2005-10-12Buch DOI: 10.18452/3561
Markovian short rates in a forward rate model with ageneral class of Lévy processes
Short rates of interest are considered within in the term structure model of Eberlein-Raible  driven by a Lévy process. It is shown that they are Markovian if and only if the volatility function factorizes. This extends results of Caverhill  for the Wiener process and of Eberlein, Raible  for Lévy processes with a restricting property to the most general class of Lévy processes being possible within this model. As new examples compound Poisson processes and bilateral gamma processes are included, in particular variance gamma processes in the sense of Madan , Madan, Senata .
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