期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
随机利率下股票价格服从几何分数布朗运动的幂期权定价
- 河北师范大学 数学与信息科学学院, 河北 石家庄 050024
-
DOI：10.11826/j.issn.1000-5854.2014.02.002
The Power Option Pricing Under the Fractional Brownian Motion and Ho-Lee Model
摘要/Abstract
摘要：
在标的资产价格服从分数布朗运动的假设下，并且在利率为Ho-Lee模型下，推导出了随机利率下幂期权的定价公式，从而推广了以前的结果.
Abstract：
On the condition that the asset price process drived by a combination of fractional Brownian motion and Ho-Lee model,we deduced the power option pricing formulas, which contained the results of the previous articles.
关键词
Key words：
fractional Browian motion
;
power option
;
Ho-Lee model
;
stochastic interest rate
参考文献 11
- [1] BLACK F,SCHOLES M.The Pricing of Options and Corporate Liabilities [J].Journal of Political Economy,1973,81(3):637-659.
- [2] ROBERT J E.Leunglung Chan Perpetual Amerian Option with Fractional Brownian Motion [J].Quantitative Finance,2003,4(2):123-128.
- [3] 刘韶跃.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(4):429-434.
- [4] CIPROAN N.Barrier Option and a Reflection Principle of the Fractional Brownian Motion.Bucharest:Academy of Economic Studies 02 15]http://www.dofin.ase.ro/worhing% 20 papers/ciprian% 20Necula/opfbm.pdf.
- [5] 周银,杜雪樵.分数布朗运动下的亚式期权定价 [J].合肥工业大学学报:自然科学版,2011,34(2):317-320.
- [6] 刘海媛,周圣武.标的资产价格服从分数布朗运动的几种新型期权定价 [J].数学的实践与认识,2008,38(15):54-59.
- [7] 何成洁.分数布朗运动环境下幂型支付的期权定价公式 [J].合肥工业大学学报:自然科学版,2009,32(6):924-926.
- [8] HO T S Y,LEE S-B.Term Structure Movements and Pricing Interest Rate Contingent Claims [J].Journal of Finance,1986,41(5):1011-1029.
- [9] HU Y,KSENDAL B.Fractional White Noise and Applictions to Fianace [J].Infinite Dimensional Analysis,2003,1(6):1-32.
- [10] DRAVID A,RICHARDSON M,SUN T.Pricing Foreign Index Contingent Claims:An Application to Nikikei Index Warrants [J].The Journal of Derivatives,1993,12(6):33-51.
- [11] CIPRIAN N.Option Pricing in a Fractional Brownian Motion Enviroment.Bucharest:Academy of Economic Studies 02 15]http://www.dofin.ase.ro/worhing% 20 papers/ciprian% 20Necula/opfbm.pdf.