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Nonparametric estimation of multifactor continuous time interest rate models

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Chris Downing
Abstract

This paper studies the finite sample properties of the kernel regression method of Boudoukh et al. (1998) for estimating multifactor continuous-time term structure models. Monte Carlo simulations are employed, with a grid-search technique to find the optimal kernel bandwidth. The estimator exhibits truncation and correlated residuals biases near the boundaries of the data. However, the variance of the estimator is so high that the biases are unlikely to be relevant from a hypothesis testing point of view. The performance of the estimator is also studied under model misspecification. Irrelevant regressors reduce efficiency and induce additional biases in the estimates. Using Treasury bill data, I test whether the estimates produced by the nonparametric estimator are statistically distinguishable from estimates obtained under a parametric model. The kernel regressions pick up nonlinearities in the data that the parametric model cannot capture.

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Paper provided by Board of Governors of the Federal Reserve System (U.S.) in its series Finance and Economics Discussion Series with number 1999-62.

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Date of creation: 1999
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Handle: RePEc:fip:fedgfe:1999-62

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Related research
Keywords: Interest rates ; Econometric models ; Time-series analysis;

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  1. A. Mele, 2000. "Fundamental Properties of Bond Prices in Models of the Short-Term Rate," THEMA Working Papers 2000-39, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. [Downloadable!]
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