$4-$ You invested a total of $$10,000$ in two stocks $($$$5,000$ in each$)$ with different betas: stock A

with a beta of $1\mathrm{.}15$ and stock B with a beta of $2\mathrm{.}86.$

a$)$ If the stock market rises $10$ percent over the next year, what will be the value of each

investment?

b$)$ If the stock market declines $10$ percent over the next year, what will be the value of each

investment?