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An Analytical Solution for the Interest Rate Reaction Function in a Neo- Keynesian Economy Using the Undetermined Coefficients Method


  • Arend, Mario


In this research note I propose the use of the undetermined coefficients method as an alternative approach to solve the Central Bank optimization problem in a neo-keynesian economy. The advantage of using this method is that it provides a theory as to how rational expectations are constructed, and how shocks in the economy are propagated, in order to find an analytical solution for the interest rate reaction function in an economy with a forward-looking behavior.

Suggested Citation

  • Arend, Mario, 2007. "An Analytical Solution for the Interest Rate Reaction Function in a Neo- Keynesian Economy Using the Undetermined Coefficients Method," MPRA Paper 17908, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:17908

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    References listed on IDEAS

    1. Svensson, Lars E. O., 1999. "Inflation targeting as a monetary policy rule," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 607-654, June.
    2. Glenn Rudebusch & Lars E.O. Svensson, 1999. "Policy Rules for Inflation Targeting," NBER Chapters,in: Monetary Policy Rules, pages 203-262 National Bureau of Economic Research, Inc.
    3. Svensson, Lars E. O., 2000. "Open-economy inflation targeting," Journal of International Economics, Elsevier, vol. 50(1), pages 155-183, February.
    4. Svensson, Lars E O, 1999. " Inflation Targeting: Some Extensions," Scandinavian Journal of Economics, Wiley Blackwell, vol. 101(3), pages 337-361, September.
    5. Sean Collins & Pierre L. Siklos, 2004. "Optimal Monetary Policy Rules and Inflation Targets: Are Australia, Canada, and New Zealand Different from the U.S.?," Open Economies Review, Springer, vol. 15(4), pages 347-362, October.
    6. Orphanides, Athanasios, 2003. "Monetary policy evaluation with noisy information," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 605-631, April.
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    More about this item


    undetermined coefficients method; neo-keynesian; rational expectations; interest rate; foward-looking; central bank optimization; new keynesian;

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis


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