(35 points) A company's stock paid a dividend of \$5 per share last year. Moreover, the dividends are expected to grow at a rate of 16% per year for the first 3 years. After 3 years, the grow rate decreases to 4% and dividends grow forever. Discount rate is 10%. a. What is the price of the stock today? b. If the earnings per share will be $8 in year 1 , what is the present value of growth opportunities