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Given a pair of assets with different standard deviations, the minimum variance portfolio is defined as the portfolio that has the lowest variance among all

Given a pair of assets with different standard deviations, the minimum variance portfolio is defined as the portfolio that has the lowest variance among all possible portfolios. Similarly, given a pair of assets with different standard deviations, the minimum standard deviation portfolio is defined as the portfolio that has the lowest standard deviation among all possible portfolios. Under what conditions the minimum variance portfolio and the minimum standard deviation portfolio would be different?

a.

They are always the same.

b.

They are always different.

c.

If the correlation between assets is -1.

d.

If one of the assets is risk-free.

e.

If the correlation between assets is +1.

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