You decide to invest in a portfolio consisting of $31$ percent Stock A$,42$ percent Stock B$,$ and the remainder in Stock C$.$ Based on the following information, what is the variance of your portfolio?

State of Economy Probability of State Economy Return if State Occurs

Stock A Stock B Stock C

Recession $\mathrm{.}109-9\mathrm{.}60\%-3\mathrm{.}00\%-12\mathrm{.}00\%$

Normal $\mathrm{.}6558\mathrm{.}90\%10\mathrm{.}56\%16\mathrm{.}40\%$

Boom $\mathrm{.}23621\mathrm{.}45\%24\mathrm{.}91\%29\mathrm{.}61\%$