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Comments on “Pricing Asian options under the mixed fractional Brownian motion with jumps”

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  • Guo, Zhidong

Abstract

Paper (Shokrollahi et al. [Mathematics and Computers in Simulation 226 (2024) 172-183]), addresses the pricing of geometric Asian options with jumps using a method analogous to that employed in non-jump scenarios. In this comment, based on the probability distribution of path variables, we will point out that the main conclusion of the paper is incorrect. More importantly, we aim to show that the conclusions drawn from non-jump models do not directly carry over to jump models when dealing with path-dependent options.

Suggested Citation

  • Guo, Zhidong, 2026. "Comments on “Pricing Asian options under the mixed fractional Brownian motion with jumps”," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 242(C), pages 121-124.
  • Handle: RePEc:eee:matcom:v:242:y:2026:i:c:p:121-124
    DOI: 10.1016/j.matcom.2025.11.006
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    References listed on IDEAS

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    1. Ma, Pengcheng & Taghipour, Mehran & Cattani, Carlo, 2024. "Option pricing in the illiquid markets under the mixed fractional Brownian motion model," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Shokrollahi, F. & Ahmadian, D. & Ballestra, L.V., 2024. "Pricing Asian options under the mixed fractional Brownian motion with jumps," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 226(C), pages 172-183.
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