You have observed the returns in the table below over time. Assume that the risk$-$free rate is $5\mathrm{.}75\%$ and the market risk premium is $4\mathrm{.}82\%.$

a$)$ What is the beta of Stock X $($please give your answer rounded to four decimal places$)?$

b$)$ What is the beta of Stock Y $($please give your answer rounded to four decimal places$)?$

c$)$ What is the required rate of return on Stock X$?$

d$)$ What is the required rate of return on Stock Y$?$

e$)$ What is the required rate of return on a portfolio consisting of $75\%$ of Stock X and $25\%$ of Stock Y$?$

r$*5\mathrm{.}75\%$

MRP $4\mathrm{.}82\%$

Observed Returns

Year Stock X Stock Y Market

$201514\mathrm{.}15\%13\mathrm{.}00\%12\mathrm{.}00\%$

$201619\mathrm{.}00\%7\mathrm{.}89\%10\mathrm{.}00\%$

$2017-16\mathrm{.}30\%-5\mathrm{.}25\%-12\mathrm{.}00\%$

$20183\mathrm{.}05\%1\mathrm{.}30\%1\mathrm{.}00\%$

$201922\mathrm{.}22\%11\mathrm{.}11\%15\mathrm{.}00\%$