Questions $(100$ points$)$

Assume a portfolio that is composed of assets $x$ and $Y.$ If the weight of Asset $x$ in the portfolio is $60\%,$ and given the below information, find the expected portfolio return.

$(20$ points$)$

$\backslash$table$[[,,$If this state occurs$],[$State of the Economy,Probability,Asset X$,$Asset Y$],[,($of this state occurrence$),0\mathrm{.}09,0\mathrm{.}12],[$Recession$,0\mathrm{.}45,0\mathrm{.}11,0\mathrm{.}135],[$Normal$,0\mathrm{.}35,0\mathrm{.}125,0\mathrm{.}14],[$Boom$,0\mathrm{.}20,,]]$

$E_{(x)}=$