A stock has a beta of $1\mathrm{.}35$ and an expected return of $16\%.$ A risk$-$free asset currently earns

$4\mathrm{.}8\%.$

$($a$)$ What is the expected return on a portfolio that is equally invested in the two assets?

$($b$)$ If a portfolio of the two assets has a beta of $0\mathrm{.}95,$ what are the portfolio weights?

$($c$)$ If a portfolio of the two assets as an expected return of $8\%,$ what is its beta?

$($d$)$ If a portfolio of the two assets has a beta of $2\mathrm{.}70,$ what are the portfolio weights? How

do you interpret the weights for the two assets in this case? Explain.