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Suppose you could find 10,000 independent assets, then you could drive the uncertainty about the portfolio practically to 0.
假设你能找到一万项相互独立的资产，那么你就可以将这个投资组合的风险,降到几乎为零。
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That would be a portfolio where you borrowed at the riskless rate and you put more than 100% of your money into the tangency portfolio.
在这种组合里,你可以以无风险利率借贷到一些资金,从而可以投入比你本金更多的资金,来购买切线投资组合。
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Portfolio management pools risks in a different way: by assembling a diversified portfolio or a portfolio that's negatively correlated with a risk that someone has.
而投资组合管理采用了不同的方式,多元化的资产配置,或者风险负相关性的,投资组合
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If you would have stepped further out of the risk spectrum and put your money into a portfolio of small stocks you would have gotten 15,922 times your money.
如果你愿承担更多的风险,将钱投资于小盘股组合,你就能获得本金的15922倍
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I believe that we have quite a low risk portfolio.
我相信耶鲁因此才有一个低风险的组合
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That would mean that everybody is holding that same portfolio of risky assets and nobody is different, they're only different in how-- what proportions they hold the risky-- the tangency portfolio.
这就意味着每个人,都持有相同风险资产投资组合,每人都是一样的，他们唯一的不同在于-,他们所持有风险资产的比例-,也就是切线资产组合。
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The minimum variance portfolio is down here.
风险最小的投资组合在这一点取到。
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Finally, I just want to say, next lecture is January twenty-eighth and we're going to talk about portfolio diversification, which is one very important application of the fundamental principle of risk management, as applied to securities.
最后，我想说下一讲是在1月28日,到时我们会谈谈资产组合多样化，这是风险管理基本原则中,对证券投资来说，这是非常重要的一项应用。
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of a stock is how much it reacts to movements in the market portfolio.
一只股票风险指标β系数直接反应出，The，β,市场组合变动与投资收益的相关性。
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That's not a way that we really think about it, but I do believe that the risk level of the University's portfolio is really quite low in statistical terms -much lower than the risk level that you'd have if you had a traditional portfolio dominated by marketable securities.
这一般不是我们考虑的关键,但我相信,耶鲁投资组合的风险水平,在统计数字上是非常低的,远远低于,持有一个传统的可交易证券主导的,投资组合的beta系数
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