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分数Vasicek利率模型下几种新型期权定价
引用本文:王媛媛,薛红.分数Vasicek利率模型下几种新型期权定价[J].哈尔滨商业大学学报(自然科学版),2014(5):621-625.
作者姓名:王媛媛  薛红
作者单位:西安工程大学理学院,西安,710048
基金项目:陕西省教育厅自然科学专项基金(12JK0862).
摘    要:假定股票价格过程服从分数跳-扩散过程,利率满足分数Vasicek利率模型,利用分数跳-扩散过程理论以及保险精算方法,讨论几种新型期权-欧式看涨幂型期权、欧式上封顶及下保底看涨幂型期权定价问题,获得了此类期权定价公式,将期权定价模型做了进一步推广.

关 键 词:期权定价  保险精算方法  分数跳-扩散过程  分数Vasicek利率模型

Pricing some exotic options under fractional Vasicek interest rate
WANG Yuan-yuan,XUE Hong.Pricing some exotic options under fractional Vasicek interest rate[J].Journal of Harbin University of Commerce :Natural Sciences Edition,2014(5):621-625.
Authors:WANG Yuan-yuan  XUE Hong
Institution:(School of Science, Xi' an Polytechnic University, Xi' an 710048, China)
Abstract:This paper assumed that stock price process obeyed fractional jump -diffusion process, and interest rate satisfied the fractional Vasicek model .Some exotic options inclu-ding power option , cap option were discussed , and the pricing formulae were obtained by the fractional jump -diffusion process theory and actuarial method .The option pricing model was generalized .
Keywords:option pricing  actuarial method  fractional jump-diffusion process  fractional Vasicek model
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