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A Spectral-Temporal Index with an Application to U.S. Interest Rates

G. C. Lim and Vance L. Martin
Journal of Business & Economic Statistics
Vol. 12, No. 1 (Jan., 1994), pp. 81-93
DOI: 10.2307/1391925
Stable URL: http://www.jstor.org/stable/1391925
Page Count: 13
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A Spectral-Temporal Index with an Application to U.S. Interest Rates
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Abstract

This article presents a flexible, data-analytic procedure for calculating spectral-temporal indexes by exploiting the duality property between frequency and time-domain procedures. The approach consists of capturing the interrelationships between the subordinate series across a range of cycles using a principal-components decomposition in the frequency domain and transforming this information into the time domain to construct a temporal index. The approach is applied to the calculation of an index of U.S. short and long interest rates. The main result of the empirical analysis is that, for a broad range of cycles, a single index can be used to summarize and synthesize the information contained in a range of interest rates differing in terms to maturity.

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