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Random Walks and Non-Linear Paths in Macroeconomic Time Series: Some Evidence and Implications

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  • Franco Bevilacqua

    (MERIT, Maastricht University)

  • Adriaan van Zon

    (MERIT, Maastricht University)

Abstract

This paper investigates whether the inherent non-stationarity of macroeconomic time series is entirely due to a random walk or also to non-linear components. Applying the numerical tools of the analysis of dynamical systems to long time series for the US, we reject the hypothesis that these series are generated solely by a linear stochastic process. Contrary to the Real Business Cycle theory that attributes the irregular behavior of the system to exogenous random factors, we maintain that the fluctuations in the time series we examined cannot be explained only by means of external shocks plugged into linear autoregressive models. A dynamical and non-linear explanation may be useful for the double aim of describing and forecasting more accurately the evolution of the system. Linear growth models that find empirical verification on linear econometric analysis, are therefore seriously called in question. Conversely non-linear dynamical models may enable us to achieve a more complete information about economic phenomena from the same data sets used in the empirical analysis which are in support of Real Business Cycle Theory. We conclude that Real Business Cycle theory and more in general the unit root autoregressive models are an inadequate device for a satisfactory understanding of economic time series. A theoretical approach grounded on non-linear metric methods, may however allow to identify non-linear structures that endogenously generate fluctuations in macroeconomic time series.

Suggested Citation

  • Franco Bevilacqua & Adriaan van Zon, 2002. "Random Walks and Non-Linear Paths in Macroeconomic Time Series: Some Evidence and Implications," Working Papers geewp22, Vienna University of Economics and Business Research Group: Growth and Employment in Europe: Sustainability and Competitiveness.
  • Handle: RePEc:wiw:wiwgee:geewp22
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    More about this item

    Keywords

    Random Walks; Real Business Cycle Theory; Chaos;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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