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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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By the 1820s, already, within a decade of the War of 1812 and the opening of the frontier, cotton's future seemed limitless.
截至十九世纪二十年代,这其中包括了1812年开战的十年战争,以及边疆的开拓,棉花产业的未来似乎无限
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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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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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the battle took place over some land that was being contested on a frontier and they would go down to that area and pick a spot and there they would go and fight with one another.
战争爆发是为了争夺国境线上的争议地区,他们会到那个地区,挑好地方,然后在那里大打出手
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If Frederick Jackson Turner had anything right in "The Frontier Thesis", although he didn't pay hardly any attention to the South, this idea of a safety valve of a West to move to was surely there for slavery.
如果弗雷德里克·杰克逊·特纳,在《边境论》中有什么正确的言论,那就是,尽管他对南方几乎没有施以任何关注,即这个西进运动是一道安全阀的构想,显然是为奴隶制而设的
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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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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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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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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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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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The production possibility frontier at different horizons is in different places.
不同层面的生产可能性曲线,会有不同的位置
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Where are they on the efficient portfolio frontier?
那运用有效边界分析会如何呢？
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