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Mean-Variance Hedging for General Claims in an Incomplete Market: Numeraire Method
引用本文:王桂兰,叶中行.Mean-Variance Hedging for General Claims in an Incomplete Market: Numeraire Method[J].上海交通大学学报(英文版),2003,8(2):175-178.
作者姓名:王桂兰  叶中行
作者单位:Dept.ofMathematics,ShanghaiJiaotongUniv.,Shanghai200030,China
基金项目:National Natural Science Foundation ofChina( 10 1710 66) and Shanghai Key Project( 0 2 DJ14 0 63 )
摘    要:This paper considered the problem of hedging a European call (put) option for a diffusion model where the asset price is influenced by n uncertain factors. The market is thus incomplete implying that perfect hedging is not possible. To derive a hedging strategy, it follows the approach based on the idea of hedging under a mean-vari-ance criterion suggested by Schweizer. A very simple solution of this hedging problem by using the numeraire method was presented and some examples with explicit solutions were given.

关 键 词:套期保值  平均误差  赔偿金  权利要求  不完全市场买卖  货币汇率  资本资产定价模型

Mean-Variance Hedging for General Claims in an Incomplete Market: Numeraire Method
WANG Gui-lan ,YE Zhong-xing.Mean-Variance Hedging for General Claims in an Incomplete Market: Numeraire Method[J].Journal of Shanghai Jiaotong university,2003,8(2):175-178.
Authors:WANG Gui-lan  YE Zhong-xing
Institution:Dept. of Mathematics, Shanghai Jiaotong Univ., Shanghai 200030, China
Abstract:This paper considered the problem of hedging a European call (put) option for a diffusion model where the asset price is influenced by n uncertain factors. The market is thus incomplete implying that perfect hedging is not possible. To derive a hedging strategy, it follows the approach based on the idea of hedging under a mean-variance criterion suggested by Schweizer. A very simple solution of this hedging problem by using the numeraire method was presented and some examples with explicit solutions were given.
Keywords:Mean-variance hedging  incomplete market  numeraire  European options
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