IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-01446218.html
   My bibliography  Save this paper

Decreasing Transaction Costs and Endogenous Fluctuations in a Monetary Model

Author

Listed:
  • Antoine Le Riche

    (GAINS - Groupe d'Analyse des Itinéraires et des Niveaux Salariaux - UM - Le Mans Université, IXXI - Institut Rhône-Alpin des systèmes complexes - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UJML - Université Jean Moulin - Lyon 3 - Université de Lyon - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - INSA Lyon - Institut National des Sciences Appliquées de Lyon - Université de Lyon - INSA - Institut National des Sciences Appliquées - Inria - Institut National de Recherche en Informatique et en Automatique - CNRS - Centre National de la Recherche Scientifique - UGA [2016-2019] - Université Grenoble Alpes [2016-2019])

  • Francesco Magris

    (LEO - Laboratoire d'Économie d'Orleans [UMR7322] - UO - Université d'Orléans - UT - Université de Tours - CNRS - Centre National de la Recherche Scientifique, IXXI - Institut Rhône-Alpin des systèmes complexes - ENS de Lyon - École normale supérieure de Lyon - UL2 - Université Lumière - Lyon 2 - UJML - Université Jean Moulin - Lyon 3 - Université de Lyon - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon - INSA Lyon - Institut National des Sciences Appliquées de Lyon - Université de Lyon - INSA - Institut National des Sciences Appliquées - Inria - Institut National de Recherche en Informatique et en Automatique - CNRS - Centre National de la Recherche Scientifique - UGA [2016-2019] - Université Grenoble Alpes [2016-2019])

Abstract

We study an infinite horizon economy with a representative agent whose utility function includes consumption, real balances and leisure. Real balances enter the utility function pre-multiplied by a parameter reflecting the inverse of the degree of financial market imperfection, i.e. the inverse of the transaction costs justifying a positively valued fiat money. Indeterminacy arises both through a transcritical and a flip bifurcation: somewhat paradoxically, the amplitude of the indeterminacy region improves as soon as the degree of market imperfection is set lower and lower. Such results are robust with respect to the choice for the elasticity of the labor supply, both when the latter is set close to zero and to infinite. We also provide conditions for the existence, uniqueness and multiplicity of the steady states and finally, we asses the impact of the degree of market imperfection on the occurrence of such phenomena

Suggested Citation

  • Antoine Le Riche & Francesco Magris, 2016. "Decreasing Transaction Costs and Endogenous Fluctuations in a Monetary Model," Post-Print hal-01446218, HAL.
  • Handle: RePEc:hal:journl:hal-01446218
    Note: View the original document on HAL open archive server: https://amu.hal.science/hal-01446218
    as

    Download full text from publisher

    File URL: https://amu.hal.science/hal-01446218/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Stefano Bosi & Lionel Ragot, 2009. "Time, bifurcations and economic applications," Post-Print halshs-00384513, HAL.
    2. Jess Benhabib & Roger E.A. Farmer, 2000. "The Monetary Transmission Mechanism," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(3), pages 523-550, July.
    3. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    4. 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.
    5. Cooley, Thomas F & Hansen, Gary D, 1989. "The Inflation Tax in a Real Business Cycle Model," American Economic Review, American Economic Association, vol. 79(4), pages 733-748, September.
    6. Brock, William A., 1975. "A simple perfect foresight monetary model," Journal of Monetary Economics, Elsevier, vol. 1(2), pages 133-150, April.
    7. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    8. Roger E. A. Farmer, 1997. "Money in a real business cycle model," Proceedings, Federal Reserve Bank of Cleveland, issue Nov, pages 568-623.
    9. Feenstra, Robert C., 1986. "Functional equivalence between liquidity costs and the utility of money," Journal of Monetary Economics, Elsevier, vol. 17(2), pages 271-291, March.
    10. Abel, Andrew B., 1985. "Dynamic behavior of capital accumulation in a cash-in-advance model," Journal of Monetary Economics, Elsevier, vol. 16(1), pages 55-71, July.
    11. repec:adr:anecst:y:2005:i:78:p:05 is not listed on IDEAS
    12. Matsuyama, Kiminori, 1991. "Endogenous Price Fluctuations in an Optimizing Model of a Monetary Economy," Econometrica, Econometric Society, vol. 59(6), pages 1617-1631, November.
    13. Grandmont, Jean-Michel, 2008. "Nonlinear difference equations, bifurcations and chaos: An introduction," Research in Economics, Elsevier, vol. 62(3), pages 122-177, September.
    14. Lucas, Robert E, Jr & Stokey, Nancy L, 1987. "Money and Interest in a Cash-in-Advance Economy," Econometrica, Econometric Society, vol. 55(3), pages 491-513, May.
    15. Brock, William A, 1974. "Money and Growth: The Case of Long Run Perfect Foresight," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(3), pages 750-777, October.
    16. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
    17. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
    18. Stefano Bosi & Guido Cazzavillan & Francesco Magris, 2005. "Plausibility of Indeterminacy and Complex Dynamics," Annals of Economics and Statistics, GENES, issue 78, pages 103-115.
    19. Calvo, Guillermo A, 1979. "On Models of Money and Perfect Foresight," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(1), pages 83-103, February.
    20. Stockman, Alan C., 1981. "Anticipated inflation and the capital stock in a cash in-advance economy," Journal of Monetary Economics, Elsevier, vol. 8(3), pages 387-393.
    21. repec:fth:starer:9613 is not listed on IDEAS
    22. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    23. Svensson, Lars E O, 1985. "Money and Asset Prices in a Cash-in-Advance Economy," Journal of Political Economy, University of Chicago Press, vol. 93(5), pages 919-944, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bosi, Stefano & Magris, Francesco, 2003. "Indeterminacy and endogenous fluctuations with arbitrarily small liquidity constraint," Research in Economics, Elsevier, vol. 57(1), pages 39-51, March.
    2. Charles T. Carlstrom & Timothy S. Fuerst, 2003. "Money Growth Rules and Price Level Determinacy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(2), pages 263-275, April.
    3. Bosi, Stefano & Nishimura, Kazuo & Venditti, Alain, 2010. "Multiple equilibria in two-sector monetary economies: An interplay between preferences and the timing for money," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 997-1014, November.
    4. Roger E.A. Farmer, 2019. "The Indeterminacy School in Macroeconomics," NBER Working Papers 25879, National Bureau of Economic Research, Inc.
    5. Roger E A Farmer, 2019. "The Indeterminacy Agenda in Macroeconomics," National Institute of Economic and Social Research (NIESR) Discussion Papers 507, National Institute of Economic and Social Research.
    6. Michael Assous & Pedro Garcia Duarte, 2017. "Challenging Lucas: from overlapping generations to infinite-lived agent models," Working Papers, Department of Economics 2017_03, University of São Paulo (FEA-USP).
    7. Jones, Larry E. & Manuelli, Rodolfo E., 1995. "Growth and the effects of inflation," Journal of Economic Dynamics and Control, Elsevier, vol. 19(8), pages 1405-1428, November.
    8. Farmer, Roger E.A., 2000. "Two New Keynesian Theories Of Sticky Prices," Macroeconomic Dynamics, Cambridge University Press, vol. 4(1), pages 74-107, March.
    9. Barbar, Riham & Bosi, Stefano, 2010. "Collaterals and macroeconomic volatility," Research in Economics, Elsevier, vol. 64(3), pages 146-161, September.
    10. Piotr Ciżkowicz & Marcin Hołda & Andrzej Rzońca, 2009. "Inflation and investment in monetary growth models," Bank i Kredyt, Narodowy Bank Polski, vol. 40(6), pages 9-40.
    11. Stefano Bosi & Francesco Magris & Alain Venditti, 2003. "Indeterminacy in a Cash-in-Advance Two-Sector Economy," Documents de recherche 03-04, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    12. Ralph Chami & Thomas F. Cosimano & Connel Fullenkamp, 2001. "Capital Trading, Stock Trading, and the Inflation Tax on Equity," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(3), pages 575-606, July.
    13. Michener, Ronald & Ravikumar, B., 1998. "Chaotic dynamics in a cash-in-advance economy," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1117-1137, May.
    14. Bosi, Stefano & Dufourt, Frédéric, 2008. "Indeterminacy with constant money growth rules and income-based liquidity constraints," Research in Economics, Elsevier, vol. 62(2), pages 57-63, June.
    15. Buiter, Willem H. & Sibert, Anne C., 2007. "Deflationary Bubbles," Macroeconomic Dynamics, Cambridge University Press, vol. 11(4), pages 431-454, September.
    16. Vasilev, Aleksandar, 2022. "A business-cycle model with cash- and credit goods and a modified cash-in-advance feature: lessons for Bulgaria (1999-2020)," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 26(1 (forthc), pages 1-13.
    17. Serletis, Apostolos & Xu, Libo, 2021. "Consumption, Leisure, And Money," Macroeconomic Dynamics, Cambridge University Press, vol. 25(6), pages 1412-1441, September.
    18. Charles T. Carlstrom & Timothy S. Fuerst, 2001. "Real Indeterminacy in Monetary Models with Nominal Interest Rate Distortions," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(4), pages 767-789, October.
    19. Bewley, Truman, 1983. "A Difficulty with the Optimum Quantity of Money," Econometrica, Econometric Society, vol. 51(5), pages 1485-1504, September.
    20. Bosi, Stefano & Ismael, Mohanad & Venditti, Alain, 2016. "Collateral and growth cycles with heterogeneous agents," Journal of Macroeconomics, Elsevier, vol. 48(C), pages 327-350.

    More about this item

    Keywords

    Bifurcations; indeterminacy; Market Imperfections; Money Demand;
    All these keywords.

    JEL classification:

    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:journl:hal-01446218. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.