债务固定的公司最优生存策略

杨昭军;李致中

系统工程理论与实践 ›› 2000, Vol. 20 ›› Issue (5) : 54-57.

PDF(162 KB)
PDF(162 KB)
系统工程理论与实践 ›› 2000, Vol. 20 ›› Issue (5) : 54-57. DOI: 10.12011/1000-6788(2000)5-54
论文

债务固定的公司最优生存策略

    杨昭军(1)(2),李致中(1)
作者信息 +

The Survival Strategies for a Company with Fixed Liabilities

    Zhao Jun YANG(1)(2),Zhi Zhong LI(1)
Author information +
文章历史 +

摘要

在数理金融分析中,通常在存、贷款利率相同的条件下讨论投资者的最优决策问题.实际上存贷利率总有差异对此,本文假设贷款利率高于存款利率,讨论单位时间内必须偿还固定数量债务的负债公司最优生存策略问题,得到最优策略是公司当前财富净值的分段线性函数.通过比较,可看出利率差异对投资者行为的具体影响,该影响是不可忽视的.

Abstract

In mathematical financial analysis, the issues on the optimal strategies of investors are normally treated in the assumption of the identical interest rate on savings and loans. The saving and loan rates, however, vary in reality. Hence, we assume that loan rate is higher than saving rate, and deal with the issue on the survival strategies for a company which must withdraw funds continuously at a given rate per unit time. We have acquired optimal policy which is the pathwise linear function of the company's...

关键词

证券 / 组合选择 / 存贷利率差 / 受控扩散过程 / 随机控制

Key words

security / portfolio theory / the rate difference on savings and loan / controlled diffusion process / stochastic control

引用本文

导出引用
杨昭军 , 李致中. 债务固定的公司最优生存策略. 系统工程理论与实践, 2000, 20(5): 54-57 https://doi.org/10.12011/1000-6788(2000)5-54
Zhao Jun YANG , Zhi Zhong LI. The Survival Strategies for a Company with Fixed Liabilities. Systems Engineering - Theory & Practice, 2000, 20(5): 54-57 https://doi.org/10.12011/1000-6788(2000)5-54
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