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A Nonparametric Method For Term Structure Fitting With Automatic Smoothing

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Listed:
  • Victor A. Lapshin

    (National Research University Higher School of Economics)

  • Vadim Ya. Kaushanskiy

    (National Research University Higher School of Economics)

Abstract

We present a new nonparametric method for fitting the term structure of interest rates from bond prices. Our method is a variant of the smoothing spline approach, but within our framework we are able to determine the smoothing coefficient automatically from the data using generalized crossvalidation or maximum likelihood estimates. We present an effective numerical algorithm to simultaneously find the term structure and the optimal smoothing coefficient. Finally, we compare the proposed nonparametric fitting method with other parametric and nonparametric methods to show its superior performance.

Suggested Citation

  • Victor A. Lapshin & Vadim Ya. Kaushanskiy, 2014. "A Nonparametric Method For Term Structure Fitting With Automatic Smoothing," HSE Working papers WP BRP 39/FE/2014, National Research University Higher School of Economics.
  • Handle: RePEc:hig:wpaper:39/fe/2014
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    References listed on IDEAS

    as
    1. Shea, Gary S., 1984. "Pitfalls in Smoothing Interest Rate Term Structure Data: Equilibrium Models and Spline Approximations," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 19(3), pages 253-269, September.
    2. Diebold, Francis X. & Li, Canlin, 2006. "Forecasting the term structure of government bond yields," Journal of Econometrics, Elsevier, vol. 130(2), pages 337-364, February.
    3. Bing-Huei Lin, 2002. "Fitting term structure of interest rates using B-splines: the case of Taiwanese Government bonds," Applied Financial Economics, Taylor & Francis Journals, vol. 12(1), pages 57-75.
    4. Laurini, Márcio Poletti & Hotta, Luiz Koodi, 2010. "Bayesian extensions to Diebold-Li term structure model," International Review of Financial Analysis, Elsevier, vol. 19(5), pages 342-350, December.
    5. McCulloch, J Huston, 1971. "Measuring the Term Structure of Interest Rates," The Journal of Business, University of Chicago Press, vol. 44(1), pages 19-31, January.
    6. Mark Fisher & Douglas Nychka & David Zervos, 1995. "Fitting the term structure of interest rates with smoothing splines," Finance and Economics Discussion Series 95-1, Board of Governors of the Federal Reserve System (U.S.).
    7. Gimeno, Ricardo & Nave, Juan M., 2009. "A genetic algorithm estimation of the term structure of interest rates," Computational Statistics & Data Analysis, Elsevier, vol. 53(6), pages 2236-2250, April.
    8. Daniel F. Waggoner, 1997. "Spline methods for extracting interest rate curves from coupon bond prices," FRB Atlanta Working Paper 97-10, Federal Reserve Bank of Atlanta.
    9. Robert A. Jarrow, 2014. "Forward Rate Curve Smoothing," Annual Review of Financial Economics, Annual Reviews, vol. 6(1), pages 443-458, December.
    10. Schmidt, Wolfgang M., 2011. "Interest rate term structure modelling," European Journal of Operational Research, Elsevier, vol. 214(1), pages 1-14, October.
    11. 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.
    12. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," The Journal of Business, University of Chicago Press, vol. 60(4), pages 473-489, October.
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    More about this item

    Keywords

    regularization; smoothing splines; term structure of interest rates.;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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