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Positive forward rates in the maximum smoothness framework

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  • Julian Manzano
  • Jorgen Blomvall

Abstract

In this paper we present a nonlinear dynamic programming algorithm for the computation of forward rates within the maximum smoothness framework. The algorithm implements the forward rate positivity constraint for a one-parametric family of smoothness measures and it handles price spreads in the constraining data set. We investigate the outcome of the algorithm using the Swedish Bond market showing examples where the absence of the positive constraint leads to negative interest rates. Furthermore we investigate the predictive accuracy of the algorithm as we move along the family of smoothness measures. Among other things we observe that the inclusion of spreads not only improves the smoothness of forward curves but also significantly reduces the predictive error.

Suggested Citation

  • Julian Manzano & Jorgen Blomvall, 2004. "Positive forward rates in the maximum smoothness framework," Quantitative Finance, Taylor & Francis Journals, vol. 4(2), pages 221-232.
    • Handle: RePEc:taf:quantf:v:4:y:2004:i:2:p:221-232
    DOI: 10.1088/1469-7688/4/2/011
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    References listed on IDEAS

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    Cited by:

    1. Blomvall, Jörgen, 2017. "Measurement of interest rates using a convex optimization model," European Journal of Operational Research, Elsevier, vol. 256(1), pages 308-316.
    2. Jörgen Blomvall & Jonas Ekblom, 2018. "Corporate hedging: an answer to the “how” question," Annals of Operations Research, Springer, vol. 266(1), pages 35-69, July.
    3. Damir Filipović & Sander Willems, 2016. "Exact Smooth Term Structure Estimation," Swiss Finance Institute Research Paper Series 16-38, Swiss Finance Institute.
    4. Dette, Holger & Ziggel, Daniel, 2006. "Discount curve estimation by monotonizing McCulloch Splines," Technical Reports 2006,27, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    5. Paul Beaumont & Yaniv Jerassy-Etzion, 2011. "Computing maximally smooth forward rate curves for coupon bonds: An iterative piecewise quartic polynomial interpolation method," Working Papers wp2011_08_03, Department of Economics, Florida State University.

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