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The Tobin effect and the Friedman rule

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Listed:
  • Joydeep Bhattacharya
  • Joseph H. Haslag
  • Antoine Martin

Abstract

This paper addresses whether the Friedman rule can be optimal in an economy in which the Tobin effect is operative. We present an overlapping generations economy with capital in which limited communication and stochastic relocation create an endogenous transaction role for fiat money. We assume a production function with a knowledge externality (Romer-style) that nests economies with endogenous growth (AK form) and those with no long-run growth (the Diamond model). With logarithmic utility, the \\"anti-Tobin effect\\" is operative, and the Friedman rule is optimal (that is, stationary-welfare-maximizing) regardless of whether or not there is long-run growth. Under the more general CRRA (constant relative risk aversion) form of preferences, we show that an operative anti-Tobin effect is a sufficient condition for the Friedman rule to be optimal. Also, contrary to models with linear storage technologies, our model shows that zero inflation is not optimal.

Suggested Citation

  • Joydeep Bhattacharya & Joseph H. Haslag & Antoine Martin, 2005. "The Tobin effect and the Friedman rule," Staff Reports 224, Federal Reserve Bank of New York.
  • Handle: RePEc:fip:fednsr:224
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    References listed on IDEAS

    as
    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Levine, David K., 1991. "Asset trading mechanisms and expansionary policy," Journal of Economic Theory, Elsevier, vol. 54(1), pages 148-164, June.
    3. Beatrix Paal & Bruce D. Smith, 2013. "The sub-optimality of the Friedman rule and the optimum quantity of money," Annals of Economics and Finance, Society for AEF, vol. 14(2), pages 911-948, November.
    4. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Win), pages 14-23.
    5. Joe Haslag & Joydeep Bhattacharya & Steven Russell, 2003. "Understanding the Roles of Money, or When is the Friedman Rule Optimal, and Why?," Working Papers 0301, Department of Economics, University of Missouri.
    6. Theodore Palivos, 2005. "Optimal monetary policy with heterogeneous agents: a case for inflation," Oxford Economic Papers, Oxford University Press, vol. 57(1), pages 34-50, January.
    7. Stacey L. Schreft & Bruce D. Smith, 1998. "The Effects of Open Market Operations in a Model of Intermediation and Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(3), pages 519-550.
    8. 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.
    9. Weiss, Laurence M, 1980. "The Effects of Money Supply on Economic Welfare in the Steady State," Econometrica, Econometric Society, vol. 48(3), pages 565-576, April.
    10. Theodore Palivos, 1999. "Optimal Monetary Policy with Heterogeneous Agents: Is There a Case for Inflation?," Computing in Economics and Finance 1999 353, Society for Computational Economics.
    Full references (including those not matched with items on IDEAS)

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    Keywords

    Monetary policy; Friedman; Milton; Money supply; Inflation (Finance);
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