Document Type
Discussion Paper
Publication Date
12-1-1998
CFDP Number
1205
CFDP Pages
50
Abstract
We introduce a new method for the estimation of discount functions, yield curves and forward curves for coupon bonds. Our approach is nonparametric and does not assume a particular functional form for the discount function although we do show how to impose various important restrictions in the estimation. Our method is based on kernel smoothing and is defined as the minimum of some localized population moment condition. The solution to the sample problem is not explicit and our estimation procedure is iterative, rather like the backfitting method of estimating additive nonparametric models. We establish the asymptotic normality of our methods using the asymptotic representation of our estimator as an infinite series with declining coefficients. The rate of convergence is standaxd for one dimensional nonparametric regression.
Recommended Citation
Linton, Oliver B.; Mammen, E.; Nielsen, Jens Perch; and Tanggaard, C., "Estimating Yield Curves by Kernel Smoothing Methods" (1998). Cowles Foundation Discussion Papers. 1453.
https://elischolar.library.yale.edu/cowles-discussion-paper-series/1453