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題名 跨國經濟體系下Quanto Range Accrual Notes的評價與避險
Pricing and Hedging of Quanto Range Accrual Notes under Gaussian HJM with Cross- Currency Levy Processes
作者 徐保鵬
Hsu, Pao Peng
貢獻者 廖四郎
Liao, Szu Lang
徐保鵬
Hsu, Pao Peng
關鍵詞 區間票息債券
Range Accrual Notes
Compound-Poisson jump
Hedging Strategy
日期 2008
上傳時間 14-Sep-2009 09:33:18 (UTC+8)
摘要 This dissertation analyzes the pricing and hedging problems for quanto range accrual note under the HJM-framework with Levy processes for instantaneous domestic and foreign forward interest rates. We consider both the effects of jump risks of interest rate and exchange rate on the pricing of the notes.
      The pricing formula for quanto double interest rate digital option and quanto contingent payoff option are first derived, then we apply the method proposed by Turnbull(1995) to duplicate the qaunto range accrual note by a combination of the quanto double interest rate digital option and the qunato contingent payoff option. Furthermore, using the pricing formulas derived in this paper, we obtain the hedging position for each issue of range accrual notes.
     In addition, by simulation and assuming the jump to be compound Poisson process, we further analyze the effects of jump risk and exchange rate risk on the coupons receivable in holding a range accrual note.
This dissertation analyzes the pricing and hedging problems for quanto range accrual note under the HJM-framework with Levy processes for instantaneous domestic and foreign forward interest rates. We consider both the effects of jump risks of interest rate and exchange rate on the pricing of the notes.
      The pricing formula for quanto double interest rate digital option and quanto contingent payoff option are first derived, then we apply the method proposed by Turnbull(1995) to duplicate the qaunto range accrual note by a combination of the quanto double interest rate digital option and the qunato contingent payoff option. Furthermore, using the pricing formulas derived in this paper, we obtain the hedging position for each issue of range accrual notes.
     In addition, by simulation and assuming the jump to be compound Poisson process, we further analyze the effects of jump risk and exchange rate risk on the coupons receivable in holding a range accrual note.
參考文獻 1.Bates, D. S. (1996). Jumps and stochastic volatility: Exchange rate processes implicit in deutsche mark options. Review of Financial Studies, 9, 69-107.
2.Bates, D. S. (2000). Post-’87 crash fears in the S&P 500 futures option market. Journal of Econometrics, 94, 181-238.
3.Björk, T., Kabanov, Y., & Runggaldier, W. (1997). Bond market structure in the presence of marked point processes. Mathematical Finance, 7(2), 211-223.
4.Brace, A., Gatarek, D. & Musiela, M. (1997). The Market Model of Interest Rate Dynamics. Mathematical Finance, 7, 127-147.
5.Carr, P., & Madan, D. B. (1999). Option valuation using the fast Fourier transform. Journal of Computational Finance, 2, 61-73.
6.Cox, J. C., Ingersoll. J. E. & Ross, S. A. (1985). A Theory of the Term Structure of Interest Rates. Econometrica, 53(2), 385-408.
7.Cont, R., & Tankov, P. (2004). Financial modelling with jump processes. CRC Press.
8.Das, S. R. (1995). Jump-Diffusion processes and the bond markets. Working paper, Santa Clara University.
9.Das, S. R. (2002). The surprise element: Jumps in interest rates. Journal of Econometrics, 106, 27-65.
10.Driessen, J., Klaassen, P., & Melenberg, B. (2000). The performance of multi-factor term structure models for pricing and hedging caps and swaptions. Working paper, Tilburg University.
11.Dwyer, G. P., & Hafer, R. W. (1989). Interest rates and economic announcements. Technical report, Federal Reserve Bank of St. Louis.
12.Eberlein, E., & Raible, S. (1999). Term structure models driven by general Levy processes. Mathematical Finance, 9, 31-53.
13.Eberlein, E., & Ozkan, F. (2005). The Levy Libor model. Finance and Stochastic, 9, 372-348.
14.Eberlein, E., & Kluge, W. (2006). Valuation of floating range notes in Levy term-structure models. Mathematical Finance, 16(2), 237-54.
15.Gibson, R., & Schwartz, E. S. (1990). Stochastic Convenience Yield And the Pricing of Oil Contingent Claims. Journal of Finance, 45(3), 959-976.
16.Glasserman, P., & Kou, S. G. (2003). The term structure of simple forward rates with jump Risk. Mathematical Finance, 13(3), 383-410.
17.Hardouvelis, G. A. (1988). Economic news, exchange rates and interest rates. Journal of International Money and Finance, 7(1), 23-35.
18.Heston, S. L. (1995). A model of discontinuous interest rate behaviour, yield curves and volatility. Working Paper, University of Maryland.
19.Huang, S.C., & Hung, M. W. (2005). Pricing foreign equity options under Levy processes. The Journal of Futures Markets, 25 (10), 917-944.
20.Hull, J. & White, A. (1990). Pricing Interest Rate Derivative Securities. Review of Financial Studies. 3, 573-592.
21.Jarrow, R. A., & Turnbull, S. M. (1994). Delta, gamma and bucket hedging of interest rate derivatives. Applied Mathematical Finance, 1, 21-48.
22.Jiang, G. J. (1998). Jump-Diffusion Model of Exchange Rate Dynamics Estimation Via Indirect Inference. Issues in Computational Economics and Finance, edited by S. Holly and S. Greenblatt, Amsterdam: Elsevier.
23.Johnson, G. & Schneeweis, T. (1994). Jump-Diffusion Processes in the Foreign Exchange Markets and the Release of Macroeconomic News. Computational Economics, 7, 309-329.
24.Jorion, P. (1988). On Jump Processes in the Foreign Exchange and Stock Markets. Review of Financial Studies, 1, 427-445.
25.Koval, N. (2005). Time-inhomogeneous Lévy processes in cross-currency market models. Dissertation. Universität Freiburg
26.Merton, R. C. (1976). Option pricing when underlying stock returns are discontinuous. Journal of Financial Economics, 3, 125-144.
27.Naik, V., & Lee, M. (1990). General equilibrium pricing of options on the market portfolio with discontinuous returns. Review of Financial Studies, 3, 493-521.
28.Navatte, P., & Quittard-Pinon, F. (1999). The valuation of interest rate digital options and range notes revisited. European Financial Management, 5(3), 425-440.
29.Nunes, J. P. V. (2004). Multifactor valuation of floating range notes. Mathematical Finance, 14(1), 79-97.
30.Park, K., Kim, M. & Kim, S. (2006). On Monte Carlo Simulation for the HJM Model Based on Jump. Lecture Notes in Computer Science, 38-45.
31.Raible, S. (2000). Lévy processes in finance: theory, numerics, and empirical Facts. Dissertation. Universität Freiburg
32.Reiner, E. (1992). Quanto mechanics. Risk, 5(3), 59-63.
33.Shirakawa, H. (1991). Interest rate option pricing with Poisson-Gaussian forward rate curve processes. Mathematical Finance, 1(4), 77-94.
34.Strickland, C. (1996). A Comparison of Models of the Term Structure. Journal of European Finance, 2, 261-287.
35.Takahashi, A., Takehara, K. & Yamazaki, A. (2006). Pricing Currency Options with a Market Model of Interest Rates under Jump-Diffusion Stochastic. CIRJE Discussion Papers.
36.Turnbull, S. (1995). Interest rate digital options and range notes. Journal of Derivatives, 3(2), 92-101.
37.Vasicek, O. (1977). An equilibrium characterization of the term structure. Journal of financial Economics, 5, 177-188.
38.Zhang, B. (2006). A new Levy based short rate model for the fixed income market and its estimation with particle filter. Dissertation. University of Maryland.
描述 博士
國立政治大學
金融研究所
91352502
97
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0913525021
資料類型 thesis
dc.contributor.advisor 廖四郎zh_TW
dc.contributor.advisor Liao, Szu Langen_US
dc.contributor.author (Authors) 徐保鵬zh_TW
dc.contributor.author (Authors) Hsu, Pao Pengen_US
dc.creator (作者) 徐保鵬zh_TW
dc.creator (作者) Hsu, Pao Pengen_US
dc.date (日期) 2008en_US
dc.date.accessioned 14-Sep-2009 09:33:18 (UTC+8)-
dc.date.available 14-Sep-2009 09:33:18 (UTC+8)-
dc.date.issued (上傳時間) 14-Sep-2009 09:33:18 (UTC+8)-
dc.identifier (Other Identifiers) G0913525021en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/31219-
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) 91352502zh_TW
dc.description (描述) 97zh_TW
dc.description.abstract (摘要) This dissertation analyzes the pricing and hedging problems for quanto range accrual note under the HJM-framework with Levy processes for instantaneous domestic and foreign forward interest rates. We consider both the effects of jump risks of interest rate and exchange rate on the pricing of the notes.
      The pricing formula for quanto double interest rate digital option and quanto contingent payoff option are first derived, then we apply the method proposed by Turnbull(1995) to duplicate the qaunto range accrual note by a combination of the quanto double interest rate digital option and the qunato contingent payoff option. Furthermore, using the pricing formulas derived in this paper, we obtain the hedging position for each issue of range accrual notes.
     In addition, by simulation and assuming the jump to be compound Poisson process, we further analyze the effects of jump risk and exchange rate risk on the coupons receivable in holding a range accrual note.
zh_TW
dc.description.abstract (摘要) This dissertation analyzes the pricing and hedging problems for quanto range accrual note under the HJM-framework with Levy processes for instantaneous domestic and foreign forward interest rates. We consider both the effects of jump risks of interest rate and exchange rate on the pricing of the notes.
      The pricing formula for quanto double interest rate digital option and quanto contingent payoff option are first derived, then we apply the method proposed by Turnbull(1995) to duplicate the qaunto range accrual note by a combination of the quanto double interest rate digital option and the qunato contingent payoff option. Furthermore, using the pricing formulas derived in this paper, we obtain the hedging position for each issue of range accrual notes.
     In addition, by simulation and assuming the jump to be compound Poisson process, we further analyze the effects of jump risk and exchange rate risk on the coupons receivable in holding a range accrual note.
en_US
dc.description.tableofcontents TABLE OF CONTENTS
     Table of Contents ii
     Acknowledgement iii
     List of Tables iv
     Preface v
     Pricing and Hedging of Quanto Range Accrual Notes under Gaussian HJM with Cross- Currency Levy Processes
     Abstract 1
     1. Introduction 2
     2. The Model 7
     2.1 The Setting 7
     2.2 Tools for Changing Measures 11
     3. Pricing 16
     3.1 Digital Options 16
     3.2 Valuation of Quanto Floating Range Accrual Notes 20
     4. Hedging Quanto Floating Range Accrual Note 26
     5. Numerical Analysis 30
     6. Conclusion 33
     7. Notes 35
     Appendix A 37
     Appendix B 40
     Reference 47
zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0913525021en_US
dc.subject (關鍵詞) 區間票息債券zh_TW
dc.subject (關鍵詞) Range Accrual Notesen_US
dc.subject (關鍵詞) Compound-Poisson jumpen_US
dc.subject (關鍵詞) Hedging Strategyen_US
dc.title (題名) 跨國經濟體系下Quanto Range Accrual Notes的評價與避險zh_TW
dc.title (題名) Pricing and Hedging of Quanto Range Accrual Notes under Gaussian HJM with Cross- Currency Levy Processesen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) 1.Bates, D. S. (1996). Jumps and stochastic volatility: Exchange rate processes implicit in deutsche mark options. Review of Financial Studies, 9, 69-107.zh_TW
dc.relation.reference (參考文獻) 2.Bates, D. S. (2000). Post-’87 crash fears in the S&P 500 futures option market. Journal of Econometrics, 94, 181-238.zh_TW
dc.relation.reference (參考文獻) 3.Björk, T., Kabanov, Y., & Runggaldier, W. (1997). Bond market structure in the presence of marked point processes. Mathematical Finance, 7(2), 211-223.zh_TW
dc.relation.reference (參考文獻) 4.Brace, A., Gatarek, D. & Musiela, M. (1997). The Market Model of Interest Rate Dynamics. Mathematical Finance, 7, 127-147.zh_TW
dc.relation.reference (參考文獻) 5.Carr, P., & Madan, D. B. (1999). Option valuation using the fast Fourier transform. Journal of Computational Finance, 2, 61-73.zh_TW
dc.relation.reference (參考文獻) 6.Cox, J. C., Ingersoll. J. E. & Ross, S. A. (1985). A Theory of the Term Structure of Interest Rates. Econometrica, 53(2), 385-408.zh_TW
dc.relation.reference (參考文獻) 7.Cont, R., & Tankov, P. (2004). Financial modelling with jump processes. CRC Press.zh_TW
dc.relation.reference (參考文獻) 8.Das, S. R. (1995). Jump-Diffusion processes and the bond markets. Working paper, Santa Clara University.zh_TW
dc.relation.reference (參考文獻) 9.Das, S. R. (2002). The surprise element: Jumps in interest rates. Journal of Econometrics, 106, 27-65.zh_TW
dc.relation.reference (參考文獻) 10.Driessen, J., Klaassen, P., & Melenberg, B. (2000). The performance of multi-factor term structure models for pricing and hedging caps and swaptions. Working paper, Tilburg University.zh_TW
dc.relation.reference (參考文獻) 11.Dwyer, G. P., & Hafer, R. W. (1989). Interest rates and economic announcements. Technical report, Federal Reserve Bank of St. Louis.zh_TW
dc.relation.reference (參考文獻) 12.Eberlein, E., & Raible, S. (1999). Term structure models driven by general Levy processes. Mathematical Finance, 9, 31-53.zh_TW
dc.relation.reference (參考文獻) 13.Eberlein, E., & Ozkan, F. (2005). The Levy Libor model. Finance and Stochastic, 9, 372-348.zh_TW
dc.relation.reference (參考文獻) 14.Eberlein, E., & Kluge, W. (2006). Valuation of floating range notes in Levy term-structure models. Mathematical Finance, 16(2), 237-54.zh_TW
dc.relation.reference (參考文獻) 15.Gibson, R., & Schwartz, E. S. (1990). Stochastic Convenience Yield And the Pricing of Oil Contingent Claims. Journal of Finance, 45(3), 959-976.zh_TW
dc.relation.reference (參考文獻) 16.Glasserman, P., & Kou, S. G. (2003). The term structure of simple forward rates with jump Risk. Mathematical Finance, 13(3), 383-410.zh_TW
dc.relation.reference (參考文獻) 17.Hardouvelis, G. A. (1988). Economic news, exchange rates and interest rates. Journal of International Money and Finance, 7(1), 23-35.zh_TW
dc.relation.reference (參考文獻) 18.Heston, S. L. (1995). A model of discontinuous interest rate behaviour, yield curves and volatility. Working Paper, University of Maryland.zh_TW
dc.relation.reference (參考文獻) 19.Huang, S.C., & Hung, M. W. (2005). Pricing foreign equity options under Levy processes. The Journal of Futures Markets, 25 (10), 917-944.zh_TW
dc.relation.reference (參考文獻) 20.Hull, J. & White, A. (1990). Pricing Interest Rate Derivative Securities. Review of Financial Studies. 3, 573-592.zh_TW
dc.relation.reference (參考文獻) 21.Jarrow, R. A., & Turnbull, S. M. (1994). Delta, gamma and bucket hedging of interest rate derivatives. Applied Mathematical Finance, 1, 21-48.zh_TW
dc.relation.reference (參考文獻) 22.Jiang, G. J. (1998). Jump-Diffusion Model of Exchange Rate Dynamics Estimation Via Indirect Inference. Issues in Computational Economics and Finance, edited by S. Holly and S. Greenblatt, Amsterdam: Elsevier.zh_TW
dc.relation.reference (參考文獻) 23.Johnson, G. & Schneeweis, T. (1994). Jump-Diffusion Processes in the Foreign Exchange Markets and the Release of Macroeconomic News. Computational Economics, 7, 309-329.zh_TW
dc.relation.reference (參考文獻) 24.Jorion, P. (1988). On Jump Processes in the Foreign Exchange and Stock Markets. Review of Financial Studies, 1, 427-445.zh_TW
dc.relation.reference (參考文獻) 25.Koval, N. (2005). Time-inhomogeneous Lévy processes in cross-currency market models. Dissertation. Universität Freiburgzh_TW
dc.relation.reference (參考文獻) 26.Merton, R. C. (1976). Option pricing when underlying stock returns are discontinuous. Journal of Financial Economics, 3, 125-144.zh_TW
dc.relation.reference (參考文獻) 27.Naik, V., & Lee, M. (1990). General equilibrium pricing of options on the market portfolio with discontinuous returns. Review of Financial Studies, 3, 493-521.zh_TW
dc.relation.reference (參考文獻) 28.Navatte, P., & Quittard-Pinon, F. (1999). The valuation of interest rate digital options and range notes revisited. European Financial Management, 5(3), 425-440.zh_TW
dc.relation.reference (參考文獻) 29.Nunes, J. P. V. (2004). Multifactor valuation of floating range notes. Mathematical Finance, 14(1), 79-97.zh_TW
dc.relation.reference (參考文獻) 30.Park, K., Kim, M. & Kim, S. (2006). On Monte Carlo Simulation for the HJM Model Based on Jump. Lecture Notes in Computer Science, 38-45.zh_TW
dc.relation.reference (參考文獻) 31.Raible, S. (2000). Lévy processes in finance: theory, numerics, and empirical Facts. Dissertation. Universität Freiburgzh_TW
dc.relation.reference (參考文獻) 32.Reiner, E. (1992). Quanto mechanics. Risk, 5(3), 59-63.zh_TW
dc.relation.reference (參考文獻) 33.Shirakawa, H. (1991). Interest rate option pricing with Poisson-Gaussian forward rate curve processes. Mathematical Finance, 1(4), 77-94.zh_TW
dc.relation.reference (參考文獻) 34.Strickland, C. (1996). A Comparison of Models of the Term Structure. Journal of European Finance, 2, 261-287.zh_TW
dc.relation.reference (參考文獻) 35.Takahashi, A., Takehara, K. & Yamazaki, A. (2006). Pricing Currency Options with a Market Model of Interest Rates under Jump-Diffusion Stochastic. CIRJE Discussion Papers.zh_TW
dc.relation.reference (參考文獻) 36.Turnbull, S. (1995). Interest rate digital options and range notes. Journal of Derivatives, 3(2), 92-101.zh_TW
dc.relation.reference (參考文獻) 37.Vasicek, O. (1977). An equilibrium characterization of the term structure. Journal of financial Economics, 5, 177-188.zh_TW
dc.relation.reference (參考文獻) 38.Zhang, B. (2006). A new Levy based short rate model for the fixed income market and its estimation with particle filter. Dissertation. University of Maryland.zh_TW