Why is the standard deviation of a security's returns an inadequate measure of the contribution of that

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Why is the standard deviation of a security's returns an inadequate measure of the contribution of that security to the risk of a portfolio that is well diversified?

Portfolio
A portfolio is a grouping of financial assets such as stocks, bonds, commodities, currencies and cash equivalents, as well as their fund counterparts, including mutual, exchange-traded and closed funds. A portfolio can also consist of non-publicly...
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