广东工业大学学报 ›› 2012, Vol. 29 ›› Issue (1): 83-87.

• 可拓论坛 • 上一篇    下一篇

不确定收益率下投资组合的可拓评价及变换

  

  1. 1.烟台大学 数学与信息科学学院,山东 烟台 264000; 2.大连海事大学 专业学位教育学院, 辽宁 大连 116622
  • 出版日期:2012-03-25 发布日期:2012-03-25
  • 作者简介:王伟(1977-),男,讲师,主要研究方向为金融系统工程、可拓工程.

Extension Evaluation and Transformation of the Stock under Uncertain Profit Rates

  1. 1.Department of Mathematics and Information Science, Yantai University, Yantai 264000, China;
     2.School of Special Degree Education, Dalian Maritime University, Dalian 116622, China
  • Online:2012-03-25 Published:2012-03-25

摘要: 在现实证券市场中,由于市场的波动及经济现象本身的不可控性以及人的主观对收益的预期和风险的承受度不同,导致预期收益率和实际收益率往往具有不可控性,难于用精确值量化.本文运用可拓学理论,对投资组合中超出风险范围的证券,通过建立证券评价选优的物元模型,设计出一套刻画股票特征的指标,设定衡量指标的权系数,计算各证券的满意度,并提出了进行投资组合变换的方法.

关键词: 投资组合;物元模型;可拓评价;可拓变换

Abstract: With the fluctuation of the stock market, uncontrollable economy, people's different expectations of profit rates and their different degrees of endurance against risk, stock investment has uncertainty. Because of the uncertainty of expected profit rate and practical yield, it is difficult to measure accurately the profit rate.  Regarding the dissatisfactory stock, it built the matterelement model of investment portfolio, designed some index of stock characters, fixed the power quotiety of scale index, calculated satisfaction degree of stock, and proposed the method to transform investment portfolio.  

Key words: investment portfolio; matter-element model; extension evaluation; extension transformation

[1] Markweiz H.Portfolio selection[J]. Journal of Finance,1952(7):77-91.

[2] Cai X Q,Teo K L,Yanx Q, et al. Portfolio optimization under a minimax rule[J].Management Science,2000,46:957-972.

[3] 荣喜民,武丹丹,张奎廷.基于均值VaR的投资组合最优化[J].数理统计与管理,2005,25(5):69-77.

[4] 陈静,李磊,霓明放.含交易费用和机会约束的投资组合模型[J].广州大学学报:自然科学版,2008,7(6):30-33.

[5] Deng X T, Li Z F, Wang S Y. A minimax portfolio selection strategy with equilibrium[J]. European J Operation Research,2005,116:278-292.

[6] Carlsson C, Fuller R. On possibilistic mean yalue and varience of fuzzy numbers[J]. Fuzzy Sets and Systems,2001,122(2):315-326.

[7] 陈国华,陈收,房勇,等.基于模糊收益率的组合投资模型[J].经济数学,2006,23(1):19-25.

[8] 荣喜民,苏丽.有交易成本的模糊最优化投资[J].数学的实践与认识,2003,33(11):27-32.

[9] Wang X G ,Qiu W H,Dong J C. Portfolio selection model with fuzzy coefficients[J]. Fuzzy Systems and Mathematics,2006,20(2):109-118.

[10] 杨春燕,蔡文.可拓工程[M].北京:科学出版社,2007.

[11] Cai Wen. Extension theory and its application[J]. Chinese Science Bulletin,1999,44(17):1538-1548.

[12] 蔡文. 可拓集合和不相容问题[J]. 科学探索学报,1983(1):83-97.

[13] 杨春燕. 事元及其应用[J].系统工程理论与实践, 1998,18(2):80-86.

[14] 蔡文. 物元分析[M]. 广州:广东高等教育出版社,1987:5152.

[15] 刘巍,张秀芳. 基于可拓信息的知识表示[J].系统工程理论与实践,1998,18(1):104-107.

[16] Liu Wei,Ye Jian. Extension Information[M]. Harbin:Institute of Technology Press,1996:316-319.

[17] 查先进. 信息分析与预测[M].武汉:武汉大学出版社, 2000:186-189.
No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!