There are two assets and three states of the economy: Suppose you have $$20,000$ total. If you put $$15,000$ in Stock A and the remainder in

Stock B$,$ what will be the standard deviation of your portfolio? $($Keep $2$ post decimal

digits in your final answer$)$

$\backslash$table$[[$State of Economy,$\backslash$table$[[$Probability of$],[$State of Economy$]],$Rate of Return If State Occurs$],[$Stock A$,$Stock B$,],[$Recession$,\mathrm{.}30,-\mathrm{.}20,\mathrm{.}10],[$Normal$,\mathrm{.}50,\mathrm{.}40,\mathrm{.}30],[$Boom$,\mathrm{.}20,\mathrm{.}80,\mathrm{.}50]]$

Suppose you have $$20,000$ total. If you put $$15,000$ in Stock A and the remainder in Stock B$,$ what will be the standard deviation of your portfolio? $($Keep $2$ post decimal digits in your final answer$)$