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    政大機構典藏 > 商學院 > 金融學系 > 學位論文 >  Item 140.119/31185
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/31185


    Title: 可贖回區間雪球型結構債之評價與風險管理
    Pricing and Risk Management of Callable Snow Range Note
    Authors: 高于晴
    Kao,Yu Ching
    Contributors: 廖四郎
    Liao,Szu-Lang
    高于晴
    Kao,Yu Ching
    Keywords: 市場模型
    最小平方蒙地卡羅
    風險管理
    參數校準
    BGM
    Quanto
    Sausage Monte Carlo
    Bucketed Delta
    Date: 2006
    Issue Date: 2009-09-14 09:29:41 (UTC+8)
    Abstract: 本研究使用Lognormal Forward LIBOR Model(LFM)利率模型,針對可贖回區間雪球型結構債進行評價與風險管理,一般評價可贖回商品常使用樹狀模型,但由於LFM模型在機率測度轉換後為非馬可夫隨機過程,樹狀之節點會以指數遞增且無法重合,故並不適用;此外,本商品計息方式為路徑相依型,無法求得其封閉解,因此本研究使用Longstaff and Schwartz(2001)所提出的最小平方蒙地卡羅法,來處理同時具有可贖回與路徑相依特性的商品評價與避險;至於結構債存續期間內之每日指標參考利率,本研究使用Brigo(2001)之漂移項內插法求算非標準期間遠期利率,以計算每季之應計配息與商品價格;最後,利用已拋捕的利率平價理論估計歷史遠期匯率,以模擬台幣計價之國外遠期利率動態,進而求算轉換為Quanto後之商品理論價值。

    此外,關於可贖回區間結構債的風險管理,由於本研究之商品價格函數不具有連續性,若在蒙地卡羅法之下直接使用重新模擬的方式來求算避險參數,其結果較不準確,而Piterbarg (2004)對於計算可贖回區間型利率商品之避險參數時,建議採用能使價格函數平滑化之Sausage Monte Carlo,故本研究分別對ㄧ般蒙地卡羅與Sausage Monte Carlo進行敏感度分析,而研究結果發現Sausage模擬法所計算之避險參數模擬標準差較小,其模擬結果較精準。
    Reference: 中文部份
    [1] 曹若玹,「可贖回雪球式商品的評價與避險」,國立政治大學,碩士論文,民國95年。
    [2] Philippe Jorion著,風險值,黃達業、張容容譯,台灣金融研訓院。
    英文部分
    [1] Brace, A., D. Gatarek and M. Musiela “The Market Model of Interest Rate” . Dynamics Mathematical Finance 7, p127-155,1997.
    [2] Brigo, D., “A Note on Correlation and Rank Reduction”,working paper,2002
    [3] Brigo, D. and F. Mercurio. Interest Models, Theory and Practice , Springer-Verlag , 2001.
    [4] Glasserman, P., Monte Carlo Method in Financial Engineering, New York,Springer,2004.
    [5] Glasserman, P., and X., Zhao.“Fast Greeks by Simulation in Forward LIBOR Models”, Journal of Computational Finance ,3:5-39,1999 .
    [6] Glasserman, P., and Yu, B. “Number of Paths Versus Number of Basis Functions in American Option Pricing”,Annuals of Applied Probability 14(4),2004.
    [7] London, Justin. “Modeling derivatives in C++ / Justin London”, Hoboken, N.J. ,J. Wiley, c2005
    [8] Longstaff, F. and Schwartz, E. “Valuing American Options by Simulation: A Simple Least-Squares Approach”, The Review of Financial Studies, Vol. 14, No.1, pp. 113-147,2001.
    [9] Musiela, Marek, Martingale methods in financial modelling, Berlin ; New York : Springer, c1997
    [10] Piterbarg.V.V. “A Practioner’s Guide to Pricing and hedging Callable Libor Exotics in Forward Libor Models”,SSRN Working Paper,2003.
    [11] Piterbarg.V.V. “Computing Deltas of Callable Libor Exotics in Forward Libor Models”,Journal of Computational Finance 7(3),p107-144,2004
    [12] Piterbarg.V.V. “Pricing and Hedging Callable Libor Exotics in Forward Libor Models”, Journal of Computational Finance 8(2),p65-117,2004.
    [13] Roberto,K. Structured products : a complete toolkit to face changing financial markets, John Wiley & Sons Ltd,2002.
    [14] Rebonato, R. Volatility and Correlation: In the Pricing of Equity, FX and Interest-Rate Options, John Wiley & Sons Ltd., West Sussex,1999.
    [15] Shreve, S. Stochastic Calculus for Finance II, Springer-Verlag, New York.,2004.
    [16] Svoboda, S. Interest Rate Modelling, Palgrave Macmillan, New York,2004.
    Description: 碩士
    國立政治大學
    金融研究所
    94352018
    95
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0094352018
    Data Type: thesis
    Appears in Collections:[金融學系] 學位論文

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