Publications-Theses

題名 跳躍擴散模型下之美式選擇權評價分析-隨機樹狀模型之應用
作者 陳雅婷
貢獻者 胡聯國
陳雅婷
關鍵詞 美式選擇權
跳躍擴散模型
隨機樹狀模型
日期 2005
上傳時間 18-Sep-2009 14:10:22 (UTC+8)
摘要 Black and Scholes評價模型假設標的資產價格變動行為為服從常態分配的一連續擴散過程(Continuous Diffusion Process)。然而,許多實證研究結果指出相較於常態分配,市場上資產報酬形態多具有厚尾(Fatter Tails)、偏態、高峰態與價格不連續之現象。Merton(1976)提出跳躍擴散模型,在標的資產價格行為服從跳躍擴散程序的假設下,求算選擇權理論價格,有效地解釋市場資產報酬分配型態呈現偏態、高峰態及價格不連續等現象。本文在標的資產價格行為服從Merton(1976)跳躍擴散程序(Jump-Diffusion Process)的假設下,利用Broadie and Glasserman(1997a)所提出之隨機樹狀模型(Random Tree Model)來評價具有提前履約性質的美式選擇權,利用一信賴區間來解決一般美式選擇權模擬估計所產生之偏誤問題。
參考文獻 Amin, Kaushik I., 1993," Jump Diffusion Option Valuation in
Discrete Time", Journal of Finance, Vol.48, No.5, pp.1833- 1863.
Broadie, M., and P. Glasserman, 1997, "Pricing American-
Style Securities Using Simulation," Journal of Economic
Dynamics and Control, 21, 8-9, 1323-1352.
Cox,J.C. and S. Ross. "The Pricing of Options for Jump
Processes." Working Paper No. 2-75. University of
Pennsylvania, Rodney L. White Center for Financial
Research April 1975.
Cox,J.C. and S. Ross,1976, "The Valuation of Options for
Alternative Stochastic Processes." Jorunal of Financial
Economics,vol.3, pp.145-166,Jan-March.
Grant, D., G. Vora, and D. Weeks, 1996, "Simulation and the
Early-Exercise Option Problem," Journal of Financial
Engineering, 5, 3, 211-227.
Kremer, J. W. and R. L. Roenfeldt,1992, "Warrant Pricing:
Jump-Diffusion vs. Black-Scholes." Journal of Financial
and Quantitative Analysis,vol.28,pp.255-272, June.
Merton, R. C, 1971, "Optimum Consumption and Portfolio
Rules in a Continuous-Time Model." Journal of Economic
Theory,vol.3, pp.373-413.
Merton,R.C,1976, "Option Pricing When the Underlying Stock
Rturns Are Discontinuous." Journal of Financial
Economics, vol.3,pp.125-144,Jan.-March.
描述 碩士
國立政治大學
國際經營與貿易研究所
93351013
94
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0093351013
資料類型 thesis
dc.contributor.advisor 胡聯國zh_TW
dc.contributor.author (Authors) 陳雅婷zh_TW
dc.creator (作者) 陳雅婷zh_TW
dc.date (日期) 2005en_US
dc.date.accessioned 18-Sep-2009 14:10:22 (UTC+8)-
dc.date.available 18-Sep-2009 14:10:22 (UTC+8)-
dc.date.issued (上傳時間) 18-Sep-2009 14:10:22 (UTC+8)-
dc.identifier (Other Identifiers) G0093351013en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/35103-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 國際經營與貿易研究所zh_TW
dc.description (描述) 93351013zh_TW
dc.description (描述) 94zh_TW
dc.description.abstract (摘要) Black and Scholes評價模型假設標的資產價格變動行為為服從常態分配的一連續擴散過程(Continuous Diffusion Process)。然而,許多實證研究結果指出相較於常態分配,市場上資產報酬形態多具有厚尾(Fatter Tails)、偏態、高峰態與價格不連續之現象。Merton(1976)提出跳躍擴散模型,在標的資產價格行為服從跳躍擴散程序的假設下,求算選擇權理論價格,有效地解釋市場資產報酬分配型態呈現偏態、高峰態及價格不連續等現象。本文在標的資產價格行為服從Merton(1976)跳躍擴散程序(Jump-Diffusion Process)的假設下,利用Broadie and Glasserman(1997a)所提出之隨機樹狀模型(Random Tree Model)來評價具有提前履約性質的美式選擇權,利用一信賴區間來解決一般美式選擇權模擬估計所產生之偏誤問題。zh_TW
dc.description.tableofcontents 誌謝………………………………………………………………i
中文摘要…………………………………………………………ii
英文摘要…………………………………………………………iii
目錄………………………………………………………………iv
表目錄……………………………………………………………v
圖目錄……………………………………………………………v
第一章 緒論…………………………………………………1
第一節 研究動機……………………………………………1
第二節 研究目的…………………………………………3
第三節 研究架構…………………………………………………3
第二章 相關文獻探討……………………………………………4
第一節 選擇權之介紹……………………………………………4
第二節 跳躍擴散模型(Jump-Diffusion Model)…………………7
第三節 蒙地卡羅模擬法於選擇權之應用………………………………10
第四節 隨機樹狀模型(Random Tree Model)……………………13
第三章 研究方法…………………………………………………………21
第一節 模型推導與建構……………………………………………………21
第二節 信賴區間之建立與點估計值之求算………………………………22
第三節 深度優先搜尋演算法………………………………………………23
第四章 數值模擬結果……………………………………………………………27
第一節 未考慮跳躍風險下之隨機樹狀模擬結果…………………………27
第二節 考慮跳躍風險下之隨機樹狀模擬結果……………………………34
第五章 結論與建議………………………………………………………………44
參考文獻……………………………………………………………………………46
附錄…………………………………………………………………………………47
zh_TW
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0093351013en_US
dc.subject (關鍵詞) 美式選擇權zh_TW
dc.subject (關鍵詞) 跳躍擴散模型zh_TW
dc.subject (關鍵詞) 隨機樹狀模型zh_TW
dc.title (題名) 跳躍擴散模型下之美式選擇權評價分析-隨機樹狀模型之應用zh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Amin, Kaushik I., 1993," Jump Diffusion Option Valuation inzh_TW
dc.relation.reference (參考文獻) Discrete Time", Journal of Finance, Vol.48, No.5, pp.1833- 1863.zh_TW
dc.relation.reference (參考文獻) Broadie, M., and P. Glasserman, 1997, "Pricing American-zh_TW
dc.relation.reference (參考文獻) Style Securities Using Simulation," Journal of Economiczh_TW
dc.relation.reference (參考文獻) Dynamics and Control, 21, 8-9, 1323-1352.zh_TW
dc.relation.reference (參考文獻) Cox,J.C. and S. Ross. "The Pricing of Options for Jumpzh_TW
dc.relation.reference (參考文獻) Processes." Working Paper No. 2-75. University ofzh_TW
dc.relation.reference (參考文獻) Pennsylvania, Rodney L. White Center for Financialzh_TW
dc.relation.reference (參考文獻) Research April 1975.zh_TW
dc.relation.reference (參考文獻) Cox,J.C. and S. Ross,1976, "The Valuation of Options forzh_TW
dc.relation.reference (參考文獻) Alternative Stochastic Processes." Jorunal of Financialzh_TW
dc.relation.reference (參考文獻) Economics,vol.3, pp.145-166,Jan-March.zh_TW
dc.relation.reference (參考文獻) Grant, D., G. Vora, and D. Weeks, 1996, "Simulation and thezh_TW
dc.relation.reference (參考文獻) Early-Exercise Option Problem," Journal of Financialzh_TW
dc.relation.reference (參考文獻) Engineering, 5, 3, 211-227.zh_TW
dc.relation.reference (參考文獻) Kremer, J. W. and R. L. Roenfeldt,1992, "Warrant Pricing:zh_TW
dc.relation.reference (參考文獻) Jump-Diffusion vs. Black-Scholes." Journal of Financialzh_TW
dc.relation.reference (參考文獻) and Quantitative Analysis,vol.28,pp.255-272, June.zh_TW
dc.relation.reference (參考文獻) Merton, R. C, 1971, "Optimum Consumption and Portfoliozh_TW
dc.relation.reference (參考文獻) Rules in a Continuous-Time Model." Journal of Economiczh_TW
dc.relation.reference (參考文獻) Theory,vol.3, pp.373-413.zh_TW
dc.relation.reference (參考文獻) Merton,R.C,1976, "Option Pricing When the Underlying Stockzh_TW
dc.relation.reference (參考文獻) Rturns Are Discontinuous." Journal of Financialzh_TW
dc.relation.reference (參考文獻) Economics, vol.3,pp.125-144,Jan.-March.zh_TW