OPTIMAL PORTFOLIO FOR A SMALL INVESTOR IN A MARKET MODEL WITH DISCONTINUOUS PRICES

被引:68
作者
JEANBLANCPICQUE, M [1 ]
PONTIER, M [1 ]
机构
[1] UNIV ORLEANS,DEPT MATHS INFO,F-45067 ORLEANS 2,FRANCE
关键词
D O I
10.1007/BF01447332
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A consumption-investment problem is considered for a small investor in the case of a market model in which prices evolve according to a stochastic equation with a jump-process component. The techniques we use include the martingale representation theorem, Lagrange multiplier methods, and Markovian methods for the resolution of stochastic differential equations. We establish a Black-Scholes formula. © 1990 Springer-Verlag New York Inc.
引用
收藏
页码:287 / 310
页数:24
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