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Incomplete markets and monetary policy


  • Pascal Gourdel

    () (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Leila Triki

    () (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)


We consider an extension of a general equilibrium model with incomplete markets that considers cash-in-advance constraints. The total amount of money is supplied by an authority, which produces at no cost and lends money to agents at short term nominal rates of interest, meeting the demand. Agents have initial nominal claims, which in the aggregate, are the counterpart of an initial public debt. The authority covers its expenditures, including initial debt, through public revenues which consists of taxes and seignorage, and distributes its eventual budget surpluses through transfers to individuals, while no further instruments are available to correct eventual budget deficits. We define a concept of equilibrium in this extended model, and prove that there exists a monetary equilibrium with no transfers. Moreover, we show that if the price level is high enough, a monetary equilibrium with transfers exists.

Suggested Citation

  • Pascal Gourdel & Leila Triki, 2005. "Incomplete markets and monetary policy," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00193970, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00193970
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    References listed on IDEAS

    1. Jean-Michel Grandmont & Yves Younes, 1973. "On the Efficiency of a Monetary Equilibrium," Review of Economic Studies, Oxford University Press, vol. 40(2), pages 149-165.
    2. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467-467.
    3. DREZE, Jacques & POLEMARCHAKIS, Heracles, 1995. "Monetary equilibria," CORE Discussion Papers 1995078, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Woodford, Michael, 1994. "Monetary Policy and Price Level Determinacy in a Cash-in-Advance Economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 345-380.
    5. Monique Florenzano, 2007. "General equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00250167, HAL.
    6. Magill, M. & Quinzii, M., 1992. "Real effects of money in general equilibrium," Journal of Mathematical Economics, Elsevier, vol. 21(4), pages 301-342.
    7. Duffie, Darrell, 1987. "Stochastic equilibria with incomplete financial markets," Journal of Economic Theory, Elsevier, vol. 41(2), pages 405-416, April.
    8. Werner, Jan, 1985. "Equilibrium in economies with incomplete financial markets," Journal of Economic Theory, Elsevier, vol. 36(1), pages 110-119, June.
    9. Lucas, Robert E, Jr & Stokey, Nancy L, 1987. "Money and Interest in a Cash-in-Advance Economy," Econometrica, Econometric Society, vol. 55(3), pages 491-513, May.
    10. Lucas, Robert Jr., 1990. "Liquidity and interest rates," Journal of Economic Theory, Elsevier, vol. 50(2), pages 237-264, April.
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    Cited by:

    1. Bai, Jinhui H. & Schwarz, Ingolf, 2006. "Monetary equilibria in a cash-in-advance economy with incomplete financial markets," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 422-451, August.
    2. Monique Florenzano & Stella Kanellopoulou & Yiannis Vailakis, 2006. "Equilibrium of incomplete markets with money and intermediate banking system," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00112209, HAL.
    3. repec:hal:journl:halshs-00112209 is not listed on IDEAS

    More about this item


    nominal interest rate; Cash-in-advance constraints; incomplete markets; nominal assets; monetary equilibrium; money; nominal interest rate.; Contraintes de Cash-in-advance; marchés incomplets; actifs nominaux; équilibres monétaires; monnaie; taux d'intérêt nominaux.;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)


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