IDEAS home Printed from https://ideas.repec.org/p/kan/wpaper/201310.html
   My bibliography  Save this paper

Determinacy and Indeterminacy in Monetary Policy Rules with Money

Author

Listed:
  • John Keating

    (Department of Economics, The University of Kansas)

  • Andrew Lee Smith

    (Department of Economics, The University of Kansas)

Abstract

Does Friedman’s k-percent rule guarantee a unique equilibrium outcome? We show analytically the answer to this question is sensitive to the method of aggregation. Focusing on broad measures of money, we show that fixing the growth rate of the true monetary aggregate will generate a unique rational expectations equilibrium. Since the true monetary aggregate is parametric, we show this determinacy result extends to the non-parametric Divisia monetary aggregate growth rule. Interestingly, Friedman’s proposal to fix the growth rate of the broad simple-sum monetary aggregate is shown to result in indeterminacy stemming from this aggregate’s inaccuracy in tracking the true monetary aggregate. Determinacy regions of interest rate rules reacting to the growth rate of monetary aggregates are also discussed and a novel Taylor principle is shown to hold for such rules when the monetary aggregate is accurately measured. All of these results are presented in the framework of the canonical New-Keynesian model.

Suggested Citation

  • John Keating & Andrew Lee Smith, 2013. "Determinacy and Indeterminacy in Monetary Policy Rules with Money," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201310, University of Kansas, Department of Economics.
    • Handle: RePEc:kan:wpaper:201310
    as

    Download full text from publisher

    File URL: http://www2.ku.edu/~kuwpaper/2013Papers/201310.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. McCallum, Bennett T. & Nelson, Edward, 2010. "Money and Inflation: Some Critical Issues," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 3, pages 97-153, Elsevier.
    2. Leeper, Eric M., 1991. "Equilibria under 'active' and 'passive' monetary and fiscal policies," Journal of Monetary Economics, Elsevier, vol. 27(1), pages 129-147, February.
    3. Fabio Canova & Tobias Menz, 2011. "Does Money Matter in Shaping Domestic Business Cycles? An International Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(4), pages 577-607, June.
    4. Ball, Laurence, 2001. "Another look at long-run money demand," Journal of Monetary Economics, Elsevier, vol. 47(1), pages 31-44, February.
    5. Honkapohja, Seppo & Evans, George W., 2003. "Freidman's Money Supply Rule versus Optimal Interest Rate Policy," CEPR Discussion Papers 3883, C.E.P.R. Discussion Papers.
    6. McCallum, Bennett T., 1998. "Solutions to linear rational expectations models: a compact exposition," Economics Letters, Elsevier, vol. 61(2), pages 143-147, November.
    7. Jordi Galí, 2008. "Introduction to Monetary Policy, Inflation, and the Business Cycle: An Introduction to the New Keynesian Framework," Introductory Chapters, in: Monetary Policy, Inflation, and the Business Cycle: An Introduction to the New Keynesian Framework, Princeton University Press.
    8. Belongia, Michael T. & Ireland, Peter N., 2014. "The Barnett critique after three decades: A New Keynesian analysis," Journal of Econometrics, Elsevier, vol. 183(1), pages 5-21.
    9. George W. Evans & Seppo Honkapohja, 2003. "Friedman's Money Supply Rule vs. Optimal Interest Rate Policy," Scottish Journal of Political Economy, Scottish Economic Society, vol. 50(5), pages 550-566, November.
    10. Michael T. Belongia & Jane M. Binner (ed.), 2000. "Divisia Monetary Aggregates," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-28823-2.
    11. William Barnett & Apostolos Serletis & W. Erwin Diewert, 2005. "The Theory of Monetary Aggregation (book front matter)," Macroeconomics 0511008, University Library of Munich, Germany.
    12. Barnett, William A., 2012. "Getting it Wrong: How Faulty Monetary Statistics Undermine the Fed, the Financial System, and the Economy," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262516888, December.
    13. Christopher A. Sims & Tao Zha, 2006. "Were There Regime Switches in U.S. Monetary Policy?," American Economic Review, American Economic Association, vol. 96(1), pages 54-81, March.
    14. John Keating & Andrew Lee Smith, 2013. "Price Versus Financial Stability: A role for money in Taylor rules?," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201307, University of Kansas, Department of Economics.
    15. repec:zbw:bofrdp:2003_010 is not listed on IDEAS
    16. Belongia, Michael T, 1996. "Measurement Matters: Recent Results from Monetary Economics Reexamined," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 1065-1083, October.
    17. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    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. Qureshi, Irfan, 2018. "Money Aggregates and Determinacy : A Reinterpretation of Monetary Policy During the Great Inflation," The Warwick Economics Research Paper Series (TWERPS) 1156, University of Warwick, Department of Economics.
    2. Qureshi, Irfan, 2016. "Monetarism, Indeterminacy and the Great Inflation," The Warwick Economics Research Paper Series (TWERPS) 1123, University of Warwick, Department of Economics.
    3. John W. Keating & Logan J. Kelly & A. Lee Smith & Victor J. Valcarcel, 2019. "A Model of Monetary Policy Shocks for Financial Crises and Normal Conditions," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(1), pages 227-259, February.
    4. repec:wrv:wpaper:1002 is not listed on IDEAS

    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. John W. Keating & Logan J. Kelly & A. Lee Smith & Victor J. Valcarcel, 2019. "A Model of Monetary Policy Shocks for Financial Crises and Normal Conditions," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(1), pages 227-259, February.
    2. Richard G. Anderson & Marcelle Chauvet & Barry Jones, 2015. "Nonlinear Relationship Between Permanent and Transitory Components of Monetary Aggregates and the Economy," Econometric Reviews, Taylor & Francis Journals, vol. 34(1-2), pages 228-254, February.
    3. Barnett, William A. & Chauvet, Marcelle, 2011. "How better monetary statistics could have signaled the financial crisis," Journal of Econometrics, Elsevier, vol. 161(1), pages 6-23, March.
    4. John Keating & Andrew Lee Smith, 2013. "Price Versus Financial Stability: A role for money in Taylor rules?," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201307, University of Kansas, Department of Economics.
    5. William A. Barnett & Marcelle Chauvet & Heather L. R. Tierney, 2011. "Measurement Error in Monetary Aggregates: A Markov Switching Factor Approach," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 7, pages 207-249, World Scientific Publishing Co. Pte. Ltd..
    6. Belongia, Michael T. & Ireland, Peter N., 2015. "A “Working” Solution To The Question Of Nominal Gdp Targeting," Macroeconomic Dynamics, Cambridge University Press, vol. 19(3), pages 508-534, April.
    7. Barnett, William A. & Su, Liting, 2020. "Financial Firm Production Of Inside Monetary And Credit Card Services: An Aggregation Theoretic Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 24(1), pages 130-160, January.
    8. Ryan S. Mattson & Philippe de Peretti, 2014. "Investigating the Role of Real Divisia Money in Persistence-Robust Econometric Models," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00984827, HAL.
    9. William A. Barnett & Marcelle Chauvet, 2011. "International Financial Aggregation and Index Number Theory: A Chronological Half-Century Empirical Overview," World Scientific Book Chapters, in: Financial Aggregation And Index Number Theory, chapter 1, pages 1-51, World Scientific Publishing Co. Pte. Ltd..
    10. Michael T. Belongia & Peter N. Ireland, 2015. "Interest Rates and Money in the Measurement of Monetary Policy," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 33(2), pages 255-269, April.
    11. Apostolos Serletis & Khandokar Istiak & Periklis Gogas, 2013. "Interest Rates, Leverage, and Money," Open Economies Review, Springer, vol. 24(1), pages 51-78, February.
    12. Periklis Gogas & Theophilos Papadimitriou & Elvira Takli, 2013. "Comparison of simple sum and Divisia monetary aggregates in GDP forecasting: a support vector machines approach," Economics Bulletin, AccessEcon, vol. 33(2), pages 1101-1115.
    13. William Barnett & Liting Su, 2014. "The Joint Services of Money and Credit," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201407, University of Kansas, Department of Economics, revised Dec 2014.
    14. William Barnett & Liting Su, 2017. "Financial Firm Production Of Inside Monetary And Credit Card Services: An Aggregation Theoretic Approach1," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201707, University of Kansas, Department of Economics, revised Oct 2017.
    15. William Barnett, 2013. "Friedman and Divisia Monetary Measures," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201312, University of Kansas, Department of Economics, revised Dec 2013.
    16. Matteo Barigozzi & Antonio M. Conti, 2018. "On the Stability of Euro Area Money Demand and Its Implications for Monetary Policy," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 80(4), pages 755-787, August.
    17. William Barnett & Marcelle Chauvet & Danilo Leiva-Leon & Liting Su, 2016. "The Credit-Card-Services Augmented Divisia Monetary Aggregates," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201604, University of Kansas, Department of Economics, revised Aug 2016.
    18. Serletis, Apostolos & Xu, Libo, 2020. "Functional monetary aggregates, monetary policy, and business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 121(C).
    19. Michael T. Belongia & Peter N. Ireland, 2021. "A Classical View of the Business Cycle," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 53(2-3), pages 333-366, March.
    20. Elger Thomas & Binner Jane M., 2004. "The UK Household Sector Demand for Risky Money," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-22, March.

    More about this item

    Keywords

    Friedman’s k-percent Rule; Determinacy; Monetary Aggregates; Taylor Rules;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • E51 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Money Supply; Credit; Money Multipliers
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
    • E60 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:kan:wpaper:201310. 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: Professor Zongwu Cai (email available below). General contact details of provider: https://edirc.repec.org/data/deuksus.html .

    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.