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題名 隨機違約強度模型下CDO之評價與分析-Copula方法
作者 蔡麗君
貢獻者 廖四郎<br>呂桔誠
蔡麗君
關鍵詞 資產擔保證券化
擔保債權證券
分券
ABS
CDO
Tranches
Copula
日期 2004
上傳時間 18-Sep-2009 19:21:38 (UTC+8)
摘要 資產證券化一詞源自1970年代,而第一筆資產基礎證券的發行則始於1986 年。由於其具有自資本市場直接融資、降低籌資成本、分散籌資來源、提高資本適足率等誘因之下,逐漸受到銀行以及其他企業的重視,並發展成為固定收益證券市場中比重相當大的一環。擔保債權證券交易自1988年出現在美國,然後在歐美迅速發展,目前已成為重要債券市場之一。台灣金融產業發展正值轉型期,銀行除面對低利率帶來經營壓力之外,同時亦需規避評等較差之企業貸款的信用風險,而保險業者在低利率時代來臨卻無良好報酬之投資標的可供投資。因此,此環境乃為推動證券化之良好契機。自1997年發生東南亞金融危機,乃至1998年韓國的亞洲金融危機,造成許多跨國企業紛紛裁員、關廠、甚至倒閉,造成一連串的金融危機連鎖效應。因此,公司間或產業間之榮枯是相互關聯的,且均會受總體經濟因素所影響。是以,近年來信用風險亦成為近年來財務領域上重要議題。理論或實證上,當多個標的資產之信用衍生性商品被加以開發,並用來管理信用風險的時候,需考慮多個標的資產間的違約相關性,方能準確地衡量信用風險。故在信用風險管理與信用衍生性商品的評價中,違約相關性的估計與考量顯得格外重要。結構式或縮減式模型在發展違約相關性的多變數模型中是困難的,因為其衍生性商品價值的理論推導繁複或其數值計算是相當費時。本研究是假設隨機違約強度模式下,並在多標的資產之信用風險評價模型中,透過適當個別資產之邊際違約機率與Copula函數之選擇,及其相關參數之估算,即可快速求算具違約相關性之多變數聯合機率函數,以利擔保債權證券(CDO)之評價,並模擬出未來可能損失分配,進行主次順位架構下不同分券比例的敏感度分析,以瞭解不同的次順位劃分比例對於各順位分券風險值的影響程度為何。另外,隨著國內目前證券化腳步的發展,在未來證券化商品勢必成為市場上的主流商品之一,將來可供證券化的資產種類勢必也會增加。因此,為了提高投資人對於不同資產種類的投資信心,以方便發行人對於證券化商品的銷售,信用增強機制在證券化中所佔的地位也將更形重要。在這樣的情況下,評估標的資產可能的違約損失,以決定信用增強的比例該為多少,對於發行人而言也將會是一項重要的課題。因此本文針對Copula方法與分析架構做一剖析,再以國內第一檔公募之擔保債權證券-法國里昂信貸銀行企業貸款為例,進行模擬實證並分析結果。
本研究結論如下:在信用風險管理與信用衍生性商品評價中,違約相關性是ㄧ個重要的因子。此外,本研究發現違約回收率、標的資產間的相關係數以及違約機率等三者均會影響分券信用價差的評價:就權益分券而言,信用價差與相關係數是呈反比的,而次償分券表現出來也與權益分券大致相同,相對於權益分券與次償分券,先償分券之信用價差則與債權群組內標的資產間的相關係數則是呈正比的。實證結果亦顯示,承購風險性較高的分券其估算出的合理的風險溢酬也較高,此外,當違約回收率愈高時,債務人違約後的損失愈低,因此發行者需給予證券投資人的合理風險溢酬也愈低。另外,債務人的信用評等高低影響違約機率的大小,其亦是影響CDO商品合理溢酬高低的主要關鍵。再者,假使忽略債務人之間的違約相關性時,則各分券所估算出來的合理溢酬均會有所偏誤。因此,此結果隱含,評價CDO商品之合理溢酬時,需考慮債權群組內資產間的違約相關性,亦即投資人所面對風險除分券本身的信用風險外,還需考慮到債權人違約相關之風險,違約相關性愈高則投資者所面對的風險也較高。另外,介於先償分券與權益分券之間的次償債之信用價差,其信用價差大小大致上約介於先償分券與權益分券之間,而預期損失金額則是受到各順位分券比例大小不同,而有所差異。因此,將再進行主次順位架構下不同分券比例的敏感度分析,結果顯示若次順位債權分券(即權益分券)比例愈高,愈有信用增強之作用。
最後,若將本研究所估算出來分券的合理溢酬與實際CDO契約所載明計算出的結果相比較,其間差異並不大。因此本研究所建構的評價模型應能提供發行者與市場投資人一個評價基礎,不失為一種可行方法。
參考文獻 參考文獻
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Bluhm, C., L. Overbeck and C. Wagner(2002), An introduction to credit risk modeling, Chapman & Hall.
Carey M.(1998), “Credit risk in private debt portfolios,” Journal of Finance 53(4), pages 1363-1387.
Chen, Ren-Raw and Ben J. Sopranzetti(2003), “The valuation of default-triggered credit derivative,”Journal of Financial and Quantitative Analysis, Vol. 38(2).
Cherubini, U., E. Luciano and W. Vecchiato(2004), Copula methods in finance, John Wiley & Sons, Ltd.
Choudhry, M.(2004), “Structured credit products-credit derivatives & synthetic securitization, ” Wiley Finance.
Cifuentes, A. and G. O’Connor(1996), The binomial expectation method applied to CBO/CLO analysis, Moody’s Special Report, Dec 13th 1996
Crosbie, P.J. and J.R. Bohn(2002), “Modeling default risk,” Moody’s KMV
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Galiani, S. S.(2003), “Copula functions and their application in pricing and risk managing multiname credit derivative product,” working paper,
Garcia, J., T. Dwyspelaere , L. Leonard, T. Alderweireld and T.V. Gestel(2005), “Comparing bet and cash flows CDO’s,” working paper
Giesecke, K.(2001), “Structural modeling of correlated defaults with incomplete information,” working paper, Humboldt University.
Giesecke, K. and S. Weber(2004), “Cyclical correlations, credit contagion, and portfolio losses,” Journal of Banking and Finance 28(12), pages 3009-3036.
Gill K., R. Gambel, R. V. Hrvatin, H. Katz, G. Ong and D. Carroll(2004), “Global rating criteria for collateralized debt obligations,” structured finance, Fitchratings , 13th Sep. 2004
Gordy, M. B.(2000), “A comparative anatomy of credit risk models”, Journal of Banking and Finance 24, pages 119-149.
Gupton, G.M., C. C. Finger and M. Bhatia(1997), “ CreditMetrics -technical document,” Morgan Guaranty Trust Company
Gupton, G. M.(2004), “Portfolio credit risk models,” credit derivatives –the definitive guide edited by Jon Gregory, Risk Books
Hull, J. and A. White(2004), “Valuation of a CDO and an n-th to default CDS without Monte Carlo simulation,” Journal of Derivatives 12(2), pages 8-48.
Hurst, R. R.(2001), “CDOs backed by ABS and commercial real estate,” Investing in collateralized debt obligations, edited by Frank J. Fabozzi and Laurie S. Goodman
Jarrow, R., D. Lando, and S. Turnbull(1997), “A Markov model for the term structure of credit spread,” Review of Financial Studies 10, pages 481- 523.
Jarrow, R. and S. Turnbull(1995), “Pricing derivatives on financial securities subject to credit risk,” Journal of Finance 50, pages 53- 85.
Jarrow, R. and F. Yu(2001), “Counterparty risk and the pricing of defaultable securities,” The Journal of Finance 56, pages 1765- 1799.
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Lee, C. W., C. K. Kuo and J.L. Urrutia(2004), “A Poisson model with common shocks for CDO valuation,” The Journal of Fixed Income 14(3), pages 72-82.
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Li, D. X.(2002), “Valuing synthetic CDO tranches using copula function approach,” The RiskMetrics Group working paper
Lin, S. Y.(2004), “Two essays on credit derivatives: CB asset swap and CDO,” Working paper
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Meneguzzo, D. and W. Vecchiato(2004), “Copula Sensitivity in Collateralized Debt Obligations and Basket Default Swaps,” The Journal of Futures Markets, Vol. 24(1), pages 37-70.
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Moody’s (2001), “ Default and recovery rates of corporate bond issuers:2000,”Moody’s Investor Service, February 2001
Perraudin, W.(2004), Structured credit products- pricing, rating, risk management and BaselⅡ, Risk Books
Picone, D.(2004), “A survey of CDOs and their use in bank balance sheet management,” Structured Credit Products-pricing, rating, risk management and BaselⅡ edited by William Perraudin.
Schorin, C. and S. Weinreich(2001), “Introduction to collateralized debt obligations,” Investing in collateralized debt obligations, edited by Frank J. Fabozzi and Laurie S. Goodman
Schonbucher J. and D. Schubert(2001), “Copula-dependent default risk in intensity models,” working paper, Department of Statistics, Bonn University.
Rogge E. and J. Schonbucher(2003), “Modeling dynamic portfolio credit risk,” working paper.
Sklar, A.(1959), “Fonctions de repartition a n dimensions et leurs marges,” Pub. Inst. Statisr. Univ. Paris, 8, pages 229-231.
Wilde, T.(1997), “CreditRisk+: a credit risk management framework,” Credit Suisse First Boston
Zhou, C.(2001), “An analysis of default correlations and multiple defaults,” The Review of Financial Studies, Vol. 14(2), pages 555-576.
參考網址
1. The Bond Market Association
http://www.bondmarkets.com/
2. 行政院金融監督管理委員會銀行局
http://www.boma.gov.tw/
描述 碩士
國立政治大學
金融研究所
92352012
93
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0923520121
資料類型 thesis
dc.contributor.advisor 廖四郎<br>呂桔誠zh_TW
dc.contributor.author (Authors) 蔡麗君zh_TW
dc.creator (作者) 蔡麗君zh_TW
dc.date (日期) 2004en_US
dc.date.accessioned 18-Sep-2009 19:21:38 (UTC+8)-
dc.date.available 18-Sep-2009 19:21:38 (UTC+8)-
dc.date.issued (上傳時間) 18-Sep-2009 19:21:38 (UTC+8)-
dc.identifier (Other Identifiers) G0923520121en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/36717-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 金融研究所zh_TW
dc.description (描述) 92352012zh_TW
dc.description (描述) 93zh_TW
dc.description.abstract (摘要) 資產證券化一詞源自1970年代,而第一筆資產基礎證券的發行則始於1986 年。由於其具有自資本市場直接融資、降低籌資成本、分散籌資來源、提高資本適足率等誘因之下,逐漸受到銀行以及其他企業的重視,並發展成為固定收益證券市場中比重相當大的一環。擔保債權證券交易自1988年出現在美國,然後在歐美迅速發展,目前已成為重要債券市場之一。台灣金融產業發展正值轉型期,銀行除面對低利率帶來經營壓力之外,同時亦需規避評等較差之企業貸款的信用風險,而保險業者在低利率時代來臨卻無良好報酬之投資標的可供投資。因此,此環境乃為推動證券化之良好契機。自1997年發生東南亞金融危機,乃至1998年韓國的亞洲金融危機,造成許多跨國企業紛紛裁員、關廠、甚至倒閉,造成一連串的金融危機連鎖效應。因此,公司間或產業間之榮枯是相互關聯的,且均會受總體經濟因素所影響。是以,近年來信用風險亦成為近年來財務領域上重要議題。理論或實證上,當多個標的資產之信用衍生性商品被加以開發,並用來管理信用風險的時候,需考慮多個標的資產間的違約相關性,方能準確地衡量信用風險。故在信用風險管理與信用衍生性商品的評價中,違約相關性的估計與考量顯得格外重要。結構式或縮減式模型在發展違約相關性的多變數模型中是困難的,因為其衍生性商品價值的理論推導繁複或其數值計算是相當費時。本研究是假設隨機違約強度模式下,並在多標的資產之信用風險評價模型中,透過適當個別資產之邊際違約機率與Copula函數之選擇,及其相關參數之估算,即可快速求算具違約相關性之多變數聯合機率函數,以利擔保債權證券(CDO)之評價,並模擬出未來可能損失分配,進行主次順位架構下不同分券比例的敏感度分析,以瞭解不同的次順位劃分比例對於各順位分券風險值的影響程度為何。另外,隨著國內目前證券化腳步的發展,在未來證券化商品勢必成為市場上的主流商品之一,將來可供證券化的資產種類勢必也會增加。因此,為了提高投資人對於不同資產種類的投資信心,以方便發行人對於證券化商品的銷售,信用增強機制在證券化中所佔的地位也將更形重要。在這樣的情況下,評估標的資產可能的違約損失,以決定信用增強的比例該為多少,對於發行人而言也將會是一項重要的課題。因此本文針對Copula方法與分析架構做一剖析,再以國內第一檔公募之擔保債權證券-法國里昂信貸銀行企業貸款為例,進行模擬實證並分析結果。
本研究結論如下:在信用風險管理與信用衍生性商品評價中,違約相關性是ㄧ個重要的因子。此外,本研究發現違約回收率、標的資產間的相關係數以及違約機率等三者均會影響分券信用價差的評價:就權益分券而言,信用價差與相關係數是呈反比的,而次償分券表現出來也與權益分券大致相同,相對於權益分券與次償分券,先償分券之信用價差則與債權群組內標的資產間的相關係數則是呈正比的。實證結果亦顯示,承購風險性較高的分券其估算出的合理的風險溢酬也較高,此外,當違約回收率愈高時,債務人違約後的損失愈低,因此發行者需給予證券投資人的合理風險溢酬也愈低。另外,債務人的信用評等高低影響違約機率的大小,其亦是影響CDO商品合理溢酬高低的主要關鍵。再者,假使忽略債務人之間的違約相關性時,則各分券所估算出來的合理溢酬均會有所偏誤。因此,此結果隱含,評價CDO商品之合理溢酬時,需考慮債權群組內資產間的違約相關性,亦即投資人所面對風險除分券本身的信用風險外,還需考慮到債權人違約相關之風險,違約相關性愈高則投資者所面對的風險也較高。另外,介於先償分券與權益分券之間的次償債之信用價差,其信用價差大小大致上約介於先償分券與權益分券之間,而預期損失金額則是受到各順位分券比例大小不同,而有所差異。因此,將再進行主次順位架構下不同分券比例的敏感度分析,結果顯示若次順位債權分券(即權益分券)比例愈高,愈有信用增強之作用。
最後,若將本研究所估算出來分券的合理溢酬與實際CDO契約所載明計算出的結果相比較,其間差異並不大。因此本研究所建構的評價模型應能提供發行者與市場投資人一個評價基礎,不失為一種可行方法。
zh_TW
dc.description.tableofcontents 目次

謝辭..............................................................................................................................Ι

摘要..............................................................................................................................Ⅱ

第一章 緒論………………………………………………………………………..…1
第一節 研究動機…………………………………………………………..1
第二節 研究目的…………………………………………………………10
第三節 研究架構………………………………………………..………..11

第二章 文獻探討……………………………………..……………………………..13
第一節 信用風險評價模型………………..……………………………..13
第二節 擔保債權證券之評價模式…………………………..…………..17
第三節 Copula方法論…………………………..……………………..…24
第四節 參考文獻總結…………………………..………………………..30

第三章 研究方法與模型設定…………………………..…………………………..33
第一節 擔保債權證券評價模式之建立…..……………………………..33
第二節 Copula數值模擬步驟…..………..………………………………40

第四章 實證分析…..………………………..………………………………………47
第一節 個案分析-國內首檔公募法國里昂信貸銀行企業貸款證券…48
第二節 擔保債權證券評價數值解…..…………………………………..55
第三節 契約條款改變對擔保債權證券價值之敏感度分析…..………..62

第五章 結論與建議…..………..………..………..………..………..………………71
第一節 結論…..………..………..…………………………..………..…..71
第二節 未來研究建議…..………..………..………..………..…………..72

參考文獻…..………..………..………..………..………..………..…………………73




圖目次
圖1.1 美國境內近年ABS主要組成、流通在外餘額及比例………………………2
圖1.2 美國境內CDOs流通在外總額及各佔ABS之比例………………..…………3
圖1.3 擔保債權證券(CDO)類型分類……………………………………..…………6
圖1.4 擔保債權證券之架構圖………………………………...…………..…………7
圖1.5 擔保債權證券之現金流量瀑布…………………………………….....………8
圖1.6 合成型CDO之架構圖……………………………...…………..…………….10
圖1.7 研究架構圖…………………………...…………..…………………….…….12
圖 4.1 擔保債權證券法國里昂信貸銀行企業貸款之產品架構…..………..…….48
圖 4.2 實證分析架構流程…..…………………………………………….…..……54
圖 4.3 華航歷史股價報酬率日資料……………………………………….….…56
圖 4.4 權益分券信用價差之敏感度分析………………………………….….…62
圖 4.5 次償分券信用價差之敏感度分析………………………………….….…62
圖 4.6 先償分券信用價差之敏感度分析………………………………….….…63
表目次
表1.1 台灣已核准的金融資產證券化商品一覽表…………………………….……4
表2.1 信用風險評價模型之比較…..………..………..………..…………………...30
表4.1 擔保債權證券法國里昂信貸銀行企業貸款之產品詳細資訊…..………….49
表4.2 法國里昂信貸銀行企業擔保貸款標的債權明細表..……..………………...50
表4.3 TCRI評等對照表…..…..……………………………………………………...52
表4.4 法國里昂信貸銀行企業貸款債權信用評等及參數設定一覽表…..…..…...52
表4.5 估計GARCH(1,1)參數和標準誤(Std error)………….………………………55
表4.6 Empirical Kendall’s τ之相關係數矩陣…..……...……………...………..57
表4.7 法國里昂信貸銀行所公佈之溢酬(單位:%/年)…..……………………58
表4.8 分券之信用價差…..………..………..………..……………………………..60
表4.9 損失函數的統計量…..………..……………………………………………..61
zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0923520121en_US
dc.subject (關鍵詞) 資產擔保證券化zh_TW
dc.subject (關鍵詞) 擔保債權證券zh_TW
dc.subject (關鍵詞) 分券zh_TW
dc.subject (關鍵詞) ABSen_US
dc.subject (關鍵詞) CDOen_US
dc.subject (關鍵詞) Tranchesen_US
dc.subject (關鍵詞) Copulaen_US
dc.title (題名) 隨機違約強度模型下CDO之評價與分析-Copula方法zh_TW
dc.type (資料類型) thesisen
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