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Investors can invest in a risk-free asset and a risky portfolio constructed out of 3 risky assets. Sara is more risk averse than Brian. Both

Investors can invest in a risk-free asset and a risky portfolio constructed out of 3 risky assets. Sara is more risk averse than Brian. Both Sara and Brian make the optimal portfolio choice. Which of the following statements is true?

Sara and Brian will pick the same optimal risky portfolio.

Compared to Brian, Sara puts a smaller fraction of her total investment money into the risk-free asset.

Saras optimal risky portfolio will have a lower standard deviation compared to that of Brians.

Saras optimal complete portfolio has a higher Sharpe ratio than that of Brians.

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