Silco Enterprises $($an all$-$equity firm$)$ will have earnings per share of $$3$ for the coming year. The company plans to retain all of its earnings for the next four years $($year $1-$year $4).$ Retained earnings will be invested in projects with an expected return of $20\%$ per year. In years $5$ and $6,$ the firm plans on retaining $50\%$ of its earnings. After that, it will retain only $25\%$ of its earnings for the foreseeable future. If Silco's equity cost of capital is $12\%,$ what is the current price of a share of Silco's stock? Use the constant dividend growth model. You may find the table below helpful in ordering your calculations.

year earnings dividens g

$1$

$2$

$3$

$4$

$5$

$6$

$7$