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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," LIDAM Discussion Papers CORE 1998005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1998005
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    Cited by:

    1. 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.
    2. Bosi, Stefano & Seegmuller, Thomas, 2010. "On rational exuberance," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 249-270, March.
    3. 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.
    4. 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.
    5. 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.
    6. Michel, P. & Wigniolle, B., 2000. "Temporary Bubbles in an Economy with Under-Accumulation," Papiers d'Economie Mathématique et Applications 2000.91, Université Panthéon-Sorbonne (Paris 1).
    7. 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.
    8. Basci, Erdem & Erdogan, Ayse M. & Saglam, Ismail, 2006. "Money, Tobin Effect, and Incerasing Returns," MPRA Paper 1904, University Library of Munich, Germany.
    9. Homburg, Stefan, 2017. "A Study in Monetary Macroeconomics," OUP Catalogue, Oxford University Press, number 9780198807537, Decembrie.
    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. 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.
    12. 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.
    13. Tarishi Matsuoka, 2011. "Temporary Bubbles and Discount Window Policy," KIER Working Papers 802, Kyoto University, Institute of Economic Research.
    14. Stefan Homburg, 2015. "Superneutrality of Money under Open Market Operations," CESifo Working Paper Series 5219, CESifo.
    15. Homburg Stefan, 2015. "Superneutrality of Money under Open Market Operations," Review of Economics, De Gruyter, vol. 66(3), pages 289-302, December.
    16. Firouz Gahvari & Luca Micheletto, 2012. "Monetary Policy and Redistribution: What can or cannot be Neutralized with Mirrleesian Taxes," CESifo Working Paper Series 3711, CESifo.
    17. 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.
    18. 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.
    19. Stefano Bosi, 2005. "Sunspot Bubbles," Documents de recherche 05-25, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    20. 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.
    21. 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.
    22. Watanabe, Akane & Yakita, Akira, 2023. "Effects of monetary transactions costs on economic growth," Research in Economics, Elsevier, vol. 77(2), pages 221-225.
    23. Michel, Philippe & Wigniolle, Bertrand, 2003. "Temporary bubbles," Journal of Economic Theory, Elsevier, vol. 112(1), pages 173-183, September.

    More about this item

    Keywords

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

    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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