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Asian Option Pricing with Monotonous Transaction Costs under Fractional Brownian Motion

Author

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  • Di Pan
  • Shengwu Zhou
  • Yan Zhang
  • Miao Han

Abstract

Geometric-average Asian option pricing model with monotonous transaction cost rate under fractional Brownian motion was established. The method of partial differential equations was used to solve this model and the analytical expressions of the Asian option value were obtained. The numerical experiments show that Hurst exponent of the fractional Brownian motion and transaction cost rate have a significant impact on the option value.

Suggested Citation

  • Di Pan & Shengwu Zhou & Yan Zhang & Miao Han, 2013. "Asian Option Pricing with Monotonous Transaction Costs under Fractional Brownian Motion," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-6, December.
  • Handle: RePEc:hin:jnljam:352021
    DOI: 10.1155/2013/352021
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    Cited by:

    1. Yue Qi & Yue Wang, 2023. "Innovating and Pricing Carbon-Offset Options of Asian Styles on the Basis of Jump Diffusions and Fractal Brownian Motions," Mathematics, MDPI, vol. 11(16), pages 1-22, August.

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