Steady As She Goes Inc. will pay a year$-$end dividend of $$3\mathrm{.}10$ per share. Investors expect the dividend to grow at a rate of $5\%$ indefinitely. a$.$ If the stock currently sells for $$31$ per share, what is the expected rate of return on the stock? $($Do not round intermediate calculations. Enter your answer as a whole percent.$)$ b$.$ If the expected rate of return on the stock is $17\mathrm{.}5\%,$ what is the stock price? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$