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Nonparametric Smoothing of Yield Curves

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  • Tanggaard, Carsten

Abstract

This paper proposes a new nonparametric approach to the problem of inferring term structure estimates using coupon bond prices. The nonparametric estimator is defined on the basis of a penalized least squares criterion. The solution is a natural cubic spline, and the paper presents an iterative procedure for solving the non-linear first-order conditions. Besides smoothness, there are no a priori restrictions on the yield curve, and the position of the knots and the optimal smoothness can be determined from data. For these reasons the smoothing procedure is said to be completely data driven. The paper also demonstrates that smoothing a simple transformation of the yield curve greatly improves the stability of longer-term yield curve estimates. Copyright 1997 by Kluwer Academic Publishers

Suggested Citation

  • Tanggaard, Carsten, 1997. "Nonparametric Smoothing of Yield Curves," Review of Quantitative Finance and Accounting, Springer, vol. 9(3), pages 251-267, October.
    • Handle: RePEc:kap:rqfnac:v:9:y:1997:i:3:p:251-67
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    Cited by:

    1. Koo, Bonsoo & La Vecchia, Davide & Linton, Oliver, 2021. "Estimation of a nonparametric model for bond prices from cross-section and time series information," Journal of Econometrics, Elsevier, vol. 220(2), pages 562-588.
    2. S. Nielsen, Soren & Poulsen, Rolf, 2004. "A two-factor, stochastic programming model of Danish mortgage-backed securities," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1267-1289, April.
    3. Simerský, Mojmír, 2018. "Zero-coupon yields estimated by zero-degree splines," MPRA Paper 86268, University Library of Munich, Germany.
    4. Linton, Oliver & Mammen, Enno & Nielsen, Jens Perch & Tanggaard, Carsten, 1998. "Estimating yield curves by Kernel smoothing methods," SFB 373 Discussion Papers 1999,54, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    5. Leif Andersen, 2007. "Discount curve construction with tension splines," Review of Derivatives Research, Springer, vol. 10(3), pages 227-267, December.
    6. Linton, Oliver & Mammen, Enno & Nielsen, Jans Perch & Tanggaard, Carsten, 2001. "Yield curve estimation by kernel smoothing methods," Journal of Econometrics, Elsevier, vol. 105(1), pages 185-223, November.
    7. Andraž, Grum, 2006. "Razvitost slovenskega trga dolžniškega kapitala in ocenitev krivulje donosnosti," MPRA Paper 4876, University Library of Munich, Germany.
    8. Kentaro Kikuchi & Kohei Shintani, 2012. "Comparative Analysis of Zero Coupon Yield Curve Estimation Methods Using JGB Price Data," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 30, pages 75-122, November.
    9. Yoshiyuki Suimon & Hiroki Sakaji & Kiyoshi Izumi & Hiroyasu Matsushima, 2020. "Autoencoder-Based Three-Factor Model for the Yield Curve of Japanese Government Bonds and a Trading Strategy," JRFM, MDPI, vol. 13(4), pages 1-21, April.
    10. Abaffy, Jozsef & Bertocchi, Marida & Dupacova, Jitka & Giacometti, Rosella & Huskova, Marie & Moriggia, Vittorio, 2003. "A nonparametric model for analysis of the EURO bond market," Journal of Economic Dynamics and Control, Elsevier, vol. 27(6), pages 1113-1131, April.
    11. Koo, B. & La Vecchia, D. & Linton, O., 2019. "Nonparametric Recovery of the Yield Curve Evolution from Cross-Section and Time Series Information," Cambridge Working Papers in Economics 1916, Faculty of Economics, University of Cambridge.
    12. Damir Filipović & Sander Willems, 2016. "Exact Smooth Term Structure Estimation," Swiss Finance Institute Research Paper Series 16-38, Swiss Finance Institute.
    13. Victor Lapshin, 2019. "A Nonparametric Approach to Bond Portfolio Immunization," Mathematics, MDPI, vol. 7(11), pages 1-12, November.

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