2005-10-20Buch DOI: 10.18452/3648
On Markovian Short Rates in Term Structure Models Driven by Jump-Diffusion Processes
Gapeev, Pavel V.
We study a bond market model and related term structure of interest rates where prices of zero coupon bonds are driven by a jump-diffusion process. We present a criterion on the deterministic forward rate volatilities under which the short rate process is Markovian and give sufficient conditions on the bond price volatility structure depending on the short rate for existing a finite-dimensional Markovian realization of the term structure model.
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Is Part Of Series: Sonderforschungsbereich 373: Quantification and Simulation of Economic Processes - 44, SFB 373 Papers, ISSN:1436-1086