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Cash-in-advance constraints, bubbles and monetary policy

Author

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  • Philippe Michel

    (EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Bertrand Wigniolle

    (EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - UP1 - Université Paris 1 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," Post-Print halshs-00268861, HAL.
    • Handle: RePEc:hal:journl:halshs-00268861
    DOI: 10.1017/S1365100505040113
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00268861
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    References listed on IDEAS

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    Cited by:

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    2. Firouz Gahvari & Luca Micheletto, 2019. "Heterogeneity, monetary policy, Mirrleesian taxes, and the Friedman rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(4), pages 983-1018, June.
    3. Bosi, Stefano & Seegmuller, Thomas, 2010. "On rational exuberance," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 249-270, March.
    4. Gahvari, Firouz & Micheletto, Luca, 2012. "Monetary policy and redistribution: What can or cannot be neutralized with Mirrleesian taxes," Working Paper Series, Center for Fiscal Studies 2012:5, Uppsala University, Department of Economics.
    5. Firouz Gahvari, 2012. "The Friedman Rule in a Model with Endogenous Growth and Cash‐in‐Advance Constraint," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(5), pages 787-823, August.
    6. 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.
    7. 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.
    8. Tarishi Matsuoka, 2011. "Temporary Bubbles and Discount Window Policy," KIER Working Papers 802, Kyoto University, Institute of Economic Research.
    9. Lise Clain-Chamosset-Yvrard & Thomas Seegmuller, 2013. "The Stabilizing Virtues of Fiscal vs. Monetary Policy on Endogenous Bubble Fluctuations," Working Papers halshs-00854536, HAL.
    10. 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.
    11. Antoine Riche & Francesco Magris, 2017. "Equilibrium Dynamics in a Two-Sector OLG Model with Liquidity Constraint," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 147-174, Springer.

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