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Some results on the optimality and implementation of the Friedman rule in the Search Theory of Money

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  • Lagos, Ricardo

Abstract

I characterize a large family of monetary policies that implement Milton Friedman's prescription of zero nominal interest rates in a monetary search economy with multiple assets and aggregate uncertainty. This family of optimal policies is defined by two properties: (i) the money supply must be arbitrarily close to zero for an infinite number of dates, and (ii) asymptotically, on average (over the dates when fiat money plays an essential role), the growth rate of the money supply must be at least as large as the rate of time preference.

Suggested Citation

  • Lagos, Ricardo, 2010. "Some results on the optimality and implementation of the Friedman rule in the Search Theory of Money," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1508-1524, July.
  • Handle: RePEc:eee:jetheo:v:145:y:2010:i:4:p:1508-1524
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    References listed on IDEAS

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    1. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    2. 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.
    3. Lagos, Ricardo, 2010. "Asset prices and liquidity in an exchange economy," Journal of Monetary Economics, Elsevier, vol. 57(8), pages 913-930, November.
    4. Lagos, Ricardo & Rocheteau, Guillaume, 2008. "Money and capital as competing media of exchange," Journal of Economic Theory, Elsevier, vol. 142(1), pages 247-258, September.
    5. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
    6. W. A. Brock, 1970. "On Existence of Weakly Maximal Programmes in a Multi-Sector Economy," Review of Economic Studies, Oxford University Press, vol. 37(2), pages 275-280.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Gara Afonso & Ricardo Lagos, 2015. "Trade Dynamics in the Market for Federal Funds," Econometrica, Econometric Society, vol. 83, pages 263-313, January.
    2. Berentsen, Aleksander & Waller, Christopher, 2011. "Outside versus inside bonds: A ModiglianiâMiller type result for liquidity constrained economies," Journal of Economic Theory, Elsevier, vol. 146(5), pages 1852-1887, September.
    3. Gara Afonso & Ricardo Lagos, 2015. "The Over‐the‐Counter Theory of the Fed Funds Market: A Primer," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 47(S2), pages 127-154, June.
    4. Lagos, Ricardo, 2010. "Asset prices and liquidity in an exchange economy," Journal of Monetary Economics, Elsevier, vol. 57(8), pages 913-930, November.
    5. Jacquet, Nicolas L. & Tan, Serene, 2012. "Money and asset prices with uninsurable risks," Journal of Monetary Economics, Elsevier, vol. 59(8), pages 784-797.
    6. Shengxing Zhang & Ricardo Lagos, 2016. "Turnover Liquidity and the Transmission of Monetary Policy," 2016 Meeting Papers 1569, Society for Economic Dynamics.
    7. Aleksander Berentsen & Alessandro Marchesiani & Christopher Waller, 2014. "Floor Systems for Implementing Monetary Policy: Some Unpleasant Fiscal Arithmetic," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(3), pages 523-542, July.
    8. Jonathan Chiu & Tsz-Nga Wong, 2015. "On the Essentiality of E-Money," Staff Working Papers 15-43, Bank of Canada.
    9. repec:eee:dyncon:v:79:y:2017:i:c:p:184-200 is not listed on IDEAS
    10. Williamson, Stephen & Wright, Randall, 2010. "New Monetarist Economics: Models," Handbook of Monetary Economics,in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 2, pages 25-96 Elsevier.
    11. Huber, Samuel & Kim, Jaehong, 2017. "On the optimal quantity of liquid bonds," Journal of Economic Dynamics and Control, Elsevier, vol. 79(C), pages 184-200.
    12. Aleksander Berentsen & Alessandro Marchesiani & Christopher J. Waller, 2010. "Channel systems: Why is there a positive spread?," Working Papers 2010-049, Federal Reserve Bank of St. Louis.
    13. Moscarini, Giuseppe & Wright, Randall, 2010. "Introduction to Search Theory and Applications," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1319-1324, July.
    14. Ricardo Lagos, 2008. "The Research Agenda: Ricardo Lagos on Liquidity and the Search Theory of Money," EconomicDynamics Newsletter, Review of Economic Dynamics, vol. 10(1), November.
    15. Ricardo Lagos & Shengxing Zhang, 2015. "Monetary Exchange in Over-the-Counter Markets: A Theory of Speculative Bubbles, the Fed Model, and Self-fulfilling Liquidity Crises," NBER Working Papers 21528, National Bureau of Economic Research, Inc.

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