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題名 連結匯率變動之利率衍生性商品相關研究
Valuation of quanto interest rate derivatives in a cross-currency LIBOR market model
作者 周奇勳
貢獻者 陳松男
周奇勳
關鍵詞 跨貨幣市場利率模型
匯率連動利率交換
匯率連動利率上限
新奇匯率連動交換
日期 2009
上傳時間 8-Dec-2010 16:21:00 (UTC+8)
摘要 在這篇論文裡,我們考量在跨貨幣經濟體系中的市場利率模型,除了本國利率,同時考慮外國利率與兩國匯率的變動過程。在這個架構之下,我們推導匯率連動利率衍生性商品的價格,此模型具有易於執行且參數估計容易的特點。
參考文獻 Amin, K., Jarrow, R. A. (1991). "Pricing foreign currency options under stochastic interest rates," Journal of International Money and Finance, October, 301-329.
Brace, A., Dun, T. A., Barton, G. (1998). "Towards a central interest rate model," FMMA notes working paper.
Brace, A., Womersley, R. S. (2000). "Exact fit to the swaption volatility matrix using semidefinite programming," Paper presented at the ICBI Global Derivatives Conference.
Brace, A., Gatarek D., Musiela, M. (1997). "The Market Model of Interest Rate Dynamics," Mathematical Finance 7, 127-155.
Brace, A., Musiela, M. (1997). "Swap Derivatives in a Gaussian HJM Framework," Mathematics of Derivative Securities, M.A.H. Dempster, S. R. Pliska, eds. Cambridge University Press, Cambridge, 336-368.
Brigo, D., Mercurio, F. (2006). Interest rate models: theory and practice. New York: Springer-Verlag.
Chang, C. C., Chung, S. L., Yu, M. T. (2002). "Valuation and Hedging of Differential Swaps," Journal of Futures Markets, Jan, 73-94.
Das, S. (1992a). "Differential Strip-Down," Risk, June, 65-72.
Das, S. (1992b). "Differential Operators," Risk, July, 51-53.
Heath, D., Jarrow, R. Morton, A. (1992). Bond pricing and the term structure of interest rates: A new methodology for contingent claim valuations. Econometrica,
60(1), 77-105.
Hull, J., White, A. (1990). "Pricing interest rate derivatives securities," Review of Financial Studies 3, 573-592.
Jamshidan, F. (1993). "Price Differentials," RISK, 6, 7, 48-51.
Jamshidan, F. (1994). "Hedging quantos, differential swaps and ratios," Applied Mathematical Finance, 1-20.
Litzenberger, R. H. (1992). "Swaps: plain and fanciful," Journal of Finance, July, 831-850.
Rebonato, R. (1999). On the simultaneous calibration of multifactor lognormal interest rate models
to Black volatilities and to the correlation matrix. Journal of Computational Finance, 2, 5-27.
Rogers, C. (1996). "Gaussian Errors," RISK 9, 42-45.
Turnbull, S. (1993). "Pricing and Hedging Diff Swaps," Journal of Financial engineering, December, 297-333.
Wei, J. (1994). "Valuing Differential Swaps," Journal of Derivatives, Spring, 64-76.
Wu, T. P., Chen, S. N. (2007). "Cross-currency Equity Swap in the BGM Model," Journal of Derivatives, Winter, 60-76.
描述 博士
國立政治大學
金融研究所
93352505
98
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0933525051
資料類型 thesis
dc.contributor.advisor 陳松男zh_TW
dc.contributor.author (Authors) 周奇勳zh_TW
dc.creator (作者) 周奇勳zh_TW
dc.date (日期) 2009en_US
dc.date.accessioned 8-Dec-2010 16:21:00 (UTC+8)-
dc.date.available 8-Dec-2010 16:21:00 (UTC+8)-
dc.date.issued (上傳時間) 8-Dec-2010 16:21:00 (UTC+8)-
dc.identifier (Other Identifiers) G0933525051en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/49669-
dc.description (描述) 博士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) 93352505zh_TW
dc.description (描述) 98zh_TW
dc.description.abstract (摘要) 在這篇論文裡,我們考量在跨貨幣經濟體系中的市場利率模型,除了本國利率,同時考慮外國利率與兩國匯率的變動過程。在這個架構之下,我們推導匯率連動利率衍生性商品的價格,此模型具有易於執行且參數估計容易的特點。zh_TW
dc.description.tableofcontents 1 Introduction 4
2 The Model 7
3 Valuation of Quanto Interest Rate Derivatives 12
3.1 Quanto Swaps 12
3.2 Quanto Caps/Floors 15
3.3 Exotic Quanto Swaps 18
4 Calibration and Numerical Analysis 22
4.1 Calibration Procedure 22
4.2 Numerical Analysis 24
5 Conclusion 29
Appendix A: Proof of Theorem 1 30
Appendix B: Proof of Theorem 2 32
Appendix C: Proof of Theorem 5 34
Appendix D: The Market Data 35
Bibliography 36
zh_TW
dc.format.extent 442388 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0933525051en_US
dc.subject (關鍵詞) 跨貨幣市場利率模型zh_TW
dc.subject (關鍵詞) 匯率連動利率交換zh_TW
dc.subject (關鍵詞) 匯率連動利率上限zh_TW
dc.subject (關鍵詞) 新奇匯率連動交換zh_TW
dc.title (題名) 連結匯率變動之利率衍生性商品相關研究zh_TW
dc.title (題名) Valuation of quanto interest rate derivatives in a cross-currency LIBOR market modelen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Amin, K., Jarrow, R. A. (1991). "Pricing foreign currency options under stochastic interest rates," Journal of International Money and Finance, October, 301-329.zh_TW
dc.relation.reference (參考文獻) Brace, A., Dun, T. A., Barton, G. (1998). "Towards a central interest rate model," FMMA notes working paper.zh_TW
dc.relation.reference (參考文獻) Brace, A., Womersley, R. S. (2000). "Exact fit to the swaption volatility matrix using semidefinite programming," Paper presented at the ICBI Global Derivatives Conference.zh_TW
dc.relation.reference (參考文獻) Brace, A., Gatarek D., Musiela, M. (1997). "The Market Model of Interest Rate Dynamics," Mathematical Finance 7, 127-155.zh_TW
dc.relation.reference (參考文獻) Brace, A., Musiela, M. (1997). "Swap Derivatives in a Gaussian HJM Framework," Mathematics of Derivative Securities, M.A.H. Dempster, S. R. Pliska, eds. Cambridge University Press, Cambridge, 336-368.zh_TW
dc.relation.reference (參考文獻) Brigo, D., Mercurio, F. (2006). Interest rate models: theory and practice. New York: Springer-Verlag.zh_TW
dc.relation.reference (參考文獻) Chang, C. C., Chung, S. L., Yu, M. T. (2002). "Valuation and Hedging of Differential Swaps," Journal of Futures Markets, Jan, 73-94.zh_TW
dc.relation.reference (參考文獻) Das, S. (1992a). "Differential Strip-Down," Risk, June, 65-72.zh_TW
dc.relation.reference (參考文獻) Das, S. (1992b). "Differential Operators," Risk, July, 51-53.zh_TW
dc.relation.reference (參考文獻) Heath, D., Jarrow, R. Morton, A. (1992). Bond pricing and the term structure of interest rates: A new methodology for contingent claim valuations. Econometrica,zh_TW
dc.relation.reference (參考文獻) 60(1), 77-105.zh_TW
dc.relation.reference (參考文獻) Hull, J., White, A. (1990). "Pricing interest rate derivatives securities," Review of Financial Studies 3, 573-592.zh_TW
dc.relation.reference (參考文獻) Jamshidan, F. (1993). "Price Differentials," RISK, 6, 7, 48-51.zh_TW
dc.relation.reference (參考文獻) Jamshidan, F. (1994). "Hedging quantos, differential swaps and ratios," Applied Mathematical Finance, 1-20.zh_TW
dc.relation.reference (參考文獻) Litzenberger, R. H. (1992). "Swaps: plain and fanciful," Journal of Finance, July, 831-850.zh_TW
dc.relation.reference (參考文獻) Rebonato, R. (1999). On the simultaneous calibration of multifactor lognormal interest rate modelszh_TW
dc.relation.reference (參考文獻) to Black volatilities and to the correlation matrix. Journal of Computational Finance, 2, 5-27.zh_TW
dc.relation.reference (參考文獻) Rogers, C. (1996). "Gaussian Errors," RISK 9, 42-45.zh_TW
dc.relation.reference (參考文獻) Turnbull, S. (1993). "Pricing and Hedging Diff Swaps," Journal of Financial engineering, December, 297-333.zh_TW
dc.relation.reference (參考文獻) Wei, J. (1994). "Valuing Differential Swaps," Journal of Derivatives, Spring, 64-76.zh_TW
dc.relation.reference (參考文獻) Wu, T. P., Chen, S. N. (2007). "Cross-currency Equity Swap in the BGM Model," Journal of Derivatives, Winter, 60-76.zh_TW