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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.

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  • 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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    1. 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.
    2. Green, Jerry R. & Scheinkman, Josè Alexandre (ed.), 1979. "General Equilibrium, Growth, and Trade," Elsevier Monographs, Elsevier, edition 1, number 9780122987502.
    3. Lagos, Ricardo & Wright, Randall, 2003. "Dynamics, cycles, and sunspot equilibria in 'genuinely dynamic, fundamentally disaggregative' models of money," Journal of Economic Theory, Elsevier, vol. 109(2), pages 156-171, April.
    4. W. A. Brock, 1970. "On Existence of Weakly Maximal Programmes in a Multi-Sector Economy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(2), pages 275-280.
    5. Lagos, Ricardo, 2010. "Asset prices and liquidity in an exchange economy," Journal of Monetary Economics, Elsevier, vol. 57(8), pages 913-930, November.
    6. 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.
    7. Edward J. Green & Ruilin Zhou, 2002. "Dynamic Monetary Equilibrium in a Random Matching Economy," Econometrica, Econometric Society, vol. 70(3), pages 929-969, May.
    8. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
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    1. Lagos, Ricardo, 2010. "Asset prices and liquidity in an exchange economy," Journal of Monetary Economics, Elsevier, vol. 57(8), pages 913-930, November.
    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. 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.
    4. Jonathan Chiu & Tsz-Nga Wong, 2015. "On the Essentiality of E-Money," Staff Working Papers 15-43, Bank of Canada.
    5. 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.
    6. 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.
    7. Ricardo Lagos & Shengxing Zhang, 2019. "A Monetary Model of Bilateral Over-the-Counter Markets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 33, pages 205-227, July.
    8. Ricardo Lagos, 2011. "Asset Prices, Liquidity, and Monetary Policy in an Exchange Economy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 521-552, October.
    9. Gara Afonso & Ricardo Lagos, 2015. "Trade Dynamics in the Market for Federal Funds," Econometrica, Econometric Society, vol. 83, pages 263-313, January.
    10. Stephen D. Williamson, 2015. "Keynesian Inefficiency and Optimal Policy: A New Monetarist Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 47(S2), pages 197-222, June.
    11. Ricardo Lagos, 2010. "Asset prices, liquidity, and monetary policy in the search theory of money," Quarterly Review, Federal Reserve Bank of Minneapolis, issue July, pages 14-20.
    12. Moscarini, Giuseppe & Wright, Randall, 2010. "Introduction to Search Theory and Applications," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1319-1324, July.
    13. Ricardo Lagos & Shengxing Zhang, 2020. "Turnover Liquidity and the Transmission of Monetary Policy," American Economic Review, American Economic Association, vol. 110(6), pages 1635-1672, June.
    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.
    16. Aleksander Berentsen & Alessandro Marchesiani & Christopher J. Waller, 2010. "Channel systems: why is there a positive spread?," IEW - Working Papers 517, Institute for Empirical Research in Economics - University of Zurich.
    17. John Duffy & Daniela Puzzello, 2019. "The Friedman Rule in the Laboratory," 2019 Meeting Papers 541, Society for Economic Dynamics.
    18. 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.
    19. Jacquet, Nicolas L. & Tan, Serene, 2012. "Money and asset prices with uninsurable risks," Journal of Monetary Economics, Elsevier, vol. 59(8), pages 784-797.
    20. Rocheteau, Guillaume & Wang, Lu, 2023. "Endogenous liquidity and volatility," Journal of Economic Theory, Elsevier, vol. 210(C).
    21. John Duffy & Daniela Puzzello, 2022. "The Friedman Rule: Experimental Evidence," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(2), pages 671-698, May.
    22. Jonathan Chiu & Tsz-Nga Wong, 2015. "On the Essentiality of E-Money," Staff Working Papers 15-43, Bank of Canada.

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