An investor is considering purchasing one of the following three stocks. Stock X has a market capitalization of $$7$ billion, pays a relatively high dividend with little increase in earnings, and has a P$/$E ratio of $12.$ Stock Y has a market capitalization of $$64$ billion but does not currently pay a dividend. Stock Y has a P$/$E ratio of $40.$ Stock Z$,$ a housing industry company, has a market capitalization of $$800$ million and a P$/$E of $20.$

a$.$ Classify these stocks according to their market capitalizations.

b$.$ Which of the three would you classify as a growth stock? Why?

c$.$ Which stock would be most appropriate for an aggressive investor?

d$.$ Which stock would be most appropriate for someone seeking a combination of safety and earnings?