This is a year of financial crises, so I'm warning you ahead that -don't expect a 28% return on the Yale portfolio for the coming year.

金融危机爆发,所以我先提前给大家打预防针,别期望今年耶鲁基金,能延续28%的收益

耶鲁公开课 - 金融市场课程节选

We want a high expected value of returns, but we don't like variance.

我们希望收益的期望值较高,并且稳定

耶鲁公开课 - 金融市场课程节选

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

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

But, I've dropped that assumption and now I'm going on to assuming that they're taking account of their dependence on each other, taking account of their different expected returns, and taking account of their different covariances and variances; so that's what we've got.

不过我已经放弃了那个假定,我现在假定,我们需要考虑它们彼此间的相关性，它们有着不同期望收益，不同的协方差和方差;,这是我们所学到的。

耶鲁公开课 - 金融市场课程节选

I don't find that my analysis is profound in the final answer, I just took some estimates using my data and, again, we could-- if someone wanted to argue with us they could argue with my estimates of the expected returns of the standard deviations and the covariances, but not with this theory.

我在计算过程中并没有做太深入的分析，我只是用我的数据做了一下大概的估计,我再说一次，我们可以-,如果有人想就这个问题与我们争辩,他们可以争论我对期望收益的估计,或是争论标准差和协方差的估计值，但并不会针对理论本身。

耶鲁公开课 - 金融市场课程节选

With the government expected return, we want to make that expected return as a fourth asset-- rf we could call it r4 but I'll call it rf-- it's a special asset.

根据政府的期望收益率，我们将其作为第四种资产-,可以称之为r4，我们写成-,这是个特殊的资产。

耶鲁公开课 - 金融市场课程节选