lingo 投资组合最优解问题本人在写一篇论文,使用马科维茨模型通过估计5个股票收益率的均值和协方差来计算投资组合的最优

lingo 投资组合最优解问题
本人在写一篇论文,使用马科维茨模型通过估计5个股票收益率的均值和协方差来计算投资组合的最优解.请教如果用lingo软件来计算?
目标方程和约束条件见图片
5只股票的平均收益率分别为(0.0079,0.0070,0.0055,0.0058,0.0072),
协方差矩阵为S=[0.0063,0.0025,0.0021,0.0021,0.0022
0.0025,0.0049,0.0009,0.0023,0.0012
0.0021,0.0009,0.0032,0.0011,0.0026
0.0021,0.0023,0.0011,0.0039,0.0015
0.0022,0.0012,0.0026,0.0015,0.0044]
请教大牛怎么写程序?我在网上搜了一些改了一下都有问题.本人是大菜鸟.555
伍三少 1年前 已收到1个回答 举报

K5180000 幼苗

共回答了15个问题采纳率:80% 举报

你的cov是不是就是s 说清楚

1年前 追问

1

伍三少 举报

是的,不好意思~

举报 K5180000

那你那句rp有什么意义 跟其它几句没有任何关系

伍三少 举报

就是算出每个股票的比重后可以算出这个组合的收益率吧,好像那个式子对于前面的计算过程是没什么作用

举报 K5180000

model: sets: stock/1..5/:r,x; cov(stock,stock):s; endsets data: enddata min=@sum(cov(i,j):x(i)*x(j)*s(i,j)); @sum(stock:x)=1; calc: rp=@sum(stock:r*x); endcalc end 数据自己写 不会的话随便找个教程看看
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