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Why riskiness of portfolios is different to specific assets

Why the riskiness of portfolios ought to be looked at differently than the riskiness of specific assets?

The riskiness of portfolios ought to be looked at differently than the riskiness of individual assets since the weighted average of the standard deviations of returns of specific assets does not result in the standard deviation of a portfolio having the assets.  There is a reduction in the fluctuations of the returns of portfolios that is called the diversification effect.

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