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Cash-In-Advance Constraints, Bubbles, And Monetary Policy

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  • MICHEL, PHILIPPE
  • WIGNIOLLE, BERTRAND

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-in-advance 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 to eliminate temporary bubbles.

Suggested Citation

  • Michel, Philippe & Wigniolle, Bertrand, 2005. "Cash-In-Advance Constraints, Bubbles, And Monetary Policy," Macroeconomic Dynamics, Cambridge University Press, vol. 9(1), pages 28-56, February.
    • Handle: RePEc:cup:macdyn:v:9:y:2005:i:01:p:28-56_04
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    Cited by:

    1. Lise Clain-Chamoset-Yvrard & Xavier Raurich & Thomas Seegmuller, 2024. "Rational housing demand bubble," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(3), pages 699-746, May.
    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, 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.
    4. Firouz Gahvari & Luca Micheletto, 2012. "Monetary Policy and Redistribution: What can or cannot be Neutralized with Mirrleesian Taxes," CESifo Working Paper Series 3711, CESifo.
    5. Bosi, Stefano & Seegmuller, Thomas, 2010. "On rational exuberance," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 249-270, March.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Tarishi Matsuoka, 2011. "Temporary Bubbles and Discount Window Policy," KIER Working Papers 802, Kyoto University, Institute of Economic Research.
    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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