.. I computed the efficient portfolio frontier for various-- it's the efficient portfolio frontier using the formula I just gave you.

我计算了来自不同组合有效边界-,这一条有效投资组合边界,就是用刚刚给出的公式算出来的。

耶鲁公开课 - 金融市场课程节选

What I did in this diagram is I computed the efficient portfolio frontier-- now it's the blue line with three assets.

在这张图表中,我计算了有效边界-,蓝色线表示三种资产的组合。

耶鲁公开课 - 金融市场课程节选

What I have up there on the diagram are calculations I made for the efficient portfolio frontier with three assets.

上面的图形是我已经算好的,三种资产的有效投资组合边界。

耶鲁公开课 - 金融市场课程节选

The pink line here is the efficient portfolio frontier when we have only stocks and bonds to invest.

这条粉色曲线就是有效边界,这个投资组合只包括了股票和债券。

耶鲁公开课 - 金融市场课程节选

But I'm talking here--this is the actually the frontier-- the best possible portfolio consisting of three assets.

但在这里我说的是-,边界表示了三种资产最好的组合。

耶鲁公开课 - 金融市场课程节选

In fact, I have it--suppose we have three assets and we want to compute the efficient portfolio frontier, the mean and variance of the portfolio.

事实上，假如我们拥有三种资产,我们想计算有效边界，及投资组合的均值和方差。

耶鲁公开课 - 金融市场课程节选

That means that you want to pick, ultimately, a point on this-- this line is tangent to the efficient portfolio frontier with all the other assets in it.

那意味着你会最终会在这上面选一个点-,这条直线是与有效边界相切的,后者包含了所有的资产组合。

耶鲁公开课 - 金融市场课程节选

If we want to add that asset to the portfolio, what it does is it produces an efficient portfolio frontier that is now a straight line; I show that on the diagram.

如果我们将其加入到投资组合中去，则会生成一条资产组合的有效边界,即一条直线;,我在图里把它画出来了。

耶鲁公开课 - 金融市场课程节选

Then he computes the efficient portfolio frontier.

然后他又计算出有效资产组合边界。

耶鲁公开课 - 金融市场课程节选