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依概率可达未定权益的定价
引用本文:张鸿雁,李茂盛,韩素红.依概率可达未定权益的定价[J].广西科学,2008,15(3):274-277,281.
作者姓名:张鸿雁  李茂盛  韩素红
作者单位:中南大学数学科学与计算技术学院,湖南长沙,410083
基金项目:湖南省自然科学基金,中南大学校科研和教改项目
摘    要:应用统计方法得出美式未定权益的α-价格,并构造出它的一个最小套期保值策略,再根据美式未定权益的α-价格推导出依概率可达未定权益的公平价格公式,并用该公式求出一个单时段市场上依概率可达未定权益的公平价格.

关 键 词:未定权益  定价  公平价格  停时
收稿时间:2007/5/8 0:00:00
修稿时间:2008/1/23 0:00:00

Pricing Contingent Claims Attainable with Positive Probability
ZHANG Hong-yan,LI Mao-sheng and HAN Su-hong.Pricing Contingent Claims Attainable with Positive Probability[J].Guangxi Sciences,2008,15(3):274-277,281.
Authors:ZHANG Hong-yan  LI Mao-sheng and HAN Su-hong
Institution:School of Mathematical Science and Computing Technology, CSU, Changsha, Hunan, 410083, China,School of Mathematical Science and Computing Technology, CSU, Changsha, Hunan, 410083, China and School of Mathematical Science and Computing Technology, CSU, Changsha, Hunan, 410083, China
Abstract:Based on statistical analogies, the α- price of an American contingent claim is obtained,and a minimal hedge strategy is constructed.Enlightened by hedging the contingent claim in probability,we get the pricing formula of the contingent claim attainable in probability.At last we consider an example which is an one period model attainable in probability and get the fair price by this pricing formula,its special case is a non-attainable contingent claim.
Keywords:contingent claim  pricing  equity price  stopping time
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