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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 應用數學科學研究所
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/91285
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dc.contributor.advisor崔茂培zh_TW
dc.contributor.advisorMao-Pei Tsuien
dc.contributor.author王姿云zh_TW
dc.contributor.authorZih-Yun Wangen
dc.date.accessioned2023-12-20T16:18:56Z-
dc.date.available2023-12-21-
dc.date.copyright2023-12-20-
dc.date.issued2023-
dc.date.submitted2023-09-12-
dc.identifier.citationG. Marti, F. Nielsen, M. Bińkowski, and P. Donnat, “A review of two decades of correlations, hierarchies, networks and clustering in fnancial markets,” pp. 245–274, 03 2021.
F. Ren, Y.-N. Lu, S.-P. Li, X.-F. Jiang, L.-X. Zhong, and Tian, “Dynamic portfolio strategy using clustering approach,” PLOS ONE, vol. 12, no. 1, pp. 25–31, Jul. 2017. [Online]. Available: https://doi.org/10.1371/journal.pone.0169299
P. C. K. M. Elias Mwakilama, Patrick Ali and L. Eneya, On Average Distance of Neighborhood Graphs and Its Applications. IntechOpen, 2021.
Y. Bengio, O. Delalleau, N. Roux, J.-F. Paiement, P. Vincent, and M. Ouimet, “Spectral dimensionality reduction,” CIRANO, CIRANO Working Papers, vol. 207, 01 2004.
R. Korajczyk and G. Connor, “Performance measurement with the arbitrage pricing theory: A new framework for analysis,” Journal of Financial Economics, vol. 15, pp. 373–394, 03 1986.
臺灣證券交易所與富時國際有限公司,“臺灣50指數編製說明,” 2002. [Online]. Available: https://www.taiwanindex.com.tw/files/indexfile/1477467076.pdf (Accessed on: 2022/10/25).
F. Russell and the Taiwan Stock Exchange, “Ftse twse taiwan index series,” 2022. [Online]. Available: https://research.ftserussell.com/products/downloads/FTSET WSET aiwanI ndexSeries.pdf (Accessed on: 2022/10/25).
TWSE, “Daily trading value/volume of individual securities,” 2022.[Online]. Available: https://www.twse.com.tw/en/trading/historical/stock-day.html (Accessed on: 2022/10/25).
FinMind, “Daily trading value/volume of individual stocks,” 2020. [Online]. Available: https://finmindtrade.com/ (Accessed on: 2022/10/25).
H. Markowitz, “Portfolio selection,” The Journal of Finance, vol. 7, no. 1, pp. 77–91, 1952. [Online]. Available: http://www.jstor.org/stable/2975974
A. Fernández and S. Gómez, “Portfolio selection using neural networks,” Computers Operations Research, vol. 34, no. 4, pp. 1177–1191, 2007. [Online]. Available: https://www.sciencedirect.com/science/article/pii/S0305054805002042
Y. Chen, S. Mabu, and K. Hirasawa, “A model of portfolio optimization using time adapting genetic network programming,” Computers Operations Research, vol. 37, pp. 1697–1707, 10 2010.
Y. Chen, E. Ohkawa, S. Mabu, K. Shimada, and K. Hirasawa, “A portfolio optimization model using genetic network programming with control nodes,”Expert Systems with Applications, vol. 36, pp. 10 735–10 745, 09 2009.
A. Nazemi, B. Abbasi, and F. Omidi, “Solving portfolio selection models with uncertain returns using an artifcial neural network scheme,” Applied Intelligence, 10 2014.
P.-C. Ko and P.-C. Lin, “Resource allocation neural network in portfolio selection,” Expert Systems with Applications, vol. 35, pp. 330–337, 07 2008.
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/91285-
dc.description.abstract對於初學投資的人來說,這項研究提供了一種實用的方法,來將特定產業的股票進行分類。這有助於更輕鬆地追踪台灣的新興領域,並簡化了投資流程。此外,我們還提供了在牛市和熊市中的投資策略。
我們使用股票收盤價的對數差來計算相關係數。這個方法使我們能夠識別出一個最小生成樹,用於進行分類。此外,相關係數矩陣還幫助我們提取特徵值和特徵向量,這對於進行擴散映射降維分析非常有用。這有助於優化投資者的投資策略。
這項研究中的分類方法與實際情況非常相符。所提供的股票投資策略在牛市和熊市中的表現都比隨機從每個行業中選擇股票要獲得更好的利潤。這些分類和策略方法都可以有效應用於台灣的市場環境中。
zh_TW
dc.description.abstractFor novice investors, this study provides a method to classify stocks of certain industries to track emerging industries easily in Taiwan, which makes people invest conveniently. And, we also provide a strategy to invest stocks in bull market and bear market.
We use logarithm difference of stocks’ closing prices to calculate the correlation coefficient. Hence, we can find a minimum spanning tree to classify. Moreover, the correlation coefficient constructs a matrix to find eigenvalues and eigenvectors, which can be used diffusion map to analyze them and it can adjust investors’ strategy of investment.
The classification is close to the actual situation, and the strategy of the stock method provides a better return than choosing one stock from each industry randomly in bull market or bear market. The method of classification and strategy can be used in the Taiwan market.
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dc.description.tableofcontentsAcknowledgements iii
摘要 v
Abstract vii
Contents ix
List of Figures xiii
List of Tables xv
Chapter 1 Introduction 1
Chapter 2 Literature review. 3
2.1 Preliminary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3
2.1.1 Correlation Coefficient . . . . . . . . . . . . . . . . . . . . . . .3
2.1.2 Minimum Spanning Tree . . . . . . . . . . . . . . . . . . . . . .7
2.1.3 Kruskal’s Algorithm . . . . . . . . . . . . . . . . . . . . . . . .8
2.1.4 Ultrametric Spaces . . . . . . . . . . . . . . . . . . . . . . . . .9
2.1.5 Diffusion Map . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
2.2 Taiwan Stock Market . . . . . . . . . . . . . . . . . . . . . . . . . 24
2.2.1 Exchange-traded Funds . . . . . . . . . . . . . . . . . . . . . . . 25
2.2.2 FTSE TWSE Taiwan 50 Index . . . . . . . . . . . . . . . . . . . 25
2.2.3 Constituent Selection Criteria . . . . . . . . . . . . . . . . . . . 26
2.2.4 Constituent Adjustment . . . . . . . . . . . . . . . . . . . . . . 27
2.2.5 Yuanta/P-shares Taiwan Top 50 ETF . . . . . . . . . . . . . . . 27
Chapter 3 The selection of portfolio 29
3.1 Centrality or Peripherality in Portfolio . . . . . . . . . . . . . . . 29
3.2 Central Portfolio and Peripheral Portfolio . . . . . . . . . . . . . 30
3.3 Data Collection Procedure . . . . . . . . . . . . . . . . . . . . . . 31
Chapter 4 Market Conditions 33
4.1 Identifcation of Market Conditions . . . . . . . . . . . . . . . . . 33
4.2 Market Situation Analysis . . . . . . . . . . . . . . . . . . . . . . 35
4.3 Selection Horizon and Investment Horizon . . . . . . . . . . . . . 37
4.4 Return on Investment . . . . . . . . . . . . . . . . . . . . . . . . 39
Chapter 5 Research Results 41 5.1 Investment Strategy . . . . . . . . . . . . . . . . . . . . . . . . . 41
5.2 Classifcation of Stocks on Difusion Map . . . . . . . . . . . . . . 43
Chapter 6 Conclusion 47
References 51
Appendix A — Criteria for Selecting Constituent Stocks for the Yuanta Taiwan 50 Index 55
A.0.1 Index Compilation . . . . . . . . . . . . . . . . . . . . . . . . . 55
A.0.2 Calculation Method . . . . . . . . . . . . . . . . . . . . . . . . . 55
A.1 Qualifcation Criteria and Selection Criteria of Constituent Stocks 57
A.1.1 Market Capitalization . . . . . . . . . . . . . . . . . . . . . . . 57
A.1.2 Free Float . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
A.1.3 Liquidity Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
A.2 Constituent Review and Weight Adjustment . . . . . . . . . . . . 60
A.2.1 Regular Review . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
A.2.2 Non-Regular Review . . . . . . . . . . . . . . . . . . . . . . . . 60
A.2.3 Weight Adjustment . . . . . . . . . . . . . . . . . . . . . . . . . 62
Appendix B — Central Portfolio and Peripheral Portfolio 65
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dc.language.isoen-
dc.subject投資策略zh_TW
dc.subject相關係數zh_TW
dc.subject股票標的分類zh_TW
dc.subject最小生成樹zh_TW
dc.subject擴散映射zh_TW
dc.subject股票標的分類zh_TW
dc.subject投資標的zh_TW
dc.subject投資策略zh_TW
dc.subject相關係數zh_TW
dc.subject最小生成樹zh_TW
dc.subject投資標的zh_TW
dc.subject擴散映射zh_TW
dc.subjectDiffusion Mapen
dc.subjectFinancial Classificationen
dc.subjectInvestment Objectiveen
dc.subjectInvestment Strategyen
dc.subjectCorrelation Coefficienten
dc.subjectMinimum Spanning Treeen
dc.subjectDiffusion Mapen
dc.subjectFinancial Classificationen
dc.subjectInvestment Objectiveen
dc.subjectInvestment Strategyen
dc.subjectCorrelation Coefficienten
dc.subjectMinimum Spanning Treeen
dc.title相關係數、最小生成樹、擴散映射,在投資標的分類和投資策略的應用zh_TW
dc.titleApplication of Correlation Coefficient, MST and Diffusion Map in investment objectives classification and investment strategyen
dc.typeThesis-
dc.date.schoolyear112-1-
dc.description.degree碩士-
dc.contributor.oralexamcommittee林澤佑;楊鈞澔zh_TW
dc.contributor.oralexamcommitteeTse-Yu Lin;Chun-Hao Yangen
dc.subject.keyword股票標的分類,投資標的,投資策略,相關係數,最小生成樹,擴散映射,zh_TW
dc.subject.keywordFinancial Classification,Investment Objective,Investment Strategy,Correlation Coefficient,Minimum Spanning Tree,Diffusion Map,en
dc.relation.page68-
dc.identifier.doi10.6342/NTU202304202-
dc.rights.note同意授權(限校園內公開)-
dc.date.accepted2023-09-13-
dc.contributor.author-college理學院-
dc.contributor.author-dept應用數學科學研究所-
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