本論文主要利用障礙選擇權的期望值與Black-Scholes價格做比較，來當作一種投資的評估準則。
以單障礙選擇權 up and out 作為邊界積分的條件，以邊界元素法求其解，再用數值方式算出期望值，另用Black-Scholes 方程式計算出股價定價，再用定價與期望值做比較

本論文使用C++ 計算出數值，再用MATLB 畫圖比較觀察。

This thesis mainly expects that compares with the expected value of barrier option t and the stock price to be the standard of investment.

This thesis uses one barrier option that is up and out to be the condition of bounded integral and uses boundary element method to computes the answer then computes the price by Black-Scholes equation. Finally , we compare the expected value and price.

This thesis uses the C++ to the values and uses the Matlab to draw the picture for comparing the expected value and price.

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