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

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  • Arend, Mario

Abstract

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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    File URL: https://mpra.ub.uni-muenchen.de/17908/1/MPRA_paper_17908.pdf
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    References listed on IDEAS

    as
    1. 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.
    2. Svensson, Lars E. O., 1999. "Inflation targeting as a monetary policy rule," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 607-654, June.
    3. 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.
    4. Orphanides, Athanasios, 2003. "Monetary policy evaluation with noisy information," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 605-631, April.
    5. Lars E. O. Svensson, 1999. "Inflation Targeting: Some Extensions," Scandinavian Journal of Economics, Wiley Blackwell, vol. 101(3), pages 337-361, September.
    6. Svensson, Lars E. O., 2000. "Open-economy inflation targeting," Journal of International Economics, Elsevier, vol. 50(1), pages 155-183, February.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

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

    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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