数理金融的研究及其发展

被引:3
作者
费为银
吴让泉
机构
[1] 安徵机电学院基础部,中国纺织大学基础部,安徵省芜湖市
关键词
数理金融; 最优消费与投资; 随机微分方程; 随机控制;
D O I
暂无
中图分类号
F224.0 [数量经济学];
学科分类号
020209 ;
摘要
数理金融的研究自六十年代以来一直非常活跃.本文概述了数理金融研究的三个阶段及各阶段的主要代表人物和他们的一些研究成果与方法,尤其对国外最优消费投资模型研究的动态作了具体阐述.最后简略介绍了我国数理金融的研究动态.
引用
收藏
页码:37 / 41+58 +58
页数:6
相关论文
共 18 条
[1]  
Martingales and stochastic integrals in the theory of continuous trading. Harrison M J,Pliska S R. Stochastic Processes and Their Applications . 1981
[2]  
An optimal investment-consumption model with borrowing. Fleming W H,Zariphopoulou T. Mathematics of Operations Research . 1991
[3]  
Optimal consumption and protfolio policies when asset price follow a diffusion process. Cox J,Huang C F. Journal of Economic Theory . 1989
[4]  
Martingale measures for discrete-time processes widi infinite horizon. Schachermayer W. Mathematical Finance . 1994
[5]  
Martingales and arbitrage in multiperiod securites markets. Harrison M J,Kerps D M. Journal of Economic Theory . 1979
[6]  
A general stochastic maximum principle for optimal control problems. Peng S. The SIAM Journal on Control and Optimization . 1990
[7]  
Brownian motion and stochastic calculus. Karatzas I,Shreve S. . 1988
[8]  
Determincstic and stochastic optimal control. Fleming W H,Rishel R W. . 1975
[9]  
Lifetime portfolio selection under uncertainty:The continuous time case. Merton R. The Review of Economics and Statistics . 1969
[10]  
Option pricing:A simplified approach. Cox J,Ross S,Rubinstein M. The Journal of Finance . 1979