What is the terminal value of the stock at time period $4$ if we have a firm that just paid a dividend of $$3\mathrm{.}00$ per share and is expected to growth those dividends by $20\%$ per year for the next $4$ years. Assume that after $4$ years, the dividends will grow at a rate of $5\%$ per year. Finally, assume a discount rate of $12\%.$

Hint: Determine the year $5$ dividend amount and apply the constant growth model as of time period $4.$