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Vietnam Journal of Mathematics 35:3(2007) 231-245  A Fractional Black-Scholes Model with Jumps P. Sattayatham, A. Intarasit, and A. P. Chaiyasena Abstract.  In this paper, we introduce an approximate approach to a fractional Black-Scholes model with jumps perturbed by fractional noise. Based on a fundamental result on the $L^2$-approximation of this noise by semimartingales, we prove a convergence theorem concerning an approximate solution. A simulation example shows a signigicant reduction of error in a fractional jump model as compared to the classical jump model.   2000 Mathematics Subject Classification: 91B28, 65C50. Keywords: Black-Scholes, approximate models.

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