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Stability of steady states in a model of pleasant monetarist arithmetic

  • Marco A. Espinosa-Vega
  • Steven Russell

In this paper the authors study the stability properties of the alternative steady-state equilibria that arise in a neoclassical production model that delivers pleasant monetarist arithmetic. They show that if the government’s monetary policy rule involves a fixed money supply growth rate, then “pleasant arithmetic” steady states—steady states from which a permanent increase in the money growth and inflation rates is associated with a permanent decrease in the real interest rate and a permanent increase in the level of output—are dynamically stable.

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Paper provided by Federal Reserve Bank of Atlanta in its series FRB Atlanta Working Paper with number 2001-20.

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Date of creation: 2001
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Handle: RePEc:fip:fedawp:2001-20
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  1. Thomas J. Sargent & Neil Wallace, 1981. "Some unpleasant monetarist arithmetic," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall.
  2. Joydeep Bhattacharya & Mark G. Guzman & Elisabeth Huybens & Bruce D. Smith, 1995. "Monetary, Fiscal, and Bank Regulatory Policy in a Simple Monetary Growth Model," Working Papers 9501, Centro de Investigacion Economica, ITAM.
  3. Sargent, Thomas J. & Wallace, Neil, 1976. "Rational expectations and the theory of economic policy," Journal of Monetary Economics, Elsevier, vol. 2(2), pages 169-183, April.
  4. Bullard, James & Russell, Steven, 1999. "An empirically plausible model of low real interest rates and unbacked government debt," Journal of Monetary Economics, Elsevier, vol. 44(3), pages 477-508, December.
  5. Marco Espinosa & Steven Russell, 1998. "Can a Policy of Higher Inflation Reduce Real Interests in the Long Run?," Canadian Journal of Economics, Canadian Economics Association, vol. 31(1), pages 92-103, February.
  6. Marco A. Espinosa-Vega & Steven Russell, 1998. "The long-run real effects of monetary policy: Keynesian predictions from a neoclassical model," FRB Atlanta Working Paper 98-6, Federal Reserve Bank of Atlanta.
  7. Bruce D. Smith, 1984. "Money and inflation in colonial Massachusetts," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win.
  8. James B. Bullard & Steven Russell, 2004. "How costly is sustained low inflation for the U.S. economy?," Review, Federal Reserve Bank of St. Louis, issue May, pages 35-68.
  9. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
  10. Michael R. Darby, 1984. "Some Pleasant Monetarist Arithmetic," NBER Working Papers 1295, National Bureau of Economic Research, Inc.
  11. Joydeep Bhattacharya & Noritaka Kudoh, 2002. "Tight money policies and inflation revisited," Canadian Journal of Economics, Canadian Economics Association, vol. 35(2), pages 185-217, May.
  12. Bruce Smith & J. Bhattacharya & Mark Guzman, 1998. "Some Even More Unpleasant Monetarist Arithmetic," Canadian Journal of Economics, Canadian Economics Association, vol. 31(3), pages 596-623, August.
  13. Neil Wallace, 1984. "Some of the choices for monetary policy," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win.
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