A prospective investor is evaluating the share of a company. He is considering three scenarios. Under the first scenario the company will maintain to pay its current dividend per share without any increase or decrease. Another possibility is that the dividend will grow at an annual rate of 6% in perpetuity. Yet another scenario is that the dividend will grow at a high rate of 12% for the first 3 years; a medium rate of 7% for the next 3 years and thereafter, at a constant rate of 4% perpetually. The last year's dividend per share was 3 and the current market price of the share is 80. If the investor's required rate of return is 10%, calculate the value of the share under each of the assumptions. Should the share be purchased?