Twenty years ago a XYZ stock paid a $$0\mathrm{.}10$ dividend. Since then it has split two for one once and three for two once. XYZ current earnings per share are $$2\mathrm{.}50,$ and the plowback ratio is $80\%.$ The dividends are expected to grow with their historical rate for the next five years. Beginning year six, $xYZ$ return on equity is expected to be $12\%.$ If the firm's beta is $1\mathrm{.}1,$ the risk free rate is $3\%$ and the market risk premium is $7\%,$ what the stock's price should be$?$

Please explain any equations used and any screenshots of excel formulas thank you!