| dc.contributor.advisor | 陳松男 | zh_TW |
| dc.contributor.advisor | Chen,Son-Nan | en_US |
| dc.contributor.author (Authors) | 吳庭斌 | zh_TW |
| dc.contributor.author (Authors) | wu,Ting-Pin | en_US |
| dc.creator (作者) | 吳庭斌 | zh_TW |
| dc.creator (作者) | wu,Ting-Pin | en_US |
| dc.date (日期) | 2006 | en_US |
| dc.date.accessioned | 14-Sep-2009 09:35:41 (UTC+8) | - |
| dc.date.available | 14-Sep-2009 09:35:41 (UTC+8) | - |
| dc.date.issued (上傳時間) | 14-Sep-2009 09:35:41 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0923525011 | en_US |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/31242 | - |
| 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) | 92352501 | zh_TW |
| dc.description (描述) | 95 | zh_TW |
| dc.description.abstract (摘要) | 本論文第一章將 LIBOR 市場模型加入股價動態，並求出其風險中立過程下的動態模型，並利用此模型評價股籌交換契約。第二章將 LIBOR 市場模型擴展成兩國的市場模型，加入兩國股價動態，並求出風險中立過程下的動態模型，並利用此模型評價跨國股籌交換契約。本論文第二部份說明如何實際使用此模型，並使用蒙地卡羅模擬檢驗此評價模型的正確性。 | zh_TW |
| dc.description.abstract (摘要) | This thesis includes two main chapters. Chapter 2 is entiled as "Equity Swaps in a LIBOR Market Model" and Chapter 3 is entitled as "Cross-Currency Equity Swaps in a LIBOR Market in a Model". The conclusions of this thesis are made in Chapter 4. In Chapter 2, we extends the BGM (Brace, Gatarek and Musiela (1997))interest rate model (the LIBOR market model) by incorporating the stock price dynamics under the martingale measure. As compared with traditional interest rate models, the extended BGM model is easy to calibrate the model parameters and appropriate for pricing equity swaps. The general framework for pricing equity swaps is proposed and applied to the pricing of floating-for-equity swaps with either constant or variable notional principals. The calibration procedure and the practical implementation are also discussed. In Chapter 3, under the arbitrage-free framework of HJM, we simultaneously extends the BGM model (the LIBOR market model) from a single-currency economy to a cross-currency case and incorporates the stock price dynamics under the martingale measure. The resulting model is very general for pricing almost every kind of (cross-currency) equity swaps traded in OTC markets. The calibration procedure and the hedging strategies are also provided in this paper for practical operation. The pricing formulas of the equity swaps with either a constant or a variable notional principal and with hedged or un-hedged exchange rate risk are derived and discussed as examples. | en_US |
| dc.description.tableofcontents | Contents 1. Introduction --------------------------------------------------------------- 1 1.1. Traditional Interest Rate Models ---------------------------------- 2 1.1.1. Vasicek model (1977) ---------------------------------------- 3 1.1.2. Hull and White (1990, HW) --------------------------------- 3 1.1.3. Heath, Jarrow and Morton (1992, HJM) ------------------- 4 1.2. Market Models ------------------------------------------------------ 6 1.2.1. The LIBOR Market Model (LMM) ------------------------- 6 1.2.2. The Swap Market Model (SMM) --------------------------- 7 1.3. The Thesis ------------------------------------------------------------ 8 2. Equity Swaps in a LIBOR Market Model --------------------------- 10 2.1. Introduction -------------------------------------------------------- 10 2.2. The Model ---------------------------------------------------------- 12 2.2.1. Step I : Arbitrage-free Extended HJM Model ------------ 13 2.2.2. Step II : The Arbitrage-Free Extended BGM Model ---- 18 2.3 Pricing Equity Swaps ---------------------------------------------- 22 2.3.1. Pricing Floating-for-Equity Swaps with a Constant Notional Principal ------------------------------------------------------- 22 2.3.2. Pricing Floating-for-Equity Swaps with Variable Notional Principal ------------------------------------------------------- 24 2.4. Calibration and Numerical Examples -------------------------- 26 Appendix A: Proof of Theorem 2.1 ---------------------------------- 30 Appendix B: Proof of Theorem 2.2 ---------------------------------- 32 Appendix C: Examining the Accuracy of the Approximation in Equation (B.4) -------------------------------------------- 37 3. Cross-currency Equity Swaps with LIBOR Market Model ------- 40 3.1. Introduction -------------------------------------------------------- 40 3.2. Arbitrage-free Extended HJM Model --------------------------- 43 3.3. Arbitrage-Free Extended BGM Model ------------------------- 51 3.4. Pricing Cross-Currency Equity Swaps -------------------------- 55 3.4.1 Pricing Hedged Cross-Currency Equity Swaps with a Constant Notional Principal (HCESC) ------------------------------- 55 3.4.2 Pricing Hedged Cross-Currency Equity Swaps with a Variable Notional Principal (HCESV) ------------------------------- 58 3.4.3 Pricing Unhedged Cross-Currency Equity Swaps with a Variable Notional Principal (UHCESV) ------------------ 60 3.5. Calibration Procedure --------------------------------------------- 62 Appendix D: Proof of Theorem 3.1 ---------------------------------- 66 Appendix E: Proof of Theorem 3.2 ----------------------------------- 71 Appendix F: Proof of Theorem 3.3 ----------------------------------- 75 4 Conclusions -------------------------------------------------------------- 80 Bibliography ---------------------------------------------------------------- 82 | zh_TW |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0923525011 | en_US |
| dc.subject (關鍵詞) | LIBOR 市場模型 | zh_TW |
| dc.subject (關鍵詞) | 利率衍生性商品 | zh_TW |
| dc.subject (關鍵詞) | 股籌交換 | zh_TW |
| dc.subject (關鍵詞) | LIBOR Market Model | en_US |
| dc.subject (關鍵詞) | Interest Rate Derivatives | en_US |
| dc.subject (關鍵詞) | Equity Swaps | en_US |
| dc.title (題名) | 利率衍生性商品之定價與避險：LIBOR 市場模型 | zh_TW |
| dc.title (題名) | Pricing and Hedging Interest Rate Options in a LIBOR Market Model | en_US |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | Amin, K. I., Jarrow, R. (1991). Pricing foreign currency | zh_TW |
| dc.relation.reference (參考文獻) | options under stochastic interest rates. | zh_TW |
| dc.relation.reference (參考文獻) | \\textit{Journal of International Money and Finance}, 10, 310-329.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Black, F. (1976). The pricing of commodity contracts. \\textit{Journal of | zh_TW |
| dc.relation.reference (參考文獻) | Financial Economics}, 3, 167-179.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Black, F., Scholes, M. (1973). The pricing of options and | zh_TW |
| dc.relation.reference (參考文獻) | corporate liabilities. \\textit{Journal of Political Economy}, 81, 637-654.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Brace, A., Dun, T.A., Barton, G. (1998). Towards a central | zh_TW |
| dc.relation.reference (參考文獻) | interest rate model. Paper presented at the \\textit{Conference Global Derivatives`98}.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Brace, A., Gatarek, D., Musiela, M. (1997). The market model of interest rate dynamics. \\textit{Mathematical Finance}, 7, 127-155.\\\ | 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 \\textit{ICBI Global Derivatives Conference}.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Brigo, D., Mercurio, F. (2001). \\textit{Interest Rate Models: Theory | zh_TW |
| dc.relation.reference (參考文獻) | and Practice}. New York: Springer-Verlag.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Chance, D. M., Rich, D. (1998). The pricing of equity swaps and swaptions. \\textit{Journal of Derivatives}, 5, 19-31.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Chang, C. C., Chung, S. L., Yu, M. T. (2002). Valuation and hedging | zh_TW |
| dc.relation.reference (參考文獻) | of differential swaps. \\textit{Journal of Futures Markets}, 22, | zh_TW |
| dc.relation.reference (參考文獻) | 73-94.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Harrison, J. M., Kreps, D. M. (1979). Martingales and arbitrage in multiperiod security markets. \\textit{Journal of Economic Theory}, 20, 381-408.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Harrison, J. M., S. Pliska (1981). Martingales and stochastic | zh_TW |
| dc.relation.reference (參考文獻) | integrals in the theory of continuous trading. \\textit{Stochastic Processes and Their Applications}, 11, 215-260.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Harrison, J. M., S. Pliska (1983). A stochastic calculus model of | zh_TW |
| dc.relation.reference (參考文獻) | continuous trading: complete markets, \\textit{Stochastic Proc. and | zh_TW |
| dc.relation.reference (參考文獻) | Applications}, 15, 313-316.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Heath, D., Jarrow, R. Morton A. (1992). Bond pricing and the term | zh_TW |
| dc.relation.reference (參考文獻) | structure of interest rates: A new methodology for contingent claim | zh_TW |
| dc.relation.reference (參考文獻) | valuations. \\textit{Econometrica}, 60, 77-105.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Hull, J. (2003). \\textit{Options, Futures and Other Derivatives.} | zh_TW |
| dc.relation.reference (參考文獻) | 5rd ed. New Jersey: Prentice-Hall.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Jamshidian, F. (1997). LIBOR and swap market models and measures. | zh_TW |
| dc.relation.reference (參考文獻) | \\textit{Finance and Stochastic}, 1, 293-330.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Jarrow, R., Turnbull, S. (1996). \\textit{Derivative Securities}. Cincinnati: South Western.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Kijima, M., Muromachi, Y. (2001). Pricing equity swaps in a stochastic interest rate economy. \\textit{Journal of Derivatives}, 8, 19-35.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Marshall, J., Sorensen, E., Tuncker, A. (1992). Equity derivatives: | zh_TW |
| dc.relation.reference (參考文獻) | The plain vanilla equity swap and its variants. | zh_TW |
| dc.relation.reference (參考文獻) | \\textit{Journal of Financial Engineering}, 1, 219-241.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Miltersen, K.R., Sandmann, K., Sondermann, D. (1997). Closed form | zh_TW |
| dc.relation.reference (參考文獻) | solutions for term structure derivatives with log-normal interest | zh_TW |
| dc.relation.reference (參考文獻) | rates. \\textit{The Journal of Finance}, 52, 409-430.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Musiela, M., Rutkowski, M. (1997). Continuous-time term structure | zh_TW |
| dc.relation.reference (參考文獻) | model: forward measure approach. \\textit{Finance and Stochastics}, | zh_TW |
| dc.relation.reference (參考文獻) | 4, | zh_TW |
| dc.relation.reference (參考文獻) | 261-292.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Rebonato, R. (1999). On the simultaneous calibration of multifactor | zh_TW |
| dc.relation.reference (參考文獻) | lognormal interest rate models to Black volatilities and to the | zh_TW |
| dc.relation.reference (參考文獻) | correlation matrix. \\textit{Journal of Computational Finance}, 2 (4), 5-27.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Rich, D. (1995). Note on the valuation and hedging of equity swaps. \\textit{Journal of Financial Engineering}, 3, 323-334.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Rogers, C. (1996). Gaussian errors. \\textit{Risk}, 9, 42-45.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Schlogl, E. (2002). A multicurrency extension of the lognormal | zh_TW |
| dc.relation.reference (參考文獻) | interest rate market models. \\textit{Finance and Stochastics}, 6, 173-196.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Shreve, S. E. (2004). \\textit{Stochastic Calculus for Finance II: Continuous-Time Models}. New York: Springer-Verlag.\\\ | zh_TW |
| dc.relation.reference (參考文獻) | Wang, M. C. Liao, S. L. (2003). Pricing models of equity swaps. | zh_TW |
| dc.relation.reference (參考文獻) | \\textit{Journal of Futures Markets}, 23, 751-772. | zh_TW |
