You are considering the purchase of a common stock that just paid a dividend of $$2\mathrm{.}00.$ You expect this stock to have a growth rate of $30$ percent for the next $3$ years, resulting in dividends of D$1=$$$2\mathrm{.}60,$ D$2=$$$3\mathrm{.}38,$ and D$3=$$$4\mathrm{.}39.$ The long$-$run normal growth rate after year $3$ is expected to be $10$ percent $($that is$,$ a constant growth rate after year $3$ of $10\%$ per year forever$).$ If you require a $15$ percent rate of return, how much should you be willing to pay for this stock?