In this paper, based on existing results, decision making about portfolio investment schemes is discussed, ordering method of fuzzy numbers of interval value is shown, corresponding auxiliary models are established an...In this paper, based on existing results, decision making about portfolio investment schemes is discussed, ordering method of fuzzy numbers of interval value is shown, corresponding auxiliary models are established and solutions are provided with theories of fuzzy mathematics, optimization theory and numerical calculation, etc. Then it applies software programming to solve the portfolio investment situation between investors in savings and four securities according to the established models. The result shows that investors can choose the risk coefficient that they can bear to reach the maximum value of expected returns. The greater the risk coefficient, the greater the income, the smaller the risk coefficient and the smaller the income. Investors can determine their own portfolio strategy according to their own conditions in order to meet their own interests.展开更多
The study is on a linear model of the relationship between the systematic risk and the micro-economic leverage and analyzed the data from the steel, energy source and chemical fibre industry listed companies in the Ch...The study is on a linear model of the relationship between the systematic risk and the micro-economic leverage and analyzed the data from the steel, energy source and chemical fibre industry listed companies in the Chinese stock market in 2002 and 2001. Using the linear regression method, empirical equations were found. The portfolio effect was shown so that some empirical evidence had been found to support the micro-economic leverage portfolio effect theory, which was that the listed companies balanced the operating and financial leverage to minimize the systematic risk.展开更多
A modified model of optimal investment port folio in a random market with risk constraints is presented. An improved genetic algorithm (GA) is proposed to solve this nonlinear optimal problem. The numerical simulation...A modified model of optimal investment port folio in a random market with risk constraints is presented. An improved genetic algorithm (GA) is proposed to solve this nonlinear optimal problem. The numerical simulation of a large-scale investment combination for Shanghai stock market shows that GA has the advantage of faster convergence and wider adaptability than traditional optimization algorithm. This result alsodemonstrates that the improved GA performs better than the basic GA.展开更多
文摘In this paper, based on existing results, decision making about portfolio investment schemes is discussed, ordering method of fuzzy numbers of interval value is shown, corresponding auxiliary models are established and solutions are provided with theories of fuzzy mathematics, optimization theory and numerical calculation, etc. Then it applies software programming to solve the portfolio investment situation between investors in savings and four securities according to the established models. The result shows that investors can choose the risk coefficient that they can bear to reach the maximum value of expected returns. The greater the risk coefficient, the greater the income, the smaller the risk coefficient and the smaller the income. Investors can determine their own portfolio strategy according to their own conditions in order to meet their own interests.
文摘The study is on a linear model of the relationship between the systematic risk and the micro-economic leverage and analyzed the data from the steel, energy source and chemical fibre industry listed companies in the Chinese stock market in 2002 and 2001. Using the linear regression method, empirical equations were found. The portfolio effect was shown so that some empirical evidence had been found to support the micro-economic leverage portfolio effect theory, which was that the listed companies balanced the operating and financial leverage to minimize the systematic risk.
文摘A modified model of optimal investment port folio in a random market with risk constraints is presented. An improved genetic algorithm (GA) is proposed to solve this nonlinear optimal problem. The numerical simulation of a large-scale investment combination for Shanghai stock market shows that GA has the advantage of faster convergence and wider adaptability than traditional optimization algorithm. This result alsodemonstrates that the improved GA performs better than the basic GA.