Publications-Theses
Article View/Open
Publication Export
-
Google ScholarTM
NCCU Library
Citation Infomation
Related Publications in TAIR
題名 結構型商品之評價與分析-附有雙重界限選擇權之股權及匯率連動票券 作者 許展維
Hsu, Chan Wei貢獻者 陳松男
許展維
Hsu, Chan Wei關鍵詞 雙重界限
觸及失效
有限差分法
蒙地卡羅模擬
Double Barrier
Knock Out
Finite Difference Method
Monte Carlo Simulation日期 2009 上傳時間 9-May-2016 11:50:23 (UTC+8) 摘要 本文的主要內容為評價JPMorgan Chase & Co.(美國摩根大通銀行)及UBS(瑞士銀行)所發行的兩檔結構型票券,共同的特色是票券為保本型且不付息,報酬條款中附有雙重界限觸及失效選擇權,其價值對於標的資產的波動程度相當敏感。一旦標的資產價格觸及任一界限,具有額外收益的選擇權將失效,投資人僅能拿回原始投資本金,相當於損失了原本可能獲得的無風險利息。 針對雙重界限觸及失效選擇權,我們使用顯式、隱式以及Crank-Nicolson三種有限差分法來進行評價,並比較蒙地卡羅模擬和封閉解的結果,藉以了解各種方法的準確性及效率。接著我們求算避險參數Greeks,分析發行商所面臨的風險。同時根據市場未來的情況,分析投資人的預期收益,進而了解這種商品在市場上廣為流通的原因,以及此類新奇結構型商品對於風險的重分配方式,如何締造買方賣方雙贏的局面。 參考文獻 中文部分: 1.陳松男(民94):金融工程學-金融商品創新與選擇權理論,新陸書局 2.陳松男(民93):結構型金融商品之設計及創新,新陸書局 3.陳松男(民94):結構型金融商品之設計及創新(二),新陸書局 4.陳威光(民91):選擇權-理論‧實務與應用,智勝出版社 5.謝嫚琦(民93):結構型債券之評價與分析,國立政治大學金融研究所碩士論文 6.李映瑾(民94):結構型商品之評價與分析-每日計息雙區間連動及匯率連動債券,國立政治大學金融研究所碩士論文 英文部分: 1.Boyle, P.P. (1998): “An Explicit Finite Difference Approach to The Pricing of Barrier Options”, Applied Mathematical Finance, 5 (1998), pp. 17-43 2.Boyle, P.P. and Lau S.H. (1994): “Bumping Up Against The Barrier with The Binomial Method”, Journal of Derivatives, 1 (1994), pp. 6-14 3.Boyle, P.P. (1977): “Options: A Monte Carlo Approach”, Journal of Financial Economics, 4 (1977), pp. 323-338 4.Brandimarte, P. (2002): Numerical Methods in Finance: A MATLAB-Based Introduction, John Wiley & Sons, Inc. , New York 5.Broadie, M., Glasserman, P. and Kou, S. (1997): “A Continuity Correction for Discrete Barrier Options”, Mathematical Finance, 7 (1997), pp. 325-349 6.Cao, G. and MacLeod, R. (2005): “Pricing Exotic Barrier Options with Finite Differences”, SSRN Working Paper Series 7.Carr, P., Ellis, K. and Gupta, V. (1998): “Static Hedging of Exotic Options”, The Journal of Finance, 53, No.3 (Jun., 1998), pp. 1165-1190 8.Cheuk, T.H.F. and Vorst, T.C.F. (1994): “Real-Life Barrier Options”, Unpublished manuscript, Erasmus University, Rotterdam, Netherlands 9.Cox, J.C., Ross, S.A. and Rubinstein, M. (1979): “Option Pricing: A Simplified Approach”, Journal of Financial Economics, 7 (1979), pp. 229-264 10.Espen Gaardder, H. (1998): The Complete Guide to Option Pricing Formulas, McGraw-Hill, New York 11.Fries, P.C. (2007): Mathematical Finance: Theory, Modeling, Implementation, John Wiley & Sons, Inc. , New York 12.German, H. and Yor, M. (1996): ”Pricing and Hedging Double Barrier Options: A Probabilistic Approach”, Mathematical Finance, 6 (1996), pp.365-378 13.Glasserman, P. (2003): Monte Carlo Methods in Financial Engineering (Stochastic Modelling and Applied Probability), Springer, New York 14.Kunitomo, N. and Ikeda, M. (1992): “Pricing Options with Curved Boundaries”, Mathematical Finance, 2 (1992), pp. 275-298 15.Li, Anlong (1999): “The Pricing of Double Barrier Options and Their Variations”, Advances in Futures and Options Research, 10 (1999), pp. 17-41 16.Merton, R.C. (1973): “Theory of Rational Option Pricing”, Bell Journal of Economics and Management Science, 4 (1973), pp. 141-183 17.Reiner, E. and Rubinstein, M. (1991): “Breaking Down the Barriers”, Risk Magazine, 4 (1991), pp. 28-35 18.Ritchken, P. (1995): “On Pricing Barrier Options”, Journal of Derivatives, 3 (1995), pp. 19-28 19.Ritchken, P. and Salkin, H. (1983): “Safety First Selection Techniques for Option Spread”, Journal of Portfolio Management, 9, pp. 61-67 20.Wilmott, P., Dewynne, J. and Howison, S. (1993): Option Pricing: Mathematical Models and Computation, Oxford Financial Press, Oxford 21.Wystup, U. (2007): FX Options and Structured Products, John Wiley & Sons, Inc., New York 22.Zvan, R., Forsyth, P. and Vertzal, K. (1998): “Robust Numerical Methods for PDE Models of Asian Options”, Journal of Computational Finance, 1(Winter) (1998), pp. 39-78 描述 碩士
國立政治大學
金融研究所
96352028資料來源 http://thesis.lib.nccu.edu.tw/record/#G0963520281 資料類型 thesis dc.contributor.advisor 陳松男 zh_TW dc.contributor.author (Authors) 許展維 zh_TW dc.contributor.author (Authors) Hsu, Chan Wei en_US dc.creator (作者) 許展維 zh_TW dc.creator (作者) Hsu, Chan Wei en_US dc.date (日期) 2009 en_US dc.date.accessioned 9-May-2016 11:50:23 (UTC+8) - dc.date.available 9-May-2016 11:50:23 (UTC+8) - dc.date.issued (上傳時間) 9-May-2016 11:50:23 (UTC+8) - dc.identifier (Other Identifiers) G0963520281 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/94771 - dc.description (描述) 碩士 zh_TW dc.description (描述) 國立政治大學 zh_TW dc.description (描述) 金融研究所 zh_TW dc.description (描述) 96352028 zh_TW dc.description.abstract (摘要) 本文的主要內容為評價JPMorgan Chase & Co.(美國摩根大通銀行)及UBS(瑞士銀行)所發行的兩檔結構型票券,共同的特色是票券為保本型且不付息,報酬條款中附有雙重界限觸及失效選擇權,其價值對於標的資產的波動程度相當敏感。一旦標的資產價格觸及任一界限,具有額外收益的選擇權將失效,投資人僅能拿回原始投資本金,相當於損失了原本可能獲得的無風險利息。 針對雙重界限觸及失效選擇權,我們使用顯式、隱式以及Crank-Nicolson三種有限差分法來進行評價,並比較蒙地卡羅模擬和封閉解的結果,藉以了解各種方法的準確性及效率。接著我們求算避險參數Greeks,分析發行商所面臨的風險。同時根據市場未來的情況,分析投資人的預期收益,進而了解這種商品在市場上廣為流通的原因,以及此類新奇結構型商品對於風險的重分配方式,如何締造買方賣方雙贏的局面。 zh_TW dc.description.tableofcontents 第一章 緒論………………………………………………………………………1 第一節 界限選擇權簡介………………………………………………………1 第二節 研究動機………………………………………………………………2 第三節 研究目的………………………………………………………………3 第四節 研究架構………………………………………………………………4 第二章 文獻回顧…………………………………………………………………6 第三章 研究方法…………………………………………………………………8 第一節 基本假設………………………………………………………………8 第二節 有限差分法…………………………………………………………10 第三節 蒙地卡羅模擬法……………………………………………………22 第四節 封閉解………………………………………………………………24 第五節 避險參數Greeks求算-利用有限差分法…………………………26 第四章 雙重界限觸及失效連動票券之個案研究……………………………29 第一節 商品介紹……………………………………………………………29 第二節 商品評價……………………………………………………………33 第三節 風險分析……………………………………………………………46 第四節 本章小結……………………………………………………………54 第五章 區間累計匯率連動票券之個案研究…………………………………55 第一節 商品介紹……………………………………………………………55 第二節 商品評價……………………………………………………………60 第三節 風險分析……………………………………………………………72 第四節 本章小結……………………………………………………………79 第六章 結論與建議……………………………………………………………80 第一節 結論…………………………………………………………………80 第二節 後續研究建議………………………………………………………83 參考文獻……………………………………………………………………………84 zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0963520281 en_US dc.subject (關鍵詞) 雙重界限 zh_TW dc.subject (關鍵詞) 觸及失效 zh_TW dc.subject (關鍵詞) 有限差分法 zh_TW dc.subject (關鍵詞) 蒙地卡羅模擬 zh_TW dc.subject (關鍵詞) Double Barrier en_US dc.subject (關鍵詞) Knock Out en_US dc.subject (關鍵詞) Finite Difference Method en_US dc.subject (關鍵詞) Monte Carlo Simulation en_US dc.title (題名) 結構型商品之評價與分析-附有雙重界限選擇權之股權及匯率連動票券 zh_TW dc.type (資料類型) thesis en_US dc.relation.reference (參考文獻) 中文部分: 1.陳松男(民94):金融工程學-金融商品創新與選擇權理論,新陸書局 2.陳松男(民93):結構型金融商品之設計及創新,新陸書局 3.陳松男(民94):結構型金融商品之設計及創新(二),新陸書局 4.陳威光(民91):選擇權-理論‧實務與應用,智勝出版社 5.謝嫚琦(民93):結構型債券之評價與分析,國立政治大學金融研究所碩士論文 6.李映瑾(民94):結構型商品之評價與分析-每日計息雙區間連動及匯率連動債券,國立政治大學金融研究所碩士論文 英文部分: 1.Boyle, P.P. (1998): “An Explicit Finite Difference Approach to The Pricing of Barrier Options”, Applied Mathematical Finance, 5 (1998), pp. 17-43 2.Boyle, P.P. and Lau S.H. (1994): “Bumping Up Against The Barrier with The Binomial Method”, Journal of Derivatives, 1 (1994), pp. 6-14 3.Boyle, P.P. (1977): “Options: A Monte Carlo Approach”, Journal of Financial Economics, 4 (1977), pp. 323-338 4.Brandimarte, P. (2002): Numerical Methods in Finance: A MATLAB-Based Introduction, John Wiley & Sons, Inc. , New York 5.Broadie, M., Glasserman, P. and Kou, S. (1997): “A Continuity Correction for Discrete Barrier Options”, Mathematical Finance, 7 (1997), pp. 325-349 6.Cao, G. and MacLeod, R. (2005): “Pricing Exotic Barrier Options with Finite Differences”, SSRN Working Paper Series 7.Carr, P., Ellis, K. and Gupta, V. (1998): “Static Hedging of Exotic Options”, The Journal of Finance, 53, No.3 (Jun., 1998), pp. 1165-1190 8.Cheuk, T.H.F. and Vorst, T.C.F. (1994): “Real-Life Barrier Options”, Unpublished manuscript, Erasmus University, Rotterdam, Netherlands 9.Cox, J.C., Ross, S.A. and Rubinstein, M. (1979): “Option Pricing: A Simplified Approach”, Journal of Financial Economics, 7 (1979), pp. 229-264 10.Espen Gaardder, H. (1998): The Complete Guide to Option Pricing Formulas, McGraw-Hill, New York 11.Fries, P.C. (2007): Mathematical Finance: Theory, Modeling, Implementation, John Wiley & Sons, Inc. , New York 12.German, H. and Yor, M. (1996): ”Pricing and Hedging Double Barrier Options: A Probabilistic Approach”, Mathematical Finance, 6 (1996), pp.365-378 13.Glasserman, P. (2003): Monte Carlo Methods in Financial Engineering (Stochastic Modelling and Applied Probability), Springer, New York 14.Kunitomo, N. and Ikeda, M. (1992): “Pricing Options with Curved Boundaries”, Mathematical Finance, 2 (1992), pp. 275-298 15.Li, Anlong (1999): “The Pricing of Double Barrier Options and Their Variations”, Advances in Futures and Options Research, 10 (1999), pp. 17-41 16.Merton, R.C. (1973): “Theory of Rational Option Pricing”, Bell Journal of Economics and Management Science, 4 (1973), pp. 141-183 17.Reiner, E. and Rubinstein, M. (1991): “Breaking Down the Barriers”, Risk Magazine, 4 (1991), pp. 28-35 18.Ritchken, P. (1995): “On Pricing Barrier Options”, Journal of Derivatives, 3 (1995), pp. 19-28 19.Ritchken, P. and Salkin, H. (1983): “Safety First Selection Techniques for Option Spread”, Journal of Portfolio Management, 9, pp. 61-67 20.Wilmott, P., Dewynne, J. and Howison, S. (1993): Option Pricing: Mathematical Models and Computation, Oxford Financial Press, Oxford 21.Wystup, U. (2007): FX Options and Structured Products, John Wiley & Sons, Inc., New York 22.Zvan, R., Forsyth, P. and Vertzal, K. (1998): “Robust Numerical Methods for PDE Models of Asian Options”, Journal of Computational Finance, 1(Winter) (1998), pp. 39-78 zh_TW
