money and interest in a cash-in-advance economy. Econometrica 55(3): 491–514 CrossRefGoogle Scholar
  18. Lutz F.A. (1940). The structure of interest rates. Q J Econ 55(1): 36–63 CrossRefGoogle Scholar
  19. Mehra R. and Prescott E. (1985). The equity premium: a puzzle. J Monet Econ 15(2): 145–162 CrossRefGoogle Scholar
  20. Modigliani F. and Sutch R. (1967). Debt management and the term structure of interest rates: an analysis of recent experience. J Polit Econ 75(4): 569–589 CrossRefGoogle Scholar
  21. Santos M.S. (2006). The value of money in a dynamic equilibrium model. Econ Theory 27(1): 39–58 CrossRefGoogle Scholar
  22. Shiller R.J. (1990). The term structure of interest rates. In: Friedman, B.M. and Hahn, F.H. (eds) Handbook of Monetary Economics, vol. 1, pp. North Holland, Amsterdam Google Scholar
  23. Shubik M. and Tsomocos D.P. (1992). A strategic market game with a mutual bank with fractional reserves and redemption in gold (A continuum of traders). J Econ 55(2): 123–150 Google Scholar
  24. Shubik M. and Wilson C. (1977). The optimal bankruptcy rule in a trading economy using fiat money. J Econ 37(3–4): 337–354 Google Scholar
  25. Tsomocos D. (2003). Equilibrium analysis, banking and financial instability. J Math Econ 39(5-6): 619–655 CrossRefGoogle Scholar
  26. Tsomocos, D.: Generic determinacy and money non-neutrality of international monetary equilibria. J Math Econ (2008) forthcomingGoogle Scholar

Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  • Raphaël A. Espinoza
    • 1
    • 2
    • 3
  • Charles. A. E. Goodhart
    • 4
  • Dimitrios P. Tsomocos
    • 5
  1. 1.University of OxfordOxfordUK
  2. 2.European Central BankFrankfurtGermany
  3. 3.Christ ChurchOxfordUK
  4. 4.Financial Markets GroupLondon School of EconomicsLondonUK
  5. 5.Saïd Business School and St. Edmund HallUniversity of OxfordOxfordUK

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