Long-term recurrence patterns in the late 2000 economic crisis: Evidences from entropy analysis of the Dow Jones index

The depth (4.5% US GDP decline and 9.5% stable unemployment) and duration (more than two years) of the present global economic recession have suggested to many researchers and practitioners to think that it is singular relative to previous recession that occurred in the aftermath of the World War II. It has been argued that the singularity of the late 2000 crises arises from non-precedent components, such as globalization and a dominant financial system equipped with exotic instruments (e.g., derivatives) designed from highly specialized mathematical theories. This paper uses the historic (1928–2010) Dow Jones index analyzed with informational entropy methods to show the presence of recurrent cycles with dominant periods of 4.5 and 22 years. For time series, entropy is a measure of the diversity of patterns for given time scales. In this form, the higher the entropy, the more complex the underlying system dynamics. It is shown that the present economic downturn coincides with the occurrence of a 22-year cycle in the entropy dynamics of the Dow Jones index. It suggests that the crisis is not singular, but its origin can be also explained from recurrent long-term patterns. Implications of the empirical results for the evolution of the late 2000 crisis and the potential aftermath courses of the global economy are discussed.

Research Highlights► Used entropy methods to analyze the complexity of the Dow Jones Index. ► Showed evidences of 4.25-year and 22-year cycles in the entropy dynamics of the DJI. ► The present economic recession can be explained within the dynamics of 22-year waves.