A Dynamic IS-LM Model with Adaptive Expectations
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.
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- 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.
- Bennett T. McCallum & Edward Nelson, 1997. "An Optimizing IS-LM Specification for Monetary Policy and Business Cycle Analysis," NBER Working Papers 5875, National Bureau of Economic Research, Inc.
- Bennett T. McCallum & Edward Nelson, "undated". "An Optimizing IS-LM Specification for Monetary Policy and Business Cycle Analysis," GSIA Working Papers 1997-71, Carnegie Mellon University, Tepper School of Business.
- 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.
- 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.
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