Valuation of Reset Option with Multiple Reset Features under Mixed Fractional Brownian Motion Model

Authors

  • Xin Zhang College of Mathematics and Statistics, Guangxi Normal University, Guilin 541006, Guangxi, China

DOI:

https://doi.org/10.53469/jgebf.2024.06(07).03

Keywords:

Reset Option, Mixed Fractional Brownian Motion, Multiple Reset Features

Abstract

In this paper, we consider the pricing of reset option when the underlying asset follows a mixed fractional Brownian motion and the Hurst parameter H∈(0,1). Using quasi-martingale method, measure transformation and Girsanov theorem, the analytical expression of reset option pricing under risk neutral measure is obtained. The main contribution of this paper is to provide the closed-form pricing formula of reset option with strike resets and predetermined reset dates.

References

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Published

2024-07-28

How to Cite

Zhang, X. (2024). Valuation of Reset Option with Multiple Reset Features under Mixed Fractional Brownian Motion Model. Journal of Global Economy, Business and Finance, 6(7), 15–18. https://doi.org/10.53469/jgebf.2024.06(07).03