Jovan believes the share price of Zeta Corp. is too high and decides to sell 4,000 shares short when the price is $37. The margin requirement for Zeta is 50%. a. How much margin must Jovan have in his account for the short sale? (1 mark) b. Assume Jovan posts the minimum margin. The shares drop by 20% and Jovan thinks about covering his short position. If Jovan does cover the short position, how much will he have made on this transaction, before interest and commission costs? (2 marks) c. Assume Jovan does not cover his share position. Zeta's shares begin to rise. The shares rise all the way to $41. How much additional margin will Jovan need to post? (3 marks) d. Assume that when the shares rise to $41, Jovan is unable to post any additional margin. What is the minimum number of shares that must be purchased to bring Jovan's account back to the margin requirement? ( 3 marks)