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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/67309
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/67309


    Title: 含有貝他值限制式之投資組合最佳化選擇模型
    Portfolio Selection Models with the Beta Value Constraint
    Authors: 林佳緯
    Lin, Jia Wei
    Contributors: 劉明郎
    林佳緯
    Lin, Jia Wei
    Keywords: beta值
    指數追蹤
    下方追蹤風險
    指數基金
    beta value
    index tracking
    down-side tracking error
    index fund
    Date: 2013
    Issue Date: 2014-07-07 11:09:27 (UTC+8)
    Abstract: 投資者面對龐大的股票市場,希望選取少量的股票使如指數基金般達到追蹤市場的效果,傳統的作法是使用指數追蹤的技術,建立一組投資組合使得報酬率與市場報酬率的績效相同。本論文除了最小化指數追蹤的下方追蹤誤差,還加入beta值的限制式,利用不同的beta值建立一組與市場成長趨勢相當或可能超越市場績效的投資組合。論文中使用提出之模型針對不同範圍的beta值進行研究,分析比較標的指數與建立的投資組合之績效表現。最後以台灣股票市場作為實證研究對象,實證結果顯示本論文模型所建立之投資組合在三個月內與標的指數表現相當,並在三個月後超越標的指數。

    關鍵字:beta值、指數追蹤、下方追蹤風險、指數基金
    摘 要 I
    Abstract II
    目錄 III
    圖目錄 IV
    表目錄 V
    附表目錄 VI
    第一章 緒論 1
    1.1 前言 1
    1.2 研究目的與架構 3
    第二章 文獻回顧 4
    2.1 資產配置之文獻回顧 5
    2.2 追蹤目標投資組合之文獻回顧 9
    第三章 數學模型探討 11
    3.1. MV 模型 11
    3.2. MAD 模型 12
    3.3. 大中取小模型 21
    第四章 建立投資組合數學模型 23
    4.1 建立投資組合的數學模型 23
    第五章 實證研究 27
    5.1 檢驗 值限制式的影響 28
    5.2 檢驗市場在特殊時段的投資組合 35
    第六章 結論 40
    參考文獻 42
    附錄 附表 44
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    白惠琦,指數基金追蹤模型的最佳化,國立政治大學應用數學系碩士論文,民91。

    朱志達,超越指數績效的投資組合最佳化模型,國立政治大學應用數學系碩士論文,民99。

    莊智祥,使用目標規劃建立指數基金,國立政治大學應用數學系碩士論文,民87。

    楊芯純,大中取小法建立最佳投資組合,國立政治大學應用數學系碩士論文,民91。

    謝承哲,追蹤穩定成長目標線的投資組合最佳化模型,國立政治大學應用數學系碩士論文,民99。

    蘇代利,調整指數基金的最小成本模型,國立政治大學應用數學系碩士論文,民91。
    Description: 碩士
    國立政治大學
    應用數學研究所
    98751006
    102
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0098751006
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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