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題名 考慮交易成本的選擇權交易策略
Option Trading Strategies with Transaction Costs
作者 陳明瑩
Chen, Ming-ying
貢獻者 劉明郎
Liu, Ming-lang
陳明瑩
Chen, Ming-ying
關鍵詞 交易成本
選擇權交易策略
整數線性規劃
選擇權套利機會
transaction costs
option trading strategies
integer linear programming
option arbitrage opportunities
日期 2006
上傳時間 17-Sep-2009 13:48:40 (UTC+8)
摘要 投資者面對到期日相同的ㄧ序列不同履約價格的選擇權,已有許多文獻提出如何建立選擇權最佳投資組合,但模型中均未考慮交易成本。選擇權在實際市場的交易過程中,投資者所支付的手續費與賦稅即為選擇權的交易成本。本論文針對買賣到期日相同但不同履約價格的買權與賣權如何組合,提出考慮交易成本的整數線性規劃模型,建立選擇權最佳交易策略。我們不考慮股價變動的機率分配型態,延伸楊靜宜 (2004)所建立之整數線性規劃模型和Liu與Liu (2006)的大中取小模型,建構考慮比例制、固定制與混合制交易成本之整數線性規劃模型。最後,我們以台指選擇權(TXO)為例,驗證模型的效能。
關鍵字:交易成本,選擇權交易策略,整數線性規劃,選擇權套利機會。
There are many researchers focus on constructing the optimal strategies and propose integer linear programming (ILP) for a series of options which are on the same maturity date with different strike price, but they neglect transaction costs in their models. The transaction costs of options are the handling charge and taxes which investors should pay for trading in the market. The thesis proposes an ILP with transaction costs to construct the optimal strategy for an option portfolio of call- and put- options on the same maturity date with different strike price. We leave the distribution of the variety of stock price out of consideration and extend Yang’s (2004) model and Liu & Liu’s (2006) min-max regret model to construct ILP with proportional, fixed, and mixed transaction costs. Finally, we take the trading data of TXO as an empirical study to test and verify the efficiency of our models.
Key words: transaction costs, option trading strategies, integer linear programming, option arbitrage opportunities.
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.
Boyle, P. P. and T. Vorst (1992), "Option Replication in Discrete Time with Transaction Cost." Journal of Finance 47(1), 271-294.
Broadie, M. and J. B. Detemple (2004), "Option pricing: Valuation Model and Applications." Management Science 50(9), 1145-1177.
Brooke, A., D. Kendrick, and A. Meeraus (1988), GAMS - A User’s Guide, The Scientific Press, Redwood City, CA
Cox, J. and S. Ross and M. Rubinstein (1979), "Option Pricing: A Simplified Approach." Journal of Financial Economics 7(3), 229-263.
Dert, C. and B. Oldenkamp (2000), "Optimal Guranteed Return Portfolios and the Casino Effect." Operations Research 48, 768-775.
GAMS Development Corporation (2003), GAMS - The Solver Manual, Washington, DC.
Harrison, J. and D. Kerps (1979), "Martingales and Multiperiod Securities Markets." Journal of Ecnomic Theory 20, 381-408.
Kociński, M. (2004), "Hedging of the European Option in Discrete Time under Proportional Transaction Costs." Mathematical Methods of Operations Research 59, 315-328.
Konno, H. and H. Yamazaki (1988), "Mean-Absolute Deviation Portfolio Optimization Model and its Application to Tokyo Stock Market." Management Science 37, 519-531.
Leland, H. (1985), "Option Pricing and Replication with Transaction Costs." Journal of Finance 40(5), 1283-1301.
Liu, M. L. and S. K. Liu (2006), "Option Trading Strategies with Integer Linear Programming." Submitted to Journal of Operational Research Society.
Markowitz, H. M. (1952), "Portfolio Selection." Journal of Finance 7, 77-91.
Melnikov, A. V. and Y. G. Petrachenko (2005), "On Option Pricing in Binomial Market with Transaction Costs." Finance and Stochastics 9, 141-149.
Merton, R. C. (1973), "Theory of Rational Option Pricing." Bell Journal of Economics and Management Science 4, Spring, 141-183.
Merton, R. (1990), Continuous Time Finance. Oxford, Oxford University Press, New York.
Palmer, K. (2001), "A Note on the Boyle-Vorst Discrete Time Option Pricing Model with Transactions Costs." Mathematical Finance 11(3), 357-363.
Papahristodoulou, C. (2003), "Option Strategies with Linear Programming." European Journal of Operational Research 157, 246-256.
Pelsser, A. and T. Vorst (1995), "Optimal Optioned Portfolios with Confidence Limits on Shortfall Constraints." Advances in Quantitative Analysis of Finance and Accounting 3A, 205-220.
Rendleman, R. J. (1995), "An LP Approach to Option Portfolio Selection." Advances in Futures and Options Research 8, 31-52.
Rubinstein, M. (1994), "Implied Binomial Trees." Journal of Finance 49(3), 771-818.
Rubinstein, M. and J. Jackwerth (1996), "Recovering Probability Distributions from Option Prices." The Journal of Finance 51(5),1611-1631.
Sass, J. (2005), "Portfolio Optimization under Transaction Costs in the CRR Model." Mathematical Methods of Operations Research 61, 239-259.
Stettner, L. (2000), "Option Pricing in Discrete Time Incomplete Market Models." Mathematical Finance 10(2), 305-321.
陳松男 (2003),在間斷性避險及交易成本下的選擇權評價模型:以實務觀點修正理論,風險管理學報 第一卷第二期,43-54。
楊靜宜 (2004),選擇權交易策略的整數線性規劃模型,政治大學應用數學系碩士論文。
描述 碩士
國立政治大學
應用數學研究所
94751017
95
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0094751017
資料類型 thesis
dc.contributor.advisor 劉明郎zh_TW
dc.contributor.advisor Liu, Ming-langen_US
dc.contributor.author (Authors) 陳明瑩zh_TW
dc.contributor.author (Authors) Chen, Ming-yingen_US
dc.creator (作者) 陳明瑩zh_TW
dc.creator (作者) Chen, Ming-yingen_US
dc.date (日期) 2006en_US
dc.date.accessioned 17-Sep-2009 13:48:40 (UTC+8)-
dc.date.available 17-Sep-2009 13:48:40 (UTC+8)-
dc.date.issued (上傳時間) 17-Sep-2009 13:48:40 (UTC+8)-
dc.identifier (Other Identifiers) G0094751017en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/32592-
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) 94751017zh_TW
dc.description (描述) 95zh_TW
dc.description.abstract (摘要) 投資者面對到期日相同的ㄧ序列不同履約價格的選擇權,已有許多文獻提出如何建立選擇權最佳投資組合,但模型中均未考慮交易成本。選擇權在實際市場的交易過程中,投資者所支付的手續費與賦稅即為選擇權的交易成本。本論文針對買賣到期日相同但不同履約價格的買權與賣權如何組合,提出考慮交易成本的整數線性規劃模型,建立選擇權最佳交易策略。我們不考慮股價變動的機率分配型態,延伸楊靜宜 (2004)所建立之整數線性規劃模型和Liu與Liu (2006)的大中取小模型,建構考慮比例制、固定制與混合制交易成本之整數線性規劃模型。最後,我們以台指選擇權(TXO)為例,驗證模型的效能。
關鍵字:交易成本,選擇權交易策略,整數線性規劃,選擇權套利機會。
zh_TW
dc.description.abstract (摘要) There are many researchers focus on constructing the optimal strategies and propose integer linear programming (ILP) for a series of options which are on the same maturity date with different strike price, but they neglect transaction costs in their models. The transaction costs of options are the handling charge and taxes which investors should pay for trading in the market. The thesis proposes an ILP with transaction costs to construct the optimal strategy for an option portfolio of call- and put- options on the same maturity date with different strike price. We leave the distribution of the variety of stock price out of consideration and extend Yang’s (2004) model and Liu & Liu’s (2006) min-max regret model to construct ILP with proportional, fixed, and mixed transaction costs. Finally, we take the trading data of TXO as an empirical study to test and verify the efficiency of our models.
Key words: transaction costs, option trading strategies, integer linear programming, option arbitrage opportunities.
en_US
dc.description.tableofcontents 授權書 iii
摘要 iv
ABSTRACT v
目錄 vi
表目錄 vii
圖目錄 viii
第一章 緒論 1
1.1. 研究動機與目的 1
1.2. 文章架構 2
第二章 文獻回顧 3
2.1. 利用線性規劃求最佳投資組合 3
2.2. 選擇權的評價方法 4
2.2.1. 連續時間的選擇權評價模型 4
2.2.2. 離散時間的選擇權評價模型 5
2.2.3. 考慮交易成本的選擇權評價模型 5
2.3. 選擇權的套利規劃模型 8
第三章 選擇權交易策略 9
3.1. 套利策略與線性規劃模型 9
3.2. 大中取小模型 14
3.3. 考慮交易成本的規劃模型 17
第四章 實證研究 22
4.1. 資料來源 22
4.2. 實證結果分析 23
第五章 結論 30
參考文獻 31
zh_TW
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dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0094751017en_US
dc.subject (關鍵詞) 交易成本zh_TW
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) transaction costsen_US
dc.subject (關鍵詞) option trading strategiesen_US
dc.subject (關鍵詞) integer linear programmingen_US
dc.subject (關鍵詞) option arbitrage opportunitiesen_US
dc.title (題名) 考慮交易成本的選擇權交易策略zh_TW
dc.title (題名) Option Trading Strategies with Transaction Costsen_US
dc.type (資料類型) thesisen
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) Boyle, P. P. and T. Vorst (1992), "Option Replication in Discrete Time with Transaction Cost." Journal of Finance 47(1), 271-294.zh_TW
dc.relation.reference (參考文獻) Broadie, M. and J. B. Detemple (2004), "Option pricing: Valuation Model and Applications." Management Science 50(9), 1145-1177.zh_TW
dc.relation.reference (參考文獻) Brooke, A., D. Kendrick, and A. Meeraus (1988), GAMS - A User’s Guide, The Scientific Press, Redwood City, CAzh_TW
dc.relation.reference (參考文獻) Cox, J. and S. Ross and M. Rubinstein (1979), "Option Pricing: A Simplified Approach." Journal of Financial Economics 7(3), 229-263.zh_TW
dc.relation.reference (參考文獻) Dert, C. and B. Oldenkamp (2000), "Optimal Guranteed Return Portfolios and the Casino Effect." Operations Research 48, 768-775.zh_TW
dc.relation.reference (參考文獻) GAMS Development Corporation (2003), GAMS - The Solver Manual, Washington, DC.zh_TW
dc.relation.reference (參考文獻) Harrison, J. and D. Kerps (1979), "Martingales and Multiperiod Securities Markets." Journal of Ecnomic Theory 20, 381-408.zh_TW
dc.relation.reference (參考文獻) Kociński, M. (2004), "Hedging of the European Option in Discrete Time under Proportional Transaction Costs." Mathematical Methods of Operations Research 59, 315-328.zh_TW
dc.relation.reference (參考文獻) Konno, H. and H. Yamazaki (1988), "Mean-Absolute Deviation Portfolio Optimization Model and its Application to Tokyo Stock Market." Management Science 37, 519-531.zh_TW
dc.relation.reference (參考文獻) Leland, H. (1985), "Option Pricing and Replication with Transaction Costs." Journal of Finance 40(5), 1283-1301.zh_TW
dc.relation.reference (參考文獻) Liu, M. L. and S. K. Liu (2006), "Option Trading Strategies with Integer Linear Programming." Submitted to Journal of Operational Research Society.zh_TW
dc.relation.reference (參考文獻) Markowitz, H. M. (1952), "Portfolio Selection." Journal of Finance 7, 77-91.zh_TW
dc.relation.reference (參考文獻) Melnikov, A. V. and Y. G. Petrachenko (2005), "On Option Pricing in Binomial Market with Transaction Costs." Finance and Stochastics 9, 141-149.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. (1990), Continuous Time Finance. Oxford, Oxford University Press, New York.zh_TW
dc.relation.reference (參考文獻) Palmer, K. (2001), "A Note on the Boyle-Vorst Discrete Time Option Pricing Model with Transactions Costs." Mathematical Finance 11(3), 357-363.zh_TW
dc.relation.reference (參考文獻) Papahristodoulou, C. (2003), "Option Strategies with Linear Programming." European Journal of Operational Research 157, 246-256.zh_TW
dc.relation.reference (參考文獻) Pelsser, A. and T. Vorst (1995), "Optimal Optioned Portfolios with Confidence Limits on Shortfall Constraints." Advances in Quantitative Analysis of Finance and Accounting 3A, 205-220.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) Rubinstein, M. (1994), "Implied Binomial Trees." Journal of Finance 49(3), 771-818.zh_TW
dc.relation.reference (參考文獻) Rubinstein, M. and J. Jackwerth (1996), "Recovering Probability Distributions from Option Prices." The Journal of Finance 51(5),1611-1631.zh_TW
dc.relation.reference (參考文獻) Sass, J. (2005), "Portfolio Optimization under Transaction Costs in the CRR Model." Mathematical Methods of Operations Research 61, 239-259.zh_TW
dc.relation.reference (參考文獻) Stettner, L. (2000), "Option Pricing in Discrete Time Incomplete Market Models." Mathematical Finance 10(2), 305-321.zh_TW
dc.relation.reference (參考文獻) 陳松男 (2003),在間斷性避險及交易成本下的選擇權評價模型:以實務觀點修正理論,風險管理學報 第一卷第二期,43-54。zh_TW
dc.relation.reference (參考文獻) 楊靜宜 (2004),選擇權交易策略的整數線性規劃模型,政治大學應用數學系碩士論文。zh_TW