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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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I think that these countries are somewhat trying to manage this oil risk but they can't yet get onto the frontier.
我想这些国家或多或少,都试着控制石油风险,但他们根本无法达到有效边界。
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He has this whole group of people out somewhere on the American frontier and they're a kind of a cult.
他描写了来自于美国边界某处的一群人,他们是一群狂热分子
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There is surrounding farmland going as far,typically, as there is either a natural or an artificial frontier.
周围环绕着农田,这些农田一般会延伸至一个自然边界,或者一个人工边界为止
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Napoleon thought the natural frontier was the Pacific Ocean.
而拿破仑认为自然疆界是太平洋
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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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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。
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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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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。
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His Leatherstocking Tales are full of a certain anxiety about what might be happening to that frontier, what's coming from east to west.
他的《皮袜子故事集》里弥漫着某种焦虑不安,它讲述了西进运动开拓者们从东部来到西部,有可能会遇到的一些事情
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He estimates, for his purposes, and he shows you calculations of the efficient portfolio frontier.
他用自己的角度估算了参数,他还给出了计算有效边界的方法。
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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。
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Jeremy Siegel, in his book, which is assigned for this course, is really emphasizing this capital asset pricing model, emphasizing the kind of efficient portfolio frontier calculations that I've done.
杰里米·西格尔的著作，是本课的指定书目，书中着重讲述了资本资产定价模型，以及有效边界等的计算方法,这部分我已经讲完了。
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Once you've got them together, then you can compute the efficient portfolio frontier without the riskless asset.
当你明确了这些参数后，就可以算出没有无风险资产情况下的,有效边界了。
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But beyond that, if you were confined to just stocks and bonds, it would be a matter of taste where along this frontier you would be.
进一步，若仅限于投资股票和债券的组合，选择哪个组合,取决于个人的兴趣。
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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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