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Explain why the slope of the efficient frontier decreases at higher levels of risk (standard deviation). Why does this fact matter to investors seeking to

Explain why the slope of the efficient frontier decreases at higher levels of risk (standard deviation). Why does this fact matter to investors seeking to achieve higher than market (e.g. S&P 500) returns? In other words, what do active managers need to do in terms of portfolio construction and asset selection to outperform the S&P 500 in this case? Please explain how the changing slope translates to the risk/return trade-off for investors.

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