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Conditional Gaussian models of the term structure of interest rates

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  • Simon H. Babbs

    (Bank One and University of Warwick, 1 Bank One Plaza Suite# 0690, Chicago IL 60670, USA Manuscript)

Abstract

We present a new family of yield curve models, termed "Conditional Gaussian". It provides both simplicity and extreme flexibility in constructing "market models". Almost any conditional co-variance structure - including features designed to capture volatility "skews" and/or dependence on past returns - can be used, and the model can be embedded into a continuous-time whole yield curve model consistent with general equilibrium. Conditionally Gaussian increments in log one-plus-interest-rates enable "vanilla" and path-dependent derivatives to be valued easily by Monte Carlo, whether or not their payoffs depend solely on the particular market rates being modelled directly.

Suggested Citation

  • Simon H. Babbs, 2002. "Conditional Gaussian models of the term structure of interest rates," Finance and Stochastics, Springer, vol. 6(3), pages 333-353.
  • Handle: RePEc:spr:finsto:v:6:y:2002:i:3:p:333-353
    Note: received: June 1999; final version received: September 2001
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    References listed on IDEAS

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    Cited by:

    1. John Crosby, 2008. "A multi-factor jump-diffusion model for commodities," Quantitative Finance, Taylor & Francis Journals, vol. 8(2), pages 181-200.
    2. Serafín Frache & Gabriel Katz, 2004. "Estimating a Risky Term Structure of Uruguayan Sovereign Bonds," Documentos de Trabajo (working papers) 0304, Department of Economics - dECON.

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    More about this item

    Keywords

    Interest rate models; market models; Conditional Gaussian;
    All these keywords.

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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