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題名 高階動差對投資組合之影響
作者 黃奕栩
Huang, I Hsu
貢獻者 李桐豪
黃奕栩
Huang, I Hsu
關鍵詞 高階動差
投資組合
偏態
峰態
多項式目標求解
PGP
Portfolio
Skewness
Kurtosis
Higher Order Moment
日期 2008
上傳時間 14-Sep-2009 09:31:32 (UTC+8)
摘要 自Markowitz(1952)提出平均數-變異數準則以來,對於該準則適宜性的討論即不曾停止過。許多實證上資料顯示資產報酬率分配不為常態,而越來越多學者也對於高於二階以上之高階動差對投資決策之影響提出證實。本文利用臺灣八大類股指數報酬率分配資料,運用多目標規劃求解法進行實證,發現臺灣股票市場呈現顯著峰態性質,此外,本文樣本外試驗結果亦指出,平均數-變異數-偏態-峰態架構下之最適投資組合的報酬率高於傳統平均數-變異數架構下之最適投資組合以及大盤報酬。
參考文獻 1. Aggarwal, R. and J.D. Schatzberg (1997), “Day of the week effects, information seasonality, and higher moments of security returns”, Journal of Economics and business, 49, 1-20.
2. Arditti, F.D. (1967), “Risk and the required return on equity”, Journal of Finance 22, 19-36.
3. Arditti, F.D. (1971), “Another look at mutual fund performance”, Journal of Financial and Quantitative Analysis 6, 909-912.
4. Berényi, Z. (2001), “Performance of Leveraged Asset Funds”, Working Paper, University of Munich, 42.
5. Berényi, Z. (2005), “Measuring Hedge Funds’ Risks with Moment-based Variance-equivalent Measures”, Multi-moment Asset Pricing Models and Related Topics, Adcock-Jurczenko-Maillet Eds, Springer-Verlag, 35.
6. Blattberg, R. and Gonedes, N (1974), ‘A comparison of stable and Student distributions as statistical models for stock prices’, Journal of Business, Vol. 47, 244-280.
7. Chunhachinda, P., Krishnan Dandapani, Shahid Hamid, Arun J. Prakash
(1997), “Portfolio selection and skewness: Evidence from international stock markets”, Journal of Banking and Finance, 21(2), 143-167.
8. Cramer, H. (1957), Mathematical methods of statistics. Princeton University Press, Seventh Printing.
9. Damodaran, A. (1987), “The impact of information structure on stock returns,” Journal of Portfolio Management, 13, No.3, 53-58.
10. Davies R., H. Kat, S. Lu (2004), “Fund of Hedge Funds Portfolio Selection: A Multiple-Objective Approach”, Working Paper, ISMA Center, 44.
11. Davies, R., H. Kat, S. Lu, (2006), “Fund of hedge funds portfolio selection: A multiple-objective approach”, Working paper, Social Science Research Network.
12. Fama, E. (1963), “Mandelbrot and the stable paretian hypothesis,” Journal of Business,Vol. 36, 420-429.
13. Fama, E. (1965a), “Portfolio analysis in a stable paretian market”, Management Science 11,404-419.
14. Fama, E. (1965), “The behavior of stock market prices”, Journal of Business, Vol. 38, 34-105.
15. Fang, H. and T.Y. Lai (1997) “Co-kurtosis and capital asset pricing,” The Financial Review, 32, No.2, 293-307.
16. Haas, M. (2007), “Do Investors Dislike Kurtosis?”, Economics Bulletin Vol. 7, 1-9.
17. Ingersoll, J. (1975), "Multidimensional Security Pricing" Journal of Financial and Quantitative Analysis 10, 785-798.
18. Jöreskog, K.G. (1999), “Formulas for skewness and kurtosis”, Scientific Software International, http://www.ssicentral.com/lisrel
19. Kimball, M.S. (1990), “Precautionary Saving in the Small and in the Large", Econometrica 58, 53-73.
20. Kon, S. (1984), “Models of stock returns — A comparison”, Journal of Finance, Vol. 39, 147-165.
21. Krans, A., R.H. Litzenberger (1976), “Skewness preference and the valuation of risk assets”, Journal of Finance 31, 1085-1100.
22. Lai, T.Y. (1991), “Portfolio Selection with Skewness: A Multiple-Objective Approach”, Review of Quantitative Finance and Accounting, 1, 293-305.
23. Lee, C.F., C. Wu (1985), “The impact of kurtosis on risk stationarity: Some empirical evidence?,” Financial Review, 20, 263-269.
24. Levy, H., M. Sarnat (1972), Investment and portfolio analysis, Wiley, New York
25. Lintner, J. (1965), “The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets”, The Review of Economics and Statistics 47, 13-37.
26. Longin, F.M. (1996), “The asymptotic distribution of extreme stock market returns”, Journal of Business, Vol. 69, 383-408.
27. Mandelbrot, B. (1963), “The variation of certain speculative prices”, Journal of Business,Vol. 35, 394-419.
28. Markowitz, H. (1952), “Portfolio selection”, Journal of Finance 8, 77-91.
29. Pearson, E.S., R.B. D’Agostino, K.O. Bowman (1977), “Tests for Departure from Normality: Comparison of Powers”, Biometrika , 64 (2), 231-246.
30. Peiro, A. (1999), ‘Skewness in financial returns’, Journal of Banking and Finance, Vol. 23, 847-862.
31. Prakash, Arun J., C.H. Chang, Therese E. Pactwa (2003), “Selecting a
portfolio with skewness: Recent evidence from US, European, and Latin American equity markets”, Journal of Banking and Finance, 27(7), 1375-1390.
32. Pratt, J.W. (1964), “Risk aversion in the small and in the large”, Econometrica 32 (1/2), 122–136.
33. Rubinstein, M. (1973), “The fundamental theorem of parameter preference security valuation”, Journal of Financial and Quantitative Analysis 8, 61-69.
34. Samuelson, P. (1970), “The fundamental approximation of theorem of portfolio analysis in terms of means, variances and higher moments”, Review of Economic Studies 37, 537-542.
35. Sears, S., K.C. John Wei. (1985), “Asset pricing, higher moments, and the market risk premium: A note,” Journal of Finance, 40, 1251-1253.
36. Shapiro, S.S., M.B. Wilk, H.J. Chen (1968), “A Comparative Study of Various Tests of Normality”, Journal of American Statist. Assoc. , 63, 1343-1372.
37. Sharpe, W.F. (1964), “Capital asset prices: A theory of market equilibrium under condition of risk”, Journal of Finance 19, 425-442.
38. Simkowitz, M.A., W.L. Beedles, (1978), “Diversification in a three-moment world”, Journal of Financial and Quantitative Analysis, Vol. 13, 927-941.
39. Singleton, J. C., J. Wingender (1986), “Skewness persistence in common stock returns”, Journal of Financial and Quantitative Analysis, Vol. 21, 335-341.
40. Sun, Qian, Yuxing Yan (2003), “Skewness persistence with optimal portfolio selection”, Journal of Banking and Finance, 27(6), 1111-1121.
41. Tayi, Giri K., Paul A. Leonard (1988), “Bank balance-sheet management: An alter-native multi-objective model”, Journal of Operational Research Society, 39(4), 401-410.
42. Thorsten, T., H. Büning (2004), “Jarque_Bera Test and its Competitors for Testing Normality– A Power Comparison”, Working Paper, Institute for Statistics and Econometrics, Free University, Germany.
43. Tobin, J. (1958), “Liquidity preference as behavior towards risk”, Review of Economic Studies 25 (6/7), 65–86.
44. Yazici, B., S. Yolacan (2007), “A comparison of various tests of normality”, Journal of Statistical Computation and Simulation , 77 (2), 175-183.
描述 碩士
國立政治大學
金融研究所
96352012
97
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0096352012
資料類型 thesis
dc.contributor.advisor 李桐豪zh_TW
dc.contributor.author (Authors) 黃奕栩zh_TW
dc.contributor.author (Authors) Huang, I Hsuen_US
dc.creator (作者) 黃奕栩zh_TW
dc.creator (作者) Huang, I Hsuen_US
dc.date (日期) 2008en_US
dc.date.accessioned 14-Sep-2009 09:31:32 (UTC+8)-
dc.date.available 14-Sep-2009 09:31:32 (UTC+8)-
dc.date.issued (上傳時間) 14-Sep-2009 09:31:32 (UTC+8)-
dc.identifier (Other Identifiers) G0096352012en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/31202-
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) 96352012zh_TW
dc.description (描述) 97zh_TW
dc.description.abstract (摘要) 自Markowitz(1952)提出平均數-變異數準則以來,對於該準則適宜性的討論即不曾停止過。許多實證上資料顯示資產報酬率分配不為常態,而越來越多學者也對於高於二階以上之高階動差對投資決策之影響提出證實。本文利用臺灣八大類股指數報酬率分配資料,運用多目標規劃求解法進行實證,發現臺灣股票市場呈現顯著峰態性質,此外,本文樣本外試驗結果亦指出,平均數-變異數-偏態-峰態架構下之最適投資組合的報酬率高於傳統平均數-變異數架構下之最適投資組合以及大盤報酬。zh_TW
dc.description.tableofcontents 壹 緒論 4
      一 研究背景 . . . . . . . . . . . . . . . . . . . . 4
      二 研究目的 . . . . . . . . . . . . . . . . . . . . 5
      三 研究架構 . . . . . . . . . . . . . . . . . . . . 7
     貳 文獻探討 8
      一 高階動差 . . . . . . . . . . . . . . . . . . . . 8
      二 Polynimial Goal Programming (PGP). . . . . . . . 9
     參 研究方法 11
      一 常態分配檢定 . . . . . . . . . . . . . . . . . . 11
      二 偏態與峰態 . . . . . . . . . . . . . . . . . . . 11
      三 Polynimial Goal Programming (PGP). . . . . . . . 13
      四 樣本外試驗 . . . . . . . . . . . . . . . . . . . 18
     肆 實證分析 20
      一 資料來源 . . . . . . . . . . . . . . . . . . . . 20
      二 常態檢定與偏態峰態檢定 . . . . . . . . . . . . . 21
      三 實證結果 . . . . . . . . . . . . . . . . . . . . 32
      四 樣本外試驗 . . . . . . . . . . . . . . . . . . . 36
     伍 結論 37
     參考文獻 39
     Matlab程式碼 42
zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0096352012en_US
dc.subject (關鍵詞) 高階動差zh_TW
dc.subject (關鍵詞) 投資組合zh_TW
dc.subject (關鍵詞) 偏態zh_TW
dc.subject (關鍵詞) 峰態zh_TW
dc.subject (關鍵詞) 多項式目標求解zh_TW
dc.subject (關鍵詞) PGPen_US
dc.subject (關鍵詞) Portfolioen_US
dc.subject (關鍵詞) Skewnessen_US
dc.subject (關鍵詞) Kurtosisen_US
dc.subject (關鍵詞) Higher Order Momenten_US
dc.title (題名) 高階動差對投資組合之影響zh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) 1. Aggarwal, R. and J.D. Schatzberg (1997), “Day of the week effects, information seasonality, and higher moments of security returns”, Journal of Economics and business, 49, 1-20.zh_TW
dc.relation.reference (參考文獻) 2. Arditti, F.D. (1967), “Risk and the required return on equity”, Journal of Finance 22, 19-36.zh_TW
dc.relation.reference (參考文獻) 3. Arditti, F.D. (1971), “Another look at mutual fund performance”, Journal of Financial and Quantitative Analysis 6, 909-912.zh_TW
dc.relation.reference (參考文獻) 4. Berényi, Z. (2001), “Performance of Leveraged Asset Funds”, Working Paper, University of Munich, 42.zh_TW
dc.relation.reference (參考文獻) 5. Berényi, Z. (2005), “Measuring Hedge Funds’ Risks with Moment-based Variance-equivalent Measures”, Multi-moment Asset Pricing Models and Related Topics, Adcock-Jurczenko-Maillet Eds, Springer-Verlag, 35.zh_TW
dc.relation.reference (參考文獻) 6. Blattberg, R. and Gonedes, N (1974), ‘A comparison of stable and Student distributions as statistical models for stock prices’, Journal of Business, Vol. 47, 244-280.zh_TW
dc.relation.reference (參考文獻) 7. Chunhachinda, P., Krishnan Dandapani, Shahid Hamid, Arun J. Prakashzh_TW
dc.relation.reference (參考文獻) (1997), “Portfolio selection and skewness: Evidence from international stock markets”, Journal of Banking and Finance, 21(2), 143-167.zh_TW
dc.relation.reference (參考文獻) 8. Cramer, H. (1957), Mathematical methods of statistics. Princeton University Press, Seventh Printing.zh_TW
dc.relation.reference (參考文獻) 9. Damodaran, A. (1987), “The impact of information structure on stock returns,” Journal of Portfolio Management, 13, No.3, 53-58.zh_TW
dc.relation.reference (參考文獻) 10. Davies R., H. Kat, S. Lu (2004), “Fund of Hedge Funds Portfolio Selection: A Multiple-Objective Approach”, Working Paper, ISMA Center, 44.zh_TW
dc.relation.reference (參考文獻) 11. Davies, R., H. Kat, S. Lu, (2006), “Fund of hedge funds portfolio selection: A multiple-objective approach”, Working paper, Social Science Research Network.zh_TW
dc.relation.reference (參考文獻) 12. Fama, E. (1963), “Mandelbrot and the stable paretian hypothesis,” Journal of Business,Vol. 36, 420-429.zh_TW
dc.relation.reference (參考文獻) 13. Fama, E. (1965a), “Portfolio analysis in a stable paretian market”, Management Science 11,404-419.zh_TW
dc.relation.reference (參考文獻) 14. Fama, E. (1965), “The behavior of stock market prices”, Journal of Business, Vol. 38, 34-105.zh_TW
dc.relation.reference (參考文獻) 15. Fang, H. and T.Y. Lai (1997) “Co-kurtosis and capital asset pricing,” The Financial Review, 32, No.2, 293-307.zh_TW
dc.relation.reference (參考文獻) 16. Haas, M. (2007), “Do Investors Dislike Kurtosis?”, Economics Bulletin Vol. 7, 1-9.zh_TW
dc.relation.reference (參考文獻) 17. Ingersoll, J. (1975), "Multidimensional Security Pricing" Journal of Financial and Quantitative Analysis 10, 785-798.zh_TW
dc.relation.reference (參考文獻) 18. Jöreskog, K.G. (1999), “Formulas for skewness and kurtosis”, Scientific Software International, http://www.ssicentral.com/lisrelzh_TW
dc.relation.reference (參考文獻) 19. Kimball, M.S. (1990), “Precautionary Saving in the Small and in the Large", Econometrica 58, 53-73.zh_TW
dc.relation.reference (參考文獻) 20. Kon, S. (1984), “Models of stock returns — A comparison”, Journal of Finance, Vol. 39, 147-165.zh_TW
dc.relation.reference (參考文獻) 21. Krans, A., R.H. Litzenberger (1976), “Skewness preference and the valuation of risk assets”, Journal of Finance 31, 1085-1100.zh_TW
dc.relation.reference (參考文獻) 22. Lai, T.Y. (1991), “Portfolio Selection with Skewness: A Multiple-Objective Approach”, Review of Quantitative Finance and Accounting, 1, 293-305.zh_TW
dc.relation.reference (參考文獻) 23. Lee, C.F., C. Wu (1985), “The impact of kurtosis on risk stationarity: Some empirical evidence?,” Financial Review, 20, 263-269.zh_TW
dc.relation.reference (參考文獻) 24. Levy, H., M. Sarnat (1972), Investment and portfolio analysis, Wiley, New Yorkzh_TW
dc.relation.reference (參考文獻) 25. Lintner, J. (1965), “The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets”, The Review of Economics and Statistics 47, 13-37.zh_TW
dc.relation.reference (參考文獻) 26. Longin, F.M. (1996), “The asymptotic distribution of extreme stock market returns”, Journal of Business, Vol. 69, 383-408.zh_TW
dc.relation.reference (參考文獻) 27. Mandelbrot, B. (1963), “The variation of certain speculative prices”, Journal of Business,Vol. 35, 394-419.zh_TW
dc.relation.reference (參考文獻) 28. Markowitz, H. (1952), “Portfolio selection”, Journal of Finance 8, 77-91.zh_TW
dc.relation.reference (參考文獻) 29. Pearson, E.S., R.B. D’Agostino, K.O. Bowman (1977), “Tests for Departure from Normality: Comparison of Powers”, Biometrika , 64 (2), 231-246.zh_TW
dc.relation.reference (參考文獻) 30. Peiro, A. (1999), ‘Skewness in financial returns’, Journal of Banking and Finance, Vol. 23, 847-862.zh_TW
dc.relation.reference (參考文獻) 31. Prakash, Arun J., C.H. Chang, Therese E. Pactwa (2003), “Selecting azh_TW
dc.relation.reference (參考文獻) portfolio with skewness: Recent evidence from US, European, and Latin American equity markets”, Journal of Banking and Finance, 27(7), 1375-1390.zh_TW
dc.relation.reference (參考文獻) 32. Pratt, J.W. (1964), “Risk aversion in the small and in the large”, Econometrica 32 (1/2), 122–136.zh_TW
dc.relation.reference (參考文獻) 33. Rubinstein, M. (1973), “The fundamental theorem of parameter preference security valuation”, Journal of Financial and Quantitative Analysis 8, 61-69.zh_TW
dc.relation.reference (參考文獻) 34. Samuelson, P. (1970), “The fundamental approximation of theorem of portfolio analysis in terms of means, variances and higher moments”, Review of Economic Studies 37, 537-542.zh_TW
dc.relation.reference (參考文獻) 35. Sears, S., K.C. John Wei. (1985), “Asset pricing, higher moments, and the market risk premium: A note,” Journal of Finance, 40, 1251-1253.zh_TW
dc.relation.reference (參考文獻) 36. Shapiro, S.S., M.B. Wilk, H.J. Chen (1968), “A Comparative Study of Various Tests of Normality”, Journal of American Statist. Assoc. , 63, 1343-1372.zh_TW
dc.relation.reference (參考文獻) 37. Sharpe, W.F. (1964), “Capital asset prices: A theory of market equilibrium under condition of risk”, Journal of Finance 19, 425-442.zh_TW
dc.relation.reference (參考文獻) 38. Simkowitz, M.A., W.L. Beedles, (1978), “Diversification in a three-moment world”, Journal of Financial and Quantitative Analysis, Vol. 13, 927-941.zh_TW
dc.relation.reference (參考文獻) 39. Singleton, J. C., J. Wingender (1986), “Skewness persistence in common stock returns”, Journal of Financial and Quantitative Analysis, Vol. 21, 335-341.zh_TW
dc.relation.reference (參考文獻) 40. Sun, Qian, Yuxing Yan (2003), “Skewness persistence with optimal portfolio selection”, Journal of Banking and Finance, 27(6), 1111-1121.zh_TW
dc.relation.reference (參考文獻) 41. Tayi, Giri K., Paul A. Leonard (1988), “Bank balance-sheet management: An alter-native multi-objective model”, Journal of Operational Research Society, 39(4), 401-410.zh_TW
dc.relation.reference (參考文獻) 42. Thorsten, T., H. Büning (2004), “Jarque_Bera Test and its Competitors for Testing Normality– A Power Comparison”, Working Paper, Institute for Statistics and Econometrics, Free University, Germany.zh_TW
dc.relation.reference (參考文獻) 43. Tobin, J. (1958), “Liquidity preference as behavior towards risk”, Review of Economic Studies 25 (6/7), 65–86.zh_TW
dc.relation.reference (參考文獻) 44. Yazici, B., S. Yolacan (2007), “A comparison of various tests of normality”, Journal of Statistical Computation and Simulation , 77 (2), 175-183.zh_TW