(12 marks) Marlene purchased 3000 shares of company A at $5.50 per share using a margin loan to finance 40% of the purchase. She held the shares for exactly four months and sold them without any brokerage costs at the end of that period. During the four-month holding period, the shares paid $0 15 per share in cash dividends. Marlene was charged 9% annual interest on the margin loan. The maximum loan to value ratio allowed by the margin lender was 75% Required: a. Calculate the initial value of the transaction, the margin loan balance and the equity position on Marlene's transaction. (3 marks) b. If the share price drops to $3.30, calculate the actual margin loan to value percentage. (3 marks) c. Calculate the dollar amount of dividends received and interest paid on the margin loan during the four-month holding period. (3 marks) d. If the share prices increases to $7 at the end of the four-month holding period, please calculate (3 marks) Marlene's annualized rate of return on the share transaction