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Ab initio yield curve dynamics

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  • Raymond J. Hawkins
  • B. Roy Frieden
  • Joseph L. D'Anna

Abstract

We derive an equation of motion for interest-rate yield curves by applying a minimum Fisher information variational approach to the implied probability density. By construction, solutions to the equation of motion recover observed bond prices. More significantly, the form of the resulting equation explains the success of the Nelson Siegel approach to fitting static yield curves and the empirically observed modal structure of yield curves. A practical numerical implementation of this equation of motion is found by using the Karhunen-Loeve expansion and Galerkin's method to formulate a reduced-order model of yield curve dynamics.

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  • Raymond J. Hawkins & B. Roy Frieden & Joseph L. D'Anna, 2005. "Ab initio yield curve dynamics," Papers physics/0507098, arXiv.org.
    • Handle: RePEc:arx:papers:physics/0507098
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    Cited by:

    1. Hawkins, Raymond J. & Aoki, Masanao & Roy Frieden, B., 2010. "Asymmetric information and macroeconomic dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3565-3571.
    2. Raymond J. Hawkins & B. Roy Frieden, 2012. "Asymmetric Information and Quantization in Financial Economics," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-11, December.
    3. Frieden, B. Roy & Hawkins, Raymond J., 2010. "Asymmetric information and economics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(2), pages 287-295.

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