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題名 極值理論與整合風險衡量
作者 黃御綸
貢獻者 廖四郎<br>龐元愷
黃御綸
關鍵詞 風險值
極值理論
value at risk
extreme value theory
copula
AR(1)-GARCH(1,1)
日期 2003
上傳時間 14-Sep-2009 09:33:01 (UTC+8)
摘要 自從90年代以來,許多機構因為金融商品的操縱不當或是金融風暴的衝擊數度造成全球金融市場的動盪,使得風險管理的重要性與日俱增,而量化風險模型的準確性也益受重視,基於財務資料的相關性質如異質變異、厚尾現象等,本文主要結合AR(1)-GARCH(1,1)模型、極值理論、copula函數三種模型應用在風險值的估算,且將報酬分配的假設區分為三類,一是無母數模型的歷史模擬法,二是基於常態分配假設下考量隨機波動度的有母數模型,三是利用歷史資料配適尾端分配的極值理論法來對聯電、鴻海、國泰金、中鋼四檔個股和台幣兌美元、日圓兌美元、英鎊兌美元三種外匯資料作一日風險值、十日風險值、組合風險值的測試。
      實證結果發現,在一日風險值方面,95%信賴水準下以動態風險值方法表現相對較好,99%信賴水準下動態極值理論法和動態歷史模擬法皆有不錯的估計效果;就十日風險值而言,因為未來十日資產的報酬可能受到特定事件影響,所以估計上較為困難,整體看來在99%信賴水準下以條件GPD+蒙地卡羅模擬的表現相對較理想;以組合風險值來說, copula、Clayton copula+GPD marginals模擬股票或外匯組合的聯合分配不論在95%或99%信賴水準下對其風險值的估計都獲得最好的結果;雖然台灣個股股價受到上下漲跌幅7%的限制,台幣兌美元的匯率也受到央行的干涉,但以極值理論來描述資產尾端的分配情形相較於假設其他兩種分配仍有較好的估計效果。
參考文獻 一、中文部分
1.周裕峰 (2001),「結合波動性時間序列模式與極端值理論之涉險值評估模式」,未出版碩士論文,銘傳大學金融研究所。
2.王永慶 (2001),「參數型與半參數型極端涉險值模型之估計及其於壓力測試上之應用」,未出版碩士論文,銘傳大學金融研究所。
3.王君文 (2001),「極值理論風險值評估模式之探討」,未出版碩士論文,中正大學財務金融研究所。
4.周業熙 (2002),「GARCH-type 模型在VaR 之應用」,未出版碩士論文,東吳大學經濟研究所。
5.楊佩珍 (2002),「運用極值理論評估風險值-以台灣股匯市為例」,未出版碩士論文,中央大學財務金融研究所。
6.徐嘉彬 (2002),「極值理論動態風險值模型研究」,未出版碩士論文,中正大學財務金融研究所。
二、英文部分
1.Ane, T. and Kharoubi, C.(2003),“Dependence Structure and Risk Measure.”,Journal of Business,vol.76, 3,pp. 411-438.
2.Bystrom, H.(2001),“Managing Extreme Risks in Tranquil and Volatile Markets Using Conditional Extreme Value Theory.”,Working Paper,Dep. of Econometrics,Lund University.
3.Bouyé, E.(2002),“Multivariate Extremes at Work for Portfolio Risk Measurement.”,FERC Working Paper.
4.Breymann, W., Dias, A., and Embrechts, P.(2003),“Dependence Structures for Multivariate High-Frequency Data in Finance.”, Quantitative Finance, 3,pp. 1-14.
5.Danielsson, J., and Casper G. de Vries.(1997a),“Tail index and quantile estimation with very high frequency data.”,Journal of Empirical Finance, 4,pp. 241-257.
6.Danielsson, J., and Casper G. de Vries.(2000),“Value-at-Risk and Extreme Returns.”,London School of Economics,FMGDiscussion Paper no.273.
7.Di Clemente, A. and Romano, C.(2003),“Measuring portfolio value at risk by a copula-EVT based approach.”,Working Paper,University of Rome,“La Sapienza”.
8.Embrechts, P., C. Klüppelberg, and T. Mikosch(1997),“Modelling extremal events for insurance and finance.”,Springer,Berlin.
9.Embrechts, P., A. J. McNeil and D. Straumann(1999),“Correlation and Dependence in Risk Management: Properties and Pitfalls.”, To appear in Risk Management: Value at Risk andBeyond, ed. By M. Dempster and H. K. Moffatt, Cambridge University Press.
10.Embrechts, P., F. Lindskog and A. J. McNeil(2001),“Modelling dependence with copulas and applications to risk management.”,ETH Zurich,preprint.
11.Joe, H.(1997),“Multivariate Models and Dependence Concepts.”, Chapman & Hall, London.
12.Jorion, P.(1997),“Value-at-Risk:The new benchmark for controlling market risk.”,Chicago:Irwin. Publishing.
13.Junker, M.,May, A.and Szimayer, A.(2002),“Measurement of Aggregate Risk with Copulas.”,Preprint CAESAR.
14.Longin, F. M.(1999)“From value at risk to stress testing: the extreme value approach.”,Journal of Banking and Finance”,24,pp. 1097-1130.
15.McNeil, A.J.(1999),“Extreme value theory for risk managers.”, Internal Modelling and CAD II published by RISK Book.
16.McNeil, A,J, and R. Frey(2000),“Estimation of tail-related risk measures forheteroscedastic financial time series: an extreme value approach.”,Journal of Empirical Finance,7, pp. 271-300.
17.Nelsen, R.(1998),“An Introduction to Copulas.”,Springer, New York.
18.Romano, C.(2002a),“Applying Copula Function to Risk Management.”, Working Paper,University of Rome,“La Sapienza”.
19.Tsay, R.S.(2002),“ Analysis of Financial Time Series.”,John Wiley & Sons, New York.
20.Wang, S. S.(1999),“Aggregation of Correlated Risk Portfolios: Models & Algorithms.”,CAS Committee on Theory of Risk,Working Paper.
描述 碩士
國立政治大學
金融研究所
91352021
92
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0913520211
資料類型 thesis
dc.contributor.advisor 廖四郎<br>龐元愷zh_TW
dc.contributor.author (Authors) 黃御綸zh_TW
dc.creator (作者) 黃御綸zh_TW
dc.date (日期) 2003en_US
dc.date.accessioned 14-Sep-2009 09:33:01 (UTC+8)-
dc.date.available 14-Sep-2009 09:33:01 (UTC+8)-
dc.date.issued (上傳時間) 14-Sep-2009 09:33:01 (UTC+8)-
dc.identifier (Other Identifiers) G0913520211en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/31216-
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) 91352021zh_TW
dc.description (描述) 92zh_TW
dc.description.abstract (摘要) 自從90年代以來,許多機構因為金融商品的操縱不當或是金融風暴的衝擊數度造成全球金融市場的動盪,使得風險管理的重要性與日俱增,而量化風險模型的準確性也益受重視,基於財務資料的相關性質如異質變異、厚尾現象等,本文主要結合AR(1)-GARCH(1,1)模型、極值理論、copula函數三種模型應用在風險值的估算,且將報酬分配的假設區分為三類,一是無母數模型的歷史模擬法,二是基於常態分配假設下考量隨機波動度的有母數模型,三是利用歷史資料配適尾端分配的極值理論法來對聯電、鴻海、國泰金、中鋼四檔個股和台幣兌美元、日圓兌美元、英鎊兌美元三種外匯資料作一日風險值、十日風險值、組合風險值的測試。
      實證結果發現,在一日風險值方面,95%信賴水準下以動態風險值方法表現相對較好,99%信賴水準下動態極值理論法和動態歷史模擬法皆有不錯的估計效果;就十日風險值而言,因為未來十日資產的報酬可能受到特定事件影響,所以估計上較為困難,整體看來在99%信賴水準下以條件GPD+蒙地卡羅模擬的表現相對較理想;以組合風險值來說, copula、Clayton copula+GPD marginals模擬股票或外匯組合的聯合分配不論在95%或99%信賴水準下對其風險值的估計都獲得最好的結果;雖然台灣個股股價受到上下漲跌幅7%的限制,台幣兌美元的匯率也受到央行的干涉,但以極值理論來描述資產尾端的分配情形相較於假設其他兩種分配仍有較好的估計效果。
zh_TW
dc.description.tableofcontents 第一章 緒論....................................1
     第一節 研究背景與動機.................................1
     第二節 研究問題與目的.................................4
     第三節 研究架構與流程.................................6
     第二章 文獻回顧................................8
     第一節 風險值介紹.....................................8
     第二節 極值理論相關文獻...............................10
     第三節 copula應用相關文獻.............................13
     第三章 研究方法................................16
     第一節 靜態風險值估計方法..............................16
     第二節 動態風險值估計方法..............................25
     第三節 多日風險值估計方法..............................29
     第四節 組合風險值估計方法..............................31
     第五節 風險值驗證方法..................................43
     第四章 實證分析................................45
     第一節 資料分析與參數估計..............................45
     第二節 一日風險值實證結果..............................53
     第三節 多日風險值實證結果..............................60
     第四節 組合風險值實證結果..............................64
     第五章 結論....................................74
     參考文獻...............................................77
     附錄...................................................80
zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0913520211en_US
dc.subject (關鍵詞) 風險值zh_TW
dc.subject (關鍵詞) 極值理論zh_TW
dc.subject (關鍵詞) value at risken_US
dc.subject (關鍵詞) extreme value theoryen_US
dc.subject (關鍵詞) copulaen_US
dc.subject (關鍵詞) AR(1)-GARCH(1,1)en_US
dc.title (題名) 極值理論與整合風險衡量zh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) 一、中文部分zh_TW
dc.relation.reference (參考文獻) 1.周裕峰 (2001),「結合波動性時間序列模式與極端值理論之涉險值評估模式」,未出版碩士論文,銘傳大學金融研究所。zh_TW
dc.relation.reference (參考文獻) 2.王永慶 (2001),「參數型與半參數型極端涉險值模型之估計及其於壓力測試上之應用」,未出版碩士論文,銘傳大學金融研究所。zh_TW
dc.relation.reference (參考文獻) 3.王君文 (2001),「極值理論風險值評估模式之探討」,未出版碩士論文,中正大學財務金融研究所。zh_TW
dc.relation.reference (參考文獻) 4.周業熙 (2002),「GARCH-type 模型在VaR 之應用」,未出版碩士論文,東吳大學經濟研究所。zh_TW
dc.relation.reference (參考文獻) 5.楊佩珍 (2002),「運用極值理論評估風險值-以台灣股匯市為例」,未出版碩士論文,中央大學財務金融研究所。zh_TW
dc.relation.reference (參考文獻) 6.徐嘉彬 (2002),「極值理論動態風險值模型研究」,未出版碩士論文,中正大學財務金融研究所。zh_TW
dc.relation.reference (參考文獻) 二、英文部分zh_TW
dc.relation.reference (參考文獻) 1.Ane, T. and Kharoubi, C.(2003),“Dependence Structure and Risk Measure.”,Journal of Business,vol.76, 3,pp. 411-438.zh_TW
dc.relation.reference (參考文獻) 2.Bystrom, H.(2001),“Managing Extreme Risks in Tranquil and Volatile Markets Using Conditional Extreme Value Theory.”,Working Paper,Dep. of Econometrics,Lund University.zh_TW
dc.relation.reference (參考文獻) 3.Bouyé, E.(2002),“Multivariate Extremes at Work for Portfolio Risk Measurement.”,FERC Working Paper.zh_TW
dc.relation.reference (參考文獻) 4.Breymann, W., Dias, A., and Embrechts, P.(2003),“Dependence Structures for Multivariate High-Frequency Data in Finance.”, Quantitative Finance, 3,pp. 1-14.zh_TW
dc.relation.reference (參考文獻) 5.Danielsson, J., and Casper G. de Vries.(1997a),“Tail index and quantile estimation with very high frequency data.”,Journal of Empirical Finance, 4,pp. 241-257.zh_TW
dc.relation.reference (參考文獻) 6.Danielsson, J., and Casper G. de Vries.(2000),“Value-at-Risk and Extreme Returns.”,London School of Economics,FMGDiscussion Paper no.273.zh_TW
dc.relation.reference (參考文獻) 7.Di Clemente, A. and Romano, C.(2003),“Measuring portfolio value at risk by a copula-EVT based approach.”,Working Paper,University of Rome,“La Sapienza”.zh_TW
dc.relation.reference (參考文獻) 8.Embrechts, P., C. Klüppelberg, and T. Mikosch(1997),“Modelling extremal events for insurance and finance.”,Springer,Berlin.zh_TW
dc.relation.reference (參考文獻) 9.Embrechts, P., A. J. McNeil and D. Straumann(1999),“Correlation and Dependence in Risk Management: Properties and Pitfalls.”, To appear in Risk Management: Value at Risk andBeyond, ed. By M. Dempster and H. K. Moffatt, Cambridge University Press.zh_TW
dc.relation.reference (參考文獻) 10.Embrechts, P., F. Lindskog and A. J. McNeil(2001),“Modelling dependence with copulas and applications to risk management.”,ETH Zurich,preprint.zh_TW
dc.relation.reference (參考文獻) 11.Joe, H.(1997),“Multivariate Models and Dependence Concepts.”, Chapman & Hall, London.zh_TW
dc.relation.reference (參考文獻) 12.Jorion, P.(1997),“Value-at-Risk:The new benchmark for controlling market risk.”,Chicago:Irwin. Publishing.zh_TW
dc.relation.reference (參考文獻) 13.Junker, M.,May, A.and Szimayer, A.(2002),“Measurement of Aggregate Risk with Copulas.”,Preprint CAESAR.zh_TW
dc.relation.reference (參考文獻) 14.Longin, F. M.(1999)“From value at risk to stress testing: the extreme value approach.”,Journal of Banking and Finance”,24,pp. 1097-1130.zh_TW
dc.relation.reference (參考文獻) 15.McNeil, A.J.(1999),“Extreme value theory for risk managers.”, Internal Modelling and CAD II published by RISK Book.zh_TW
dc.relation.reference (參考文獻) 16.McNeil, A,J, and R. Frey(2000),“Estimation of tail-related risk measures forheteroscedastic financial time series: an extreme value approach.”,Journal of Empirical Finance,7, pp. 271-300.zh_TW
dc.relation.reference (參考文獻) 17.Nelsen, R.(1998),“An Introduction to Copulas.”,Springer, New York.zh_TW
dc.relation.reference (參考文獻) 18.Romano, C.(2002a),“Applying Copula Function to Risk Management.”, Working Paper,University of Rome,“La Sapienza”.zh_TW
dc.relation.reference (參考文獻) 19.Tsay, R.S.(2002),“ Analysis of Financial Time Series.”,John Wiley & Sons, New York.zh_TW
dc.relation.reference (參考文獻) 20.Wang, S. S.(1999),“Aggregation of Correlated Risk Portfolios: Models & Algorithms.”,CAS Committee on Theory of Risk,Working Paper.zh_TW