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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," Post-Print halshs-00193970, HAL.
    • Handle: RePEc:hal:journl: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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    1. 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.
    2. 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.
    3. Lucas, Robert Jr., 1990. "Liquidity and interest rates," Journal of Economic Theory, Elsevier, vol. 50(2), pages 237-264, April.
    4. Jacques H. Drèze & Heracles M. Polemarchakis, 2001. "Intertemporal General Equilibrium and Monetary Theory," International Economic Association Series, in: Axel Leijonhufvud (ed.), Monetary Theory as a Basis for Monetary Policy, chapter 2, pages 33-71, Palgrave Macmillan.
    5. Axel Leijonhufvud (ed.), 2001. "Monetary Theory as a Basis for Monetary Policy," International Economic Association Series, Palgrave Macmillan, number 978-1-4039-3961-6, December.
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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.

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