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Global stochastic properties of dynamic models and their linear approximations

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  • Babus, Ana
  • de Vries, Casper G.

Abstract

The dynamic properties of micro based stochastic macro models are often analyzed through a linearization around the associated deterministic steady state. Recent literature has investigated the errors made by such a deterministic approximation. Complementary to this literature we investigate how the linearization affects the stochastic properties of the original model. We consider a simple real business cycle model with noisy learning by doing. The solution has a stationary distribution that exhibits moment failure and has an unbounded support. The linear approximation, however, yields a stationary distribution with possibly a bounded support and all moments finite.

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  • Babus, Ana & de Vries, Casper G., 2010. "Global stochastic properties of dynamic models and their linear approximations," Journal of Economic Dynamics and Control, Elsevier, vol. 34(5), pages 817-824, May.
    • Handle: RePEc:eee:dyncon:v:34:y:2010:i:5:p:817-824
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    Cited by:

    1. Loretti I. Dobrescu & Mihaela Neamtu & Dumitru Opris, 2011. "A Discrete--Delay Dynamic Model for the Stock Market," Discussion Papers 2012-11, School of Economics, The University of New South Wales.

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    More about this item

    Keywords

    Linearization ARCH process Real business cycles model Stochastic difference equation;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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