The FI Corporation's dividends per share are expected to grow indefinitely by $6\%$ per year.

Required:

a$.$ If this year$$s year$-$end dividend is $$5$ and the market capitalization rate is $8\%$ per year, what must the current stock price be according to the dividend discount model? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

b$.$ If the expected earnings per share are $$15,$ what is the implied value of the ROE on future investment opportunities? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

c$.$ How much is the market paying per share for growth opportunities $($that is$,$ for an ROE on future investments that exceeds the market capitalization rate$)?($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$