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THE TWO INTERPRETATIONS OF THE BEVERIDGE–NELSON DECOMPOSITION

Published online by Cambridge University Press:  10 June 2010

James C. Morley
James C. Morley*
Affiliation:
Washington University in St. Louis
*
Address correspondence to: James C. Morley, Department of Economics, Box 1208, Washington University in St. Louis, One Brookings Drive, St. Louis, MO 63130-4899, USA; e-mail: morley@wustl.edu.
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Abstract

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The Beveridge–Nelson decomposition calculates trend and cycle for an integrated time series. However, there are two ways to interpret the results from the decomposition. One interpretation is that the optimal long-run forecast (minus any deterministic drift) used to calculate the Beveridge–Nelson trend corresponds to an estimate of an unobserved permanent component. The other interpretation is that the optimal long-run forecast defines an observable permanent component. This paper examines some issues surrounding these two interpretations and provides empirical support for interpreting the Beveridge–Nelson trend as an estimate when considering macroeconomic data.

Keywords

Beveridge–Nelson DecompositionTrend/cycle DecompositionState-Space ModelsUnobserved-Components Models

Information

Type
Articles
Information
Macroeconomic Dynamics , Volume 15 , Issue 3 , June 2011 , pp. 419 - 439
Copyright
Copyright © Cambridge University Press 2010

References

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