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研究生:蔡宗翰
研究生(外文):Tsung-Han Tsai
論文名稱:抵押債權憑證之評價:FactorCopula與JLT模型之應用
論文名稱(外文):The Valuation of Collateralized Debt Obligation:Factor Copula and JLT Model
指導教授:張焯然張焯然引用關係徐南蓉徐南蓉引用關係
指導教授(外文):Jow-Ran ChangNan-Jung Hsu
學位類別:碩士
校院名稱:國立清華大學
系所名稱:統計學研究所
學門:數學及統計學門
學類:統計學類
論文種類:學術論文
論文出版年:2006
畢業學年度:94
語文別:中文
論文頁數:63
中文關鍵詞:copula抵押債權憑證因子模型馬可夫鏈模型
外文關鍵詞:copulacollateralized debt obligationfactor modelMarkov chain
相關次數:
  • 被引用被引用:1
  • 點閱點閱:279
  • 評分評分:
  • 下載下載:0
  • 收藏至我的研究室書目清單書目收藏:2
資產證券化為1970年後,金融市場上最重要的突破與創新,而抵押債權憑證為其中一門分支,其在1996年後快速的蓬勃發展。抵押債權憑證是創始機構將能產生收入之債權當作抵押品,利用發行證券的方式來募集資金。在商品的訂價過程中,不僅需要考慮到所抵押之個別債權違約風險,亦須同時考慮其違約的相關性。而本文將在單因子模型下,放寬Hull and White之模型在違約頻率上的限制,透過Jarrow, Lando, and Turnbull之JLT模型來得到以時間同質有限狀態空間之馬可夫鏈模型,來描述債權人信用評等轉移和違約機率變動的過程。最後,再根據風險中立的假設,建立一個完整的架構來對抵押債權憑證之公平溢酬進行訂價。
After 1970, securitization is one of the most important breakthrough and innovation in the financial market. Collateralized debt obligation(CDO)is a product of securitization market and has experienced rapid growth after 1996. The SPV selects a group of the worthful debt, which will create income in the future, as underlying asset of a CDO and issues some tranches to raise fund. In the procedure for pricing a CDO, we not only need to take individual default rate into account, but consider the correlation of the default rate at the same time. Under the single factor model, we broaden the restrictions of the fixed hazard rate in Hull and White(2004)and combine the JLT model in Jarrow, Lando, and Turnbull(1997)to get a time homogeneous Markov Chain which describes the transferred process of credit rating and default rate. Finally, we structure a complete method to price the fair spread of a CDO under the
assumption of risk neutral.
摘要 ----------------------------------------------------- i
Abstract ------------------------------------------------ ii
目錄 --------------------------------------------------- iii
表目錄 --------------------------------------------------- v
圖目錄 -------------------------------------------------- vi
第一章、緒論 --------------------------------------------- 1
第二章、抵押債權憑證 ------------------------------------- 3
第一節、抵押債權憑證的架構 --------------------------- 3
第二節、CDO市場簡介 ---------------------------------- 7
第三節、文獻回顧 ------------------------------------ 11
第三章、研究方法 ---------------------------------------- 14
第一節、符號說明 ------------------------------------ 15
第二節、COPULA函數與COPULA評價模型 ------------------ 17
第三節、FACTOR COPULA模型 --------------------------- 22
第四節、JLT模型與違約次數分配 ----------------------- 27
第五節、CDO公平溢酬之評價 --------------------------- 32
第四章、模擬商品之分析 ---------------------------------- 34
第一節、資料來源與限制 ------------------------------ 34
第二節、CDO模擬商品之設計 --------------------------- 35
第三節、結果分析 ------------------------------------ 37
第五章、結論 -------------------------------------------- 46
參考文獻 ------------------------------------------------ 50
附錄 ---------------------------------------------------- 53
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