IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v145y2010i4p1508-1524.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022-0531(09)00149-5
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. Green, Jerry R. & Scheinkman, Josè Alexandre (ed.), 1979. "General Equilibrium, Growth, and Trade," Elsevier Monographs, Elsevier, edition 1, number 9780122987502.
    6. 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.
    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. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Rocheteau, Guillaume & Wright, Randall, 2013. "Liquidity and asset-market dynamics," Journal of Monetary Economics, Elsevier, vol. 60(2), pages 275-294.
    2. 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.
    3. Athanasios Geromichalos & Juan M Licari & Jose Suarez-Lledo, 2007. "Monetary Policy and Asset Prices," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(4), pages 761-779, October.
    4. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
    5. 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.
    6. Irina A. Telyukova & Randall Wright, 2008. "A Model of Money and Credit, with Application to the Credit Card Debt Puzzle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(2), pages 629-647.
    7. 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.
    8. Rocheteau, Guillaume, 2011. "Payments and liquidity under adverse selection," Journal of Monetary Economics, Elsevier, vol. 58(3), pages 191-205.
    9. 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.
    10. Jacquet, Nicolas L. & Tan, Serene, 2012. "Money and asset prices with uninsurable risks," Journal of Monetary Economics, Elsevier, vol. 59(8), pages 784-797.
    11. Lukas Altermatt & Kohei Iwasaki & Randall Wright, 2023. "General Equilibrium with Multiple Liquid Assets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 267-291, December.
    12. Ricardo Lagos, 2011. "Asset Prices, Liquidity, and Monetary Policy in an Exchange Economy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(s2), pages 521-552, October.
    13. Benjamin Lester & Andrew Postlewaite & Randall Wright, 2008. "Information, Liquidity and Asset Prices," PIER Working Paper Archive 08-039, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    14. Herrenbrueck, Lucas, 2014. "Quantitative Easing and the Liquidity Channel of Monetary Policy," MPRA Paper 70686, University Library of Munich, Germany, revised 10 Apr 2016.
    15. Athanasios Geromichalos & Lucas Herrenbrueck & Sukjoon Lee, 2023. "The Strategic Determination of the Supply of Liquid Assets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 49, pages 1-36, July.
    16. Athanasios Geromichalos & Lucas Herrenbrueck, 2016. "Monetary Policy, Asset Prices, and Liquidity in Over‐the‐Counter Markets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(1), pages 35-79, February.
    17. Geromichalos, Athanasios & Herrenbrueck, Lucas M. & Salyer, Kevin D., 2016. "A search-theoretic model of the term premium," Theoretical Economics, Econometric Society, vol. 11(3), September.
    18. Li, Ying-Syuan & Li, Yiting, 2013. "Liquidity and asset prices: A new monetarist approach," Journal of Monetary Economics, Elsevier, vol. 60(4), pages 426-438.
    19. David Andolfatto & Fernando Martin, 2013. "Information Disclosure and Exchange Media," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(3), pages 527-539, July.
    20. Ricardo Lagos, 2010. "Asset prices, liquidity, and monetary policy in the search theory of money," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 303-310.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jetheo:v:145:y:2010:i:4:p:1508-1524. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.