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題名 成長基金的最佳化模型
Optimization Models for the Growth Portfolio
作者 王靜亮
Wang,Ching Liang
貢獻者 劉明郎
Liu,Ming Long
王靜亮
Wang,Ching Liang
關鍵詞 目標規劃
大中取小原則
goal programming
mini-max principle
日期 2006
上傳時間 17-Sep-2009 13:47:15 (UTC+8)
摘要 本論文提出數個線性規劃模型建立成長基金的投資組合。目標函數皆以目標規劃方式呈現。第一個模型採用追蹤與成長差距最小的原則。第二個模型改採用大中取小原則。第三個模型則考慮時間因素對於投資組合的影響,修正第一個模型加入時間參數。最後以台灣上市股票市場作為實證分析對象,探討三組模型之表現。
This thesis presents three linear programming models for selection of the growth portfolio based on historical data. The objective functions of these models are described by goal programming. The first model employs the principle of minimizing the deviation of the value-increasing index. The second model employs the mini-max principle. The third model is derived from the first model and includes the timing effect of historical data during construction of portfolio. The computational results and performance are illustrated by modeling with realistic data from the Taiwan stock market.
參考文獻 Brooke, A., D. Kendrick, and A. Meeraus, GAMS-A User’s Guide, The Scientific Press, Redwood City, CA (1988).
IBM, Optimization Subroutine Library Guide and Reference Relese 2, Kingston, NY, Third Edition, (1991).
Konno, H. and H. Yamazaki, Mean absolute deviation portfolio optimization model and its applications to Tokyo stock market, Management Science 37, 519-531 (1991).
Markowitz, H., Portfolio selection, Journal of Finance 7, 77-91 (1952).
Meade, N. and G. R. Salkin, Index funds-Construction and performance measurement, Journal of the operational research society 40, 871-879 (1989).
Sang M. Lee and Delton L. Chesser, Goal programming for portfolio selection, The journal of portfolio management Spring, 22-26 (1980).
Sharpe, W. F., A linear programming algorithm for mutual fund portfolio selection, Management Science 13, 499-510 (1967).
Sharpe, W. F., A linear programming approximation for the general portfolio analysis problem, Journal of financial and quantitative analysis December, 1263-1275 (1971).
Speranza, M. G., Linear programming model for portfolio optimization, Finance 14, 107-123 (1993).
Speranza, M. G., A heuristic algorithm for a portfolio optimization model applied to the Milan stock market, Computers and Operations research 23, 433-441 (1996).
Young, M. R., A minimax portfolio selection rule with linear programming solution, Management Science 44, 673-683(1998).
Xia, Y., B. Liu, S. Wang, and K.K. Lai, A model for portfolio selection with order of expected returns, Computers and Operations research 27, 409-422 (2000).
呂建鴻,考量下層風險的最佳投資組合,國立政治大學應用數學研究所碩士論文(民91)。
羅際夫,買共同基金學習地圖,早安財經文化有限公司(民91)。
描述 碩士
國立政治大學
應用數學研究所
93751013
95
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0093751013
資料類型 thesis
dc.contributor.advisor 劉明郎zh_TW
dc.contributor.advisor Liu,Ming Longen_US
dc.contributor.author (Authors) 王靜亮zh_TW
dc.contributor.author (Authors) Wang,Ching Liangen_US
dc.creator (作者) 王靜亮zh_TW
dc.creator (作者) Wang,Ching Liangen_US
dc.date (日期) 2006en_US
dc.date.accessioned 17-Sep-2009 13:47:15 (UTC+8)-
dc.date.available 17-Sep-2009 13:47:15 (UTC+8)-
dc.date.issued (上傳時間) 17-Sep-2009 13:47:15 (UTC+8)-
dc.identifier (Other Identifiers) G0093751013en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/32579-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 應用數學研究所zh_TW
dc.description (描述) 93751013zh_TW
dc.description (描述) 95zh_TW
dc.description.abstract (摘要) 本論文提出數個線性規劃模型建立成長基金的投資組合。目標函數皆以目標規劃方式呈現。第一個模型採用追蹤與成長差距最小的原則。第二個模型改採用大中取小原則。第三個模型則考慮時間因素對於投資組合的影響,修正第一個模型加入時間參數。最後以台灣上市股票市場作為實證分析對象,探討三組模型之表現。zh_TW
dc.description.abstract (摘要) This thesis presents three linear programming models for selection of the growth portfolio based on historical data. The objective functions of these models are described by goal programming. The first model employs the principle of minimizing the deviation of the value-increasing index. The second model employs the mini-max principle. The third model is derived from the first model and includes the timing effect of historical data during construction of portfolio. The computational results and performance are illustrated by modeling with realistic data from the Taiwan stock market.en_US
dc.description.tableofcontents 摘要 iii
表目次 vi
圖目次 vii
第一章 緒論..........................................1
1.1 研究動機..................................1
1.2 研究的目的與架構...........................3
第二章 文獻回顧.......................................4
第三章 相關模型探討....................................8
3.1 Markowitz的模型...........................8
3.2 Konno與Yamazaki的模型.....................9
3.3 Speranza的模型............................12
3.4 Young的模型...............................15
3.5 Xia等之投資組合模型........................17
第四章 成長基金的數學模型..............................20
4.1 成長基金的目標規劃模型......................20
4.2 大中取小的成長基金之數學模型.................24
4.3 考慮時間因素的成長基金模型...................26
第五章 實證研究........................................28
第六章 結論............................................40
附錄 附表............................................42
參考文獻...............................................62


表 目 次

附表一 各模型在T1期間的投資組合..................43
附表二 各模型在T2期間的投資組合..................44
附表三 各模型在T3期間的投資組合..................45
附表四 各模型在T1期間的報酬率....................46
附表五 各模型在T2期間的報酬率....................47
附表六 各模型在T3期間的報酬率....................48
附表七 調整後各模型在T1期間的投資組合.............49
附表八 調整後各模型在T2期間的投資組合.............50
附表九 調整後各模型在T3期間的投資組合.............51
附表十 調整後各模型在T1期間的報酬率...............52
附表十一 調整後各模型在T2期間的報酬率...............53
附表十二 調整後各模型在T3期間的報酬率...............54
附表十三 模型C在各時段的投資組合(θ=1.0).............55
附表十四 模型C在各時段的投資組合(θ=0.9).............56
附表十五 模型C在各時段的投資組合(θ=0.8).............57
附表十六 模型C在各時段的投資組合(θ=0.7).............58
附表十七 不同時間參數的模型C在T1期間的報酬率.........59
附表十八 不同時間參數的模型C在T2期間的報酬率.........60
附表十九 不同時間參數的模型C在T3期間的報酬率.........61




圖 目 次

圖一 各模型在時段一的市值變化比較圖..................30
圖二 各模型在時段二的市值變化比較圖..................31
圖三 各模型在時段三的市值變化比較圖..................31
圖四 調整後各模型在時段一的市值變化比較圖.............33
圖五 調整後各模型在時段二的市值變化比較圖.............35
圖六 調整後各模型在時段三的市值變化比較圖.............35
圖七 不同時間參數下模型C在時段一的市值變化比較圖.......36
圖八 不同時間參數下模型C在時段二的市值變化比較圖.......37
圖九 不同時間參數下模型C在時段三的市值變化比較圖.......37
zh_TW
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0093751013en_US
dc.subject (關鍵詞) 目標規劃zh_TW
dc.subject (關鍵詞) 大中取小原則zh_TW
dc.subject (關鍵詞) goal programmingen_US
dc.subject (關鍵詞) mini-max principleen_US
dc.title (題名) 成長基金的最佳化模型zh_TW
dc.title (題名) Optimization Models for the Growth Portfolioen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Brooke, A., D. Kendrick, and A. Meeraus, GAMS-A User’s Guide, The Scientific Press, Redwood City, CA (1988).zh_TW
dc.relation.reference (參考文獻) IBM, Optimization Subroutine Library Guide and Reference Relese 2, Kingston, NY, Third Edition, (1991).zh_TW
dc.relation.reference (參考文獻) Konno, H. and H. Yamazaki, Mean absolute deviation portfolio optimization model and its applications to Tokyo stock market, Management Science 37, 519-531 (1991).zh_TW
dc.relation.reference (參考文獻) Markowitz, H., Portfolio selection, Journal of Finance 7, 77-91 (1952).zh_TW
dc.relation.reference (參考文獻) Meade, N. and G. R. Salkin, Index funds-Construction and performance measurement, Journal of the operational research society 40, 871-879 (1989).zh_TW
dc.relation.reference (參考文獻) Sang M. Lee and Delton L. Chesser, Goal programming for portfolio selection, The journal of portfolio management Spring, 22-26 (1980).zh_TW
dc.relation.reference (參考文獻) Sharpe, W. F., A linear programming algorithm for mutual fund portfolio selection, Management Science 13, 499-510 (1967).zh_TW
dc.relation.reference (參考文獻) Sharpe, W. F., A linear programming approximation for the general portfolio analysis problem, Journal of financial and quantitative analysis December, 1263-1275 (1971).zh_TW
dc.relation.reference (參考文獻) Speranza, M. G., Linear programming model for portfolio optimization, Finance 14, 107-123 (1993).zh_TW
dc.relation.reference (參考文獻) Speranza, M. G., A heuristic algorithm for a portfolio optimization model applied to the Milan stock market, Computers and Operations research 23, 433-441 (1996).zh_TW
dc.relation.reference (參考文獻) Young, M. R., A minimax portfolio selection rule with linear programming solution, Management Science 44, 673-683(1998).zh_TW
dc.relation.reference (參考文獻) Xia, Y., B. Liu, S. Wang, and K.K. Lai, A model for portfolio selection with order of expected returns, Computers and Operations research 27, 409-422 (2000).zh_TW
dc.relation.reference (參考文獻) 呂建鴻,考量下層風險的最佳投資組合,國立政治大學應用數學研究所碩士論文(民91)。zh_TW
dc.relation.reference (參考文獻) 羅際夫,買共同基金學習地圖,早安財經文化有限公司(民91)。zh_TW