用黑肖尔斯时间分数阶非线性偏微分方程求解两种股票的期权定价

K. Zakaria, S. Hafeez
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引用次数: 0

摘要

带有分数阶二资产价格模型的BS方程能较好地预测货币市场上的期权定价。本文利用bs条件的变化形式和两个依赖Liovelle-Caputo导数的资产价格模型,对期权价格进行了较好的预测。利用Samdu变换的性质,以收敛无穷级数的形式给出了解析解。
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Options Pricing for Two Stocks by Black – Sholes Time Fractional Order Non – Linear Partial Differential Equation
The BS equations with fractional order two asset price model give the better prediction of options pricing in the monetary market. In this paper, the changed form of BS-condition with two asset price models dependent on the Liovelle-Caputo derivative for good predictions of options prices is utilized. The analytical solution is demonstrated in form of convergent infinite series and obtained by the properties of Samdu Transform.
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