Which of the following statements are true?

Which of the following statements are true?

If asset A has a higher standard deviation and lower return than asset B$,$ an investor with mean$-$variance utility will never have a portfolio that invests in both assets at the same time.

The Sharpe ratio of a portfolio with one risky asset and one risk free asset is defined as the fraction of funds invested in the risky asset, beta.

If an individual with mean$-$variance utility has a high risk aversion parameter $($e$.$g$.),$ they will only hold the risk free asset in a portfolio and never hold a risky asset.

In a portfolio with one risky asset and one risk free asset, where the fraction of funds invested in the risky asset is $,$ we implicitly assume that can never be greater than $1.$

The MRS of a standard mean$-$variance utility function is negative.

None of the above.