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三率调控宏观经济的数学模型
引用本文:盛平兴,汤薇薇.三率调控宏观经济的数学模型[J].应用数学与计算数学学报,2002,16(2):23-30.
作者姓名:盛平兴  汤薇薇
作者单位:上海大学数学系,上海,200436
摘    要:本文利用中国宏观经济发展状况,建立三率调控宏观经济的数学模型,利用宏观经济指标与三率间的回归分析考证它们的相关程度,并根据实际经验建立收益矩阵,根据经济指标对宏观经济贡献的大小建立权重系数,最后建立目标函数并求组合最优化的解。由于数据不足,而且没有考虑 风险的最小化,我们获得的决策并非一定最优,只是在某些特定的条件下最优,因此决策仅供参考。此外,随着宏观经济状况的不断变化,收益矩阵和加权系数必须随时修正,以便形成动态决策。

关 键 词:宏观调控  经济指标  利率  汇率  线性回归分析  收益率  权重  数学模型
修稿时间:2002年6月17日

Mathematical Model for Adjusting and Controlling Macroeconomics Via Three Rates
PINGXING SHENG WEIWEI TANG.Mathematical Model for Adjusting and Controlling Macroeconomics Via Three Rates[J].Communication on Applied Mathematics and Computation,2002,16(2):23-30.
Authors:PINGXING SHENG WEIWEI TANG
Abstract:This paper sets up a mathematical model for adjusting and controlling macroeconomics via three rates through analyzing development status of Chinese macroeconomics. Correlations among macroeconomic indices and three rates are verified by regression analysis, a beneficial matrix has been set up according to practical experience, weight coefficients are built up due to contributions of different indices to macroeconomics, and finally an objective function is provided to seek optimal solutions of combinatory. The decision we have obtained may not be optimal because we have not got enough data and have not considered how to minimize macroeconomic risk occurred in the change of three rates. Hence the decision is optimal under certain conditions and is only a reference to decision-makers. As macroeconomics status changes continuously the beneficial matrix and weight coefficients must be modified along the time in order to form a dynamic decision.
Keywords:Adjusting and controlling macroeconomics via three rates  beneficial matrix  weight coefficients  objective function  
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