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Cash-in-advance constraints, bubbles and monetary policy

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  • Philippe Michel

    (EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - ECM - Ecole Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique - AMU - Aix Marseille Université - EHESS - École des hautes études en sciences sociales)

  • Bertrand Wigniolle

    () (EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper, we study the equilibrium dynamics of an overlapping generations model with capital, money and cash-in-advance constraints. At each period, the economy can experience two different regimes: either the cash-inadvance constraint is binding and money is a dominated asset, or the constraint is strictly satisfied and money has the same return as capital. When the second regime occurs, we say that the economy experiences a temporary bubble. We show the existence of temporary bubbles, and we prove that cyclical equilibria may exist. In these equilibria, the economy experiences some periods without bubbles and some periods with bubbles. We also show that monetary creation can be used in order to eliminate temporary bubbles.

Suggested Citation

  • Philippe Michel & Bertrand Wigniolle, 2005. "Cash-in-advance constraints, bubbles and monetary policy," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00268861, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00268861
    DOI: 10.1017/S1365100505040113
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00268861
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    References listed on IDEAS

    as
    1. 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.
    2. Huybens, Elisabeth & Smith, Bruce D., 1998. "Financial Market Frictions, Monetary Policy, and Capital Accumulation in a Small Open Economy," Journal of Economic Theory, Elsevier, vol. 81(2), pages 353-400, August.
    3. Bruce D. Smith & John H. Boyd, 1998. "Capital market imperfections in a monetary growth model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(2), pages 241-273.
    4. Stacey L. Schreft & Bruce D. Smith, 1998. "The Effects of Open Market Operations in a Model of Intermediation and Growth," Review of Economic Studies, Oxford University Press, vol. 65(3), pages 519-550.
    5. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    6. Michel, Philippe & Wigniolle, Bertrand, 2003. "Temporary bubbles," Journal of Economic Theory, Elsevier, vol. 112(1), pages 173-183, September.
    7. Frank Hahn & Robert Solow, 1997. "A Critical Essay on Modern Macroeconomic Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 026258154x, May.
    8. Pere Gomis-Porqueras, 2000. "Money, banks and endogenous volatility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(3), pages 735-745.
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    Citations

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    Cited by:

    1. Bosi, Stefano & Seegmuller, Thomas, 2010. "On rational exuberance," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 249-270, March.
    2. Lise Clain-Chamosset-Yvrard & Thomas Seegmuller, 2013. "The Stabilizing Virtues of Fiscal vs. Monetary Policy on Endogenous Bubble Fluctuations," Working Papers halshs-00854536, HAL.
    3. Firouz Gahvari & Luca Micheletto, 2012. "Monetary Policy and Redistribution: What can or cannot be Neutralized with Mirrleesian Taxes," CESifo Working Paper Series 3711, CESifo Group Munich.
    4. Firouz Gahvari, 2009. "Friedman Rule in a Model with Endogenous Growth and Cash-in-advance Constraint," CESifo Working Paper Series 2708, CESifo Group Munich.
    5. Stefano Bosi & Thomas Seegmuller, 2013. "Rational bubbles and expectation-driven fluctuations," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 69-83, March.
    6. Clain-Chamosset-Yvrard, Lise & Seegmuller, Thomas, 2015. "Rational bubbles and macroeconomic fluctuations: The (de-)stabilizing role of monetary policy," Mathematical Social Sciences, Elsevier, vol. 75(C), pages 1-15.
    7. Yanagihara, Mitsuyoshi & Lu, Chen, 2013. "Cash-in-advance constraint, optimal monetary policy, and human capital accumulation," Research in Economics, Elsevier, vol. 67(3), pages 278-288.
    8. Tarishi Matsuoka, 2011. "Temporary Bubbles and Discount Window Policy," KIER Working Papers 802, Kyoto University, Institute of Economic Research.
    9. Antoine Le Riche & Francesco Magris, 2015. "Equilibrium Dynamics in a Two-Sector OLG Model with Liquidity Constraint," AMSE Working Papers 1536, Aix-Marseille School of Economics, Marseille, France.

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