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題名 以實現波動率估計投資組合風險值
Value at Risk of Portfolio with Realized Volatility
作者 李承儒
貢獻者 林信助
李承儒
關鍵詞 風險值
多變量GARCH模型
實現波動率
value at risk
multivariate garch
realized volatility
日期 2005
上傳時間 11-Sep-2009 17:06:47 (UTC+8)
摘要 利用風險值作為投資組合的風險管理工具,必須考慮金融資產報酬率通常具有厚尾、高峰、波動叢聚以及資產間訊息與波動性的變化也會交互影響等現象;因此實證上通常以多變量GARCH模型作為估計投資組合變異數矩陣的方法。然而多變量GARCH模型卻存在有維度上的詛咒,當投資組合包含資產數增加時會加重參數估計上的困難度。另一種估計波動率的方法,稱為實現波動率,能比多變量GARCH模型更簡易地處理投資組合高維度的問題。本文即以實現波動率、BEKK多變量GARCH模型與CCC模型,並以中鋼、台積電、國泰金為研究對象,比較三種方法估計風險值的表現。而實證結果得到利用實現波動率確實適合應用在風險值的估計上,且在表現上有略勝一籌的現象。
參考文獻 中文部分
洪幸資,2003,「控制風險值下的最適投資組合」,國立政治大學金融研究所,碩士論文。
高櫻芬、謝家和,2002。「涉險值之衡量—多變量GARCH模型之應用」,經濟論文叢刊,30,273-312。
許傑翔,2004,「多變量財務時間數列模型之風險值計算」,東吳大學商用數學所,碩士論文。
翁偉哲,2004,「風險值偏誤之衡量:以台灣期貨交易所之股價期貨為例」,國立高雄第一科技大學金融營運所,碩士論文。
英文部分
Alexander, C.O., and C. T. Leight, (1997). “On the Covariance Metrics Used in Value at Risk Models,” Journal of Derivatives, 4, 50-62.
Andersen, T., T. Bollerslev, F. X. Diebold, and H. Ebens, (2002). “The Distribution of Realized Stock Return Volatility,” Journal of Financial Economics, 61, 43-76.
Andersen, T., T. Bollerslev, F. X. Diebold, and P. Labys, (2000). “Exchange Rate Return Standardized by Realized Volatility Are (Nearly) Gaussian,” Multinational Finance Journal, 4, 159-179.
Andersen, T., T. Bollerslev, F. X. Diebold, and P. Labys, (2001). “The Distribution of Realized Exchange Rate Volatility,” Journal of the American Statistical Association, 96, 42-55.
Andersen, T., T. Bollerslev, F. X. Diebold, and P. Labys, (2003). “Modeling and Forecasting Realized Volatility,” Econometrica, 71, 579-626.
Baba, Y., R. F. Engle, D. F. Kraft and K. Kroner, (1989). “Multivariate simultaneous generalized ARCH,” manuscript.
Bollerslev, T., (1986). “Generalized autoregressive conditional heteroskedasticity,” Journal of Econometrics, 31, 307-327.
Boudoukh, J., M. Richardson, and R. Whitelow, (1998). “The Best of Both Worlds,” Risk, 11, 64-67.
Christoffersen, P., (1998). “Evaluating interval forecasts,” International Economic Review, 39, 841-862.
Engle, R.F., (1982). “Autoregressive conditional heteroskedasticity with estimates of variance of the united kingdom inflation,” Econometrica, 50, 987-1001.
Engle, R.F., and K. Kroner, (1995). “Multivariate simultaneous generalized ARCH,” Econometrics Theory, 11, 122-150.
Hau, H., (2002). “The Role of Transaction Costs for Financial Volatility: Evidence from the Paris Bourse,” working paper.
Hoppe, R., (1998). “VaR and the unreal world,” Risk, 11, 45-50.
Jorion, P., (2000). Value at Risk—The New Benchmark for Controlling Market Risk, McGraw-Hill, New York.
Giot, P., (2005). “Implied Volatility Indexes and Daily Value at Risk Models,” Journal of Derivatives , 12, 54-64.
Giot, P., and S. Laurent, (2004). “Modelling daily Value-at-Risk using realized volatility and ARCH type models,” Journal of Empirical Finance, 11, 379-398.
Koopman, S. J., B. Jungbacker, and E. Hol, (2005). “Forecasting daily variability of the S&P 100 stock index using historical, realized and implied volatility measurements,” Journal of Empirical Finance, 12, 445-475.
Kupiec, P.H., (1995). “Techniques for Verifying the Accuracy of Risk Measurement Models,” Journal of Derivatives, 3, 73-84.
Palandri, A., (2005). “Sequential Conditional Correlations: Inference and Evaluation,” working paper.
Taylor, S. J., and X. Xu, (1997). “The Incremental Volatility Information in One Million Foreign Exchange Quotations,” Journal of Empirical Finance, 4, 317-340.
描述 碩士
國立政治大學
國際經營與貿易研究所
93351037
94
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0093351037
資料類型 thesis
dc.contributor.advisor 林信助zh_TW
dc.contributor.author (Authors) 李承儒zh_TW
dc.creator (作者) 李承儒zh_TW
dc.date (日期) 2005en_US
dc.date.accessioned 11-Sep-2009 17:06:47 (UTC+8)-
dc.date.available 11-Sep-2009 17:06:47 (UTC+8)-
dc.date.issued (上傳時間) 11-Sep-2009 17:06:47 (UTC+8)-
dc.identifier (Other Identifiers) G0093351037en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/30039-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 國際經營與貿易研究所zh_TW
dc.description (描述) 93351037zh_TW
dc.description (描述) 94zh_TW
dc.description.abstract (摘要) 利用風險值作為投資組合的風險管理工具,必須考慮金融資產報酬率通常具有厚尾、高峰、波動叢聚以及資產間訊息與波動性的變化也會交互影響等現象;因此實證上通常以多變量GARCH模型作為估計投資組合變異數矩陣的方法。然而多變量GARCH模型卻存在有維度上的詛咒,當投資組合包含資產數增加時會加重參數估計上的困難度。另一種估計波動率的方法,稱為實現波動率,能比多變量GARCH模型更簡易地處理投資組合高維度的問題。本文即以實現波動率、BEKK多變量GARCH模型與CCC模型,並以中鋼、台積電、國泰金為研究對象,比較三種方法估計風險值的表現。而實證結果得到利用實現波動率確實適合應用在風險值的估計上,且在表現上有略勝一籌的現象。zh_TW
dc.description.tableofcontents 1 前言
     2 風險值、多變量GARCH模型與實現波動率
     2.1 風險值觀念介紹與計算方法
     2.1.1 變異數-共變異數法
     2.1.2 歷史模擬法
     2.1.3 蒙地卡羅模擬法
     2.2 多變量GARCH模型
     2.2.1 CCC模型
     2.2.2 BEKK模型
     2.3 實現波動率
     3 實證研究
     3.1 檢定方法
     3.1.1 二項分配檢定
     3.1.2 概似比檢定
     3.1.3 條件涵蓋檢定法
     3.2 資料來源
     3.3 實證結果
     3.3.1 實現波動率
     3.3.2 CCC與BEKK模型
     3.3.3 風險值回顧測試
     4 結論與建議
     4.1 結論
     4.2 研究限制與未來研究方向
     參考文獻
     附錄
zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0093351037en_US
dc.subject (關鍵詞) 風險值zh_TW
dc.subject (關鍵詞) 多變量GARCH模型zh_TW
dc.subject (關鍵詞) 實現波動率zh_TW
dc.subject (關鍵詞) value at risken_US
dc.subject (關鍵詞) multivariate garchen_US
dc.subject (關鍵詞) realized volatilityen_US
dc.title (題名) 以實現波動率估計投資組合風險值zh_TW
dc.title (題名) Value at Risk of Portfolio with Realized Volatilityen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) 中文部分zh_TW
dc.relation.reference (參考文獻) 洪幸資,2003,「控制風險值下的最適投資組合」,國立政治大學金融研究所,碩士論文。zh_TW
dc.relation.reference (參考文獻) 高櫻芬、謝家和,2002。「涉險值之衡量—多變量GARCH模型之應用」,經濟論文叢刊,30,273-312。zh_TW
dc.relation.reference (參考文獻) 許傑翔,2004,「多變量財務時間數列模型之風險值計算」,東吳大學商用數學所,碩士論文。zh_TW
dc.relation.reference (參考文獻) 翁偉哲,2004,「風險值偏誤之衡量:以台灣期貨交易所之股價期貨為例」,國立高雄第一科技大學金融營運所,碩士論文。zh_TW
dc.relation.reference (參考文獻) 英文部分zh_TW
dc.relation.reference (參考文獻) Alexander, C.O., and C. T. Leight, (1997). “On the Covariance Metrics Used in Value at Risk Models,” Journal of Derivatives, 4, 50-62.zh_TW
dc.relation.reference (參考文獻) Andersen, T., T. Bollerslev, F. X. Diebold, and H. Ebens, (2002). “The Distribution of Realized Stock Return Volatility,” Journal of Financial Economics, 61, 43-76.zh_TW
dc.relation.reference (參考文獻) Andersen, T., T. Bollerslev, F. X. Diebold, and P. Labys, (2000). “Exchange Rate Return Standardized by Realized Volatility Are (Nearly) Gaussian,” Multinational Finance Journal, 4, 159-179.zh_TW
dc.relation.reference (參考文獻) Andersen, T., T. Bollerslev, F. X. Diebold, and P. Labys, (2001). “The Distribution of Realized Exchange Rate Volatility,” Journal of the American Statistical Association, 96, 42-55.zh_TW
dc.relation.reference (參考文獻) Andersen, T., T. Bollerslev, F. X. Diebold, and P. Labys, (2003). “Modeling and Forecasting Realized Volatility,” Econometrica, 71, 579-626.zh_TW
dc.relation.reference (參考文獻) Baba, Y., R. F. Engle, D. F. Kraft and K. Kroner, (1989). “Multivariate simultaneous generalized ARCH,” manuscript.zh_TW
dc.relation.reference (參考文獻) Bollerslev, T., (1986). “Generalized autoregressive conditional heteroskedasticity,” Journal of Econometrics, 31, 307-327.zh_TW
dc.relation.reference (參考文獻) Boudoukh, J., M. Richardson, and R. Whitelow, (1998). “The Best of Both Worlds,” Risk, 11, 64-67.zh_TW
dc.relation.reference (參考文獻) Christoffersen, P., (1998). “Evaluating interval forecasts,” International Economic Review, 39, 841-862.zh_TW
dc.relation.reference (參考文獻) Engle, R.F., (1982). “Autoregressive conditional heteroskedasticity with estimates of variance of the united kingdom inflation,” Econometrica, 50, 987-1001.zh_TW
dc.relation.reference (參考文獻) Engle, R.F., and K. Kroner, (1995). “Multivariate simultaneous generalized ARCH,” Econometrics Theory, 11, 122-150.zh_TW
dc.relation.reference (參考文獻) Hau, H., (2002). “The Role of Transaction Costs for Financial Volatility: Evidence from the Paris Bourse,” working paper.zh_TW
dc.relation.reference (參考文獻) Hoppe, R., (1998). “VaR and the unreal world,” Risk, 11, 45-50.zh_TW
dc.relation.reference (參考文獻) Jorion, P., (2000). Value at Risk—The New Benchmark for Controlling Market Risk, McGraw-Hill, New York.zh_TW
dc.relation.reference (參考文獻) Giot, P., (2005). “Implied Volatility Indexes and Daily Value at Risk Models,” Journal of Derivatives , 12, 54-64.zh_TW
dc.relation.reference (參考文獻) Giot, P., and S. Laurent, (2004). “Modelling daily Value-at-Risk using realized volatility and ARCH type models,” Journal of Empirical Finance, 11, 379-398.zh_TW
dc.relation.reference (參考文獻) Koopman, S. J., B. Jungbacker, and E. Hol, (2005). “Forecasting daily variability of the S&P 100 stock index using historical, realized and implied volatility measurements,” Journal of Empirical Finance, 12, 445-475.zh_TW
dc.relation.reference (參考文獻) Kupiec, P.H., (1995). “Techniques for Verifying the Accuracy of Risk Measurement Models,” Journal of Derivatives, 3, 73-84.zh_TW
dc.relation.reference (參考文獻) Palandri, A., (2005). “Sequential Conditional Correlations: Inference and Evaluation,” working paper.zh_TW
dc.relation.reference (參考文獻) Taylor, S. J., and X. Xu, (1997). “The Incremental Volatility Information in One Million Foreign Exchange Quotations,” Journal of Empirical Finance, 4, 317-340.zh_TW