.. 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。

耶鲁公开课 - 金融市场课程节选

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。

耶鲁公开课 - 金融市场课程节选

I am going to sum up the atomic orbitals that go into the molecular orbital, and they are going to have some coefficients.

我准备将原子轨道组合起来,进行分子轨道计算，这个过程还需添加一些系数。

麻省理工公开课 - 固态化学导论课程节选

It's the world portfolio, it's everything and we compute the expected return on that portfolio, rm that's rm.

这就产生了世界投资组合,然后我们在此基础上计算出预期收益，所得值就是。

耶鲁公开课 - 金融市场课程节选

In fact, I have it--suppose we have three assets and we want to compute the efficient portfolio frontier, the mean and variance of the portfolio.

事实上，假如我们拥有三种资产,我们想计算有效边界，及投资组合的均值和方差。

耶鲁公开课 - 金融市场课程节选

For him, the optimal portfolio should be very heavily into stocks.

以他的计算结果，最佳投资组合应该是大量投资股票。

耶鲁公开课 - 金融市场课程节选

That is the final aspect of the efficient portfolio calculations.

那是计算有效资产组合所得到的最终结果。

耶鲁公开课 - 金融市场课程节选

Then he computes the efficient portfolio frontier.

然后他又计算出有效资产组合边界。

耶鲁公开课 - 金融市场课程节选

Now, underlying our theory is the idea that we measure the outcome of your investment in your portfolio by the mean of the return on the portfolio and the variance of the return on the portfolio.

而理论的基础是,我们通过计算,组合收益率的均值，和组合收益率的方差,来衡量一个投资组合的优劣。

耶鲁公开课 - 金融市场课程节选

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。

耶鲁公开课 - 金融市场课程节选

.. The portfolio expected return-- x3 we have to choose three things now: x1, x2, and x3.

要计算投资组合的预期收益-,我们必须确定三个值x1，x2和。

耶鲁公开课 - 金融市场课程节选