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http://dx.doi.org/10.5351/CKSS.2004.11.3.495

Positive Interest Rate Model in the Presence of Jumps  

Rhee, Joonhee (Department of Business and Adminstration, Soongsil University)
Kim, Yoon Tae (Department of Statistics, Hallym University)
Publication Information
Communications for Statistical Applications and Methods / v.11, no.3, 2004 , pp. 495-501 More about this Journal
Abstract
HJM representation of the term structure of interest rates sometimes produces the negative interest rates with positive probability. This paper shows that the condition of positive interest rates can be derived from the jump diffusion process, if a proper positive martingale process with the compensated jump process is chosen. As in Flesaker and Hughston, the condition is incorporated into the bond price process.
Keywords
Positive interest rate model; Wiener processes; Poisson processes; Risk-neutral measure;
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