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Sub-Optimality of the Friedman Rule in Townsend's Turnpike and Stochastic Relocation Models of Money: Do Finite Lives and Initial Dates Matter?

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  • Bhattacharya, Joydeep
  • Haslag, Joseph
  • Martin, Antoine

Abstract

The Friedman rule, a widely studied prescription for monetary policy, is optimal in Townsend's turnpike model of money; it is not so in the overlapping generations version of his stochastic relocation model of money. We investigate these monetary models in the light of this disparity. To that end, we create a modified version of the turnpike model that generates the same stationary monetary equilibria as does the two-period overlapping generations model with random relocation. We exploit this equivalence to explain the aforementioned disparity. We also discuss the importance of whether or not the economy has an initial date.

Suggested Citation

  • Bhattacharya, Joydeep & Haslag, Joseph & Martin, Antoine, 2005. "Sub-Optimality of the Friedman Rule in Townsend's Turnpike and Stochastic Relocation Models of Money: Do Finite Lives and Initial Dates Matter?," Staff General Research Papers Archive 12265, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genres:12265
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    References listed on IDEAS

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    1. Levine, David K., 1991. "Asset trading mechanisms and expansionary policy," Journal of Economic Theory, Elsevier, vol. 54(1), pages 148-164, June.
    2. Freeman, Scott, 1993. "Resolving Differences over the Optimal Quantity of Money," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 25(4), pages 801-811, November.
    3. Joseph H. Haslag & Antoine Martin, 2007. "Optimality of the Friedman Rule in an Overlapping Generations Model with Spatial Separation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(7), pages 1741-1758, October.
    4. Chari, V. V. & Christiano, Lawrence J. & Kehoe, Patrick J., 1996. "Optimality of the Friedman rule in economies with distorting taxes," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 203-223, April.
    5. 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.
    6. 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.
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    8. Townsend, Robert M, 1987. "Economic Organization with Limited Communication," American Economic Review, American Economic Association, vol. 77(5), pages 954-971, December.
    9. 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.
    10. Schreft, Stacey L. & Smith, Bruce D., 1997. "Money, Banking, and Capital Formation," Journal of Economic Theory, Elsevier, vol. 73(1), pages 157-182, March.
    11. Gahvari, Firouz, 1988. "Lump-sum taxation and the superneutrality and optimum quantity of money in life cycle growth models," Journal of Public Economics, Elsevier, vol. 36(3), pages 339-367, August.
    12. 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.
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    Cited by:

    1. Bhattacharya, Joydeep & Haslag, Joseph H. & Martin, Antoine, 2009. "Why does overnight liquidity cost more than intraday liquidity?," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1236-1246, June.
    2. Joseph H. Haslag & Antoine Martin, 2007. "Optimality of the Friedman Rule in an Overlapping Generations Model with Spatial Separation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(7), pages 1741-1758, October.
    3. Ho Wai-Ming, 2020. "Liquidity constraints, international trade, and optimal monetary policy," The B.E. Journal of Macroeconomics, De Gruyter, vol. 20(2), pages 1-29, June.
    4. Bhattacharya, Joydeep & Haslag, Joseph & Martin, Antoine, 2009. "Optimal monetary policy and economic growth," European Economic Review, Elsevier, vol. 53(2), pages 210-221, February.
    5. Eisei Ohtaki, 2023. "Climate change, financial intermediation, and monetary policy," Working Papers e179, Tokyo Center for Economic Research.
    6. Joseph H. Haslag & Joydeep Bhattacharya & Antoine Martin, 2007. "Money, output and the payment system: Optimal monetary policy in a model with hidden effort," Working Papers 0704, Department of Economics, University of Missouri.

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    More about this item

    Keywords

    Friedman rule; monetary policy; overlapping generations; turnpike;
    All these keywords.

    JEL classification:

    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E51 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Money Supply; Credit; Money Multipliers
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

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