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Ab initio yield curve dynamics

Listed author(s):
  • Raymond J. Hawkins
  • B. Roy Frieden
  • Joseph L. D'Anna
Registered author(s):

    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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    Paper provided by in its series Papers with number physics/0507098.

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    Date of creation: Jul 2005
    Handle: RePEc:arx:papers:physics/0507098
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