[1]赵巍.股价受分数布朗运动驱动的混合期权定价模型[J].南京师大学报(自然科学版),2010,33(01):6-10.
　Zhao Wei.Pricing of Compound Option Model With Stock Price Driven by FBM[J].Journal of Nanjing Normal University(Natural Science Edition),2010,33(01):6-10.
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股价受分数布朗运动驱动的混合期权定价模型()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第33卷
期数:
2010年01期
页码:
6-10
栏目:
数学
出版日期:
2010-03-20

文章信息/Info

Title:
Pricing of Compound Option Model With Stock Price Driven by FBM
作者:
赵巍;
淮海工学院商学院
Author(s):
Zhao Wei
School of Business,Huaihai Institute of Technology,Lianyungang 222001,China
关键词:
分数布朗运动;  拟鞅定价;  分数B lack-Scho les模型;  混合期权
Keywords:
fractiona l brown ian m otion;  quas-im arting ale pricing;  fractiona l B lack-Scho les mode; l compound option
分类号:
F830.91;F224
摘要:
分数布朗运动由于具有自相似和长期相关等分形特性,已成为数理金融研究中更为合适的工具.本文通过假定股票价格服从几何分数布朗运动,构建了It分数Black-Scholes市场;接着在分数风险中性测度下,利用随机微分方程和拟鞅(quasi-martingale)定价方法给出了分数Black-Scholes定价模型;进而讨论了股价受分数布朗运动驱动的混合期权定价模型.研究结果表明,与标准期权价格相比,分数期权价格要同时取决于到期日和Hurst参数.
Abstract:
The se l-f sim ilar ity and long- rang e dependence properties m ake the Frac tiona l B rown ian m otion a suitable too l in d ifferen t applications likem a them atical finance. Th is paper used the hypotheses that asse rt price follow ed geome tr ic FBM to construct the It? fractional B lack-Scholes m arket. U sing of quas-i m artinga lem ethod based on the fractiona l r isk neutra lm easure, this paper so lved fractiona l Black-Scho les m ode.l M oreove r pr ic ing of com pound option mode l w ith stock pr ice dr iven by FBM w as discussed. The result show ed frac tiona l option pr ice, compared to c lassical option price, depends on m atur ity tim e and H urst parameter.

参考文献/References:

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[ 10]刘韶跃, 杨向群. 分数布朗运动环境中欧式未定权益的定价[ J] . 应用概率统计, 2004, 20( 11) : 429-434.
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相似文献/References:

[1]赵巍.分数布朗运动环境下降低权利金的权证定价研究[J].南京师大学报(自然科学版),2012,35(03):11.
　Zhao Wei.Research on Pricing of Depressed Option Stock Under Fractional Brownian Motion Environment[J].Journal of Nanjing Normal University(Natural Science Edition),2012,35(01):11.

备注/Memo

备注/Memo:
基金项目: 淮海工学院引进人才科研启动基金( KQ09012) .
通讯联系人: 赵 巍, 博士, 讲师, 研究方向: 金融复杂性和金融工程. E-mail:njzhaow@126.com
更新日期/Last Update: 2013-04-08