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題名 Quanto EIA的評價
Valuation of Quanto Equity Indexed Annuities
作者 陳冠妤
Chen,Kuan Yu
貢獻者 謝明華<br>蔡瑞煌
Hsieh,Ming hua<br>Tsaih,Rua huan
陳冠妤
Chen,Kuan Yu
關鍵詞 權益指數年金
匯率連動
變異數縮減
簡單年度重設
日期 2007
上傳時間 8-Dec-2010 15:49:48 (UTC+8)
摘要 本文主要針對匯率連動權益指數年金(Quanto Equity-Indexed Annuities)做評價,首先,先介紹三種不同權益指數年金(Equity-Indexed Annuities,EIA),分別為點對點(Point-to-Point)、高水檔(High Water Mark)和年度重設(Annual Ratchet),而年度重設又可分為複利年度重設(Compound Annual Ratchet)和簡單年度重設(Simple Annual Ratchet)。接著,我們介紹了單資產Quanto模型和多資產Quanto模型,並推導出單資產Quanto EIA的封閉解。由於多資產Quanto EIA無封閉解,本研究運用蒙地卡羅法來評價商品價格,並利用變異數縮減方法,使其模擬速度增快。我們使用了控制變異法(Control Variates)和反向變異法(Antithetic Variates),發現兩者同時使用的變異數縮減效果最佳。最後,本文透過調整參與率、上限率、下限率、利率和匯率與連結標的的相關係數來觀察成本的變化,提供建議予商品發行商。
參考文獻 Baxter, M. W., and A. J. O. Rennie, 1996. Financial Calculus: An Introduction to Derivative Pricing (Cambridge University Press).
Boyle, P., 1977, Options: A Monte Carlo approach, Journal of Financial Economics 4, 323-338.
Boyle, P., M. Broadie, and P. Glasserman, 1997, Monte Carlo methods for security pricing, Journal of Economic Dynamics and Control 21, 1267-1321.
Boyle, P., and Y Tse, 1990, An algorithm for computing values of options on the maximum or minimum of several assets, Journal of Financial and Quantitative Analysis 25, 215-227.
Buetow, G. W., 1999, Ratchet options, Journal of Financial and Strategic Decisions 12, 17-30.
Den Iseger, P., and E. Oldenkamp, 2005, Cliquet options: pricing and Greeks in deterministic and stochastic volatility models, (working paper).
Glasserman, P., 2004. Monte Carlo Methods in Financial Engineering (Springer).
Hardy, M., 2003. Investment Guarantees: Modeling and Risk Management for Equity-Linked Life Insurance (Wiley).
Hardy, M., 2004, Ratchet equity indexed annuities, 14th Annual International AFIR Colloquium.
Hsieh, M., and Y. Chiu, 2007, Monte Carlo methods for valuation of ratchet equity indexed annuities, Simulation Conference, 2007 Winter 998-1003.
Hull, J., 2006. Options, futures, and other derivatives (Prentice Hall Upper Saddle River, NJ).
Insurancenewsnet, 2008, AnnuitySpecs.com Releases Fourth Quarter, 2007 Indexed Sales Results. Via <http://www.insurancenewsnet.com/
article.asp?a=top_news&id=91540> [accessed March 1, 2008].
Jean-Yves, D., G. Genevieve, and S. Jean-Guy, 2003, The performance of analytical approximations for the computation of Asian quanto-basket option prices, Multinational Finance Journal 7, 55-81.
Johnson, H., 1987, Options on the maximum or the minimum of several assets, Journal of Financial and Quantitative Analysis 22, 277-283.
Lee, H., 2002, Pricing equity-indexed annuities embedded with exotic options, (Contingencies) Jan/Feb 2002,34-38.
Lin, X. S., and K. S. Tan, 2003, Valuation of equity-indexed annuities under stochastic interest rates, North American Actuarial Journal 7, 72-91.
Mats, Kjaer, 2006, Fast pricing of cliquet options with global floor, Journal of Derivatives 14, 47-60.
Windcliff, H. A., P. A. Forsyth, and K. R. Vetzal, 2006, Numerical methods and volatility models for valuing cliquet options, Applied Mathematical Finance 13, 353-386.
陳威光, 2001, 選擇權 : 理論實務與應用, (智勝文化事業有限公司出版).
描述 碩士
國立政治大學
資訊管理研究所
95356003
96
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0095356003
資料類型 thesis
dc.contributor.advisor 謝明華<br>蔡瑞煌zh_TW
dc.contributor.advisor Hsieh,Ming hua<br>Tsaih,Rua huanen_US
dc.contributor.author (Authors) 陳冠妤zh_TW
dc.contributor.author (Authors) Chen,Kuan Yuen_US
dc.creator (作者) 陳冠妤zh_TW
dc.creator (作者) Chen,Kuan Yuen_US
dc.date (日期) 2007en_US
dc.date.accessioned 8-Dec-2010 15:49:48 (UTC+8)-
dc.date.available 8-Dec-2010 15:49:48 (UTC+8)-
dc.date.issued (上傳時間) 8-Dec-2010 15:49:48 (UTC+8)-
dc.identifier (Other Identifiers) G0095356003en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/49650-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 資訊管理研究所zh_TW
dc.description (描述) 95356003zh_TW
dc.description (描述) 96zh_TW
dc.description.abstract (摘要) 本文主要針對匯率連動權益指數年金(Quanto Equity-Indexed Annuities)做評價,首先,先介紹三種不同權益指數年金(Equity-Indexed Annuities,EIA),分別為點對點(Point-to-Point)、高水檔(High Water Mark)和年度重設(Annual Ratchet),而年度重設又可分為複利年度重設(Compound Annual Ratchet)和簡單年度重設(Simple Annual Ratchet)。接著,我們介紹了單資產Quanto模型和多資產Quanto模型,並推導出單資產Quanto EIA的封閉解。由於多資產Quanto EIA無封閉解,本研究運用蒙地卡羅法來評價商品價格,並利用變異數縮減方法,使其模擬速度增快。我們使用了控制變異法(Control Variates)和反向變異法(Antithetic Variates),發現兩者同時使用的變異數縮減效果最佳。最後,本文透過調整參與率、上限率、下限率、利率和匯率與連結標的的相關係數來觀察成本的變化,提供建議予商品發行商。zh_TW
dc.description.tableofcontents 第一章 緒論 6
第一節 研究動機 6
第二節 研究目的 9
第二章 文獻探討 10
第一節 EIA商品介紹 10
ㄧ、 單資產連結 10
二、 多資產連結 13
第二節 蒙地卡羅模擬法介紹 14
ㄧ、 反向變異法(Antithetic Variates) 17
二、 控制變異法(Control Variates) 17
第三章 研究方法與模型設定 20
第一節 單資產Quanto模型 20
第二節 多資產Quanto模型 24
第四章 數值例子 27
第一節 單資產Quanto EIA 27
第二節 多資產Quanto EIA 32
第五章 結論 73
zh_TW
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0095356003en_US
dc.subject (關鍵詞) 權益指數年金zh_TW
dc.subject (關鍵詞) 匯率連動zh_TW
dc.subject (關鍵詞) 變異數縮減zh_TW
dc.subject (關鍵詞) 簡單年度重設zh_TW
dc.title (題名) Quanto EIA的評價zh_TW
dc.title (題名) Valuation of Quanto Equity Indexed Annuitiesen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Baxter, M. W., and A. J. O. Rennie, 1996. Financial Calculus: An Introduction to Derivative Pricing (Cambridge University Press).zh_TW
dc.relation.reference (參考文獻) Boyle, P., 1977, Options: A Monte Carlo approach, Journal of Financial Economics 4, 323-338.zh_TW
dc.relation.reference (參考文獻) Boyle, P., M. Broadie, and P. Glasserman, 1997, Monte Carlo methods for security pricing, Journal of Economic Dynamics and Control 21, 1267-1321.zh_TW
dc.relation.reference (參考文獻) Boyle, P., and Y Tse, 1990, An algorithm for computing values of options on the maximum or minimum of several assets, Journal of Financial and Quantitative Analysis 25, 215-227.zh_TW
dc.relation.reference (參考文獻) Buetow, G. W., 1999, Ratchet options, Journal of Financial and Strategic Decisions 12, 17-30.zh_TW
dc.relation.reference (參考文獻) Den Iseger, P., and E. Oldenkamp, 2005, Cliquet options: pricing and Greeks in deterministic and stochastic volatility models, (working paper).zh_TW
dc.relation.reference (參考文獻) Glasserman, P., 2004. Monte Carlo Methods in Financial Engineering (Springer).zh_TW
dc.relation.reference (參考文獻) Hardy, M., 2003. Investment Guarantees: Modeling and Risk Management for Equity-Linked Life Insurance (Wiley).zh_TW
dc.relation.reference (參考文獻) Hardy, M., 2004, Ratchet equity indexed annuities, 14th Annual International AFIR Colloquium.zh_TW
dc.relation.reference (參考文獻) Hsieh, M., and Y. Chiu, 2007, Monte Carlo methods for valuation of ratchet equity indexed annuities, Simulation Conference, 2007 Winter 998-1003.zh_TW
dc.relation.reference (參考文獻) Hull, J., 2006. Options, futures, and other derivatives (Prentice Hall Upper Saddle River, NJ).zh_TW
dc.relation.reference (參考文獻) Insurancenewsnet, 2008, AnnuitySpecs.com Releases Fourth Quarter, 2007 Indexed Sales Results. Via <http://www.insurancenewsnet.com/zh_TW
dc.relation.reference (參考文獻) article.asp?a=top_news&id=91540> [accessed March 1, 2008].zh_TW
dc.relation.reference (參考文獻) Jean-Yves, D., G. Genevieve, and S. Jean-Guy, 2003, The performance of analytical approximations for the computation of Asian quanto-basket option prices, Multinational Finance Journal 7, 55-81.zh_TW
dc.relation.reference (參考文獻) Johnson, H., 1987, Options on the maximum or the minimum of several assets, Journal of Financial and Quantitative Analysis 22, 277-283.zh_TW
dc.relation.reference (參考文獻) Lee, H., 2002, Pricing equity-indexed annuities embedded with exotic options, (Contingencies) Jan/Feb 2002,34-38.zh_TW
dc.relation.reference (參考文獻) Lin, X. S., and K. S. Tan, 2003, Valuation of equity-indexed annuities under stochastic interest rates, North American Actuarial Journal 7, 72-91.zh_TW
dc.relation.reference (參考文獻) Mats, Kjaer, 2006, Fast pricing of cliquet options with global floor, Journal of Derivatives 14, 47-60.zh_TW
dc.relation.reference (參考文獻) Windcliff, H. A., P. A. Forsyth, and K. R. Vetzal, 2006, Numerical methods and volatility models for valuing cliquet options, Applied Mathematical Finance 13, 353-386.zh_TW
dc.relation.reference (參考文獻) 陳威光, 2001, 選擇權 : 理論實務與應用, (智勝文化事業有限公司出版).zh_TW