But if I would confine myself just to stocks and bonds, then I would get a much higher standard deviation.
但若组合里只有股票和债券,我的标准差会高得多。
so all of these things with addition of the deviation of the policy, personnel and material to Iraq, led to the turnanoud.
所有这些事情加上政策,人员,物资向伊拉克的转移,使得局势有了改变。
So the other possible deviation we have to consider, is a deviation of the form of one of these guys dropping out.
那么另外一个我们必须要考虑的偏差,是她们俩有一个人退出选举
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。
To calculate the expected utility of your wealth, you might also have to look at the expected return, or the geometric expected return, or the standard deviation.
要计算你财富的期望效用,你也许还要研究预期收益曲线,或几何预期收益率,或是标准差
The next phrase, B-- is very similar, but here it takes the deviation-- And gets it back-- gets us back to the tonic.
下一乐句,B,与之前非常相似,但从这里偏离,又回来,回到主音
So there's three possible types of deviation here that we need to check.
这有三种可能的偏差,需要我们验证
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
According to my calculations it was a twenty-five standard deviation event.
根据我的估算,那次波动偏离均值有25倍标准差之巨
What we want to do now is compute the mean and variance of the portfolio-- or the mean and standard deviation, since standard deviation is the square root of the variance-- for different combinations of the portfolios.
我们现在要做的是,计算这个投资组合的均值和方差-,或者均值和标准差,因为标准差的平方就等于方差-,这对任何投资组合都是一样的。
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。
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。
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