Using the beta from the previous problem, and Rf $=6\%,$ a Rmkt $=18\%$ compute Ks$.$ Given D$0=$ $$4\mathrm{.}00$; D$1=5$; D$2=6$; D$3=7$; D$4=8$; D$5=9$ and then g$=-4\%.$ Find P$0.2024$

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$(8$ points$)$

$\backslash$table$[[\backslash$table$[[$State of$],[$the world$]],$Probability,$\backslash$table$[[$Security$],[$Returns X$]],\backslash$table$[[$Security$],[$Returns$],[$Market$]]],[$Boom$,0\mathrm{.}2,0\mathrm{.}35,0\mathrm{.}20],[$Normal$,0\mathrm{.}6,0\mathrm{.}20,0\mathrm{.}11],[$Recession$,0\mathrm{.}2,0\mathrm{.}08,0\mathrm{.}03]]$

$(1)$ Is this distribution symmetrical? $(2)$ Calculate the covariance. $3$ Calculate the variance of the portfolio made up of $70\%x$ and $30\%$ of the Market. $(4)$ Find the Beta for the firm. $5$ Find the correlation coefficient.