But they're accountable and we can list all possible values when they're discrete and form a probability weighted average of the outcomes.
但随机变量是离散的话,我们可以把所有的可能值列出来,然后算出加权平均值
There were seventeen categories of equity mutual funds and they compared the dollar-weighted to the time-weighted returns.
其中一共是17种股权共同基金,将它们的货币加权回报率,和时间加权回报率进行比较
And I've changed the available weight.
还有可用的加权。
That'll be the weighted average.
这就是成绩的加权比例
In every one of those seventeen categories, the dollar-weighted returns were less than the time-weighted returns.
发现这17种基金中的每一种,货币加权回报率,都是低于时间加权回报率的
Dollar-weighted obviously takes into account when the cash flows come in and when they go out.
货币加权回报率显然是把现金流入,以及流出考虑在内
But if you look at the tech fund category, the difference between the dollar-weighted and the time-weighted returns--this is over a ten-year period -is 13.4% per annum; that's stunning.
但是如果你关注科技投资基金,十年间,货币加权回报率,和时间加权回报率间的差距,是每年13.4%,这是非常夸张的
If you look at the ten best-performing Internet funds from 1997 to 2002, the time-weighted return is 1.5% per year positive, so the funds went way up and then they went way down.
这十个表现最好的网络投资基金,从1997年到2002年,时间加权回报率是每年1.5%,基金一路涨涨跌跌
Well, there's another way to look at returns -those are the dollar-weighted returns -and the dollar-weighted returns actually do a better job of describing the experience of the group of investors that participated in these funds.
还有另一种考察回报率的参数,货币加权回报,货币加权回报实际上,是描述基金参与者收益的,一个更好的指标
But it's positive 1.5% per year, time-weighted--that's the number that you see in the prospectus or the number that you see in the advertisements so you say, what's the big deal, no harm no foul.
但算下来回报率每年还是正的1.5%,时间加权回报率,是你在招股说明书中,或是在广告中会看到的数字,你会说,没什么大不了,既没损失,也不违法
That's called the expected value.
这个加权平均值就是期望值
Compound that 13.4% over ten years and there's just an enormous gap between those mutual fund numbers that are in the prospectus and in the advertisement--the time-weighted returns and the dollar-weighted returns that talk about the actual experience of the investment community.
按13.4%复利算一下10年期的结果,你会发现在招股说明书和广告里给出的,用来反映投资机构实际业绩水平的,时间加权回报率,和货币加权回报率数字之间,有着巨大的差异
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