Suppose that Taiwan Semiconductor Manufacturing Company Limited (TSM) is selling for $100.00. Analysts believe that the growth rate for TSM will be 50% per year for the next two years, 30% per year for the following three years, and thereafter the growth rate will be 12% indefinitely. TSM's most recent cash dividend per share was $5.00. The dividend will grow by the same rate as the company. Stockholders require a return of 20 percent on TSM's common stock. Required: a) Based on the above assumptions, determine the price of TSM's common stock. b) Explain whether an investor should buy the stock.