Lebron Tatum Inc. just paid a dividend $(D_0)$ of $$\frac{2\mathrm{.}00}{?}$ share. The firm's dividend payment is expected to undergo fast growth for three years in a row at $85\%$ each year $($between $t=0$ and $t=3)$; then the firm's dividend will grow at $40\%$ each year for $5$ more years $($between $t=3$ and $t=5)$ until it slows down to a permanent growth rate of $4\%$ per year forever.

John, who is a financial analyst, is trying to value the company based on the dividend discount model that he learned from FINA $2201.$ However, a complicating factor is that due to market fluctuations and complexities, the required rate of return $($discount rate$)$ for equity is $10\%$ between $t=0$ and $t=4,$ but goes down to $5\%$ thereafter $($i$.$e$.,$ beyond $t=4).$

John's task is to figure out how much should the company's stock $($per share$)$ be trading at$?($Please show all your work for partial credit; If you give me the correct final answer without any steps showing work, you would be assigned a zero$)$