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研究生:徐梓凱
研究生(外文):Zi-Kai Xu
論文名稱:利用高階矩的基金績效指標在中國大陸的應用
論文名稱(外文):Applications of Fund Performance Evaluation Indicators Using Higher Moments in China
指導教授:石百達石百達引用關係
口試委員:張景宏莊文議
口試日期:2019-01-02
學位類別:碩士
校院名稱:國立臺灣大學
系所名稱:財務金融學研究所
學門:商業及管理學門
學類:財務金融學類
論文種類:學術論文
論文出版年:2019
畢業學年度:107
語文別:中文
論文頁數:23
中文關鍵詞:基金績效評價階矩黑天鵝事件大陸市場
DOI:10.6342/NTU201900032
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自 20 世紀 90 年代以來,大陸的基金業迅速發展。根據美國投資公司協會的資料,大陸的基金總規模在 2018 年一季度已經超越了日本,位列全球第 8 位。如今,基金已經是居民投資的一個重要渠道。雖然基金的整體規模發展很快,但業界在基金評價方面卻仍以傳統的績效評價指標為主,如夏普指數。這些傳統指標在評價基金績效時,主要使用的是收益的一階矩和二階矩。這樣就導致了一個問題,那就是沒有充分考慮極端情況的影響,對基金績效的評價會有失偏頗。在黑天鵝事件頻發的現在,投資者在評估基金時更需要將收益的高階矩納入考慮當中。
本文研究了 Aumann and Serrano (2008)及 Foster and Hart (2009)提出的兩個利用收益高階矩的績效指標在大陸基金市場的應用。首先,本文通過 SMB 組合與模擬組合的對比,闡述了收益的高階矩在績效評價中的重要性。接著,本文驗證了這兩個指標在基金挑選上的能力。一方面,本文分別根據指標來將所有基金分成五檔,通過檢驗這些組合的收益在樣本外的單調性來驗證這兩個指標挑選基金的能力。結果表明,這兩個指標具有不錯的挑選基金的效果。另一方面,本文比較了根據這兩個指標和夏普指數挑選出來的基金組合的收益。結果表明,根據這兩個指標挑選出來的基金組合均優於根據夏普指數挑選出來的基金組合。最後,本文將這兩個指標加入四因子組合,驗證了其對挑選出 alpha 的幫助。
Since the 1990s, mainland Chinese fund industry has developed rapidly. According to the Investment Company Institute, the total size of mainland Chinese funds has surpassed Japan in the first quarter of 2018, ranking eighth in the world. Today, fund is already an important channel for residents to invest. Although the overall scale of the fund has developed rapidly, investors still focuses on traditional performance evaluation indicators such as the Sharp Index. Traditional indicators mainly use the first moment and the second moment. This has led to the problem that the impact of extreme conditions is not fully considered and the evaluation of fund performance will be biased. Nowadays, the black swan incident is frequent and investors need to take into account the higher distribution moments of return when evaluating funds.
This paper examines the application of two performance indicators using the higher distribution moments of return proposed by Aumann and Serrano (2008) and Foster and Hart (2009) in the mainland China. First of all, this paper illustrates the importance of higher distribution moments in performance evaluation through the comparison of SMB portfolio and simulation portfolio. Next, the paper verifies the ability of these two indicators to select funds. On the one hand, this paper divides all funds into five groups according to the indicators, and verifies the ability of these two indicators to select funds by testing the monotony of the return of these portfolios out of sample. The results show that these two indicators have a good ability of selecting funds. On the other hand, this paper compares the returns of the fund portfolios selected based on these two indicators and the Sharp Index. The results show that the fund portfolios selected based on these two indicators is superior to the fund portfolio selected according to the Sharp Index. Finally, this paper adds these two indicators to the four-factor model to verify its help in capturing alpha.
誌謝………………………………………………………………………………….......i
中文摘要………………………………………………………………………………..ii
Abstract………………………………………………..………………………………..iii
第一章 緒論………………………………………………………………..………….1
第二章 文獻探討………………………………………………………………….…..4
第一節 國外相關文獻探討……………………………………………………...4
第二節 大陸相關文獻探討……………………………………………………...5
第三章 研究方法……………………………………………………………………...7
第一節 樣本及資料……………………………………………………………...7
第二節 績效指標計算…………………………………………………………...7
第四章 實證結果…………………………………………………………………….11
第一節 敘述統計量…………………………………………………………….11
第二節 高階矩的影響………………………………………………………….13
第三節 基於AS和FH的基金挑選…………………………………………...14
第四節 是否能夠更好地挑選出alpha………………………………………....18
第五章 結論……...…………………………………………………………………..21
參考文獻……………………………………………………………………………….22
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