Consider the following information. Your portfolio is invested $30$ percent each in A and C$,$ and $40$ percent in B$.$ What is the expected return and standard deviation of this portfolio?

$(10$ marks$)$

$\backslash$table$[[$State of$,$Probability of$,$Rate of Return if State Occurs$],[$Economy$,$State of Economy,Stock A$,$Stock B$,$Stock C$],[$Boom$,0\mathrm{.}15,0\mathrm{.}30,0\mathrm{.}45,0\mathrm{.}33],[$Good$,0\mathrm{.}45,0\mathrm{.}12,0\mathrm{.}10,0\mathrm{.}15],[$Poor$,0\mathrm{.}35,0\mathrm{.}01,-0\mathrm{.}15,-0\mathrm{.}05],[$Bust$,0\mathrm{.}05,-0\mathrm{.}06,-0\mathrm{.}30,-0\mathrm{.}09]]$