Joe investor has noted that the current price of MG company is 61.50 and that its current P/E ratio is 15 and it's current payout ratio for dividends is 40%. Based on his analysis of the next three years, Joe anticipates the dividiend annual compound growth rate to be 6% and the earnings growth rate to be 8%. He expectes the stock to sell at a P/E ratio of 16 at the end of the third year. During the three year investment horizon, joe requires a 16% rate of return.

A) Based on joe's expectations, what is the fair price for the stock today?

b) should joe buy the stock?