A stock will have a loss of $10\mathrm{.}8$ percent in a bad economy, a return of $10\mathrm{.}6$ percent in a normal economy, and a return of $24\mathrm{.}5$ percent in a hot economy. There is $30$ percent probability of a bad economy, $39$ percent probability of a normal economy, and $31$ percent probability of a hot economy. What is the variance of the stock's returns?