A company XYZ Inc is expected to grow its dividends at an annual rate of $25\%$ for the next $3$ years. After that, the growth rate will drop to a constant $5\%$ indefinitely. The company just paid dividend of $$2\mathrm{.}00$ per share. The required rate of return is $12\%.$

i$.$ Determine the price of the stock at the end of Year $3($P$3),$ just before the transition to the constant growth phase

ii$.$ Calculate present value of these expected dividends.

iii. Determine the current price of the stock.