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• It shows the standard deviation of the return on the portfolio as a function of the expected return on the portfolio.

它是投资组合的收益标准差,关于预期收益率的函数图像。

耶鲁公开课 - 金融市场课程节选

• 7% 77% is class average and the standard deviation was 17% so you can see where things lie. 50% is a pass.

7是平均水平，标准偏差是%,这就是事情所在，50%就及格。

麻省理工公开课 - 固态化学导论课程节选

• .. You want to get it-- if you keep adding assets, you can do better and better on your portfolio standard deviation.

你想得到-,如果不断增加资产,组合的标准差就会越来越小。

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• It could be normal, everything, that would be a Gaussian, where if you recall there was a mean, and a standard deviation, and most values were going to be close to the mean.

可能是正态分布，也就是高斯分布，只要有平均值和标准偏差值，你就可以进行调用，大部分的值都是集中在平均值附近的。

麻省理工公开课 - 计算机科学及编程导论课程节选

• Let's suppose that all of them are the same-- they all have the same standard deviation.

我们假设这些资产的收益率标准差-,均相等。

耶鲁公开课 - 金融市场课程节选

• You could always find a portfolio that had a higher expected return for the same standard deviation.

你总是可以找到一个投资组合,具有较高的预期回报,而标准差不变。

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• If there's a large standard deviation it would be spread.

如果标准偏差值很大,那么它就比较分散。

麻省理工公开课 - 计算机科学及编程导论课程节选

• An eight standard deviation event happens once out of every six trillion trials.

而八个标准差的偏离就意味着,六万亿分之一的概率

耶鲁公开课 - 金融市场课程节选

• Especially if there is a small standard deviation.

特别是当标准偏差值很小的情况。

麻省理工公开课 - 计算机科学及编程导论课程节选

• Over this time period, that portfolio had an expected return of something like a little over 9% and it had a standard deviation of a little over 9%.

在这个时间段，这个投资组合的预期收益率是,9%多一点%,标准差是9%多一点。

耶鲁公开课 - 金融市场课程节选

• You can't come up with a number to describe the twenty-five standard deviation event; it's just too large a number, I think, for any of us to really comprehend.

你根本无法想出一个数字,来描述这个偏离25倍标准差的事件,对我们普通人来说,这是个难以想象的天文数字

耶鲁公开课 - 金融市场课程节选

• The standard deviation is the square root of the variance.

标准差是方差的平方根

耶鲁公开课 - 金融市场课程节选

• You want to, for any given expected return, you want to minimize the standard deviation, so it's the left-most line and that means that everyone will be holding the same portfolio.

你希望，在期望收益固定的情况下，你肯定希望将标准差最小化，而这条线是最左边的线,这就意味着所有人,都愿意持有这样的投资组合。

耶鲁公开课 - 金融市场课程节选

• So, for example, at an annual expected return of 12% if I have a portfolio of stocks, bonds, and oil I can get a standard deviation of something like 8% on my portfolio.

例如，在年预期收益12%的情况下%,我有股票，债券和石油的投资组合,在这个组合里,我的投资组合可以取到8%的标准差。

耶鲁公开课 - 金融市场课程节选

• What is the standard deviation?

标准差是多少

耶鲁公开课 - 金融市场课程节选

• So, the optimal thing to do if you live in a world like this n is to get n as large possible and you can reduce the standard deviation of the portfolio very much and there's no cost in terms of expected return.

如果现实中也这样简单的话,那么你就尽量增大,这样就能让投资组合的标准差,就会大大降低,从预期收益率的角度来看,这样做的成本是零。

耶鲁公开课 - 金融市场课程节选

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