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Cash-in-advance constraints in the diamond overlapping generations model: neutrality and optimality of monetary policies

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  • CRETTEZ, Bertrand

    () (C.R.E.S.E., Université de Franche-Comté and C.E.M.E., U.R.A. C.N.R.S. DO924, Université de Paris-I)

  • MICHEL, Philippe

    (Université de la Méditerranée II and I.U.F., Greqam)

  • WIGNIOLLE, Bertrand

    () (C.R.E.S.E., Université de Franche-Comté and M.A.D., Université de Paris-I)

Abstract

This paper is a study of money in overlapping generations models with cash-in-advance constraints. We first offer a brief review of different features of the cash-in-advance constraint. Then we propose a general formulation and study the neutrality of money. We show that both neutrality and equilibrium dynamics depend on the form of the cashin-advance constraint. We then show that optimal intergenerational resources sharing can be implemented through monetary transfers. Finally, we find that the Chicago Rule is implied by optimal monetary policy.

Suggested Citation

  • CRETTEZ, Bertrand & MICHEL, Philippe & WIGNIOLLE, Bertrand, 1998. "Cash-in-advance constraints in the diamond overlapping generations model: neutrality and optimality of monetary policies," CORE Discussion Papers 1998005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvco:1998005
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    File URL: https://uclouvain.be/en/research-institutes/immaq/core/dp-1998.html
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    Cited by:

    1. 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.
    2. Leopold von Thadden, 2004. "Active monetary policy, passive fiscal policy and the value of pure debt: some further monetarist arithmetic," Money Macro and Finance (MMF) Research Group Conference 2003 108, Money Macro and Finance Research Group.
    3. MICHEL, Philippe & WIGNIOLLE, Bertrand, 2000. "Temporary bubbles in an economy with under-accumulation," CORE Discussion Papers 2000061, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Crettez, Bertrand & Michel, Philippe & Wigniolle, Bertrand, 2002. "Seigniorage and public good in an OLG model with cash-in-advance constraints," Research in Economics, Elsevier, vol. 56(4), pages 333-364, December.
    5. 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.
    6. 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.
    7. Akira Yakita, 2008. "Optimal Nonlinear Taxation in an Overlapping-Generations Setting with Money as an Asset," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 64(1), pages 19-32, March.
    8. Luciano Fanti, 2012. "Fertility and money in an OLG model," Discussion Papers 2012/145, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    9. Tarishi Matsuoka, 2011. "Temporary Bubbles and Discount Window Policy," KIER Working Papers 802, Kyoto University, Institute of Economic Research.
    10. Stefano Bosi, 2005. "Sunspot Bubbles," Documents de recherche 05-25, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    11. 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.
    12. Lu Chia-Hui & Chen Been-Lon & Hsu Mei, 2011. "The Dynamic Relationship between Inflation and Output Growth in a Cash-Constrained Economy," The B.E. Journal of Macroeconomics, De Gruyter, vol. 11(1), pages 1-29, May.
    13. Basci, Erdem & Erdogan, Ayse M. & Saglam, Ismail, 2006. "Money, Tobin Effect, and Incerasing Returns," MPRA Paper 1904, University Library of Munich, Germany.
    14. Homburg Stefan, 2015. "Superneutrality of Money under Open Market Operations," Review of Economics, De Gruyter, vol. 66(3), pages 289-302, December.
    15. Michel, Philippe & Wigniolle, Bertrand, 2003. "Temporary bubbles," Journal of Economic Theory, Elsevier, vol. 112(1), pages 173-183, September.
    16. Firouz Gahvari, 2009. "Friedman Rule in a Model with Endogenous Growth and Cash-in-advance Constraint," CESifo Working Paper Series 2708, CESifo Group Munich.
    17. 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.
    18. von Thadden, Leopold, 2004. "Active monetary policy, passive fiscal policy and the value of public debt: Some further monetarist arithmetic," Journal of Macroeconomics, Elsevier, vol. 26(2), pages 223-251, June.
    19. Homburg, Stefan, 2017. "A Study in Monetary Macroeconomics," OUP Catalogue, Oxford University Press, number 9780198807537.

    More about this item

    Keywords

    cash-in-advance constraint; monetary policy; superneutrality; overlapping generations model.;

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination

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