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

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

Now, we can also move to three assets and, in fact, to any number of assets.

现在，我们再看看三种资产的情形,当然还可以有超过三种资产的情况。

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's what we have to know to compute the efficient portfolio frontier with three assets.

这些都是计算三种资产的有效边界,所需要用到的。

耶鲁公开课 - 金融市场课程节选

When you add another asset, you do better when you have three assets, you do better than if you just had two because there's more diversification possible with three assets than with two.

当你增加一种资产，有三种资产的时候，投资组合的表现会比两种资产时更好,因为三种资产相比两种资产的情况,可选择的投资组合更多。

耶鲁公开课 - 金融市场课程节选

It seems like a logical extension of that formula to three assets and you can easily see how to extend it to four or more assets, it's just the logical extension of that.

这样就将前个公式推导为三个资产的情况,显而易见,你们可以将其运用到四个乃至更多资产的情况下，这只是对原始公式一个推导罢了。

耶鲁公开课 - 金融市场课程节选

I have three assets shown here.

这里有三种资产。

耶鲁公开课 - 金融市场课程节选

.. Now, once you have more than three-- more than two assets-- it might be possible to get points inside the frontier.

现在，一旦你有超过三种-,超过两种资产-,就有可能取到边界里面的点。

耶鲁公开课 - 金融市场课程节选