Suppose that Zoom Video Communication, Inc.$$s $($ZM$)$ stock is selling for $$50\mathrm{.}00$ per share. Analysts believe that the growth rate for Zoom will be $20\%$ for the next three years, $40\%$ for the following $2$ years, and thereafter, the growth rate will be $6\%$ indefinitely. Due to its growth, Zoom will not pay a cash dividend until three years from now. At the time the dividend will be $$3\mathrm{.}00.$ Thereafter the dividend will grow by the same rate as the company. Stockholders require a return of $20$ percent on Zoom$$s stock.

Required:

a$)$ Based on the above assumptions, determine the price of Zoom$$s common stock.