Economically Sensible Solutions for Linear Rational Expectations Models with Forward and Backward Looking Dynamic Processes

Working Paper: NBER ID: w1398

Authors: Michael Mussa

Abstract: Using variants of a modified version of Dornbusch's model of price level and exchange rate dynamics, it is demonstrated that satisfaction of the formal condition for existence of a unigue non-explosive solution of a linear rational expectations model with forward and backward looking dynamic processes (equality of the number of stable roots with the number of independent backward looking processes) does not guarantee the economic sensibility of this solution, even if one accepts the usual arguments for excluding "speculative babbles" from the solutions of such models. Moreover, satisfaction of the formal condition for existence of an infinity of non-explosive solutions for such rational expectations models (more stable roots than independent backward looking processes) does not assure that any of these solutions is economically sensible.

Keywords: rational expectations; dynamic processes; economic sensibility

JEL Codes: E30; E52


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
number of stable roots (C62)economic sensibility (A13)
number of stable roots (C62)number of independent backward looking processes (C69)
number of stable roots (C62)multiple nonexplosive solutions (L72)
multiple nonexplosive solutions (L72)economic sensibility (A13)
model parameters (C51)economic interpretations (D46)
stable roots (C62)economic outcomes (F61)

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