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A Dynamic IS-LM Model with Adaptive Expectations

Author

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  • Moisa Altar

    (Faculty of Finance and Banking, Bucharest University of Economics)

Abstract

We analyze the stability of a discrete-time dynamic model with an IS-LM structure. We assume that the Aggregate Supply function is of Lucas type, and the monetary policy rule is of Friedman type. The mechanism of expectations formation is assumed to be of adaptive type (Friedman-Cagan). In its final form, the model contains two state variables, namely money supply and expected inflation. From the mathematical point of view, it is an affine discrete-time system, whose stability properties are analyzed in the paper. We deduce sufficient conditions concerning the "learning coefficient" involved in the Friedman-Cagan type of forecast equation, so that the model is stable.

Suggested Citation

  • Moisa Altar, 2008. "A Dynamic IS-LM Model with Adaptive Expectations," Advances in Economic and Financial Research - DOFIN Working Paper Series 15, Bucharest University of Economics, Center for Advanced Research in Finance and Banking - CARFIB.
    • Handle: RePEc:cab:wpaefr:15
    as

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    References listed on IDEAS

    as
    1. Casares, Miguel & McCallum, Bennett T., 2006. "An optimizing IS-LM framework with endogenous investment," Journal of Macroeconomics, Elsevier, vol. 28(4), pages 621-644, December.
    2. McCallum, Bennett T & Nelson, Edward, 1999. "An Optimizing IS-LM Specification for Monetary Policy and Business Cycle Analysis," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(3), pages 296-316, August.
    3. De Cesare, Luigi & Sportelli, Mario, 2005. "A dynamic IS-LM model with delayed taxation revenues," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 233-244.
    4. Umberto Neri & Beatrice Venturi, 2007. "Stability and bifurcations in IS-LM economic models," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 54(1), pages 53-65, March.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    steady state; Lucas type AS function; Friedman type monetary policy rule; stability conditions;
    All these keywords.

    JEL classification:

    • A10 - General Economics and Teaching - - General Economics - - - General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian; Modern Monetary Theory
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)

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