$An$ investor has two options:

$1.$ A bond that guarantees a payoff of $$11.$

$2.$ A stock that pays $$20$ in a good state with a probability of $70\%$ and loses $$10$ in a bad state with a probability of $30\%.$

Assume the investor's utility function is U$($W$)=W^{2}is$ the wealth.

What $is$ the utility that the investor obtains from the bond investment?

Round $to$ the nearest whole number.