Stock A has a beta $=0\mathrm{.}8,$ while Stock $B$ has a beta $=1\mathrm{.}6.$ Which of the following statements is CORRECT?

If the marginal investor becomes more risk averse, the required return on Stock B will increase by more than the required return on Stock A$.$

An equally weighted portfolio of Stocks A and $B$ will have a beta lower than $1\mathrm{.}2.$

Stock B$\text{'}$s required return is double that of Stock A$\text{'}$s$.$

If the marginal investor becomes more risk averse, the required return on Stock A will increase by more than the required return on Stock B$.$

If the risk$-$free rate increases but the market risk premium remains constant, the required return on Stock A will increase by more than that on Stock B$.$