Publications-Theses

題名 金融風險測度與極值相依之應用─以台灣金融市場為例
Measuring financial risk and extremal dependence between financial markets in Taiwan
作者 劉宜芳
貢獻者 毛維凌
劉宜芳
關鍵詞 極端值理論
極值相依度
預期損失
風險值
Extreme Value Theory
Extremal Dependence
Expected Shortfall
Value at Risk
日期 2006
上傳時間 18-Sep-2009 16:06:11 (UTC+8)
摘要 This paper links two applications of Extreme Value Theory (EVT) to analyze Taiwanese financial markets: 1. computation of Value at Risk (VaR) and Expected Shortfall (ES) 2. estimates of cross-market dependence under extreme events. Daily data from the Taiwan Stock Exchange Capitalization Weight Stock Index (TAIEX) and the foreign exchange rate, USD/NTD, are employed to analyze the behavior of each return and the dependence structure between the foreign exchange market and the equity market. In the univariate case, when computing risk measures, EVT provides us a more accurate way to estimate VaR. In bivariate case, when measuring extremal dependence, the results of whole period data show the extremal dependence between two markets is asymptotically independent, and the analyses of subperiods illustrate that the relation is slightly dependent in specific periods. Therefore, there is no significant evidence that extreme events appeared in one market (the equity market or the foreign exchange market) will affect another in Taiwan.
參考文獻 Alexander J. McNeil, Rudiger Frey (2000), "Estimation of tail-related risk measures for heteroscedastic financial time series: an extreme value approach," Journal of Empirical Finance 7, 271-300.
Ang, A. and J. Chen (2002), "Asymmetric Correlations of Equity Portfolios," Journal of Financial Economics 63, 3, pp.443-494.
Artzner, P., F. Dellbaen, J. Eber and D. Heath (1997), "Thinking Coherently," Risk 10(11), pp. 68-71.
Beirlant, J., J. Teugels and P. Vynckier (1996), "Practical Analysis of Extreme Values," Leuven University Press.
Bouye, E., V. Durrleman, A. Nikeghbali, G. Riboulet and T. Roncalli (2000), "Copula for Finance-A Reading Guide and Some Applications," Groupe de Recherche Operationnelle, Credit Lyonnais, Working Paper.
Britten-Jones, M. and Schaefer, S.M. (1999), "Non-linear Value-at-Risk," European Finance Review, 2, pp.161-187.
Coles, S. G. and Tawn, J. A. (1991), "Modelling Extreme Multivariate Events," J. Roy. Statist. Soc. Ser. B 53, pp. 377-392.
Coles, S. G. and Tawn, J. A. (1994), "Statistical Methods for Multivariate Extremes: An Application to Structural Design (with discussion)," Appl. Statist. 43, pp. 1-48.
Coles, S. G. and Tawn, J. A. (1999), "Dependence Measures for Extreme Value Analyses," Extremes 3, pp. 5-38.
Danielsson J., and C.G. de Vries (1997), "Tail Index and Quantile Estimation with Very High Frequency Data," Journal of Empirical Finance, 4, pp.241-257.
Davison, A. C., and R. L. Smith (1990), "Models for Exceedances over High Thresholds," Journal of the Royal Statistical Society B 52}, pp. 393-442.
de Haan, L. (1985), "Extremes in High Dimensions: the Model and Some Statistics," Proc. 45th Sess. Internat. Statist. Inst., paper 26.3. International Statistical Institute, the Hague.
de Haan, L. and de Ronde, J. (1998), "Sea and Wind: Multivariate Extremes at Work," Extremes 1, pp. 7-45.
Embrechts, P., C. Kluppelgerg, and T. Mikosch (1997), "Modelling Extremal Events for Insurance and Finance," Springer-Verlag, Berlin.
Embrechts, P., S. Resnick and G. Samorodnitsky (1998), "Living on the Edge," Risk 11(1), pp. 96-100.
Embrechts, P., A. McNeil and D. Straumann (1999), "Correlation: Pitfalls and Alternatives," Working Paper}, ETH Zurich.
Embrechts, P., F. Lindskog and A. McNeil (2001), "Modeling Dependence with Copulas and Applications to Risk Management," Working Paper, ETH Zurich.
Falk, M., J. Husler and R. Reiss (1994), "Laws of Small Numbers: Extremes and Rare Events," Birkhauser, Basel.
Fisher, R. A., and L. H. C. Tippett (1928), "Limiting Forms of the Frequency Distributions of the Largest or Smallest Member of a Sample," Proceedings of the Cambridge Philosophical Society 24, pp. 180-90.
Forbes, K. and R. Rigobon (1999), "Measuring Contagion: Conceptual and Empirical Issues," Massachusetts Institute of Technology, Sloan School of Management, Working Paper.
Gnedenko, B. V. (1943), "Sur la distribution limite du terme d`une serie aleatoire," Annals of Mathematics, 44, pp.423-453.
Hartmann, P., Straetmans, S. and de Vries, C. G. (2000), "Asset market linkages in crisis periods," Working paper, Erasmus University, Rotterdam.
Heffernan, J. E. (2001), "A Directory of Coefficients of Tail Dependence," Extremes 3(3), pp. 279-290.
Joe, H. (1997), "Multivariate Models and Dependence Concepts," Monographs on Statistics and Applied Probability, 73, Chapmann & Hall, London.
Jondeau, E. and M. Rockinger (1999), "Conditional Volatility, Skewness and Kurtosis: Existence and Persistence," HEC Working Paper.
Leadbetter, M. R. (1991), "On a Basis for `Peaks over Threshold` Modeling,"Statistics and Probability Letters 12, pp. 357-62.
Ledford, A. W. and Tawn, J. A. (1996), "Statistics for Near Independence in Multivariate Extreme Values," Biometrika 83, pp. 169-187.
Ledford, A. W. and Tawn, J. A. (1997), "Modeling dependence within joint tail regions," J. Roy. Statist. Soc. Ser. B 49, pp. 475-499.
Ledford, A. W. and Tawn, J. A. (1998), "Concomitant Tail Behaviour for Extremes," Adv. Appl. Probab.} 30, pp. 197-215.
Longin, F. (1996), "The Asymptotic Distribution of Extreme Stock Market Returns," Journal of Business, 63, pp.383-408.
Longin, F. and B. Solnik (2000), "Extreme Correlation of International Equity Market," Journal of Finance 56, pp.649-679.
Mandelbrot B.B., (1963), "The Variation of Certain Speculative Prices," Journal of Bussiness 36, pp.392-417.
Marsh, T. A. and Wagner, N. (2000), "Return-volume Dependence and Extremes in International markets. Working paper, Haas School of Business, University of California, Berkeley.
Martens, M. and Poon, S. (2001), "Returns Synchronization and Daily Correlation Dynamics between International Stock Markets," J. Banking Finance 25, pp. 1805-1827.
McNeil, A. (1997), "Estimating the Tails of Loss Severity Distributions using Extreme Value Theory," ASTIN Bulletin 27, pp. 117-37.
McNeil, A. (1999), "Extreme Value Theory for Risk Managers," Internal Modeling and CAD II published by RISK Books, pp. 93-113.
Nelsen, R. B. (1998), "An Introduction to Copulas," Lectures Notes in Statistics, 139, Spring Verlag, New York.
Pagan A. (1996), "The Econometrics of Financial Markets," Journal of Empirical Finance}, 7, pp. 271-300.
Pickands, J. (1981), "Multivariate Extreme Value Distributions," in Bulletin of the International Statistical Institute, Proceedings of the 43 rd Session, Buenos Aires 1981, pp.859-878.
Poon, S., Rockinger, M. and Tawn, J. A. (2003), "Extreme-value Dependence in Financial Markets: Diagnostics, Models and Financial Implications," The Review of Financial Studies, 17-2, pp. 581-610.
Poon, S., Rockinger, M. and Tawn, J. A. (2003), "Modelling Extreme-value Dependence in International Stock Markets," Statistica Sinica 13, pp. 929-953.
R. Smith (2000), "Measuring Risk with Extreme Value Theory," In P. Embrechts, editor, Extremes and Integrated Risk Management, pp. 19-35.
Reiss, R. and M. Thomas (1996), "Statistical Analysis of Extreme Values," Birkhauser, Basel.
Rouvinez, C. (1997), "Going Greek with VaR," Risk, 10(2), pp.57-65.
Sklar, A. (1959), "Fontions de Repartition a n Dimentins et Leaurs Marges," Publications de l`Iniversit e de Paris, 8, 229-231.
Stuaricua, C. (1999), "Multivariate Extremes for Models with Constant Conditional Correlations," J. Empirical Finance 6, pp. 515-553.
Straetmans, S. (1998), "Spillovers in Financial Markets," Conference Proceedings of the HFDF-II Conference, Zurich.
Tawn, J. A. (1988), "Bivariate Extreme Value Theory: Models and Estimation," Biometrika 75, pp. 397-415.
Wilson, T. (1999), "Value at Risk," in Risk Management and Analysis, Vol. 1, pp.61-124.
描述 碩士
國立政治大學
經濟研究所
93258006
95
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0932580061
資料類型 thesis
dc.contributor.advisor 毛維凌zh_TW
dc.contributor.author (Authors) 劉宜芳zh_TW
dc.creator (作者) 劉宜芳zh_TW
dc.date (日期) 2006en_US
dc.date.accessioned 18-Sep-2009 16:06:11 (UTC+8)-
dc.date.available 18-Sep-2009 16:06:11 (UTC+8)-
dc.date.issued (上傳時間) 18-Sep-2009 16:06:11 (UTC+8)-
dc.identifier (Other Identifiers) G0932580061en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/35811-
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) 93258006zh_TW
dc.description (描述) 95zh_TW
dc.description.abstract (摘要) This paper links two applications of Extreme Value Theory (EVT) to analyze Taiwanese financial markets: 1. computation of Value at Risk (VaR) and Expected Shortfall (ES) 2. estimates of cross-market dependence under extreme events. Daily data from the Taiwan Stock Exchange Capitalization Weight Stock Index (TAIEX) and the foreign exchange rate, USD/NTD, are employed to analyze the behavior of each return and the dependence structure between the foreign exchange market and the equity market. In the univariate case, when computing risk measures, EVT provides us a more accurate way to estimate VaR. In bivariate case, when measuring extremal dependence, the results of whole period data show the extremal dependence between two markets is asymptotically independent, and the analyses of subperiods illustrate that the relation is slightly dependent in specific periods. Therefore, there is no significant evidence that extreme events appeared in one market (the equity market or the foreign exchange market) will affect another in Taiwan.zh_TW
dc.description.tableofcontents 1 Introduction
2 Risk Measure
2.1 Value-at-Risk (VaR)
2.2 Expected Shortfall (ES)
3 Extreme Value Theory
3.1 Distribution of Maxima
3.2 Block Maxima Model
3.3 Peak over Threshold (POT)Model
3.3.1 Generalized Pareto Distribution Approach
4 Measuring Extremal Dependence
4.1 Extremal Dependence Measure
4.2 An Alternative Measure of Dependence
4.3 Estimation for Dependence Measure
5 Empricial Analysis
5.1 Description of the Data and the Statistical Testing
5.2 Choosing the Threshold
5.2.1 Mean Excess Plot
5.2.2 Shape Parameter Plot
5.3 Generalized Pareto Distribution Fit
5.4 Estimation of the Tails
5.5 Extremal Dependence
5.5.1 Whole Period Analysis
5.5.2 Subperiod Analysis
6 Conclusion
References
Appendiex
zh_TW
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0932580061en_US
dc.subject (關鍵詞) 極端值理論zh_TW
dc.subject (關鍵詞) 極值相依度zh_TW
dc.subject (關鍵詞) 預期損失zh_TW
dc.subject (關鍵詞) 風險值zh_TW
dc.subject (關鍵詞) Extreme Value Theoryen_US
dc.subject (關鍵詞) Extremal Dependenceen_US
dc.subject (關鍵詞) Expected Shortfallen_US
dc.subject (關鍵詞) Value at Risken_US
dc.title (題名) 金融風險測度與極值相依之應用─以台灣金融市場為例zh_TW
dc.title (題名) Measuring financial risk and extremal dependence between financial markets in Taiwanen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Alexander J. McNeil, Rudiger Frey (2000), "Estimation of tail-related risk measures for heteroscedastic financial time series: an extreme value approach," Journal of Empirical Finance 7, 271-300.zh_TW
dc.relation.reference (參考文獻) Ang, A. and J. Chen (2002), "Asymmetric Correlations of Equity Portfolios," Journal of Financial Economics 63, 3, pp.443-494.zh_TW
dc.relation.reference (參考文獻) Artzner, P., F. Dellbaen, J. Eber and D. Heath (1997), "Thinking Coherently," Risk 10(11), pp. 68-71.zh_TW
dc.relation.reference (參考文獻) Beirlant, J., J. Teugels and P. Vynckier (1996), "Practical Analysis of Extreme Values," Leuven University Press.zh_TW
dc.relation.reference (參考文獻) Bouye, E., V. Durrleman, A. Nikeghbali, G. Riboulet and T. Roncalli (2000), "Copula for Finance-A Reading Guide and Some Applications," Groupe de Recherche Operationnelle, Credit Lyonnais, Working Paper.zh_TW
dc.relation.reference (參考文獻) Britten-Jones, M. and Schaefer, S.M. (1999), "Non-linear Value-at-Risk," European Finance Review, 2, pp.161-187.zh_TW
dc.relation.reference (參考文獻) Coles, S. G. and Tawn, J. A. (1991), "Modelling Extreme Multivariate Events," J. Roy. Statist. Soc. Ser. B 53, pp. 377-392.zh_TW
dc.relation.reference (參考文獻) Coles, S. G. and Tawn, J. A. (1994), "Statistical Methods for Multivariate Extremes: An Application to Structural Design (with discussion)," Appl. Statist. 43, pp. 1-48.zh_TW
dc.relation.reference (參考文獻) Coles, S. G. and Tawn, J. A. (1999), "Dependence Measures for Extreme Value Analyses," Extremes 3, pp. 5-38.zh_TW
dc.relation.reference (參考文獻) Danielsson J., and C.G. de Vries (1997), "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) Davison, A. C., and R. L. Smith (1990), "Models for Exceedances over High Thresholds," Journal of the Royal Statistical Society B 52}, pp. 393-442.zh_TW
dc.relation.reference (參考文獻) de Haan, L. (1985), "Extremes in High Dimensions: the Model and Some Statistics," Proc. 45th Sess. Internat. Statist. Inst., paper 26.3. International Statistical Institute, the Hague.zh_TW
dc.relation.reference (參考文獻) de Haan, L. and de Ronde, J. (1998), "Sea and Wind: Multivariate Extremes at Work," Extremes 1, pp. 7-45.zh_TW
dc.relation.reference (參考文獻) Embrechts, P., C. Kluppelgerg, and T. Mikosch (1997), "Modelling Extremal Events for Insurance and Finance," Springer-Verlag, Berlin.zh_TW
dc.relation.reference (參考文獻) Embrechts, P., S. Resnick and G. Samorodnitsky (1998), "Living on the Edge," Risk 11(1), pp. 96-100.zh_TW
dc.relation.reference (參考文獻) Embrechts, P., A. McNeil and D. Straumann (1999), "Correlation: Pitfalls and Alternatives," Working Paper}, ETH Zurich.zh_TW
dc.relation.reference (參考文獻) Embrechts, P., F. Lindskog and A. McNeil (2001), "Modeling Dependence with Copulas and Applications to Risk Management," Working Paper, ETH Zurich.zh_TW
dc.relation.reference (參考文獻) Falk, M., J. Husler and R. Reiss (1994), "Laws of Small Numbers: Extremes and Rare Events," Birkhauser, Basel.zh_TW
dc.relation.reference (參考文獻) Fisher, R. A., and L. H. C. Tippett (1928), "Limiting Forms of the Frequency Distributions of the Largest or Smallest Member of a Sample," Proceedings of the Cambridge Philosophical Society 24, pp. 180-90.zh_TW
dc.relation.reference (參考文獻) Forbes, K. and R. Rigobon (1999), "Measuring Contagion: Conceptual and Empirical Issues," Massachusetts Institute of Technology, Sloan School of Management, Working Paper.zh_TW
dc.relation.reference (參考文獻) Gnedenko, B. V. (1943), "Sur la distribution limite du terme d`une serie aleatoire," Annals of Mathematics, 44, pp.423-453.zh_TW
dc.relation.reference (參考文獻) Hartmann, P., Straetmans, S. and de Vries, C. G. (2000), "Asset market linkages in crisis periods," Working paper, Erasmus University, Rotterdam.zh_TW
dc.relation.reference (參考文獻) Heffernan, J. E. (2001), "A Directory of Coefficients of Tail Dependence," Extremes 3(3), pp. 279-290.zh_TW
dc.relation.reference (參考文獻) Joe, H. (1997), "Multivariate Models and Dependence Concepts," Monographs on Statistics and Applied Probability, 73, Chapmann & Hall, London.zh_TW
dc.relation.reference (參考文獻) Jondeau, E. and M. Rockinger (1999), "Conditional Volatility, Skewness and Kurtosis: Existence and Persistence," HEC Working Paper.zh_TW
dc.relation.reference (參考文獻) Leadbetter, M. R. (1991), "On a Basis for `Peaks over Threshold` Modeling,"Statistics and Probability Letters 12, pp. 357-62.zh_TW
dc.relation.reference (參考文獻) Ledford, A. W. and Tawn, J. A. (1996), "Statistics for Near Independence in Multivariate Extreme Values," Biometrika 83, pp. 169-187.zh_TW
dc.relation.reference (參考文獻) Ledford, A. W. and Tawn, J. A. (1997), "Modeling dependence within joint tail regions," J. Roy. Statist. Soc. Ser. B 49, pp. 475-499.zh_TW
dc.relation.reference (參考文獻) Ledford, A. W. and Tawn, J. A. (1998), "Concomitant Tail Behaviour for Extremes," Adv. Appl. Probab.} 30, pp. 197-215.zh_TW
dc.relation.reference (參考文獻) Longin, F. (1996), "The Asymptotic Distribution of Extreme Stock Market Returns," Journal of Business, 63, pp.383-408.zh_TW
dc.relation.reference (參考文獻) Longin, F. and B. Solnik (2000), "Extreme Correlation of International Equity Market," Journal of Finance 56, pp.649-679.zh_TW
dc.relation.reference (參考文獻) Mandelbrot B.B., (1963), "The Variation of Certain Speculative Prices," Journal of Bussiness 36, pp.392-417.zh_TW
dc.relation.reference (參考文獻) Marsh, T. A. and Wagner, N. (2000), "Return-volume Dependence and Extremes in International markets. Working paper, Haas School of Business, University of California, Berkeley.zh_TW
dc.relation.reference (參考文獻) Martens, M. and Poon, S. (2001), "Returns Synchronization and Daily Correlation Dynamics between International Stock Markets," J. Banking Finance 25, pp. 1805-1827.zh_TW
dc.relation.reference (參考文獻) McNeil, A. (1997), "Estimating the Tails of Loss Severity Distributions using Extreme Value Theory," ASTIN Bulletin 27, pp. 117-37.zh_TW
dc.relation.reference (參考文獻) McNeil, A. (1999), "Extreme Value Theory for Risk Managers," Internal Modeling and CAD II published by RISK Books, pp. 93-113.zh_TW
dc.relation.reference (參考文獻) Nelsen, R. B. (1998), "An Introduction to Copulas," Lectures Notes in Statistics, 139, Spring Verlag, New York.zh_TW
dc.relation.reference (參考文獻) Pagan A. (1996), "The Econometrics of Financial Markets," Journal of Empirical Finance}, 7, pp. 271-300.zh_TW
dc.relation.reference (參考文獻) Pickands, J. (1981), "Multivariate Extreme Value Distributions," in Bulletin of the International Statistical Institute, Proceedings of the 43 rd Session, Buenos Aires 1981, pp.859-878.zh_TW
dc.relation.reference (參考文獻) Poon, S., Rockinger, M. and Tawn, J. A. (2003), "Extreme-value Dependence in Financial Markets: Diagnostics, Models and Financial Implications," The Review of Financial Studies, 17-2, pp. 581-610.zh_TW
dc.relation.reference (參考文獻) Poon, S., Rockinger, M. and Tawn, J. A. (2003), "Modelling Extreme-value Dependence in International Stock Markets," Statistica Sinica 13, pp. 929-953.zh_TW
dc.relation.reference (參考文獻) R. Smith (2000), "Measuring Risk with Extreme Value Theory," In P. Embrechts, editor, Extremes and Integrated Risk Management, pp. 19-35.zh_TW
dc.relation.reference (參考文獻) Reiss, R. and M. Thomas (1996), "Statistical Analysis of Extreme Values," Birkhauser, Basel.zh_TW
dc.relation.reference (參考文獻) Rouvinez, C. (1997), "Going Greek with VaR," Risk, 10(2), pp.57-65.zh_TW
dc.relation.reference (參考文獻) Sklar, A. (1959), "Fontions de Repartition a n Dimentins et Leaurs Marges," Publications de l`Iniversit e de Paris, 8, 229-231.zh_TW
dc.relation.reference (參考文獻) Stuaricua, C. (1999), "Multivariate Extremes for Models with Constant Conditional Correlations," J. Empirical Finance 6, pp. 515-553.zh_TW
dc.relation.reference (參考文獻) Straetmans, S. (1998), "Spillovers in Financial Markets," Conference Proceedings of the HFDF-II Conference, Zurich.zh_TW
dc.relation.reference (參考文獻) Tawn, J. A. (1988), "Bivariate Extreme Value Theory: Models and Estimation," Biometrika 75, pp. 397-415.zh_TW
dc.relation.reference (參考文獻) Wilson, T. (1999), "Value at Risk," in Risk Management and Analysis, Vol. 1, pp.61-124.zh_TW