Sidman Products's common stock currently sells for $$49$ a share. The firm is expected to earn $$4\mathrm{.}41$ per share this year and to pay a year$-$end dividend of $$2\mathrm{.}30,$ and it finances only with common equity.

$($a$)$ If investors require a $9\%$ return, what is the expected growth rate? Do not round intermediate calculations. Round your answer to two decimal places.

$($b$)$ If Sidman reinvests retained earnings in projects whose average return is equal to the stock's expected rate of return, what will be next year's EPS? $($Hint: g $=(1$ Payout ratio$)$ROE$).$ Do not round intermediate calculations. Round your answer to the nearest cent.