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    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/30921
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/30921


    Title: 結構型商品之評價—以浮動封頂利率連動債為例
    Authors: 游璧毓
    Contributors: 陳松男
    蔡紋琦

    游璧毓
    Keywords: 利率連動債券
    最小平方蒙地卡羅
    可贖回
    Date: 2007
    Issue Date: 2009-09-14
    Abstract: 為配合投資者的需求結構型商品日新月異其條款越來越複雜,結構型商品大致可分三類:股權、利率、信用。本文針對利率連動式債券做說明,先以最簡單的商品入門,再引導讀者進入較複雜的條款—提前贖回條款,以瞭解評價過程。
    本文採用Lognormal Forward-LIBOR model(LFM)利率模型,進行利率連動式債券進行相關的評價,由於可贖回的商品沒有封閉解,故利用數值方法來求得近似解,為了使誤差極小化,採用Lonstaff and Schwartz(2001)提出了最小平方蒙地卡羅法(Least-Square Monte Carlo),來處理具有可贖回特性的商品評價。
    此外,避險參數的部分,為了讓讀者對避險參數可迅速反應,本文均假設利率、波動度整條曲線上下同幅平移。

    關鍵字:利率連動債券、最小平方蒙地卡羅、可贖回
    Reference: 英文部分:
    [1] Brace, A., D. Gatarek and M. Musiela (1997). The Market Model of Interest Rate . Dynamics Mathematical Finance 7, 127-155.
    [2] Cox, J.C., Ingersoll, J.E., and Ross, S.A. (1985), A Theory of the Term Structure of Interest Rates, Econometrica 53, 385-407.
    [3] Damiano Brigo and Mercurio, Interest Rate Models Theory and Pratice.
    [4] Heath, D., Jarrow, R. and Morton, A. (1992), Bond Pricing and the Term Structure of Interest Rates: A New Mthodology, Econometrica 60, 77-105.
    [5] Ho, T.S.Y. and Lee, S.B. (1986), Term Structure Movements and the Pricing of Interest Rate Contingent Claims, The Journal of Finance 41, 1011-1029.
    [6] Hull, J., White, A.(1990a), Valuing Derivative Securities Using the Explicit Finite Difference Method, Journal of Financial and Quantitative Analysis 25, 87-100.
    [7] Hull, J., White, A.(1990b), Pricing Interest Rate Derivative Securities, The Review of Financial Studies 3, 573-592.
    [8] Jamshidian, F. (1997). LIBOR and Swap Market Models and Measures . Finance and Stochastics 1, 293-330.
    [9] Longstaff, F. and E. Schwartz (2001), Valuing American Option by Simulation: A Simple Least-Squares Approach. The Review of Financial Studies, Vol. 14, No.1, 113-147.
    [10] Piterbarg, V., (2003), A Practitioner`s Guide to Pricing and Hedging Callable Libor Exotics in Forward Libor Models, SSPN Paper.
    [11] Piterbarg, V., (2004), Pricing and Hedging Callable Libor Exotics in Forward Libor Models,Journal of Computational Finance, Vol.8, No.2, 65-117.
    [12] Vasicek, O. (1997), An Equilibrium Characterization of the Term Structure, Journal of Financial Economics 5,177-188.
    中文部分:
    [1] 陳松男(2006),利率金融工程學,新陸書局。
    [2] 陳妙津(2006),利用最小平方蒙地卡羅法評價百慕達式利率交換選擇權,政治大學,碩士論文。
    [3] 曹若玹(2006),可贖回雪球式商品的評價與避險,政治大學,碩士論文。
    [4] 蔡宗儒(2006),LIBOR新奇選擇權之評價—以最小平方蒙地卡羅法為例,政治大學,碩士論文。
    Description: 碩士
    國立政治大學
    統計研究所
    95354006
    96
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0095354006
    Data Type: thesis
    Appears in Collections:[統計學系] 學位論文

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