Lebron Jason Inc. just paid dividend $($D$0)$ of $$3\mathrm{.}00/$share$.$ The firm$$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$$s dividend will grow at $40\%$ each year for $2$ more years $($between t$=3$ and t$=5)$ until it slows down to a permanent growth rate of $4\%$ per year forever. Thanks to the aggressive rate hiking by the Fed, the required rate of return $($discount rate$)$ is $15\%$ between t$=0$ and t$=2$ but increases to $20\%$ between t$=2$ and t$=4$ and further increases to $25\%$ beyond t$=4.$ Based on the dividend discount model, how much should the company$$s stock $($per share$)$ be traded at$?($Show all work$)$