$3$ You are evaluating a stock return. You are expecting the stock return to change based on economy status. You are expecting that the probability of recession is $20\%,$ normal is $30\%$ and boom is $50\%,$ and returns are $-10\%,5\%,$ and $13\%$ respectively. What is the expected rate of return on this stock? Round to the nearset hundredth percent. Answer in the percent format. Do not include $\%$ sign in your answer $($i$.$e$.$ If your answer is $4\mathrm{.}33\%,$ type $4\mathrm{.}33$ without a $\%$ sign at the end.$)$