In this thesis, we survey some popular pricing methods of average options. They can be classified into three cateogries include approximation, Monte Carlo, and binomial tree approaches. We examine the accuracy of these methods by two cases, exchange rate and stock price. Numerical testing results show the accuracy of approximation and binomial tree are not stable. For the big-size feature of average option, their outputs are doubtful and damaging in pactice. Despite this, they are still valuable. This is because they own the other advantages. For example, the approximation approach can give us a quick formlas to calculate the Greek, and the binomial tree approach can price the American style options.

平均式選擇權可以依計算方式分為算術平均及幾何平均兩種，不同於幾何平均式選擇權，算術平均式選擇權之評價並沒有封閉的公式解。此外，平均式選擇權也可依照摽的資產分為亞式選擇權與組合式選擇權，在過去的研究中較少將兩者類型同時考慮。因此，本論文結合現有的亞式選擇權及組合式選擇權之評價方式，推導出利用對數常態分配作為近似分配的亞式組合式選擇權近似封閉解。在本論文中再將此評價公式的結果與另一種近似封閉解作近似結果比較，證明出此推導結果能更精確且有效率的計算出平均式選擇權價格，並能利用此模型公式於平均式連動債券的評價與避險之中，最後再針對兩種連動債券的評價結果作發行商及投資人的策略分析。