Burn Calories (BA) operates a chain of gyms for carb lovers. Its services have been in great demand in recent years and its profits have soared. BA recently paid an annual dividend of $2.70 per share. Investors expect that the company will increase the dividend by 25% in each of the next three years, and after that they anticipate that dividends will grow by about 6% per year. If the market requires an 11% return on BA shares, what should the share sell for today?

(Require in step-by-step calculation)