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姓名 洪怡真(Yi-Chen Hung) 查詢紙本館藏 畢業系所 財務金融學系 論文名稱 亞式利率交換契約之評價:利用LIBOR Market Models
(Pricing Asian-Style Interest Rate SwapsUsing LIBOR Market Models)相關論文 檔案 [Endnote RIS 格式] [Bibtex 格式] [相關文章] [文章引用] [完整記錄] [館藏目錄] 至系統瀏覽論文 ( 永不開放) 摘要(中) 摘要
本文的目的是利用LIBOR Market Model來評價亞式利率交換契約,在亞式利率交換契約中,浮動利率支付的部分,主要運用LIBOR Market Model並在兩個連續的利率重設日,求得平均的浮動利率,我們算出平均的浮動利率,並比較標準的利率交換契約及兩種形式的亞式利率交換契約在不同參數變動下的變化情形,且發現利率期間結構的斜率及利率重設期間的長度,是影響標準的利率交換契約及亞式利率交換契約差異的很重要的因素。摘要(英) Abstract
This study uses the LIBOR Market Model to price Asian-style interest rate swaps. In an Asian-style interest rate swap contract, the floating payment is determined by the average LIBOR rate between two consecutive settlement dates under the LIBOR Market Model. We deal with the average LIBOR rates and compare two types of Asian-style interest rate swaps and standard interest rate swaps with different sets of interest rate parameters. We find out that the shape of the initial term structure and the reset periods of the interest rate swap are important factors to make the swap rates of the Asian-style and standard interest rate swaps different.關鍵字(中) ★ 利率模型
★ 亞式
★ 交換契約關鍵字(英) ★ Asian style
★ Swap
★ LIBOR Market Model論文目次 Contents
1. Introduction………………………………………………………………1
2. Literature Review………………………………………………………2
3. The Model…………………………………………………………………5
3.1 The LIBOR Market Model………………………………………………5
3.1.1 The LIBOR Dynamic Process…………………………………………6
3.1.2 The Terminal Measure……… … ……………… …………………7
3.1.3 LIBOR Rate Resetting Under Non-Standard Expiry-Maturity…8
3.2 The Standard Interest Rate Swap……………………………………9
3.3 Asian-Style Interest Rate Swap………………………… …………10
3.3.1 Type 1-Asian-Style Interest Rate Swap…………………………10
3.3.2 Type 2-Asian-Style Interest Rate Swap…………………………12
4. Numerical Results………..……………………………………………13
5. Conclusions and Future Research……………………………………15
Reference…………………………………………………………….………17
Appendix……………………………………………………………19
List of Figures
Figure 1…………………………………………………………………20
Figure 2…………………………………………………………………20
Figure 3…………………………………………………………………21
Figure 4…………………………………………………………………22
Figure 5…………………………………………………………………22
Figure 6…………………………………………………………………23
Figure 7…………………………………………………………………24
Figure 8…………………………………………………………………24
Figure 9…………………………………………………………………25
Figure 10……………………………………………………………….26
Figure 11……………………………………………………………….26
Figure 12 ………………………………………………………………27
List of Table
Table 1………………………………………………………………..…28
Table 2……………………………………………………………..……28
Table 3…………………………………………………………..………28
Table 4…………………………………………………………..………29
Table 5…………………………………………………………..………29
Table 6…………………………………………………………..………29
Table 7…………………………………………………………..………30
Table 8…………………………………………………………..………30
Table 9…………………………………………………………..………30
Table 10…………………………………………………………………31
Table 11…………………………………………………………………31
Table 12 …………………………………………………...……………31參考文獻 Reference
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BRACE, A., and M. MUSIELA (1994a): “A Multifactor Gauss-Markov Implementation of Heath, Jarrow and Morton,” Math Finance, 2, 259-283.
Brigo. Mercurio, “ Damano Brigo Fabio Mercurio,” 2001.
Chance, Don M, and Don R. Rich “Asset Swaps With Asian-style Payoffs.” The Journal of Derivatives, Summer 1996, pp. 64-77.
Chang. C.C and S.L. Chung (2002), “Pricing Asian Style Interest Rate Swaps,” The Journal of Derivatives, pp. 45-55.
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Goldy, B., M. MUSIELA, and D. SONDERMANN. (1994): “Lognormality of Rates and Term Structure Models,” pre-print, The University of NSW.
Kemna, A.G.Z., and A.C.F. Vorst. “A Pricing Method for Options Based on Average Asset Values.” Journal of Banking and Finance, 14 (1990), pp. 113-124.
Levy, Edmond. “Pricing European Average Rate Currency Options.” Journal of International Money and Finance, 11 (1992), pp. 474-491.
Longstaff, Francis A. “Hedging Interest Rate Risk With Options on Average Rates.” The Journal of Fixed Income, March 1995, pp. 789-819.
Longstaff, Francis A., and Eduardo S. Schwartz. “A Simple Approach to Valuing Risky Fixed and Floating Rate Debt. ” Journal of Finance, July 1995, pp. 789-819.
Miltersen, K., K. Sandmann, and D.Songermann. (1995). “Closed Form Solutions for Term Structure Derivatives with Log-Normal Interest Rates, ”pre-print, University of Bonn.
Musiela, M. (1995): “General Framework for Pricing Derivative Securities,“ Stoch. Process Appl., 55, 227-251.
Rogers, L., and Z. Shi. “The Value of An Asian Options.” Journal of Applied Probability, 32 (1995), pp. 1077-1088.指導教授 張傳章(Chuang-Chang Chang) 審核日期 2006-1-17 推文 facebook plurk twitter funp google live udn HD myshare reddit netvibes friend youpush delicious baidu 網路書籤 Google bookmarks del.icio.us hemidemi myshare