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博碩士論文 etd-0525120-155441 詳細資訊
Title page for etd-0525120-155441
論文名稱
Title
凱利公式應用於選股策略投資組合之應用
The Application of The Kelly's Formula To Build A Winning Stock-Picking Portfolio
系所名稱
Department
畢業學年期
Year, semester
語文別
Language
學位類別
Degree
頁數
Number of pages
41
研究生
Author
指導教授
Advisor
召集委員
Convenor
口試委員
Advisory Committee
口試日期
Date of Exam
2020-06-21
繳交日期
Date of Submission
2020-06-25
關鍵字
Keywords
投資組合、動能、超額盈餘評價模型、凱利公式
Momentum, EBO, Portfolio, Kelly criterion
統計
Statistics
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中文摘要
本研究之主要結果有兩點,首先本文將凱利公式實務應用於金融市場中,根據超額盈餘評價模型(EBO)、基本面選股策略結合EBO安全邊際與動能策略分別建立三個投資組合,並應用凱利公式進行資金控管,實證結果發現短期下使用凱利公式投資績效表現較原始策略差,但長期使用下確實可以提升投資組合之績效並擊敗原始策略;其次本文透過模擬結果發現如錯誤採用離散型凱利公式於金融市場中,將使投資績效表現不佳,而大部分情況下正確使用連續型凱利公式則可以提升報酬並擊敗原始策略。
Abstract
The main results of this study have two points. First, this article applies the Kelly formula practice to the financial market. Based on the Edwards-Bell-Ohlson model (EBO), the fundamental stock-picking strategy combined with the EBO safety margin and Momentum strategy, three investment portfolios were established, and Applying the Kelly formula for money management, the empirical results show that the investment performance of the Kelly formula is worse than the original strategy in the short-term, but it can indeed improve the performance of the portfolio and beat the original strategy in the long run.

Secondly, the simulation results found that wrong use of discrete Kelly formulas in financial markets will result in poor investment performance. In addition, the correct use of the continuous Kelly formula can increase returns and beat the original strategy.
目次 Table of Contents
摘要 i
Abstract ii
第一章 緒論 - 1 -
第1.1節 研究背景與動機 - 1 -
第1.2節 研究貢獻 - 1 -
第二章 文獻探討 - 2 -
第2.1節 凱利公式 - 2 -
第2.2節 超額盈餘模型(EBO) - 9 -
第三章 研究方法 - 12 -
第3.1節 資料說明 - 12 -
第3.2節 凱利公式 - 13 -
第 3.3節 超額盈餘評價模型(EBO) - 14 -
第3.4節 選股策略 - 20 -
第四章 實證結果 - 22 -
第 4.1節 蒙地卡羅模擬 - 22 -
第 4.2節 凱利公式 - 投資組合 - 25 -
伍、結論與建議 - 30 -
參考文獻 - 31 -
中文文獻 - 31 -
英文文獻 - 31 -
參考文獻 References
張婷容(2008)。凱利準則及其在賭博上的應用。國立中央大學數學研究所碩士論文,桃園縣。
謝宜真(2011)。凱利投資方法的特性及在金融資產投資上的實用性。東吳大學經濟學系碩士論文,台北市。
Byrnes, T., & Barnett, T. (2018). Generalized framework for applying the Kelly criterion to stock markets. International Journal of Theoretical and Applied Finance, 21(05), 1850033.
George, T. J., & Hwang, C. Y. (2004). The 52‐week high and momentum investing. The Journal of Finance, 59(5), 2145-2176.
Hung, J. (2010). Betting with the Kelly Criterion. Massachusetts Institute of Technology.
Jegadeesh, N., & Titman, S. (1993). Returns to buying winners and selling losers: Implications for stock market efficiency. The Journal of finance, 48(1), 65-91.
Kelly Jr, J. L. (2011). A new interpretation of information rate. In The Kelly Capital Growth Investment Criterion: Theory and Practice (pp. 25-34).
MacLean, L. C., Thorp, E. O., & Ziemba, W. T. (2010). Good and bad properties of the Kelly criterion. Risk, 20(2), 1.
Ohlson, J. A. (1995). Earnings, book values, and dividends in equity valuation. Contemporary accounting research, 11(2), 661-687.
Rotando, L. M., & Thorp, E. O. (1992). The Kelly criterion and the stock market. The American Mathematical Monthly, 99(10), 922-931.
Thorp, E. O. (1975). Portfolio choice and the Kelly criterion. In Stochastic optimization models in finance (pp. 599-619). Academic Press.
Thorp, E. O. (1997). The Kelly criterion in blackjack, sports betting and the stock market. Edward O. Thorp & Associates, Newport Beach.
Thorp, E. O. (2011). Understanding the Kelly criterion. In The Kelly capital growth investment criterion: theory and practice (pp. 509-523).
Wu, M. E., Wang, C. H., Chung, W. H., Tso, R., & Yang, I. H. (2015, December). An Empirical Comparison between Kelly Criterion and Vince's Optimal f. In 2015 IEEE International Conference on Smart City/SocialCom/SustainCom (SmartCity) (pp. 806-810). IEEE.
Ziemba, W. T. (2016). Understanding the Kelly capital growth investment strategy. Invest. Strateg. Quart, 3, 49-55.
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