A high tech stock just reported an earnings of $3 per share and declared no dividend. The company has 15 million shares outstanding. A talented analyst projects that the company will have a return on new investment of 30% for the first three years and pay no dividend in these three years. The analyst also predicts that after the third year, the company will become mature and its return on new investment will drop to 20%, and it will change its dividend policy by paying out 60% of its earnings forever.

To further check his forecast, the analyst also projects that this high tech company will generate free cash flows of $20 million in the next year, and the growth rate of free cash flows is expected to be the same as the growth rate in earnings.

The analyst also estimates that the company's beta to be 2. The expected market risk premium is 9% and the risk-free rate is 3%.

Currently the firm has $50 million in cash and $800 million in debt. The company's WACC is 14%.Its tax rate is 30%.

(a) What is the appropriate discount rate of this stock according to the CAPM? (2 marks)

(b) What are the growth rates of the earnings for the company that the analyst is forecasting for the first 3 years, and then from year 3 onward? (3 marks)

(c) What is the price of this stock according to the analyst's prediction using the dividend discount model (DDM)? (5 marks)