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題名 二次擔保債權憑證之評價及其風險衡量-條件機率獨立模型
The Valuation and Risk Measure of CDO-Squared under Conditional Independence
作者 陳嘉祺
貢獻者 江彌修
陳嘉祺
關鍵詞 擔保債權憑證
二次擔保債權憑證
條件機率獨立模型
信用衍生性商品
評價
風險衡量
CDO-Squared
CDO^2
Factor Copula
Semi-Analytic Approach
Credit Derivative
Conditonal Independence
日期 2006
上傳時間 17-Sep-2009 19:07:33 (UTC+8)
摘要 本文的主旨在評價二次擔保債權憑證。在條件獨立機率的假設下,我們使用factor copula的方法去刻劃違約事件間的相關係數,並提供了一個有效率的迴圈演算法去建構損失分配。本方法同時考慮違約數目及違約位置,同時亦可解決重疊性的問題。本文所建構的是Hull and White(2004)的延申模型。我們也對各參數作敏感度分析,以求得其對分券價差的影響。文中亦主張一些風險衝量指標,以量化重疊性的程度等風險議題。
In this paper we address the pricing issues of CDO of CDOs. Underlying the conditional indepdence assumption we use the factor copula approach to characterize the correlation of defaults events. We provide an efficient recursive algorithm that constructs the loss distribution. Our algorithm accounts for the number of defaults, the location of defaults among inner CDOs, and in addition the degree of overlapping between inner CDOs. Our algorithm is a natural extension of the probability bucketing method of Hull and White (2004). We analyze the sensitivity of different parameters on the tranche spreads of a CDO-squared, and in order to characterize the risk-reward profiles of CDO-squared tranches, we introduces appropriate risk measures that quantify the degree of overlapping among the inner CDOs.
Hull and White (2004) presents a recursive scheme known as probability bucketing approach to construct conditional loss distribution of CDO. However, this approach is insufficient to capture the complexities of CDO².
In the case of the modeling of CDO, we are concerned for the probabilities of different number of defaults upon a time horizon t, e.g., the probabilities of 3 defaults happened within a year. With the mentioned probabilities, we can then calculate the expected loss within the time horizon, which enables us to figure out the spreads of CDO.
However, in the modeling of CDO², an appropriate valuation should be able to overcome two more difficulties: (1) the overlapping structure of the underlying CDOs, and (2) the location where defaults happened, in order to get the fair spreads of CDO².
參考文獻 Andersen, L., J. Sidenius, and S. Basu (2003), "All your hedges in one basket", Risk magazine, November 2003.
Gibson, M.S. (2004), "Understanding the Risk of Synthetic CDOs", Working paper, Trading Risk Analysis Section, Division of Research and Statistics, Federal Reserve Board.
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; 8-23.
Laurent, J.P. and J. Gregory (2003), "Basket Default Swaps, CDOs and Factor Copula", working paper, ISFA Actuarial School, University of Lyon.
Li, D.X. (2000), "On default correlation: a copula approach", Journal of Fixed Income, 9(3), 43-54.
Marmery, N. (2005), "The pricing puzzle", US credit magazine April 2005.
Neugebauer, M. (2004), "Analysis of Synthetic CDOs of CDOs", Global CDO Criteria Report, Structured Finance, Fitch Ratings.
Richard Bruyere (2006) Credit derivatives and structured credit-A guide for investors, Wiley Finance.
Whetten M. (2005), "CDOs-Squared Demystified", Nomura Fixed Income Research February 2005.
描述 碩士
國立政治大學
金融研究所
93352011
95
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0933520111
資料類型 thesis
dc.contributor.advisor 江彌修zh_TW
dc.contributor.author (Authors) 陳嘉祺zh_TW
dc.creator (作者) 陳嘉祺zh_TW
dc.date (日期) 2006en_US
dc.date.accessioned 17-Sep-2009 19:07:33 (UTC+8)-
dc.date.available 17-Sep-2009 19:07:33 (UTC+8)-
dc.date.issued (上傳時間) 17-Sep-2009 19:07:33 (UTC+8)-
dc.identifier (Other Identifiers) G0933520111en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/34025-
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) 93352011zh_TW
dc.description (描述) 95zh_TW
dc.description.abstract (摘要) 本文的主旨在評價二次擔保債權憑證。在條件獨立機率的假設下,我們使用factor copula的方法去刻劃違約事件間的相關係數,並提供了一個有效率的迴圈演算法去建構損失分配。本方法同時考慮違約數目及違約位置,同時亦可解決重疊性的問題。本文所建構的是Hull and White(2004)的延申模型。我們也對各參數作敏感度分析,以求得其對分券價差的影響。文中亦主張一些風險衝量指標,以量化重疊性的程度等風險議題。zh_TW
dc.description.abstract (摘要) In this paper we address the pricing issues of CDO of CDOs. Underlying the conditional indepdence assumption we use the factor copula approach to characterize the correlation of defaults events. We provide an efficient recursive algorithm that constructs the loss distribution. Our algorithm accounts for the number of defaults, the location of defaults among inner CDOs, and in addition the degree of overlapping between inner CDOs. Our algorithm is a natural extension of the probability bucketing method of Hull and White (2004). We analyze the sensitivity of different parameters on the tranche spreads of a CDO-squared, and in order to characterize the risk-reward profiles of CDO-squared tranches, we introduces appropriate risk measures that quantify the degree of overlapping among the inner CDOs.
Hull and White (2004) presents a recursive scheme known as probability bucketing approach to construct conditional loss distribution of CDO. However, this approach is insufficient to capture the complexities of CDO².
In the case of the modeling of CDO, we are concerned for the probabilities of different number of defaults upon a time horizon t, e.g., the probabilities of 3 defaults happened within a year. With the mentioned probabilities, we can then calculate the expected loss within the time horizon, which enables us to figure out the spreads of CDO.
However, in the modeling of CDO², an appropriate valuation should be able to overcome two more difficulties: (1) the overlapping structure of the underlying CDOs, and (2) the location where defaults happened, in order to get the fair spreads of CDO².
en_US
dc.description.tableofcontents 1 Introduction-------------------------------------------p.3
2 Literature Review--------------------------------------p.6
3 Model Assumptions and Specifications-------------------p.7
3.1 Default Correlation
3.2 Model Notations and Assumptions
3.3 Model Specifications
4 Risk Measure------------------------------------------p.11
4.1 Overlapping Risk and Concentration Factor
4.2 Expected and Unexpected Loss Ratios and Leverages
5 Numerical Results-------------------------------------p.14
5.1 The Structure of the numerical CDO2
5.2 Sensitivity Analysis on Credit Spreads of Underlying CDS
5.3 Sensitivity Analysis on Factor Loading
5.4 Sensitivity Analysis on Concentration Factor
5.5 Sensitivity Analysis on Expected and Unexpected Loss Ratios and Leverages
6 Conclusion--------------------------------------------p.30
7 References--------------------------------------------p.32
zh_TW
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0933520111en_US
dc.subject (關鍵詞) 擔保債權憑證zh_TW
dc.subject (關鍵詞) 二次擔保債權憑證zh_TW
dc.subject (關鍵詞) 條件機率獨立模型zh_TW
dc.subject (關鍵詞) 信用衍生性商品zh_TW
dc.subject (關鍵詞) 評價zh_TW
dc.subject (關鍵詞) 風險衡量zh_TW
dc.subject (關鍵詞) CDO-Squareden_US
dc.subject (關鍵詞) CDO^2en_US
dc.subject (關鍵詞) Factor Copulaen_US
dc.subject (關鍵詞) Semi-Analytic Approachen_US
dc.subject (關鍵詞) Credit Derivativeen_US
dc.subject (關鍵詞) Conditonal Independenceen_US
dc.title (題名) 二次擔保債權憑證之評價及其風險衡量-條件機率獨立模型zh_TW
dc.title (題名) The Valuation and Risk Measure of CDO-Squared under Conditional Independenceen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Andersen, L., J. Sidenius, and S. Basu (2003), "All your hedges in one basket", Risk magazine, November 2003.zh_TW
dc.relation.reference (參考文獻) Gibson, M.S. (2004), "Understanding the Risk of Synthetic CDOs", Working paper, Trading Risk Analysis Section, Division of Research and Statistics, Federal Reserve Board.zh_TW
dc.relation.reference (參考文獻) 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; 8-23.zh_TW
dc.relation.reference (參考文獻) Laurent, J.P. and J. Gregory (2003), "Basket Default Swaps, CDOs and Factor Copula", working paper, ISFA Actuarial School, University of Lyon.zh_TW
dc.relation.reference (參考文獻) Li, D.X. (2000), "On default correlation: a copula approach", Journal of Fixed Income, 9(3), 43-54.zh_TW
dc.relation.reference (參考文獻) Marmery, N. (2005), "The pricing puzzle", US credit magazine April 2005.zh_TW
dc.relation.reference (參考文獻) Neugebauer, M. (2004), "Analysis of Synthetic CDOs of CDOs", Global CDO Criteria Report, Structured Finance, Fitch Ratings.zh_TW
dc.relation.reference (參考文獻) Richard Bruyere (2006) Credit derivatives and structured credit-A guide for investors, Wiley Finance.zh_TW
dc.relation.reference (參考文獻) Whetten M. (2005), "CDOs-Squared Demystified", Nomura Fixed Income Research February 2005.zh_TW