亚洲期权定价的随机扩展

Fabien Le Floc'h
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引用次数: 0

摘要

我们提出了在参数随时间变化的布莱克-斯科尔斯(Black-Scholes)模型下,亚洲期权离散平均定价的封闭分析近似值。这些公式是通过对数正态代理模型的随机泰勒展开得到的,在实践中非常精确。
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Stochastic expansion for the pricing of Asian options
We present closed analytical approximations for the pricing of Asian options with discrete averaging under the Black-Scholes model with time-dependent parameters. The formulae are obtained by using a stochastic Taylor expansion around a log-normal proxy model and are found to be highly accurate in practice.
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