PROBLEM $3.10$ POINTS.

The Bell Weather Co$.$ is a new firm in a rapidly growing industry. The company is planning on increasing its annual dividend by $45$ percent a year for the next $2$ years, followed by $25$ percent for the following $2$ years, after which the growth rate will decrease to $5$ percent per year indefinitely. The company just paid its annual dividend in the amount of $$4\mathrm{.}50$ per share. What is the current value of one share of this stock if the required rate of return is $14\mathrm{.}00$ percent?