Analysts have predicted that MCR Inc. will pay dividends of $$2$ per share in the first year and $$3\mathrm{.}8$ per share in the third year. After that, the company expects the dividend to increase by $2\%$ per year for the next two years $($years $4$ and $5).$ After these two years, dividends will increase by $5\%$ indefinitely. The required rate of return is $12\%.$ What is the value of the stock today?