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Zero-Coupon Yield Curve Estimation with the Package termstrc

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  • Ferstl, Robert
  • Hayden, Josef

Abstract

Since zero-coupon rates are rarely directly observable, they have to be estimated from market data. In this paper we review several widely-used parametric term structure estimation methods. We propose a weighted constrained optimization procedure with analytical gradients and a globally optimal start parameter search algorithm. Moreover, we introduce the R package termstrc, which offers a wide range of functions for term structure estimation based on static and dynamic coupon bond and yield data sets. It provides extensive summary statistics and plots to compare the results of the different estimation methods. We illustrate the application of the package through practical examples using market data from European government bonds and yields.

Suggested Citation

  • Ferstl, Robert & Hayden, Josef, 2010. "Zero-Coupon Yield Curve Estimation with the Package termstrc," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 36(i01).
    • Handle: RePEc:jss:jstsof:v:036:i01
    DOI: http://hdl.handle.net/10.18637/jss.v036.i01
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    References listed on IDEAS

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    1. 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.
    2. Tomas Björk & Bent Jesper Christensen, 1999. "Interest Rate Dynamics and Consistent Forward Rate Curves," Mathematical Finance, Wiley Blackwell, vol. 9(4), pages 323-348, October.
    3. Zeileis, Achim & Grothendieck, Gabor, 2005. "zoo: S3 Infrastructure for Regular and Irregular Time Series," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 14(i06).
    4. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
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    Cited by:

    1. João Caldeira & Guilherme Moura & André Santos, 2015. "Measuring Risk in Fixed Income Portfolios using Yield Curve Models," Computational Economics, Springer;Society for Computational Economics, vol. 46(1), pages 65-82, June.
    2. Emiliano Delfau, 2017. "Métodos de Estimación de Curvas de Rendimiento Cupón Cero en Argentina," CEMA Working Papers: Serie Documentos de Trabajo. 623, Universidad del CEMA.
    3. Ranik Raaen Wahlstrøm & Florentina Paraschiv & Michael Schürle, 2022. "A Comparative Analysis of Parsimonious Yield Curve Models with Focus on the Nelson-Siegel, Svensson and Bliss Versions," Computational Economics, Springer;Society for Computational Economics, vol. 59(3), pages 967-1004, March.
    4. repec:jss:jstsof:36:i01 is not listed on IDEAS
    5. Francisco Rivadeneyra, 2012. "The U.S.-Dollar Supranational Zero-Coupon Curve," Discussion Papers 12-5, Bank of Canada.
    6. Prokopczuk, Marcel & Siewert, Jan B. & Vonhoff, Volker, 2013. "Credit risk in covered bonds," Journal of Empirical Finance, Elsevier, vol. 21(C), pages 102-120.

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