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Deriving the Taylor Principle when the Central Bank Supplies Money

  • Davies, Ceri
  • Gillman, Max


    (Cardiff Business School)

  • Kejak, Michal

The paper presents a human-capital-based endogenous growth, cash-in-advance economy with endogenous velocity where exchange credit is produced in a decentralized banking sector, and money is supplied stochastically by the central bank. From this it derives an exact functional form for a general equilibrium “Taylor rule”. The inflation coefficient is always greater than one when the velocity of money exceeds one,velocity growth enters the equilibrium condition as a separate variable. The paper then successfully estimates the magnitude of the coefficient on inflation from 1000 samples of Monte Carlo simulated data. This shows that it would be spurious to conclude that the central bank has a reaction function with a strong response to inflation in a ‘Taylor principle’ sense, since it is only meeting fiscal needs through the inflation tax. The paper also estimates several deliberately misspecified models to show how an inflation coefficient of less than one can result from model misspecification. An inflation coefficient greater than one holds theoretically along the balanced growth path equilibrium, making it a sharply robust principle based on the economy’s underlying structural parameters.

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Paper provided by Cardiff University, Cardiff Business School, Economics Section in its series Cardiff Economics Working Papers with number E2012/20.

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Length: 36 pages
Date of creation: Aug 2012
Date of revision:
Handle: RePEc:cdf:wpaper:2012/20
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  1. John B. Taylor, 1998. "An Historical Analysis of Monetary Policy Rules," NBER Working Papers 6768, National Bureau of Economic Research, Inc.
  2. John H. Cochrane, 2007. "Determinacy and Identification with Taylor Rules," NBER Working Papers 13409, National Bureau of Economic Research, Inc.
  3. Szilárd Benk & Max Gillman & Michal Kejak, 2006. " Money Velocity in an Endogenous Growth Business Cycle with Credit Shocks," CDMA Conference Paper Series 0604, Centre for Dynamic Macroeconomic Analysis.
  4. Alina Carare & Robert Tchaidze, 2008. "The Use and Abuse of Taylor Rules: How Precisely Can We Estimate Them?," Working Papers 006-08, International School of Economics at TSU, Tbilisi, Republic of Georgia.
  5. Bennett T. McCallum & Edward Nelson, 1999. "Performance of Operational Policy Rules in an Estimated Semiclassical Structural Model," NBER Chapters, in: Monetary Policy Rules, pages 15-56 National Bureau of Economic Research, Inc.
  6. Clarida, Richard & Galí, Jordi & Gertler, Mark, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," CEPR Discussion Papers 2139, C.E.P.R. Discussion Papers.
  7. William Poole, 1969. "Optimal choice of monetary policy instruments in a simple stochastic macro model," Special Studies Papers 2, Board of Governors of the Federal Reserve System (U.S.).
  8. Michael Woodford, 2007. "How Important is Money in the Conduct of Monetary Policy?," Levine's Working Paper Archive 122247000000001419, David K. Levine.
  9. Benk, Szilárd & Gillman, Max & Kejak, Michal, 2009. "A Banking Explanation of the US Velocity of Money: 1919-2004," CEPR Discussion Papers 7544, C.E.P.R. Discussion Papers.
  10. Gillman, Max & Kejak, Michal, 2008. "Inflation, Investment and Growth: a Banking Approach," Cardiff Economics Working Papers E2008/18, Cardiff University, Cardiff Business School, Economics Section, revised Oct 2008.
  11. Ben S. Bernanke & Mark Gertler, 2001. "Should Central Banks Respond to Movements in Asset Prices?," American Economic Review, American Economic Association, vol. 91(2), pages 253-257, May.
  12. Richard Clarida & Jordi Galí & Mark Gertler, 1997. "Monetary policy rules and macroeconomic stability: Evidence and some theory," Economics Working Papers 350, Department of Economics and Business, Universitat Pompeu Fabra, revised May 1999.
  13. Carlstrom, Charles T. & Fuerst, Timothy S., 2001. "Timing and real indeterminacy in monetary models," Journal of Monetary Economics, Elsevier, vol. 47(2), pages 285-298, April.
  14. repec:ebl:ecbull:v:5:y:2007:i:21:p:1-7 is not listed on IDEAS
  15. Mehrling, Perry, 2006. "Mr. Woodford and the Challenge of Finance," Journal of the History of Economic Thought, Cambridge University Press, vol. 28(02), pages 161-170, June.
  16. Samuel Reynard, 2004. "Financial Market Participation and the Apparent Instability of Money Demand," Working Papers 2004-01, Swiss National Bank.
  17. Clarida, Richard & Gali, Jordi & Gertler, Mark, 1998. "Monetary policy rules in practice Some international evidence," European Economic Review, Elsevier, vol. 42(6), pages 1033-1067, June.
  18. N. Gregory Mankiw, 2001. "U. S. Monetary Policy During the 1990s," Harvard Institute of Economic Research Working Papers 1927, Harvard - Institute of Economic Research.
  19. Athanasios Orphanides, 2001. "Monetary Policy Rules Based on Real-Time Data," American Economic Review, American Economic Association, vol. 91(4), pages 964-985, September.
  20. Samuel Reynard, 2006. "Money and the Great Disinflation," Working Papers 2006-07, Swiss National Bank.
  21. Stephen G. Cecchetti & Hans Genberg & Sushil Wadhwani, 2002. "Asset Prices in a Flexible Inflation Targeting Framework," NBER Working Papers 8970, National Bureau of Economic Research, Inc.
  22. Sargent, Thomas & Surico, Paolo, 2008. "Monetary policies and low-frequency manifestations of the quantity theory," Discussion Papers 26, Monetary Policy Committee Unit, Bank of England.
  23. Diego Comin & Mark Gertler, 2003. "Medium Term Business Cycles," NBER Working Papers 10003, National Bureau of Economic Research, Inc.
  24. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  25. Alfred A. Haug & William G. Dewald, 2010. "Money, Output and Inflation in the Longer Term: Major Industrial Countries, 1880-2001," Working Papers 1013, University of Otago, Department of Economics, revised Sep 2010.
  26. Lucas, Robert E, Jr, 1980. "Two Illustrations of the Quantity Theory of Money," American Economic Review, American Economic Association, vol. 70(5), pages 1005-14, December.
  27. Patrick Fève & Stéphane Auray, 2002. "Interest Rate and Inflation in Monetary Models with Exogenous Money Growth Rule," Economics Bulletin, AccessEcon, vol. 5(1), pages 1-10.
  28. Taylor, John B. & Wieland, Volker, 2012. "Surprising comparative properties of monetary models: Results from a new model database," IMFS Working Paper Series 66, Goethe University Frankfurt, Institute for Monetary and Financial Stability (IMFS).
  29. Lawrence J. Christiano & Terry J. Fitzgerald, 2003. "The Band Pass Filter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 435-465, 05.
  30. Lawrence Christiano & Cosmin L. Ilut & Roberto Motto & Massimo Rostagno, 2010. "Monetary Policy and Stock Market Booms," NBER Working Papers 16402, National Bureau of Economic Research, Inc.
  31. Canzoneri, Matthew B. & Cumby, Robert E. & Diba, Behzad T., 2007. "Euler equations and money market interest rates: A challenge for monetary policy models," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1863-1881, October.
  32. Thomas J. Sargent & Paolo Surico, 2011. "Two Illustrations of the Quantity Theory of Money: Breakdowns and Revivals," American Economic Review, American Economic Association, vol. 101(1), pages 109-28, February.
  33. Chowdhury, Ibrahim & Schabert, Andreas, 2008. "Federal reserve policy viewed through a money supply lens," Journal of Monetary Economics, Elsevier, vol. 55(4), pages 825-834, May.
  34. repec:ebl:ecbull:v:5:y:2002:i:1:p:1-10 is not listed on IDEAS
  35. Morten O. Ravn & Harald Uhlig, 2002. "On adjusting the Hodrick-Prescott filter for the frequency of observations," The Review of Economics and Statistics, MIT Press, vol. 84(2), pages 371-375.
  36. Carl Walsh, 2001. "Speed Limit Policies: The Output Gap and Optimal Monetary Policy," CESifo Working Paper Series 609, CESifo Group Munich.
  37. Andreas Schabert, . "On the Equivalence of Money Growth and Interest Rate Policy," Working Papers 2003_6, Business School - Economics, University of Glasgow, revised Apr 2003.
  38. Clark, Jeffrey A, 1984. "Estimation of Economies of Scale in Banking Using a Generalized Functional Form," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 16(1), pages 53-68, February.
  39. William Poole, 1970. "Optimal Choice of Monetary Policy Instruments in a Simple Stochastic Macro Model," The Quarterly Journal of Economics, Oxford University Press, vol. 84(2), pages 197-216.
  40. Bennett T. McCallum, 2010. "Indeterminacy, Causality, and the Foundations of Monetary Policy Analysis," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 146(I), pages 107-120, March.
  41. Kristin Van Gaasbeck & Kevin Salyer, 2007. "Taking the Monetary Implications of a Monetary Model Seriously," Economics Bulletin, AccessEcon, vol. 5(21), pages 1-7.
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