东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2007, Vol. 28 ›› Issue (1): 137-140.DOI: -

• 论著 • 上一篇    下一篇

基于线性矩阵不等式的贷款组合鲁棒优化模型

高莹;黄小原;李意鸥;   

  1. 东北大学工商管理学院;东北大学工商管理学院;浙江大学竺可桢学院 辽宁沈阳110004;辽宁沈阳110004;浙江杭州310058
  • 收稿日期:2013-06-27 修回日期:2013-06-27 出版日期:2007-01-15 发布日期:2013-06-24
  • 通讯作者: Gao, Y.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(70572088);;

LMI-based robust optimization model of loan portfolio

Gao, Ying (1); Huang, Xiao-Yuan (1); Li, Yi-Ou (2)   

  1. (1) School of Business Administration, Northeastern University, Shenyang 110004, China; (2) Chukechen College, Zhejiang University, Hangzhou 310058, China
  • Received:2013-06-27 Revised:2013-06-27 Online:2007-01-15 Published:2013-06-24
  • Contact: Gao, Y.
  • About author:-
  • Supported by:
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摘要： 运用线性矩阵不等式方法,研究了商业银行贷款组合选择的鲁棒优化问题.在Markowitz均值-方差理论基础上,建立了贷款组合鲁棒优化模型,并用多个期望收益向量和协方差矩阵描述未来贷款收益的不确定性,给出了线性矩阵不等式的求解方法.用数值仿真验证了模型的有效性.由于模型考虑了未来贷款收益的不确定性,得到了可靠性较高的结果.研究结果表明,该模型具有鲁棒性,可以有效降低贷款风险,并可为商业银行提供贷款决策依据.

关键词: 鲁棒优化, 贷款组合, 线性矩阵不等式, 不确定性, 收益

Abstract: Linear matrix inequality (LMI) is used to study the robust optimization for commercial banks' loan portfolio. Based on Markowitz theory of mean-variance, a robust optimization model is developed for loan portfolio, and the uncertainty of prospectful return on loans is described by several expected return vectors and covariance matrices, to give a LMI solution to the model. A numerical simulation proves the validity of the model. Because in the model the uncertainty of prospectful return on loans has been involved, the result is highly reliable and robust to reduce the credit risk. So, the model may provide a reference for commercial banks to make decision on loans.

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