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Econometrica Vol. 90 No. 1 2022

On the Factor Structure of Bond Returns

Richard K. Crump1; Nikolay Gospodinov2

1 Federal Reserve Bank of New York · 2 Federal Reserve Bank of Atlanta

Abstract

We demonstrate that characterizing the minimal dimension of the term structure of interest rates is more challenging than currently appreciated. The highly structured polynomial patterns of the factor loadings, which are widely reported and discussed in the literature, reflect local correlations of smooth curves across maturities. We derive analytical expressions for the loadings of cross‐sectionally dependent processes that tend to favor a much lower dimension than the true dimension of the underlying factor space. Numerical examples illustrate the significant economic costs of erroneously committing to a parsimoniously parameterized factor space that is informed by standard metrics of goodness‐of‐fit. Our results apply to other assets with a finite maturity structure.

DOI
10.3982/ecta17943
Volume
90
Issue
1
Pages
295-314
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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