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On the Friedman Rule with Heterogeneous Agents

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  • A. Berentsen
  • C. Strub

Abstract

We consider a general equilibrium model where monetary policy has redistributive effects. Agents have stochastic preferences and face random buying and selling opportunities. We show that the Friedman rule is just the second best policy. However, the Friedman rule is Pareto optimal. It requires to set the gross growth rate of the money supply equal to the discount factor of the most patient agents. Second, we look at the real effects of a money supply shock. In contrast to standard infinitely-lived-representative-agent models, under the Friedman rule a positive shock increases aggregate production and consumption. Interestingly, the shock has no real consequences if monetary policy deviates from the Friedman rule

Suggested Citation

  • A. Berentsen & C. Strub, 2004. "On the Friedman Rule with Heterogeneous Agents," Econometric Society 2004 Far Eastern Meetings 609, Econometric Society.
  • Handle: RePEc:ecm:feam04:609
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    File URL: http://www.carlo-strub.ch/oec/papers/BerentsenStrub2004.pdf
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    References listed on IDEAS

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    1. Aleksander Berentsen & Gabriele Camera & C hristopher W aller, 2005. "The Distribution Of Money Balances And The Nonneutrality Of Money," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 465-487, May.
    2. Joseph H. Haslag & Antoine Martin, 2003. "Optimality of the Friedman rule in overlapping generations model with spatial separation," Research Working Paper RWP 03-03, Federal Reserve Bank of Kansas City.
    3. Guillaume Rocheteau & Randall Wright, 2005. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 175-202, January.
    4. Joydeep Bhattacharya & Joseph H. Haslag & Antoine Martin, 2005. "Heterogeneity, Redistribution, And The Friedman Rule," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 437-454, May.
    5. Ricardo Lagos & Randall Wright, 2005. "A Unified Framework for Monetary Theory and Policy Analysis," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 463-484, June.
    6. Aruoba, S. Boragan & Waller, Christopher J. & Wright, Randall, 2011. "Money and capital," Journal of Monetary Economics, Elsevier, vol. 58(2), pages 98-116, March.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Friedman rule; heterogeneity; monetary policy;

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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