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Incomplete markets and monetary policy

Author

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  • Pascal Gourdel

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Leila Triki

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

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
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00193970
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    References listed on IDEAS

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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," Post-Print halshs-00112209, HAL.

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    More about this item

    Keywords

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

    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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