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Zero-coupon yield curves: technical documentation

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  • Bank for International Settlements

Abstract

Following a meeting on the estimation of zero-coupon yield curves held at the BIS in June 1996, participating central banks have since been reporting their estimates to the Bank for International Settlements. The BIS Data Bank Services provide access to these data, which consist of either spot rates for selected terms to maturity or represent estimated parameters from which spot and forward rates can be derived. In the case estimated parameters are reported, the Data Bank Services provides, in addition to the parameters also the generated spot rates. The purpose of this document is to facilitate the use of these data. It provides information on the reporting central banks' approaches to the estimation of the zero-coupon yield curves and the data transmitted to the BIS Data Bank. In most cases, the contributing central banks adopted the so-called Nelson and Siegel approach or the Svensson extension thereof. A brief overview of the relevant estimation techniques and the associated mathematics is provided below. General issues concerning the estimation of yield curves are discussed in Section 1. Sections 2 and 3 document the term structure of interest rate data available from the BIS. The final section provides examples of estimated parameter and selected spot and forward rates derived thereof. A list of contacts at central banks can be found after the references. The remainder of this document consists of brief notes provided by the reporting central banks on approaches they have taken to estimate the yield curves. Since the last release of this manual in March 1999 there have been four major changes: Switzerland started to report their estimates of the yield curve to the BIS in August 2002. Furthermore, Sweden began to use a new estimation method in 2001, the United Kingdom since September 2002 and Canada since January 2005. These changes are included in Tables 1 and 2.

Suggested Citation

  • Bank for International Settlements, 2005. "Zero-coupon yield curves: technical documentation," BIS Papers, Bank for International Settlements, number 25, November.
  • Handle: RePEc:bis:bisbps:25
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    Citations

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    Cited by:

    1. Koziol, Philipp, 2014. "Inflation and interest rate derivatives for FX risk management: Implications for exporting firms under real wealth," The Quarterly Review of Economics and Finance, Elsevier, vol. 54(4), pages 459-472.
    2. Malik, Sheheryar & Meldrum, Andrew, 2016. "Evaluating the robustness of UK term structure decompositions using linear regression methods," Journal of Banking & Finance, Elsevier, vol. 67(C), pages 85-102.
    3. Landon, Stuart, 2009. "The capitalization of taxes in bond prices: Evidence from the market for Government of Canada bonds," Journal of Banking & Finance, Elsevier, vol. 33(12), pages 2175-2184, December.
    4. Christensen, Jens H.E. & Diebold, Francis X. & Rudebusch, Glenn D., 2011. "The affine arbitrage-free class of Nelson-Siegel term structure models," Journal of Econometrics, Elsevier, vol. 164(1), pages 4-20, September.
    5. Landon, Stuart & Smith, Constance, 2008. "Taxation and bond market investment strategies: Evidence from the market for Government of Canada bonds," MPRA Paper 9959, University Library of Munich, Germany.
    6. Shaw, Frances & Murphy, Finbarr & O’Brien, Fergal, 2014. "The forecasting efficiency of the dynamic Nelson Siegel model on credit default swaps," Research in International Business and Finance, Elsevier, vol. 30(C), pages 348-368.
    7. Gauthier, Geneviève & Simonato, Jean-Guy, 2012. "Linearized Nelson–Siegel and Svensson models for the estimation of spot interest rates," European Journal of Operational Research, Elsevier, vol. 219(2), pages 442-451.
    8. Duran, Murat & Gülşen, Eda, 2013. "Estimating inflation compensation for Turkey using yield curves," Economic Modelling, Elsevier, vol. 32(C), pages 592-601.
    9. Dang-Nguyen, Stéphane & Le Caillec, Jean-Marc & Hillion, Alain, 2014. "The deterministic shift extension and the affine dynamic Nelson–Siegel model," The North American Journal of Economics and Finance, Elsevier, vol. 29(C), pages 402-417.
    10. Gann, Philipp & Laut, Amelie, 2008. "Einflussfaktoren auf den Credit Spread von Unternehmensanleihen," Discussion Papers in Business Administration 4231, University of Munich, Munich School of Management.
    11. repec:eee:finmar:v:33:y:2017:i:c:p:42-74 is not listed on IDEAS
    12. Yallup, Peter J., 2012. "Models of the yield curve and the curvature of the implied forward rate function," Journal of Banking & Finance, Elsevier, vol. 36(1), pages 121-135.

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