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允许卖空情况下证券投资组合的概率准则模型
Portfolio model of short selling with probability criterion
【摘要】 从概率角度出发,提出一种新型证券投资组合模型.该模型把实现预期收益的概率作为目标函数,使之达到最大.文中将概率准则模型与传统模型作对比分析,解释了该模型的现实意义.在允许卖空的市场条件下,使用优化方法给出了模型的最优解及目标函数的解析表达式,并给出数值算例.
【Abstract】 This paper develops a portfolio model to maximize the probability that the rate of return is no less than an expected rate of return. This paper also presents a comparative analysis between traditional models and this model, and explains its realistic meaning. Under the condition that short selling is permitted, this paper presents a method for determining the explicit representation of the optimal portfolio and the criterion function, and gives an illustrative example.
【关键词】 概率准则;
投资组合;
卖空;
预期收益率;
准则函数;
【Key words】 probability criterion; portfolio; short selling; expected rate of return; criterion function;
【Key words】 probability criterion; portfolio; short selling; expected rate of return; criterion function;
【基金】 国家自然科学基金资助项目(70171004);天津市自然科学基金资助项目(013602611).
- 【文献出处】 系统工程学报 ,Journal of Systems Engineering , 编辑部邮箱 ,2003年04期
- 【分类号】F830.9
- 【被引频次】22
- 【下载频次】262