亞式選擇權是一種路徑相關的選擇權，它的報酬是依賴從t_0到T這段時間的股價平均。這裡的T指選擇權的履約時間，而t_0介於0和T之間。在本論文中，我們考慮給股價S增加乘冪，S ^α，其中α>0是常數。我們考慮幾何平均的方式，并稱之為亞式幾何乘冪選擇權。本文主要的結果是在布萊克-肖爾斯模型之下計算出亞式幾何乘冪選擇權的計價公式。

An Asian option is a path dependent derivative whose values depend upon the price of the
underlying asset over some time interval [t_0,T] with T being the expiration time of the option and 0< t_0<T. In this article, we consider the case where the price of the underlying asset $S$ is raised to a certain power, that is, S ^α with α>0 a given constant.We will consider the case of geometric averages which is then known as the Asian geometric power option. The main result of this article is to derive a closed-form pricing formula of this Asian geometric power option.

1.Introduction+1
2.The Pricing Formula+5
References+9

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