As a valuation specialist for a mergers and acquisitions unit, you have been asked to place a value on $($DC$)$ stock. You learn that DC is a superior company, but it is currently paying no dividend. You estimate that DC will pay its next dividend of $$2\mathrm{.}50$ per share exactly $3$ years from today. In the following year, the company$$s dividend will increase by $25\%.$ Thereafter, DC$$s dividend growth rate will decrease by $5$ percentage points per year, until it reaches the industry average of $5\%.$ Once DC$$s dividend growth rate reaches $5\%$ per year, it will never change. The required rate of return on DC stock is $11\mathrm{.}7\%$ per year. Please place a current value on a share of DC stock.