What Do We Learn from Unit Roots in Macroeconomic Time Series

Working Paper: NBER ID: w2450

Authors: Danny Quah

Abstract: It is often argued that the presence of a unit root in aggregate output implies that there is no "business cycle": the economy does not return to trend following a disturbance. This paper makes this notion precise, but then develops a simple aggregative model where this relation is contradicted. In the model output both has a unit root, and displays repeated short-run fluctuations around a deterministic trend. Some summary statistical evidence is presented that suggests the phenomena described in the paper is not without empirical basis.

Keywords: Unit roots; Business cycles; Macroeconomic time series

JEL Codes: C22; E32


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
presence of unit roots (C22)no business cycle (E32)
presence of unit roots (C22)infinite average cycle length (C69)
presence of unit roots (C22)lack of cyclical behavior (E32)
unit root process (C22)fluctuations around trend (E32)
business cycles (E32)fluctuations around trend (E32)
presence of unit roots (C22)nuanced relationship with business cycles (E32)

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