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題名 統計套利下動態共整合關係之跨商品應用
Application of Cross-Commodity Statistical Arbitrage Base on Dynamic Cointegration
作者 徐語辰
Hsu, Yu-Chen
貢獻者 林士貴<br>王釧茹
Lin, Shih Kuei<br>Wang, Chuan Ju
徐語辰
Hsu, Yu-Chen
關鍵詞 共整合
統計套利
布林通道
OU過程
中位數反轉定律
Cointegration
Statistic Arbitrage
Bollinger Band
OU Process
Median Reversal Law
日期 2019
上傳時間 1-Jul-2019 10:49:26 (UTC+8)
摘要 本研究根據Vidyamurthy (2004)以及後續相關文獻所提出的統計套利配對交易方法對台灣股票市場進行實證研究。本文使用的模型為Engle and Granger (1987)提出的二階段共整合檢定。我們利用上述模型檢定芝加哥交易所期貨一分鐘資料,找出具共整合性質之配對,利用技術指標-布林通道與OU過程找出價格異常的時間點進行交易,建構統計套利投資組合;本研究進一步將中位數反轉定律Andrew(2009)加入,用於預測共整合殘差走勢,建構中位數反轉定律結合布林通道與OU過程之統計套利策略並建構投資組合。實證結果顯示和Avellaneda and Lee (2010)結果相同,市場上確實存在市場中立性的報酬,且兩個策略的投資組合皆有優於大盤的績效和穩健性;此外中位數反轉定律確實有幫助我們減少進場次數提高勝率,並且使投資組合的最大虧損下降。
關鍵詞:共整合、統計套利、布林通道、OU過程、中位數反轉定律
This paper used the statistic arbitrage method according to Vidyamurthy (2004) and other papers based on this book. This paper followed papers to conduct empirical research on Chicago Mercantile Exchange market. The models used in this paper is two-steps cointegration test that proposed by Engle and Granger (1987). We tested CME futures through the above models to test cointegration, and find the investable pairs. After finding out investable pairs, we used Bollinger Band and OU process to find out abnormal stock price to trade. Then we constructed the portfolio to study its performance. This study further adds the median reversal law by Andrew(2009) to predict cointegral residual and constructs a strategy with Bollinger Band and OU process model. The result shows that the strategy helping us find market neutral return, which is the same as the result of Avellaneda and Lee (2010). Furthermore, our portfolio is also better than investing in benchmark. Median reversal law truly helps us reduce trading frequency and decrease drawdown.
Keywords:Cointegration、Statistic Arbitrage、Bollinger Band、OU Process、Median Reversal Law
參考文獻 [1] 陳旭昇,2013。時間序列分析: 總體經濟與財務金融之應用。臺灣東華。
[2] Andrew Pole.(2009).Statistical Arbitrage. John Wiley & Sons.
[3] Avellaneda, M. and J-H. Lee (2010). Statistical arbitrage in the US equities market.Quantitative Finance, Vol. 10(7), 761–782.
[4] Dickey, D. A., and Fuller, W. A. (1979). Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association, 74, 427-431.
[5] Engle, R. F., & Granger, C. W. (1987). Co-integration and error correction: representation, estimation, and testing. Econometrica: Journal of the Econometric Society, 251-276.
[6] Granger, C. W., & Newbold, P. (1974). Spurious regressions in econometrics. Journal of Econometrics, 2(2), 111-120.
[7] Said, S. E., and Dickey, D. A. (1984). Testing for unit roots in autoregressive-moving average models of unknown order. Biometrika, 71(3), 599-607.
[8] Sharpe, W. F. (1994). The sharpe ratio. Journal of portfolio management, 21(1),49-58.
[9] Vidyamurthy, G. (2004). Pairs trading: quantitative methods and analysis (Vol. 217). John Wiley & Sons.  
描述 碩士
國立政治大學
金融學系
106352036
資料來源 http://thesis.lib.nccu.edu.tw/record/#G1063520361
資料類型 thesis
dc.contributor.advisor 林士貴<br>王釧茹zh_TW
dc.contributor.advisor Lin, Shih Kuei<br>Wang, Chuan Juen_US
dc.contributor.author (Authors) 徐語辰zh_TW
dc.contributor.author (Authors) Hsu, Yu-Chenen_US
dc.creator (作者) 徐語辰zh_TW
dc.creator (作者) Hsu, Yu-Chenen_US
dc.date (日期) 2019en_US
dc.date.accessioned 1-Jul-2019 10:49:26 (UTC+8)-
dc.date.available 1-Jul-2019 10:49:26 (UTC+8)-
dc.date.issued (上傳時間) 1-Jul-2019 10:49:26 (UTC+8)-
dc.identifier (Other Identifiers) G1063520361en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/124150-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 金融學系zh_TW
dc.description (描述) 106352036zh_TW
dc.description.abstract (摘要) 本研究根據Vidyamurthy (2004)以及後續相關文獻所提出的統計套利配對交易方法對台灣股票市場進行實證研究。本文使用的模型為Engle and Granger (1987)提出的二階段共整合檢定。我們利用上述模型檢定芝加哥交易所期貨一分鐘資料,找出具共整合性質之配對,利用技術指標-布林通道與OU過程找出價格異常的時間點進行交易,建構統計套利投資組合;本研究進一步將中位數反轉定律Andrew(2009)加入,用於預測共整合殘差走勢,建構中位數反轉定律結合布林通道與OU過程之統計套利策略並建構投資組合。實證結果顯示和Avellaneda and Lee (2010)結果相同,市場上確實存在市場中立性的報酬,且兩個策略的投資組合皆有優於大盤的績效和穩健性;此外中位數反轉定律確實有幫助我們減少進場次數提高勝率,並且使投資組合的最大虧損下降。
關鍵詞:共整合、統計套利、布林通道、OU過程、中位數反轉定律
zh_TW
dc.description.abstract (摘要) This paper used the statistic arbitrage method according to Vidyamurthy (2004) and other papers based on this book. This paper followed papers to conduct empirical research on Chicago Mercantile Exchange market. The models used in this paper is two-steps cointegration test that proposed by Engle and Granger (1987). We tested CME futures through the above models to test cointegration, and find the investable pairs. After finding out investable pairs, we used Bollinger Band and OU process to find out abnormal stock price to trade. Then we constructed the portfolio to study its performance. This study further adds the median reversal law by Andrew(2009) to predict cointegral residual and constructs a strategy with Bollinger Band and OU process model. The result shows that the strategy helping us find market neutral return, which is the same as the result of Avellaneda and Lee (2010). Furthermore, our portfolio is also better than investing in benchmark. Median reversal law truly helps us reduce trading frequency and decrease drawdown.
Keywords:Cointegration、Statistic Arbitrage、Bollinger Band、OU Process、Median Reversal Law
en_US
dc.description.tableofcontents 第一章 緒論 1
第一節 研究動機 1
第二節 研究目的 2
第三節 研究架構 3
第二章 文獻探討 5
第一節 共整合統計套利 5
第二節 指數移動平均在量化模型建構上的優勢 6
第三節 中位數反轉定律 6
第三章 研究方法 7
第一節 統計套利理論 7
第二節 指數移動平均與報酬率形式 9
第三節 無截距迴歸模型 13
第四節 共整合關係與DF單根檢定 15
第五節 結構性改變與共整合動態校準 18
第六節 布林通道技術指標 21
第七節 OU過程與AR(1)模型 22
第八節 中位數反轉定律 23
第九節 統計套利策略的建構方法 24
一、 布林通道統計套利策略 24
二、 OU過程統計套利策略 26
第十節 策略績效評估指標 28
第四章 實證分析 31
第一節 實證資料與研究期間 31
第二節 布林通道策略之統計套利實證結果 37
一、 布林通道策略(假設殘差et為獨立同分配) 37
二、 布林通道策略加入中位數反轉定律 40
第三節 OU過程之統計套利實證結果 42
一、 OU過程策略(假設殘差et具有序列相依性) 42
二、 OU過程策略加入中位數反轉定律 45
第四節 黑天鵝事件驅動研究結果 47
第五章 建議與結論 53
第一節 結論 53
第二節 實務面向建議 54
第三節 研究面向建議 55
參考文獻 57
附錄一 中位數定律證明(Andrew,2009) 58
附錄二 OU過程殘差弱定態證明 60
zh_TW
dc.format.extent 2412988 bytes-
dc.format.mimetype application/pdf-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G1063520361en_US
dc.subject (關鍵詞) 共整合zh_TW
dc.subject (關鍵詞) 統計套利zh_TW
dc.subject (關鍵詞) 布林通道zh_TW
dc.subject (關鍵詞) OU過程zh_TW
dc.subject (關鍵詞) 中位數反轉定律zh_TW
dc.subject (關鍵詞) Cointegrationen_US
dc.subject (關鍵詞) Statistic Arbitrageen_US
dc.subject (關鍵詞) Bollinger Banden_US
dc.subject (關鍵詞) OU Processen_US
dc.subject (關鍵詞) Median Reversal Lawen_US
dc.title (題名) 統計套利下動態共整合關係之跨商品應用zh_TW
dc.title (題名) Application of Cross-Commodity Statistical Arbitrage Base on Dynamic Cointegrationen_US
dc.type (資料類型) thesisen_US
dc.relation.reference (參考文獻) [1] 陳旭昇,2013。時間序列分析: 總體經濟與財務金融之應用。臺灣東華。
[2] Andrew Pole.(2009).Statistical Arbitrage. John Wiley & Sons.
[3] Avellaneda, M. and J-H. Lee (2010). Statistical arbitrage in the US equities market.Quantitative Finance, Vol. 10(7), 761–782.
[4] Dickey, D. A., and Fuller, W. A. (1979). Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association, 74, 427-431.
[5] Engle, R. F., & Granger, C. W. (1987). Co-integration and error correction: representation, estimation, and testing. Econometrica: Journal of the Econometric Society, 251-276.
[6] Granger, C. W., & Newbold, P. (1974). Spurious regressions in econometrics. Journal of Econometrics, 2(2), 111-120.
[7] Said, S. E., and Dickey, D. A. (1984). Testing for unit roots in autoregressive-moving average models of unknown order. Biometrika, 71(3), 599-607.
[8] Sharpe, W. F. (1994). The sharpe ratio. Journal of portfolio management, 21(1),49-58.
[9] Vidyamurthy, G. (2004). Pairs trading: quantitative methods and analysis (Vol. 217). John Wiley & Sons.  
zh_TW
dc.identifier.doi (DOI) 10.6814/NCCU201900124en_US