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研究生: 李維真
Lee, Wei-Chen
論文名稱: 馬可夫鏈在公司債應用之分析
An Analysis of Markov Model Applied in Corporate Bond Pricing
指導教授: 王澤世
Wang, Tse-Shih
學位類別: 碩士
Master
系所名稱: 管理學院 - 財務金融研究所
Graduate Institute of Finance
論文出版年: 2005
畢業學年度: 93
語文別: 中文
論文頁數: 69
中文關鍵詞: 公司債違約機率信用風險馬可夫模型
外文關鍵詞: default probability, credit risk, Markov model, corporate bonds
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  • 本文在Jarrow, Lando and Turnbull (1997) 的架構之下,以馬可夫鏈來表示破產過程,將公司債之信用評等資訊納入有險債券違約機率之估計。藉由假設公司債違約發生的時間(τ)服從指數分配,在利用推移機率矩陣估計出各信用評等公司債違約發生時間分配之參數λ後,可估計出各信用評等之公司債於未來任何時點之違約機率。另一方面,運用市場觀察到之信用價差期間結構,以及利用平均回收率與年違約機率間的負相關性之迴歸式來估計出各信用等級之公司債於各年度之預期回收率,可以計算出未來各年度之風險中立機率測度下的累積違約機率。本研究並檢視在2004年之資料下,以Kijima and Komoribayashi (1998) 之風險溢酬調整項取代Jarrow, Lando and Turnbull (1997) 對於風險貼水之計算方式時,在實證應用上之表現。

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    謝辭 I 摘要 II 目錄 III 圖目錄 IV 表目錄 V 第一章 緒論 1 第一節 研究動機與目的 1 第二節 研究觀念架構 4 第二章 文獻回顧 6 第一節 有險債券之評價 6 第二節 違約機率模型 8 第三節 信用風險管理相關文獻之演變 12 第四節 信用等級推移與馬可夫鏈 15 第三章 研究方法 21 第一節 符號定義與基本假設 21 第二節 違約時間之分配:真實機率測度之下之違約機率 25 第三節 信用價差模型:風險中立機率測度下之違約機率 27 第四節 風險溢酬調整項之估計 29 第四章 估計結果與分析 31 第一節 資料來源及限制 31 第二節 模型參數與資料之估計 32 第三節 結果與分析 50 第五章 結論與建議 53 參考文獻 55 附錄 59 附表一 真實機率測度下之累積推移機率矩陣 61 附表二 風險中立機率測度下之累積推移機率矩陣 65

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