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題名 Pricing for First-to-Default Credit Default Swap with Copula
作者 林智勇
Lin,Chih Yung
貢獻者 謝淑貞
Shieh,Shwu Jane
林智勇
Lin,Chih Yung
關鍵詞 首次違約
信用違約交換
關聯性結構
first-to-default (FtD)
credit default swap (CDS)
copula function
日期 2005
上傳時間 14-Sep-2009 13:34:22 (UTC+8)
摘要 The first-to-default Credit Default Swap (CDS) with multiple assets is priced when the default barrier is changing over time, which is contrast to the assumption in most of the structural-form models. The survival function of each asset follows the lognormal distribution and the interest rate is constant over time in this article. We define the joint survival function of these assets by employing the normal and Student-t copula functions to characterize the dependence among different default probability of each asset. In addition, we investigate the empirical evidences in the pricing of CDS with two or three companies by changing the values of parameters in the model. The more interesting results show that the joint default probability increases as these assets are more positive correlated. Consequently, the price of the first-to-default CDS is much higher.
參考文獻 Black, F. and J.Cox (1976) Valuing Corporate Securities: Some Effects of Bond Indenture Provisions, Journal of Finance 31: 351–367.
Cherubini, U. , E. Luciano and W.Vecchiato (2004) Copula Methods in Finance, John Wiley & Sons,Ltd.
Duffie, D. and K. Singleton (1999) Modeling Term Structures of Defaultable Bonds, Review of Financial Studies 12: 687––720.
Finkelstein, V. , J.-P. Lardy, G. Pan, T. Ta and J. Tierney (2002) CreditGrades™ Technical Document.
Hull, J. and A. White (2001) Valuing Credit Default Swaps II: Modeling Default Correlations, Journal of Derivatives 8(3): 12–21.
Na, P. , A-R. Niu , and T. Joro (2004) A Simulation-Based First-to-Default (FtD) Credit Default Swap (CDS) Pricing Approach under Jump-Diffusion, Proceedings of the 2004 Winter Simulation Conference
Nelsen, R.B. (1999). An introduction to copulas, Springer, New York.
Jarrow, R. and S. Turnbull (1995) Pricing Derivatives on Financial Securities Subject to Credit Risk, The Journal of Finance 50: 53–85.
Li, D.X. (2000). On default correlation: a copula function approach, Journal of Fixed Income,March, 43-54.
Luciano, E. and M. Marena (2002) Copulae as a new tool in financial modelling,working paper.
Merton, R. (1974). On the Pricing of Corporate Debt: The Risk Structure of Interest Rates, Journal of Finance 29: 449–470.
描述 碩士
國立政治大學
經濟研究所
93258015
94
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0932580151
資料類型 thesis
dc.contributor.advisor 謝淑貞zh_TW
dc.contributor.advisor Shieh,Shwu Janeen_US
dc.contributor.author (Authors) 林智勇zh_TW
dc.contributor.author (Authors) Lin,Chih Yungen_US
dc.creator (作者) 林智勇zh_TW
dc.creator (作者) Lin,Chih Yungen_US
dc.date (日期) 2005en_US
dc.date.accessioned 14-Sep-2009 13:34:22 (UTC+8)-
dc.date.available 14-Sep-2009 13:34:22 (UTC+8)-
dc.date.issued (上傳時間) 14-Sep-2009 13:34:22 (UTC+8)-
dc.identifier (Other Identifiers) G0932580151en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/32282-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 經濟研究所zh_TW
dc.description (描述) 93258015zh_TW
dc.description (描述) 94zh_TW
dc.description.abstract (摘要) The first-to-default Credit Default Swap (CDS) with multiple assets is priced when the default barrier is changing over time, which is contrast to the assumption in most of the structural-form models. The survival function of each asset follows the lognormal distribution and the interest rate is constant over time in this article. We define the joint survival function of these assets by employing the normal and Student-t copula functions to characterize the dependence among different default probability of each asset. In addition, we investigate the empirical evidences in the pricing of CDS with two or three companies by changing the values of parameters in the model. The more interesting results show that the joint default probability increases as these assets are more positive correlated. Consequently, the price of the first-to-default CDS is much higher.en_US
dc.description.tableofcontents Contents
     1. Introduction 8
     2. Related Literature 11
     2.1 The theory of credit risks pricing 11
     2.2 Copula functions 13
     3. Methodology 14
     3.1 Definition, basic properties about Copula 14
     3.1.1 Definition of copula 14
     3.1.2 The Sklar (1959) theorem 14
     3.1.2 The Sklar (1959) theorem 15
     3.1.3 Definitions of Gaussian copula and t-copula function 16
     3.1.4 Solving survival function with Gaussian and t- copula function 18
     3.2 Valuing Credit Default Swap with single firm 21
     3.2.1 Firm’s assets 21
     3.2.2 Recovery rate 21
     3.2.3 Stopping time 22
     3.2.4 Survival function 22
     3.2.5 The pricing of Credit Default Swap (CDS) 23
     3.3 Valuing Credit Default Swap with two firms 24
     3.3.1 The joint survival function in Gaussian copula function 24
     3.3.2 The pricing of Credit Default Swap in two firms 25
     3.3.3 The pricing of Credit Default Swap in t-copula function 26
     
     3.4 Valuing Credit Default Swap with three firms and n firms 27
     3.4.1 The pricing of CDS in three firms with Gaussian and t-copula function 27
     3.4.2 The pricing of CDS in n firms with Gaussian and t-copula function 28
     4. Empirical and Simulation Results 29
     4.1 Data 29
     4.2 Empirical Results 32
     4.2.1 The pricing of two firms in Gaussian copula and t-copula function 33
     4.2.2 The pricing of three firms in Gaussian copula and t-copula function 35
     4.3 Simulation Results 36
     4.3.1 The effect and the Sensitivities to the model parameters 37
     5. Conclusion 42
     References 44
zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0932580151en_US
dc.subject (關鍵詞) 首次違約zh_TW
dc.subject (關鍵詞) 信用違約交換zh_TW
dc.subject (關鍵詞) 關聯性結構zh_TW
dc.subject (關鍵詞) first-to-default (FtD)en_US
dc.subject (關鍵詞) credit default swap (CDS)en_US
dc.subject (關鍵詞) copula functionen_US
dc.title (題名) Pricing for First-to-Default Credit Default Swap with Copulazh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Black, F. and J.Cox (1976) Valuing Corporate Securities: Some Effects of Bond Indenture Provisions, Journal of Finance 31: 351–367.zh_TW
dc.relation.reference (參考文獻) Cherubini, U. , E. Luciano and W.Vecchiato (2004) Copula Methods in Finance, John Wiley & Sons,Ltd.zh_TW
dc.relation.reference (參考文獻) Duffie, D. and K. Singleton (1999) Modeling Term Structures of Defaultable Bonds, Review of Financial Studies 12: 687––720.zh_TW
dc.relation.reference (參考文獻) Finkelstein, V. , J.-P. Lardy, G. Pan, T. Ta and J. Tierney (2002) CreditGrades™ Technical Document.zh_TW
dc.relation.reference (參考文獻) Hull, J. and A. White (2001) Valuing Credit Default Swaps II: Modeling Default Correlations, Journal of Derivatives 8(3): 12–21.zh_TW
dc.relation.reference (參考文獻) Na, P. , A-R. Niu , and T. Joro (2004) A Simulation-Based First-to-Default (FtD) Credit Default Swap (CDS) Pricing Approach under Jump-Diffusion, Proceedings of the 2004 Winter Simulation Conferencezh_TW
dc.relation.reference (參考文獻) Nelsen, R.B. (1999). An introduction to copulas, Springer, New York.zh_TW
dc.relation.reference (參考文獻) Jarrow, R. and S. Turnbull (1995) Pricing Derivatives on Financial Securities Subject to Credit Risk, The Journal of Finance 50: 53–85.zh_TW
dc.relation.reference (參考文獻) Li, D.X. (2000). On default correlation: a copula function approach, Journal of Fixed Income,March, 43-54.zh_TW
dc.relation.reference (參考文獻) Luciano, E. and M. Marena (2002) Copulae as a new tool in financial modelling,working paper.zh_TW
dc.relation.reference (參考文獻) Merton, R. (1974). On the Pricing of Corporate Debt: The Risk Structure of Interest Rates, Journal of Finance 29: 449–470.zh_TW