研究生: |
劉芳儀 Liu,Fang-Yi |
---|---|
論文名稱: |
多因子利率模型於選擇權評價上的應用 |
指導教授: | 周若珍 |
口試委員: | |
學位類別: |
碩士 Master |
系所名稱: |
理學院 - 統計學研究所 Institute of Statistics |
論文出版年: | 2004 |
畢業學年度: | 92 |
語文別: | 中文 |
論文頁數: | 41 |
中文關鍵詞: | 多因子利率模型 、狀態空間型式 |
外文關鍵詞: | Kalman Filter, CIR, Vasicek |
相關次數: | 點閱:2 下載:0 |
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過程廣泛應用在金融產品的評價後,無論是商品訂價或相關避險比例的計算,皆與利率模型息息相關。故以隨機過程理論為基礎發展出來的利率模型,在財務工程領域上佔有一席之地。
Chen and Scott(1995)提出的方法,用Kalman Filter分別估計出多因子CIR、多因子Vasicek利率模型的參數,並比較兩模型對美國國庫券殖利率的預測效果。此外,將多因子CIR模型配合GARCH選擇權評價模型,導引出新的GARCH-CIR隨機利率選擇權評價模型,藉由蒙地卡羅模擬法對S&P500歐式買權訂價,並與現存其他模型相比較。
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29 王家偉(2002):”隨機利率模型對於選擇權定價之影響”,國立清華大學統計學研究所碩士論文