Problem:

Microtech Corporation is expanding rapidly and currently needs to retain all of its earnings; hence, it does not pay dividends. However, investors expect Microtech to begin paying dividends, beginning with a dividend of $1.00 coming 3 years from today. The dividend should grow rapidly - at a rate of 33% per year - during Years 4 and 5; but after Year 5, growth should be a constant 6% per year. If the required return on Microtech is 12%, what is the value of the stock today?

Note: Please provide reasons to support your answer.