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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:3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。


    第1章 緒論 1 第2章 文獻回顧 6 2.1 利率模型 6 2.1.1 CIR模型 6 2.1.2 Vasicek模型 9 2.2 選擇權評價模型 10 2.2.1 B-S模型 10 2.2.2 GARCH模型 13 2.2.3 GARCH-SIR模型 15 第3章 多因子利率模型之參數估計 17 3.1 Kalman Filter法 17 3.2 多因子利率模型之狀態空間型式 20 3.3 參數估計結果 23 第4章 選擇權評價模型之實研究 28 第5章 結論 31 參考文獻 33 附錄一 36

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    25 Nath,P.(1998):”Multi-Factor Cox-Ingersoll-Ross Models of the Term Structure:Estimates and Tests from a Kalman Filter Model with UK Gilt Market Data,” Working Paper.
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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

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