Transformation of Heath-Jarrow-Morton Models to Markovian Systems
A class of volatility functions for the forward rate process is considered, which allows the bond price dynamics in the Heath-Jarrow-Morton (HJM) framework to be reduced to a finite dimensional Markovian system. The use of this Markovian system in estimation of parameters of the volatility function via use of the Kalman filter is discussed. Further, the Markovian system allows the link to be drawn between the HJM and the Vasicek/Cox-Ingersoll-Ross (CIR) frameworks for modelling the term structure of interest rates.
|Date of creation:||01 Dec 1995|
|Date of revision:|
|Publication status:||Published as: Bhar, R. and Chiarella, C., 1997, "Transformation of Heath-Jarrow-Morton models to Markovian systems", The European Journal of Finance, 3(1), ,1-26.|
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