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Random step functions model for interest rates

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  • Eleanor Virag

    ()
    (Department of Mathematics and Statistics, University of Melbourne, Melbourne, Victoria 3010, Australia)

  • Fima C. Klebaner

    ()
    (Department of Mathematics and Statistics, University of Melbourne, Melbourne, Victoria 3010, Australia)

  • Konstantin Borovkov

    ()
    (Department of Mathematics and Statistics, University of Melbourne, Melbourne, Victoria 3010, Australia)

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    Abstract

    We propose a new model for pricing of bonds and their options based on the short rate when the latter exhibits a step function like behaviour. The model produces realistic looking spot rate curves, and allows one to derive explicit formulae for the yield curve and put and cap options. This model is appropriate for markets with pegged rates, such as the Australian market. We also give a general result on bond prices when the short rate is a sum of independent processes.

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    Bibliographic Info

    Article provided by Springer in its journal Finance and Stochastics.

    Volume (Year): 7 (2003)
    Issue (Month): 1 ()
    Pages: 123-143

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    Handle: RePEc:spr:finsto:v:7:y:2003:i:1:p:123-143

    Note: received: July 2001; final version received: April 2002
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    Related research

    Keywords: Interest rates models; Markov point processes; jump processes; bonds; options on bonds;

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