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Positive Interest Rate Model in the Presence of Jumps

Authors
이준희김윤태
Issue Date
Dec-2004
Publisher
한국통계학회
Keywords
Positive interest rate model; Wiener processes; Poisson processes
Citation
Communications for Statistical Applications and Methods, v.11, no.3, pp.495 - 501
Journal Title
Communications for Statistical Applications and Methods
Volume
11
Number
3
Start Page
495
End Page
501
URI
http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/20119
ISSN
2287-7843
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 difusion 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.
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