Studies On Gray Optimization Pattern Of Security Investment Combination

In the system of social economy, security investment combination has already become the important composition of finance management and investing policy decision. It is average figure variance optimization pattern of Markowitz investment combiantion theory for people to provide theory foundation of security investment policy decision. But,owing to complicated finance system and difficult to forecast stock exchange,the anticipate profit vector of security investment and the hazard have not determination. part information already certainty and uncertainty,it is the same as gray. In the light of this problem, The paper is based on the gray system theory, applying gray theory, multi-goal program theory and mathematical statistics theory to Markowitz investment combiantion theory. It differently studies the problems,such as investment combination theory,gray connected relational and gray optimization problem,applies security stocking market and it gets fairly good accomplishment.The paper also raises the analysis on gray relational analysis, and puts forward the profit vector of combination security investment, the hazard, and the no deviation, consitence and valid estimate of the joint variance matrix. It is gray namer concept and GM forecast that that apply to estimated the anticipate profit vector and the hazard,raising gray hazard concept and some particular calculate method. It combines gray namer, GM forecast pattern and multi-goal optimization pattern with gray average figure variance optimization pattern, and it raises seven gray optimization pattern of security investment combination.Therefore,it not only keeps basic patterns of investment combination theory ,but also reflects gray of stocking market. For multi-goal optimization pattern,invester formulate investing policy according to personal preference;for gray optimization pattern,they do it according to the developing situations of the security market. This is point of discarding old ideas and bring forth new ones. Take the 10 sorts of stocks in different from trades of Shenzhen stocking market as the sample, take six target dates as the sampe,four sorts of representative securities are selected to be analysed with gray relational analysis, seven optimization patterns are all established. Finally, these patterns and final date compared and analyzed have a satisfied result, demonstrating reasonable and feasible of the patterns,particular superiority of gray optimization pattern. The investor can choose optimization patterns of suiting individual according to the developing situations of the security market and personal preference. The patterns provide the investor with a scientific basis to make right investing program.