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請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/23565
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dc.contributor.advisor王之彥
dc.contributor.authorYi-Chien Linen
dc.contributor.author林儀倩zh_TW
dc.date.accessioned2021-06-08T05:04:02Z-
dc.date.copyright2011-02-20
dc.date.issued2010
dc.date.submitted2011-02-14
dc.identifier.citationBandreddi, S., S. Das, and R. Fan, 2007, Correlated Default Modeling with a Forest of Binomial Trees, Journal of Fixed Income, Vol. 17, No. 3, pp.38–56.
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Burtschell, X., J. Gregory, and J. P. Laurent, 2008, A Comparative Analysis of CDO Pricing Models, working paper.
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Dai, T. S, 2009, Efficient Option Pricing on Stocks Paying Discrete or Path-Dependent Dividends with the Stair Tree, Quantitative Finance, Vol. 9, No. 7, pp. 827–838.
Das, S. and R. Sundaram, 2004, A Simple Model for Pricing Derivative Securities with Equity, Interest-rate and Default Risk, Working paper.
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Duffie, D. and N. Garleanu, 2001, Risk and Valuation of Collateralized Debt Obligations, Financial Analysts Journal, Vol. 57, pp. 41–59.
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/23565-
dc.description.abstract擔保債權憑證(Collateralized Debt Obligation: CDO)近年來發展迅速,尤其在2007年的次貸危機以及2008年的金融風暴後,更顯出正確的評價CDOs的重要性。而目前評價信用衍生性金融商品有兩大主流方法-其一是結構式模型;其二是縮減式模型,本論文建立在結合結構式模型(structural model)與縮減式模型(reduced form model)的可破產二元樹模型(Defaultable Cox, Ross and Rubinstein model: D-CRR model)之上,並利用mean-tracking方法修正D-CRR模型中股價上漲及下跌機率跳出0與1範圍的問題,之後針對D-CRR模型中的破產強度做修改,使之能對駝峰型CDS的價差結構能作出更好的解釋能力、以及更能符合結構式模型的精神,最後基於許多文獻都證實了廣義自我迴歸條件異質變異模型 (Generalized Autoregressive Conditional Heteroskedasticity: GARCH) 較符合實務上股價的表現,加上GARCH模型以考慮股價波動性對違約強度的影響,於是成就了本論文之「結合D-CRR, GARCH, 及均值對稱方法評價CDOs」的在GARCH架構下,可考慮破產之三元樹,評價CDOs的模型。zh_TW
dc.description.abstractFinding an effective pricing model for Collateralized Debt Obligations (CDOs) has become more important in these days, especially after the Subprime Mortgage Crisis in 2007 and the Financial Tsunami in 2008. Das and Sundaram (2004) and Bandreddi, Das and Fan (2007) introduce the Defaultable CRR binomial tree model (D-CRR model) to combine the structural and the reduced form model. However, some problems still exist in the D-CRR model to be solved. In order to fix the probabilities problem in D-CRR model and restrict the probabilities staying within 0 and 1, the mean-tracking method is added into the model in this thesis. In addition, the Generalized Autoregressive Conditional Heteroskedasticity (GARCH) process is employed to capture the empirical characteristics such as clustering volatilities, leptokurtic or fatter tails stock returns. Moreover, both of the impacts of the stock price and the volatilities are considered in the default intensity. Modifications are done to the default intensity equation for not only better performance in the case of hump shaped, but also better fitting with the reality.en
dc.description.provenanceMade available in DSpace on 2021-06-08T05:04:02Z (GMT). No. of bitstreams: 1
ntu-99-R97724042-1.pdf: 755424 bytes, checksum: eaa1755063ab18efd104dbc0071a2dea (MD5)
Previous issue date: 2010
en
dc.description.tableofcontents中文摘要.............................................................................................................................. II
Abstract ............................................................................................................................... III
Contents .............................................................................................................................. IV
List of Figures ....................................................................................................................... V
List of Tables ....................................................................................................................... VII
1. Introduction ..................................................................................................................... 1
1-1. Introduction of CDO ......................................................................................... 1
1-2. The pricing models of CDO .............................................................................. 2
1-3. The reasonable pricing assumptions ............................................................... 4
1-4. The modifications in this thesis ....................................................................... 5
2. The Models....................................................................................................................... 6
2-1. The D-CRR model ............................................................................................. 6
2-2. The mean tracking method ............................................................................ 11
2-3. The approximating GARCH model ................................................................. 14
3. Construction of the Defaultable Trinomial Trees under GARCH processes ................... 18
3-1. The main idea of the Defaultable Trinomial Trees ......................................... 18
3-2. Constructing of the Defaultable Trinomial Trees in the log-space ................. 21
3-3. Constructing the Defaultable Trinomial Trees under GARCH processes ....... 23
4. Statistical Analysis of Our Model ................................................................................... 25
4-1. Analysis of the impact of various parameters to the Defaultable Trinomial
Trees under GARCH processes ................................................................................... 25
i) The number of entries used to span the variance space, K ...................... 26
ii) Default parameters (θ1, θ2,θ3, and θ4) 29
iii) GARCH parameters (β0, β1, and β2) 38
4-2. Analysis of the impacts to the CDO spread when changing the value of
the parameters of the Defaultable Trinomial Trees under GARCH processes ........... 43
i) Explanation of the default behavior simulation ......................................... 43
ii) Calculating the spread of the each tranche of the CDO ............................. 45
iii) Analyzing the impact to CDO when change different input value of the
parameter of the Defaultable Trinomial Trees under GARCG process ............... 47
5. Conclusion ...................................................................................................................... 53
References .......................................................................................................................... 54
Appendix ............................................................................................................................ 56
dc.language.isoen
dc.title結合D-CRR, GARCH, 及均值對稱方法評價CDOszh_TW
dc.titlePricing CDOs with Defaultable Trinomial Trees under GARCH Processesen
dc.typeThesis
dc.date.schoolyear99-1
dc.description.degree碩士
dc.contributor.oralexamcommittee郭家豪,戴天時
dc.subject.keyword擔保債權憑證,均值對稱,廣義自我迴歸條件異質變異模型,破產強度,zh_TW
dc.subject.keywordCDO,D-CRR,GARCH,mean-tracking,en
dc.relation.page57
dc.rights.note未授權
dc.date.accepted2011-02-14
dc.contributor.author-college管理學院zh_TW
dc.contributor.author-dept國際企業學研究所zh_TW
顯示於系所單位:國際企業學系

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