$1.$ A portfolio is invested $20$ percent in Stock G$,60$ percent in Stock J$,$ and $20$ percent in Stock K$.$ The expected returns on these stocks are $11$ percent, $18$ percent, and $25$ percent, respectively. What is the portfolio's expected return?

Answer choices:

$18\%$

$18\mathrm{.}90\%$

$17\mathrm{.}10\%$

$14\mathrm{.}40\%$

$2.$

You own a stock portfolio invested $30$ percent in Stock Q$,25$ percent in Stock R$,15$ percent in Stock S$,$ and $30$ percent in Stock T$.$ The betas for these four stocks are $1\mathrm{.}13,0\mathrm{.}71,0\mathrm{.}46,$ and $0\mathrm{.}75,$ respectively. What is the portfolio beta?

Answer choices:

$\mathrm{.}83$

$\mathrm{.}81$

$\mathrm{.}85$

$\mathrm{.}77$

$3.$

You own a portfolio equally invested in a risk$-$free asset and two stocks. If one of the stocks has a beta of $1$ and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio?

answer choices:

$1\mathrm{.}00$

$2\mathrm{.}10$

$2\mathrm{.}00$

$1\mathrm{.}90$

$4.$

A stock has an expected return of $14$ percent, its beta is $1\mathrm{.}25,$ and the expected return on the market is $12$ percent. What must the risk$-$free rate be$?$

answer choices:

$4\mathrm{.}00\%$

$4\mathrm{.}16\%$

$-1\mathrm{.}00\%$

$3\mathrm{.}80\%$