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

Guay Lim and Vance Martin

Journal of Business & Economic Statistics, 1994, vol. 12, issue 1, 81-93

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.

Date: 1994
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