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The Role of Money in Two Alternative Models: When is the Friedman Rule Optimal, and Why?

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Author Info
Bhattacharya, Joydeep
Haslag, Joseph
Russell, Steven

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Abstract

In models of money with an infinitely-lived representative agent (ILRA models), the optimal monetary policy is almost always the Friedman rule. Overlapping generations (OG) models are different: in this paper, we study how they are different, and why. We investigate the welfare properties of monetary policy in a simple OG model under two different types of money demand specifications and under two alternative assumptions about the generational timing of taxes for money retirement. We find that the Friedman rule is generally not the policy that maximizes steady-state utility. We conclude that the key difference between ILRA and OG monetary models is that in the latter, the standard method for constructing a monetary regime causes transactions involving money to become intergenerational transfers. Overlapping generations are different in this regard; we study how they are different and why.

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Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 11950.

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Date of creation: 17 May 2004
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Publication status: Published in Journal of Monetary Economics, 2005, Vol. 52, No. 8, pp. 1401-1433.
Handle: RePEc:isu:genres:11950

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E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Smith, Bruce D, 1991. "Interest on Reserves and Sunspot Equilibria: Friedman's Proposal Reconsidered," Review of Economic Studies, Blackwell Publishing, vol. 58(1), pages 93-105, January. [Downloadable!] (restricted)
    Other versions:
  2. Correia, Maria Isabel Horta & Teles, Pedro, 1996. "Is the Friedman Rule Optimal When Money is an Intermediate Good?," CEPR Discussion Papers 1287, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  3. Freeman, Scott, 1987. "Reserve requirements and optimal seigniorage," Journal of Monetary Economics, Elsevier, vol. 19(2), pages 307-314, March. [Downloadable!] (restricted)
  4. Bruce D. Smith, 2002. "Monetary Policy, Banking Crises, and the Friedman Rule," American Economic Review, American Economic Association, vol. 92(2), pages 128-134, May. [Downloadable!] (restricted)
  5. Schreft, Stacey L. & Smith, Bruce D., 1997. "Money, Banking, and Capital Formation," Journal of Economic Theory, Elsevier, vol. 73(1), pages 157-182, March. [Downloadable!] (restricted)
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  6. Freeman, Scott, 1993. "Resolving Differences over the Optimal Quantity of Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 25(4), pages 801-11, November. [Downloadable!] (restricted)
  7. Bruce Champ & Bruce D. Smith & Stephen D. Williamson, 1996. "Currency Elasticity and Banking Panics: Theory and Evidence," Canadian Journal of Economics, Canadian Economics Association, vol. 29(4), pages 828-64, November. [Downloadable!] (restricted)
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  8. Townsend, Robert M, 1987. "Economic Organization with Limited Communication," American Economic Review, American Economic Association, vol. 77(5), pages 954-71, December. [Downloadable!] (restricted)
  9. Rapach, David E, 2003. " International Evidence on the Long-Run Impact of Inflation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(1), pages 23-48, February.
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  11. Freeman, Scott & Haslag, Joseph H, 1996. "On the Optimality of Interest-Bearing Reserves in Economies of Overlapping Generations," Economic Theory, Springer, vol. 7(3), pages 557-65, April.
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  12. V. V. Chari & Lawrence J. Christiano & Patrick J. Kehoe, 1993. "Optimality of the Friedman Rule in Economies with Distorting Taxes," NBER Working Papers 4443, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  13. Bullard, James & Keating, John W., 1995. "The long-run relationship between inflation and output in postwar economies," Journal of Monetary Economics, Elsevier, vol. 36(3), pages 477-496, December. [Downloadable!] (restricted)
  14. Peter N. Ireland, 2001. "The Real Balance Effect," NBER Working Papers 8136, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  15. Weil, Philippe, 1991. "Is Money Net Wealth?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(1), pages 37-53, February. [Downloadable!] (restricted)
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  20. Robert King & Mark W. Watson, 1992. "Testing Long Run Neutrality," NBER Working Papers 4156, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  21. Grandmont, Jean-Michel & Younes, Yves, 1973. "On the Efficiency of a Monetary Equilibrium," Review of Economic Studies, Blackwell Publishing, vol. 40(2), pages 149-65, April. [Downloadable!] (restricted)
  22. 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. [Downloadable!] (restricted)
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  23. Joydeep Bhattacharya & Joseph H. Haslag, 2001. "On the Use of the Inflation Tax When Nondistortionary Taxes Are Available," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(4), pages 823-841, October. [Downloadable!] (restricted)
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  24. Kimbrough, Kent P., 1986. "The optimum quantity of money rule in the theory of public finance," Journal of Monetary Economics, Elsevier, vol. 18(3), pages 277-284, November. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Bhattacharya, Joydeep & Singh, Rajesh, 2006. "On the Usefulness of the Constrained Planning Problem in a Model of Money," Staff General Research Papers 12660, Iowa State University, Department of Economics.
  2. Bhattacharya, Joydeep & Singh, Rajesh, 2005. "Optimal Choice of Monetary Instruments in an Economy with Real and Liquidity Shocks," Staff General Research Papers 12355, Iowa State University, Department of Economics.
  3. Cyril Monnet & William Roberds, 2006. "Credit and the no-surcharge rule," Working Paper 2006-25, Federal Reserve Bank of Atlanta. [Downloadable!]
  4. Alexandre B. Cunha, 2005. "The Optimality of the Friedman Rule When Some Distorting Taxes Are Exogenous," IBMEC RJ Economics Discussion Papers 2005-06, Economics Research Group, IBMEC Business School - Rio de Janeiro. [Downloadable!]
    Other versions:
  5. Peter Ireland, 2005. "The liquidity trap, the real balance effect, and the Friedman rule," Working Papers 05-3, Federal Reserve Bank of Boston. [Downloadable!]
    Other versions:
  6. Joydeep Bhattacharya & Joseph H. Haslag & Antoine Martin, 2004. "Heterogeneity, redistribution, and the Friedman rule," Research Working Paper RWP 04-01, Federal Reserve Bank of Kansas City. [Downloadable!]
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  7. Carlos Gustavo Machicado, 2007. "Growth and Banking Structure in a Partially Dollarized Economy," Development Research Working Paper Series 02/2007, Institute for Advanced Development Studies. [Downloadable!]
  8. Aleksander Berentsen & Carlo Strub, 2008. "Central Bank Design with Heterogeneous Agents," IEW - Working Papers iewwp365, Institute for Empirical Research in Economics - IEW. [Downloadable!]
  9. Carlos Gustavo Machicado, 2006. "Liquidity Shocks and the Dollarization of a Banking System," Development Research Working Paper Series 09/2006, Institute for Advanced Development Studies. [Downloadable!]
  10. Peter Ireland, 2005. "EconomicDynamics Interviews Peter Ireland on Money and the Business Cycle," EconomicDynamics Newsletter, Review of Economic Dynamics, vol. 7(1), November. [Downloadable!]
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