XYZ company is expected to earn $$2$ million in perpetuity if it undertakes no new investment opportunities. There are $200,000$ shares outstanding. The company$$s discount rate is $10$ percent. Suppose the firm pays all of the earnings as dividends, what would be the value of the company now? Suppose the company announces to the world that they plan to spend $$2,000,000$ million on date $1$ and the expected increase in earnings is $$100,000$ per year in every subsequent period forever. What would be the new value per share once the company makes an announcement about the new project?