If a company just paid a dividend of $$2\mathrm{.}00/$share$.$ And they have new tech that is expected to go to market this year, and their dividend is expected to grow at $8\%$per year for the next $7$years$.$ After that, the dividend is not expected to increase for the foreseeable future. The next dividend will be paid exactly in one year. Investors require a $8\%$rate of return $($EAR$)$ for the company's stock

a$)$What is the stock price today?

b$)$ What is the stock price in $3$ years from now $($right after the dividend payment$)?$

c$)$ What is the stock price in $20$ years from now $($right after the dividend payment$)?$