$2.$ You own shares of Cyberdyne Systems. This morning, those shares were trading for $$60$ per share. Lockheed Martin announces that they plan to purchase Cyberdyne Systems by buying all outstanding shares of Cyberdyne Systems for $$70$ one year from today. Additionally, Cyberdyne had previously announced a dividend to be paid one year from today for $$3$ per share. The dividend will be paid before Lockheed Martin closes the deal. Assume that with certainty Lockheed Martin will purchase Cyberdyne.

a$.$ What is the expected dividend yield of Cyberdyne?

b$.$ What is the expected capital gain rate of Cyberdyne?

c$.$ What is the expected return of owning Cyberdyne stock over the next year?

d$.$ If the expected return of Cyberdyne did not change after the purchase announcement, what do you expect the price of Cyberdyne to be $6$ months from now?