IDEAS home Printed from https://ideas.repec.org/p/upf/upfgen/320.html
   My bibliography  Save this paper

The variability of money velocity in a generalized cash-in-advance model

Author

Listed:
  • Hugo Rodríguez

Abstract

This paper presents a general equilibrium model of money demand where the velocity of money changes in response to endogenous fluctuations in the interest rate. The parameter space can be divided into two subsets: one where velocity is constant and equal to one as in cash- in-advance models, and another one where velocity fluctuates as in Baumol (1952). Despite its simplicity, in terms of paramaters to calibrate, the model performs surprisingly well. In particular, it approximates the variability of money velocity observed in the U.S. for the post-war period. The model is then used to analyze the welfare costs of inflation under uncertainty. This application calculates the errors derived from computing the costs of inflation with deterministic models. It turns out that the size of this difference is small, at least for the levels of uncertainty estimated for the U.S. economy.

Suggested Citation

  • Hugo Rodríguez, 1998. "The variability of money velocity in a generalized cash-in-advance model," Economics Working Papers 320, Department of Economics and Business, Universitat Pompeu Fabra.
  • Handle: RePEc:upf:upfgen:320
    as

    Download full text from publisher

    File URL: https://econ-papers.upf.edu/papers/320.pdf
    File Function: Whole Paper
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hodrick, Robert J & Kocherlakota, Narayana R & Lucas, Deborah, 1991. "The Variability of Velocity in Cash-in-Advance Models," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 358-384, April.
    2. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-732, May.
    3. Schreft, S L, 1992. "Transaction Costs and the Use of Cash and Credit," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 283-296, April.
    4. 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.
    5. Hugo Rodríguez Mendizábal, 2002. "Monetary Union and the Transaction Cost Savings of a Single Currency," Review of International Economics, Wiley Blackwell, vol. 10(2), pages 263-277, May.
    6. Jovanovic, Boyan, 1982. "Inflation and Welfare in the Steady State," Journal of Political Economy, University of Chicago Press, vol. 90(3), pages 561-577, June.
    7. Rotemberg, Julio J, 1984. "A Monetary Equilibrium Model with Transactions Costs," Journal of Political Economy, University of Chicago Press, vol. 92(1), pages 40-58, February.
    8. Fratianni, Michele & von Hagen, Juergen, 1990. "The European Monetary System ten years after," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 32(1), pages 173-241, January.
    9. Guidotti, Pablo E. & Vegh, Carlos A., 1993. "The optimal inflation tax when money reduces transactions costs : A reconsideration," Journal of Monetary Economics, Elsevier, vol. 31(2), pages 189-205, April.
    10. Robert M. Adams, 1994. "On the welfare cost of inflation," Working Papers in Applied Economic Theory 94-07, Federal Reserve Bank of San Francisco.
    11. Wouter J. Den Haan & Albert Marcet, 1994. "Accuracy in Simulations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(1), pages 3-17.
    12. Stock, James H. & Watson, Mark W., 1989. "Interpreting the evidence on money-income causality," Journal of Econometrics, Elsevier, vol. 40(1), pages 161-181, January.
    13. 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.
    14. Grossman, Sanford & Weiss, Laurence, 1983. "A Transactions-Based Model of the Monetary Transmission Mechanism," American Economic Review, American Economic Association, vol. 73(5), pages 871-880, December.
    15. Dotsey, Michael & Ireland, Peter, 1996. "The welfare cost of inflation in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 29-47, February.
    16. Chang, Fwu-Ranq, 1999. "Homogeneity and the Transactions Demand for Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(4), pages 720-730, November.
    17. 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.
    18. Lucas, Robert E, Jr, 1980. "Equilibrium in a Pure Currency Economy," Economic Inquiry, Western Economic Association International, vol. 18(2), pages 203-220, April.
    19. Lucas, Robert E., 1984. "Money in a theory of finance," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 21(1), pages 9-46, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hugo Rodriguez Mendizabal, 2004. "The Behavior of Money velocity in Low and High Inflation Countries," UFAE and IAE Working Papers 600.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).

    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. Hugo Rodriguez Mendizabal, 2004. "The Behavior of Money velocity in Low and High Inflation Countries," UFAE and IAE Working Papers 600.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    2. Yi Wen, 2009. "When does heterogeneity matter?," Working Papers 2009-024, Federal Reserve Bank of St. Louis.
    3. Wilbur John Coleman, 1991. "Precautionary money balances with aggregate uncertainty," International Finance Discussion Papers 399, Board of Governors of the Federal Reserve System (U.S.).
    4. Sellin, Peter, 1998. "Monetary Policy and the Stock Market: Theory and Empirical Evidence," Working Paper Series 72, Sveriges Riksbank (Central Bank of Sweden).
    5. Isabel Correia & Pedro Teles, 1999. "The Optimal Inflation Tax," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(2), pages 325-346, April.
    6. Wang, Yong & Zhou, Hanqing, 2001. "Money and credit in liquidity provision," Journal of Banking & Finance, Elsevier, vol. 25(11), pages 2041-2067, November.
    7. Li, Jenny X., 1998. "Numerical analysis of a nonlinear operator equation arising from a monetary model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1335-1351, August.
    8. Brunnermeier, Markus K. & Niepelt, Dirk, 2019. "On the equivalence of private and public money," Journal of Monetary Economics, Elsevier, vol. 106(C), pages 27-41.
    9. William A. Barnett & Yi Liu & Haiyang Xu & Mark Jensen, 1996. "The CAPM Risk Adjustment Needed for Exact Aggregation over Financial Assets," Econometrics 9602003, University Library of Munich, Germany.
    10. Ragot, Xavier, 2014. "The case for a financial approach to money demand," Journal of Monetary Economics, Elsevier, vol. 62(C), pages 94-107.
    11. André C. Silva, 2012. "Rebalancing Frequency and the Welfare Cost of Inflation," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(2), pages 153-183, April.
    12. Peter Sellin, 2001. "Monetary Policy and the Stock Market: Theory and Empirical Evidence," Journal of Economic Surveys, Wiley Blackwell, vol. 15(4), pages 491-541, September.
    13. Gillman Max, 2020. "The welfare cost of inflation with banking time," The B.E. Journal of Macroeconomics, De Gruyter, vol. 20(1), pages 1-20, January.
    14. Wu, Yangru & Zhang, Junxi, 2000. "Monopolistic competition, increasing returns to scale, and the welfare costs of inflation," Journal of Monetary Economics, Elsevier, vol. 46(2), pages 417-440, October.
    15. Ghysels, E. & Hall, A., 1987. "Some Additional Specification Tests for Generalized Method of Moments Estimators with Macro-Economic Applications Part I : Theory," Cahiers de recherche 8724, Universite de Montreal, Departement de sciences economiques.
    16. Telyukova, Irina A. & Visschers, Ludo, 2013. "Precautionary money demand in a business-cycle model," Journal of Monetary Economics, Elsevier, vol. 60(8), pages 900-916.
    17. Williamson, Stephen D., 1996. "Sequential markets and the suboptimality of the Friedman rule," Journal of Monetary Economics, Elsevier, vol. 37(3), pages 549-572, June.
    18. Bona, Jerry L. & Li, Jenny X., 2001. "Stabilizing Monetary-Injection Policies," Journal of Economic Theory, Elsevier, vol. 98(1), pages 127-157, May.
    19. Jana Hromcová, 2004. "On The Income Velocity Of Money In A Cash-In-Advance Economy With Capital," Working Papers. Serie AD 2004-21, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    20. Nicolini, Juan Pablo, 1998. "More on the time consistency of monetary policy," Journal of Monetary Economics, Elsevier, vol. 41(2), pages 333-350, April.

    More about this item

    Keywords

    Money demand; money velocity; cash-in-advance;
    All these keywords.

    JEL classification:

    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:upf:upfgen:320. 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: the person in charge (email available below). General contact details of provider: http://www.econ.upf.edu/ .

    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.