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。

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.. 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。

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But when that's not true, then there is a typical sort of modern frontier, a land bridge which there a line is-a theoretical line is drawn through it, and on one side is one city, and the other side is another city.

但还不止这些天然边界,另外还有种边界形式,和现代国境线很类似,是由一座陆桥,分割出一条界线…假象的界线,界线的一边是一个城邦,另一边是另一个城邦

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.. 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。

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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。

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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。

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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。

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Irving Fisher also drew on the curve a production possibility frontier for society, which he made downward-curved.

欧文·费雪还画了一条曲线,代表了社会的生产可能性边界PPF,这是一条向下的曲线

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