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題名:結構型商品之評價分析:應用最小平方蒙地卡羅模擬法
書刊名:期貨與選擇權學刊
作者:張傳章 引用關係王守平
作者(外文):Chang, Chung-changWang, Shou-ping
出版日期:2011
卷期:4:1
頁次:頁1-34
主題關鍵詞:最小平方蒙地卡羅模擬法結構型商品美式選擇權Least-squares Monte Carlo simulation approachStructured notesAmerican options
原始連結:連回原系統網址new window
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  • 被引用次數被引用次數:期刊(0) 博士論文(0) 專書(0) 專書論文(0)
  • 排除自我引用排除自我引用:0
  • 共同引用共同引用:4
  • 點閱點閱:39
本文研究使用蒙地卡羅模擬法,分析結構型商品的績效與增進美式選擇權定價時之精確度。Longstaff and Schwartz (2001)最小平方蒙地卡羅模擬法廣泛應用至複雜之衍生性商品。然而,最佳之迴歸模型不易尋求,包括基底函數之種類,與基底函數次方項之選用。本論文首先將冪次多項式與最佳履約邊界值結合,成為修正後最佳履約決策。單資產結果顯示,當基底函數為二次多項式,有修正之最佳履約邊界法可減少10% RMSE。本文第二部份為個案分析,使用兩個蒙地卡羅模擬系統,以找尋認購權證之重設機率。最後個案為高受益票劵(ELN),藉由改變相關係數的個數、變動幅度與不同損益方式,以分析價格變化的趨勢。
The purpose of this research is to analyze the performance of structured notes and to improve the accuracy for pricing American options via Monte Carlo simulation. The least-squares Monte Carlo approach proposed by Longstaff and Schwartz (2001) claimed to price American options with complex derivatives. However, it seems difficult to apply this approach in choosing the optimal regression settings, including different basis functions and the degree of these basis functions. This paper first combines the power polynomials with optimal exercise boundary as modified optimal exercise rule. The results in the single asset imply that the modified rule with optimal exercise boundary can decrease nearly 10% RMSE when the basis function is square degree of power polynomials. The second part of this paper is case study. In order to find the reset probability for the call warrant, the two Monte Carlo simulation systems are used in this research. For the final ELN case, we analyzed the trend of price changes when changing the number and the amplitude of correlation factors together with different payoffs.
期刊論文
1.張森林、何振文(20021200)。蒙地卡羅模擬法在美式選擇權評價之應用。財務金融學刊,10(3),33-61。new window  延伸查詢new window
2.Longstaff, F. A.、Schwartz, E. A.(2001)。Valuing American options by simulation: A simple least-squares approach。Review of Financial Studies,14,113-147。  new window
3.Boyle, Phelim P.(1977)。Options: A Monte Carlo Approach。Journal of Financial Economics,4(3),323-338。  new window
4.Gray, S. F.、Whaley, R. E.(1999)。Reset Put Options: Valuation, Risk, Characteristics, and an Application。Australian Journal Management,24(1),1-20。  new window
5.林忠機、張傳章、俞明德、黃一仁(20060800)。具有隱含選擇權之海外可轉換公司債評價分析。財務金融學刊,14(3),35-68。new window  延伸查詢new window
6.王克陸、許明峰、遲廷峻(2008)。樹狀模式對美式亞式選擇權評價之比較分析。臺灣期貨與衍生性商品期刊,6,1-27。new window  延伸查詢new window
7.Andersen, L.、Broadie, Mark(2004)。Primal-Dual Simulation Algorithm for Pricing Multidimensional American Options。Management Science,50(5),1222-1234。  new window
8.Giovanni, B. A.、Whaley, R. E.(1987)。Efficient Analytic Approximation American Options Values。The Journal of Finance,42(2),301-320。  new window
9.Moreno, M.、Navas, J. F.(2003)。On the Robustness of Least-Squares Monte Carlo(LSM) for Pricing American Derivatives。Review of Derivatives Research,6,107-128。  new window
10.Rogers, L. C. G.(2002)。Monte Carlo Valuation of American Options。Mathematical Finance,12(3),271-286。  new window
學位論文
1.王守平(2010)。結構型商品之評價分析 : 應用最小平方蒙地卡羅模擬法(碩士論文)。國立中央大學。  延伸查詢new window
2.Ji, Kai-Yi(2008)。An Improved Least Squares Monte Carlo Approach for Pricing Various Types of Options。國立高雄第一科技大學。  new window
圖書
1.張焯然(2007)。財務工程與金融計算MATLAB的應用。臺北市。  延伸查詢new window
 
 
 
 
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