Economic Theory

, Volume 62, Issue 1–2, pp 245–264 | Cite as

On default and uniqueness of monetary equilibria

  • Li Lin
  • Dimitrios P. Tsomocos
  • Alexandros P. VardoulakisEmail author
Research Article


We examine the role that credit risk in the central bank’s monetary operations plays in the determination of the equilibrium price level and allocations. Our model features trade in fiat money, real assets and a monetary authority which injects money into the economy through short-term and long-term loans to agents. Short-term loans are riskless, but long-term loans are collateralized by a portfolio of real assets and are subject to credit risk. The private monetary wealth of individuals is zero, i.e., there is no outside money. When there is no default in equilibrium, there is indeterminacy. Positive default in every state of the world on some long-term loan endogenously creates positive liquid wealth that supports positive interest rates and resolves the aforementioned indeterminacy. Hence, a non-Ricardian policy across loan markets can determine the equilibrium allocations, while it allows the central bank to earn profits from seigniorage in order to compensate for any losses.


Determinacy Liquid wealth Default Collateral Monetary policy 

JEL Classifications

D5 E4 E5 


  1. Adão, B., Correia, I., Teles, P.: Short and long interest rate targets. J. Monet. Econ. 66, 95–107 (2014)CrossRefGoogle Scholar
  2. Balasko, Y., Cass, D.: The structure of financial equilibrium with exogenous yields: the case of incomplete markets. Econometrica 57(1), 135–162 (1989)CrossRefGoogle Scholar
  3. Bloise, G., Drèze, J.H., Polemarchakis, H.: Monetary equilibria over an infinite horizon. Econ. Theory 25, 51–74 (2005)CrossRefGoogle Scholar
  4. Buiter, W.H.: The fallacy of the fiscal theory of the price level: a critique. Econ. J. 112(481), 459–480 (2002)CrossRefGoogle Scholar
  5. Cochrane, J.H.: Long-term debt and optimal policy in the fiscal theory of the price level. Econometrica 69(1), 69–116 (2001)CrossRefGoogle Scholar
  6. Drèze, J.H., Polemarchakis, H.: Monetary equilibria. In: Debreu, G., Neufeind, W., Trockel, W. (eds.) Economic Essays: A Festschrift for Werner Hildenbrand, pp. 83–108. Springer, New York (2000)Google Scholar
  7. Dubey, P., Geanakoplos, J.: The value of money in a finite-horizon economy: a role for banks. In: Dasgupta, P., Gale, D., Hart, D., Maskin, E. (eds.) Economic Analysis of Markets and Games, Essays in Honor of Frank Hahn, pp. 407–444. MIT Press, Cambridge, MA (1992)Google Scholar
  8. Dubey, P., Geanakoplos, J.: Inside and outside money, gains to trade, and is-lm. Econ. Theory 21(2), 347–397 (2003)CrossRefGoogle Scholar
  9. Dubey, P., Geanakoplos, J.: Monetary equilibrium with missing markets. J. Math. Econ. 39(5–6), 585–618 (2003)CrossRefGoogle Scholar
  10. Dubey, P., Geanakoplos, J.: Determinacy with nominal assets and outside money. Econ. Theory 27(1), 79–106 (2006)CrossRefGoogle Scholar
  11. Espinoza, R.A., Goodhart, C.A.E., Tsomocos, D.P.: State prices, liquidity, and default. Econ. Theory 39(2), 177–194 (2008)CrossRefGoogle Scholar
  12. Espinoza, R.A., Tsomocos, D.P.: Monetary transaction costs and the term premium. Econ. Theory (2014). doi: 10.1007/s00199-014-0817-z
  13. Geanakoplos, J., Mas-Colell, A.: Real indeterminacy with financial assets. J. Econ. Theory 47(1), 22–38 (1989)CrossRefGoogle Scholar
  14. Geanakoplos, J., Zame, W.R.: Collateral equilibrium, I: a basic framework. Econ. Theory 56(3), 443–492 (2013)CrossRefGoogle Scholar
  15. Giraud, G., Tsomocos, D.P.: Nominal uniqueness and money non-neutrality in the limit-price exchange process. Econ. Theory 45(1–2), 303–348 (2010)CrossRefGoogle Scholar
  16. Goodhart, C.A.E., Tsomocos, D.P., Vardoulakis, A.P.: Modelling a housing and mortgage crisis. In: Alfaro, R.A. (ed.) Financial Stability, Monetary Policy, and Central Banking. Central Bank of Chile, Chile (2010)Google Scholar
  17. Goodhart, C.A.E., Sunirand, P., Tsomocos, D.P.: A risk assessment model for banks. Ann. Finance 1(2), 197–224 (2005)CrossRefGoogle Scholar
  18. Goodhart, C.A.E., Sunirand, P., Tsomocos, D.P.: A model to analyse financial fragility. Econ. Theory 27(1), 107–142 (2006)CrossRefGoogle Scholar
  19. Goodhart, C.A.E., Peiris, U., Tsomocos, D.P., Vardoulakis, A.P.: On dividend restrictions and the collapse of the interbank market. Ann. Finance 6(4), 455–473 (2010)CrossRefGoogle Scholar
  20. Grandmont, J.-M.: Money and Value. Cambridge University Press, Cambridge (1985)Google Scholar
  21. Gurley, J.G., Shaw, E.S.: Money in a Theory of Finance. Brookings Institution, Washington, DC (1960)Google Scholar
  22. Lin, L., Tsomocos, D.P., Vardoulakis, A.P.: Debt deflation effects of monetary policy. Finance and Economics Discussion Series 2014–37. Board of Governors of the Federal Reserve System (2014)Google Scholar
  23. Lucas, R.E., Stokey, N.L.: Money and rates of interest in a cash-in-advance economy. Econometrica 55(3), 491–513 (1987)CrossRefGoogle Scholar
  24. Magill, M., Quinzii, M.: Real effects of money in general equilibrium. J. Math. Econ. 21(4), 301–342 (1992)CrossRefGoogle Scholar
  25. Magill, M., Quinzii, M.: Anchoring expectations of inflation. J. Math. Econ. 50, 86–105 (2014)CrossRefGoogle Scholar
  26. Magill, M., Quinzii, M.: Term structure and forward guidance as instruments of monetary policy. Econ. Theory 56(1), 1–32 (2014)CrossRefGoogle Scholar
  27. McMahon, M., Peiris, U., Polemarchakis, H.: Perils of quantitative easing. Warwick WP (2014)Google Scholar
  28. Peiris, U., Vardoulakis, A.P.: Collateral and the efficiency of monetary policy. Econ. Theory (2015). doi: 10.1007/s00199-014-0857-4
  29. Peiris, U., Polemarchakis, H.: Monetary policy and quantitative easing in an open economy: prices, exchange rates and risk premia. Warwick WP (2014)Google Scholar
  30. Shubik, M., Tsomocos, D.P.: A strategic market game with a mutual bank with fractional reserves and redemption in gold. J. Econ. 55(2), 123–150 (1992)CrossRefGoogle Scholar
  31. Sims, C.A.: A simple model for the study of the determination of the price level and the interaction of monetary and fiscal policy. Econ. Theory 4(3), 381–399 (1994)CrossRefGoogle Scholar
  32. Tsenova, T.: International monetary transmission with bank heterogeneity and default risk. Ann. Finance 10(2), 217–241 (2014)CrossRefGoogle Scholar
  33. Tsomocos, D.P.: Essays on Monetary Theory, Banking and General Economic Equilibrium. Ph.D Thesis, Yale University (1996)Google Scholar
  34. Tsomocos, D.P.: Equilibrium analysis, banking and financial instability. J. Math. Econ. 39(5–6), 619–655 (2003)CrossRefGoogle Scholar
  35. Tsomocos, D.P.: Generic determinacy and money non-neutrality of international monetary equilibria. J. Math. Econ. 44(7–8), 866–887 (2008)CrossRefGoogle Scholar
  36. Woodford, M.: Monetary policy and price level determinacy in a cash-in-advance economy. Econ. Theory 4(3), 345–380 (1994)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg (Outside the USA) 2015

Authors and Affiliations

  • Li Lin
    • 1
  • Dimitrios P. Tsomocos
    • 2
  • Alexandros P. Vardoulakis
    • 3
    Email author
  1. 1.International Monetary FundWashingtonUSA
  2. 2.Saïd Business School and St. Edmund HallUniversity of OxfordOxfordUK
  3. 3.Board of Governors of the Federal Reserve SystemWashingtonUSA

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