Suppose that the consensus forecast of security analysts of your favorite company is that earnings next year will be $$5\mathrm{.}00$per share. The company plows back $50\%$of its earnings and if the Chief Financial Officer $($CFO$)$estimates that the company's return on equity $($ROE$)$is $16\%.$Assuming the plowback ratio and the ROE are expected to remain constant forever:

Suppose that you are confident that $10\%$is the required rate of return on the stock. What does the market price of $$50\mathrm{.}00$per share imply about the market$$s estimate of the company$$s expected return on equity? $($please give a number$)$

$*$Make sure to input all percentage answers as numeric values without symbols, and use four decimal places of precision. For example, if the answer is $6\%,$then enter $0\mathrm{.}0600.$Answer is not $-0\mathrm{.}4100,-0\mathrm{.}4200,0\mathrm{.}3000$or $0\mathrm{.}1300$