2. Suppose that Air New Zealand is currently selling at $2.80 per share. [25 marks] a) You believe that the stock price of Air New Zealand will increase. So you decide to buy 10,000 shares by using $15,000 of your own money and borrowing the remainder ($13,000) of the purchase price from your broker. (i) What is the rate of return on your margined position if the price becomes: (1) $2.50; (2) $2.80; (3) $3.10? [6 marks] (ii) If the maintenance margin is 25%, how low can Air New Zealand's stock price fall before you get a margin call? [3 marks] (iii) How would your answer to the question (ii) in section a), change if you had financed the initial purchase with $20,000 of your own money? [3 marks] b) Suppose that your friend Alex is pessimistic about Air New Zealand's stock perfor- mance. Then he sells short 5,000 shares of Air New Zealand at $2.80 per share, and gives his broker $8,000 to establish his margin account. (i) If Alex earns no interest on the funds in the margin account, what will be his rate of return after 1 year if Air New Zealand stock is selling at: (1) $2.50; (2) $2.80; (3) $3.10? Assume that Air New Zealand pays no dividends. [6 marks] (ii) If the maintenance margin is 25%, how high can Air New Zealand's price rise before Alex gets a margin call? [3 marks] (iii) Redo part (ii) in section b), but now assume that Air New Zealand also has paid a year-end dividend of 4.3 cents per share (1 cent = $0.01). [4 marks]