A Dynamic IS-LM Model with Adaptive Expectations
AbstractWe 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.
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Bibliographic InfoPaper provided by Bucharest University of Economics, Center for Advanced Research in Finance and Banking - CARFIB in its series Advances in Economic and Financial Research - DOFIN Working Paper Series with number 15.
Date of creation: Aug 2008
Date of revision:
steady state; Lucas type AS function; Friedman type monetary policy rule; stability conditions;
Find related papers by 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
- E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Miguel Casares & Bennett T. McCallum, 2000.
"An Optimizing IS-LM Framework with Endogenous Investment,"
NBER Working Papers
7908, National Bureau of Economic Research, Inc.
- 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.
- Umberto Neri & Beatrice Venturi, 2007. "Stability and bifurcations in IS-LM economic models," International Review of Economics, Springer, vol. 54(1), pages 53-65, March.
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