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You invest 45% of your money in Stock Y and the rest in Stock Z. The standard deviation of Stock Y's annual returns is 55%

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You invest 45% of your money in Stock Y and the rest in Stock Z. The standard deviation of Stock Y's annual returns is 55% and the standard deviation of Stock Z 's annual returns is 47%. The standard deviation of the portfolio's annual returns is 45%. By how many percentage points did diversification reduce your risk in this case? Write your answer out to three decimals - for example, write 6.2% as .062

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