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Inference for Model Misspecification in Interest Rate Term Structure using Functional Principal Component Analysis

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  • Kaiwen Hou

Abstract

Level, slope, and curvature are three commonly-believed principal components in interest rate term structure and are thus widely used in modeling. This paper characterizes the heterogeneity of how misspecified such models are through time. Presenting the orthonormal basis in the Nelson-Siegel model interpretable as the three factors, we design two nonparametric tests for whether the basis is equivalent to the data-driven functional principal component basis underlying the yield curve dynamics, considering the ordering of eigenfunctions or not, respectively. Eventually, we discover high dispersion between the two bases when rare events occur, suggesting occasional misspecification even if the model is overall expressive.

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  • Kaiwen Hou, 2022. "Inference for Model Misspecification in Interest Rate Term Structure using Functional Principal Component Analysis," Papers 2212.10790, arXiv.org.
    • Handle: RePEc:arx:papers:2212.10790
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    3. Arvind Krishnamurthy & Annette Vissing-Jorgensen, 2011. "The Effects of Quantitative Easing on Interest Rates: Channels and Implications for Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 42(2 (Fall)), pages 215-287.
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    6. Arvind Krishnamurthy & Annette Vissing-Jorgensen, 2011. "The Effects of Quantitative Easing on Interest Rates: Channels and Implications for Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 43(2 (Fall)), pages 215-287.
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