Publications-Theses

題名 選擇權交易策略的整數線性規劃模型
Option Trading Strategies with Integer Linear Programming
作者 楊靜宜
貢獻者 劉明郎
楊靜宜
關鍵詞 選擇權交易策略
整數線性規劃
選擇權套利機會
options trading strategies
integer linear programming
options arbitrage opportunities
日期 2003
上傳時間 17-Sep-2009 13:49:38 (UTC+8)
摘要 投資者面對到期日相同的一序列不同履約價格的選擇權時,應如何建立最佳的組合交易策略,這個問題雖已有許多標準的交易公式可依循,但這些標準的交易策略無法全面涵蓋複雜多變的組合策略。本論文提出整數線性規劃模型用來建立選擇權的最佳交易策略。模型針對到期日相同的買權、賣權如何買賣的組合,建立最佳交易策略。若我們預期在到期日時,標的股價將會落在某一範圍內,則我們可修改原來的規劃模型配合此項預期,以尋求最佳的交易策略。最後,我們以Ericsson的選擇權為例,驗証本模型的效能。
The problem of how to construct the optimal combination trading strategy for investors when they face a series of options of different exercise prices on the same maturity date can be solved by many standard trading rules. Yet these standard trading rules cannot completely cover the complex and highly changeable combination strategy. This thesis proposes an integer linear programming (ILP) model to construct the optimal trading strategy for option portfolio selection. This model focuses on constructing the optimal strategy for an option portfolio of call- and put-options on the same maturity date. Given the investor`s belief of the stock price, we also provide an extended ILP model to include this belief. Finally, an empirical study will be presented by using the ILP model applied to the Ericsson`s call and put options.
參考文獻 Bachelier, L. (1900), Theorie de la speculation, Annales Sciences de L`Ecole Normale Superieure 17, 21-86.
Barone-Adesi, G. and R. Whaley (1987), Efficient Analytic Approximation of American Option Values, Journal of Finance 42(2), June, 301-320.
Ben Ghalia, M. and P. P. Wang (2000), Intelligent System to Support Judgmental Business Forecasting: the Case of Estimating Hotel Room Demand, IEEE Transactions on Fuzzy Systems 8(4), August, 380-397.
Black, F. and M. Scholes (1973), The Pricing of Options and Corporate Liabilities, Journal of Political Economy 81(3), 637-659.
Boness, A. James (1964), Elements of a Theory of Stock-option Value, Journal of Political Economy, 72, 163-175.
Dert, D. and B. Oldenkamp (2000), Optimal Guaranteed Return Portfolios and the Casino Effect, Operations Research 48(5), 768-775.
Draper, J. and K.W. Fung (2002), A Study of Arbitrage Efficiency between the FTSE-100 Index Futures and Options Contracts, Journal of Future Market 22, 31-58.
Geske, R. (1979), A Note on an Analytic Valuation Formula for Unprotected American Call Options on Stocks with Known Dividends, Journal of Financial Economics 7, 375-380.
Hurry, D., A. T. Miller, and E. H. Bowman (1992), Calls on High Technology: Japanese Exploration of Venture Capital Investment in the United States, Strategic Management Journal 13, 85-101.
Ingersoll, J. and S. Ross (1992), Waiting to Invest: Investment and Uncertainty, Journal of Business 65(1), 1-29.
Lee, J. H. and N. Nayar (1993), A Transactions Data Analysis of Arbitrage Between Index Options and Index Futures, Journal of Futures Markets 13, 889-902.
MacMillan, L. W. (1986), Analytic Approximation for the American Put Option, Advances in Futures and Options Research 1, 119-139.
Majd, S. and R. Pindyck (1987), Time to Build Option Value and Investment Decision, Journal of Financial Economics 18(1), 7-27.
McDonald, R. and D. Siegel (1985), Investment and the Valuation of Firms when There is an Option to Shut Down, International Economic Review 26(2), 331-349.
Merton, R. C. (1973), Theory of Rational Option Pricing, Bell Journal of Economics and Management Science 4, Spring, 141-183.
Merton, R. C., M. S. Scholes, and M. L. Gladstein (1978), The Returns and Risk of Alternative Call Option Portfolio Strategies, Journal of Business 51, 183-241.
Myers, S. C. (1977), Determinants of Corporate Borrowing, Journal of Financial Economics 5(2), November, 147-175.
Myers, S. C. and S. Majd (1990), Abandonment Value and Project Life, Advances in Futures and Options Research 4, 1-21.
Paddock, J., D. Siegel, and J. Smith (1988), Option Valuation of Claims on Physical Assets: The Case of Offshore Petroleum Leases, Quarterly Journal of Economics 103(3), 479-508.
Papahristodoulou, C. (2004), Option Strategies with Linear Programming, European Journal of Operational Research 157, 246-256.
Quigg, L. (1993), Empirical Testing of Real Option-Pricing Model, The Journal of Finance XLVIII (June), 621-639.
Rendleman, R. J. (1995), An LP Approach to Option Portfolio Selection, Advances in Futures and Options Research 8, 31-52.
Roll, R. (1977), An Analytical Formula for Unprotected American Call Options on Stocks with Known Dividends, Journal of Financial Economics 5, 251-258.
Samuelson, P. A. (1965), Rational Theory of Warrant Pricing, Industrial Management Review 6, Spring, 13-31
Sprenkle, Case M. (1964), Warrant Prices as Indicators of Expectations and Preferences, In The Random Character of Stock Market Prices, ed. Paul H. Cootner, Cambridge, MIT Press, 412-474.
Teisberg, E. O. (1994), An Option Valuation Analysis of Investment Choices by a Regulated Firm, Management Science 40(4), 535-548.
Trigeorgis, L. and S. P. Mason (1987), Valuing Managerial Flexibility, Midland Corporate Finance Journal 5(1), 14-21.
Whaley, R. (1981), On the Valuation of American Call Options on Stocks with Known Dividends, Journal of Financial Economics 9, 207-212.
林問一、楊和利、蔡佩珊(2003),台灣指數期貨與指數選擇權之套利效率性,現代財務論壇學術研討會。
林筠(1994),期貨與選擇權避險效果評估指標,台大管理論叢 第五卷第一期,79-98。
陳威光(2001),選擇權:理論•實務與應用,智勝文化。
陳嘉添(2002),買權賣權評價理論之套利研究:台指選擇權對台指期貨與交易所買賣基金對台指選擇權,台灣大學財務金融學研究所碩士論文。
鄭凱明(1998),波動度選擇權套利分析與策略:應用於香港衍生性金融市場, 政治大學金融研究所碩士論文。
描述 碩士
國立政治大學
應用數學研究所
90751006
92
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0907510061
資料類型 thesis
dc.contributor.advisor 劉明郎zh_TW
dc.contributor.author (Authors) 楊靜宜zh_TW
dc.creator (作者) 楊靜宜zh_TW
dc.date (日期) 2003en_US
dc.date.accessioned 17-Sep-2009 13:49:38 (UTC+8)-
dc.date.available 17-Sep-2009 13:49:38 (UTC+8)-
dc.date.issued (上傳時間) 17-Sep-2009 13:49:38 (UTC+8)-
dc.identifier (Other Identifiers) G0907510061en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/32601-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 應用數學研究所zh_TW
dc.description (描述) 90751006zh_TW
dc.description (描述) 92zh_TW
dc.description.abstract (摘要) 投資者面對到期日相同的一序列不同履約價格的選擇權時,應如何建立最佳的組合交易策略,這個問題雖已有許多標準的交易公式可依循,但這些標準的交易策略無法全面涵蓋複雜多變的組合策略。本論文提出整數線性規劃模型用來建立選擇權的最佳交易策略。模型針對到期日相同的買權、賣權如何買賣的組合,建立最佳交易策略。若我們預期在到期日時,標的股價將會落在某一範圍內,則我們可修改原來的規劃模型配合此項預期,以尋求最佳的交易策略。最後,我們以Ericsson的選擇權為例,驗証本模型的效能。zh_TW
dc.description.abstract (摘要) The problem of how to construct the optimal combination trading strategy for investors when they face a series of options of different exercise prices on the same maturity date can be solved by many standard trading rules. Yet these standard trading rules cannot completely cover the complex and highly changeable combination strategy. This thesis proposes an integer linear programming (ILP) model to construct the optimal trading strategy for option portfolio selection. This model focuses on constructing the optimal strategy for an option portfolio of call- and put-options on the same maturity date. Given the investor`s belief of the stock price, we also provide an extended ILP model to include this belief. Finally, an empirical study will be presented by using the ILP model applied to the Ericsson`s call and put options.en_US
dc.description.tableofcontents 摘要 iv
ABSTRACT v
表目錄 vii
圖目錄 viii
第一章 緒論 1
1.1 前言 1
1.2 研究的目的與架構 3
第二章 文獻回顧 4
2.1 選擇權評價公式 4
2.2 選擇權的避險功能 6
2.3 選擇權的套利 7
2.4 選擇權的應用 8
第三章 選擇權交易策略規劃模型 10
3.1 選擇權的到期價值 10
3.2 選擇權的交易策略 13
3.2.1組合式交易策略 13
3.2.2套利策略 16
3.3 交易策略的規劃模型 18
第四章 模型的延伸 24
4.1 期日標的股價大於下限A 24
4.2 期日標的股價小於上限B 25
4.3 期日標的股價落在A與B之間 25
4.4到期日標的股價落在A與B之外 26
第五章 實證研究 28
第六章 結論與建議 34
參考文獻 35
zh_TW
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0907510061en_US
dc.subject (關鍵詞) 選擇權交易策略zh_TW
dc.subject (關鍵詞) 整數線性規劃zh_TW
dc.subject (關鍵詞) 選擇權套利機會zh_TW
dc.subject (關鍵詞) options trading strategiesen_US
dc.subject (關鍵詞) integer linear programmingen_US
dc.subject (關鍵詞) options arbitrage opportunitiesen_US
dc.title (題名) 選擇權交易策略的整數線性規劃模型zh_TW
dc.title (題名) Option Trading Strategies with Integer Linear Programmingen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Bachelier, L. (1900), Theorie de la speculation, Annales Sciences de L`Ecole Normale Superieure 17, 21-86.zh_TW
dc.relation.reference (參考文獻) Barone-Adesi, G. and R. Whaley (1987), Efficient Analytic Approximation of American Option Values, Journal of Finance 42(2), June, 301-320.zh_TW
dc.relation.reference (參考文獻) Ben Ghalia, M. and P. P. Wang (2000), Intelligent System to Support Judgmental Business Forecasting: the Case of Estimating Hotel Room Demand, IEEE Transactions on Fuzzy Systems 8(4), August, 380-397.zh_TW
dc.relation.reference (參考文獻) Black, F. and M. Scholes (1973), The Pricing of Options and Corporate Liabilities, Journal of Political Economy 81(3), 637-659.zh_TW
dc.relation.reference (參考文獻) Boness, A. James (1964), Elements of a Theory of Stock-option Value, Journal of Political Economy, 72, 163-175.zh_TW
dc.relation.reference (參考文獻) Dert, D. and B. Oldenkamp (2000), Optimal Guaranteed Return Portfolios and the Casino Effect, Operations Research 48(5), 768-775.zh_TW
dc.relation.reference (參考文獻) Draper, J. and K.W. Fung (2002), A Study of Arbitrage Efficiency between the FTSE-100 Index Futures and Options Contracts, Journal of Future Market 22, 31-58.zh_TW
dc.relation.reference (參考文獻) Geske, R. (1979), A Note on an Analytic Valuation Formula for Unprotected American Call Options on Stocks with Known Dividends, Journal of Financial Economics 7, 375-380.zh_TW
dc.relation.reference (參考文獻) Hurry, D., A. T. Miller, and E. H. Bowman (1992), Calls on High Technology: Japanese Exploration of Venture Capital Investment in the United States, Strategic Management Journal 13, 85-101.zh_TW
dc.relation.reference (參考文獻) Ingersoll, J. and S. Ross (1992), Waiting to Invest: Investment and Uncertainty, Journal of Business 65(1), 1-29.zh_TW
dc.relation.reference (參考文獻) Lee, J. H. and N. Nayar (1993), A Transactions Data Analysis of Arbitrage Between Index Options and Index Futures, Journal of Futures Markets 13, 889-902.zh_TW
dc.relation.reference (參考文獻) MacMillan, L. W. (1986), Analytic Approximation for the American Put Option, Advances in Futures and Options Research 1, 119-139.zh_TW
dc.relation.reference (參考文獻) Majd, S. and R. Pindyck (1987), Time to Build Option Value and Investment Decision, Journal of Financial Economics 18(1), 7-27.zh_TW
dc.relation.reference (參考文獻) McDonald, R. and D. Siegel (1985), Investment and the Valuation of Firms when There is an Option to Shut Down, International Economic Review 26(2), 331-349.zh_TW
dc.relation.reference (參考文獻) Merton, R. C. (1973), Theory of Rational Option Pricing, Bell Journal of Economics and Management Science 4, Spring, 141-183.zh_TW
dc.relation.reference (參考文獻) Merton, R. C., M. S. Scholes, and M. L. Gladstein (1978), The Returns and Risk of Alternative Call Option Portfolio Strategies, Journal of Business 51, 183-241.zh_TW
dc.relation.reference (參考文獻) Myers, S. C. (1977), Determinants of Corporate Borrowing, Journal of Financial Economics 5(2), November, 147-175.zh_TW
dc.relation.reference (參考文獻) Myers, S. C. and S. Majd (1990), Abandonment Value and Project Life, Advances in Futures and Options Research 4, 1-21.zh_TW
dc.relation.reference (參考文獻) Paddock, J., D. Siegel, and J. Smith (1988), Option Valuation of Claims on Physical Assets: The Case of Offshore Petroleum Leases, Quarterly Journal of Economics 103(3), 479-508.zh_TW
dc.relation.reference (參考文獻) Papahristodoulou, C. (2004), Option Strategies with Linear Programming, European Journal of Operational Research 157, 246-256.zh_TW
dc.relation.reference (參考文獻) Quigg, L. (1993), Empirical Testing of Real Option-Pricing Model, The Journal of Finance XLVIII (June), 621-639.zh_TW
dc.relation.reference (參考文獻) Rendleman, R. J. (1995), An LP Approach to Option Portfolio Selection, Advances in Futures and Options Research 8, 31-52.zh_TW
dc.relation.reference (參考文獻) Roll, R. (1977), An Analytical Formula for Unprotected American Call Options on Stocks with Known Dividends, Journal of Financial Economics 5, 251-258.zh_TW
dc.relation.reference (參考文獻) Samuelson, P. A. (1965), Rational Theory of Warrant Pricing, Industrial Management Review 6, Spring, 13-31zh_TW
dc.relation.reference (參考文獻) Sprenkle, Case M. (1964), Warrant Prices as Indicators of Expectations and Preferences, In The Random Character of Stock Market Prices, ed. Paul H. Cootner, Cambridge, MIT Press, 412-474.zh_TW
dc.relation.reference (參考文獻) Teisberg, E. O. (1994), An Option Valuation Analysis of Investment Choices by a Regulated Firm, Management Science 40(4), 535-548.zh_TW
dc.relation.reference (參考文獻) Trigeorgis, L. and S. P. Mason (1987), Valuing Managerial Flexibility, Midland Corporate Finance Journal 5(1), 14-21.zh_TW
dc.relation.reference (參考文獻) Whaley, R. (1981), On the Valuation of American Call Options on Stocks with Known Dividends, Journal of Financial Economics 9, 207-212.zh_TW
dc.relation.reference (參考文獻) 林問一、楊和利、蔡佩珊(2003),台灣指數期貨與指數選擇權之套利效率性,現代財務論壇學術研討會。zh_TW
dc.relation.reference (參考文獻) 林筠(1994),期貨與選擇權避險效果評估指標,台大管理論叢 第五卷第一期,79-98。zh_TW
dc.relation.reference (參考文獻) 陳威光(2001),選擇權:理論•實務與應用,智勝文化。zh_TW
dc.relation.reference (參考文獻) 陳嘉添(2002),買權賣權評價理論之套利研究:台指選擇權對台指期貨與交易所買賣基金對台指選擇權,台灣大學財務金融學研究所碩士論文。zh_TW
dc.relation.reference (參考文獻) 鄭凱明(1998),波動度選擇權套利分析與策略:應用於香港衍生性金融市場, 政治大學金融研究所碩士論文。zh_TW