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We propose a generalization of the Shirakawa (1991) model to capture the jump component in fixed income markets. The model is formulated under the Heath, Jarrow and Morton (1992) framework, and allows the presence of a Wiener noise and a finite number of Poisson noises, each associated with a...
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unobserved instantaneous forward rate is analyzed. The fact that futures contracts can be viewed as derivative instruments on the …
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], Bhar and Chiarella [1], and Inui and Kijima [18], and also generalise the bond price formulae obtained therein. …
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is quantified and shown to be non-negligible. Then futures contracts are treated as derivative instruments written on …
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price processes also contain compound Poisson jump components. A Radon-Nikod´ym derivative process that induces the change … Radon-Nikod´ym derivative allows us to price the option under different financial-economic scenarios. We also consider …
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relation by adopting a Radon-Nikodym derivative based on the exponential martingale of a correlated Brownian motion process and … a multivariate compound Poisson process. The parameters in the Radon-Nikodym derivative define a family of equivalent … parameters in the Radon-Nikodym derivative used in the alternative derivation of the integro-partial differential equation. …
Persistent link: https://www.econbiz.de/10004984596
This paper builds upon the authors' previous work on transformation of the Heath-Jarrow-Morton (HJM) model of the term structure of interest rates to state space form for a fairly general class of volatility specification including stochastic variables. Estimation of this volatility function is...
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