You have a margin account available to you with initial margin requirements of 70% (170% for short selling). Your maintenance margin is 40% (140% for shorts). Interest is charged at a rate of 6% APR compounded monthly, and you receive interest of 3% APR compounded monthly on all cash deposits. You find that stock X is trading at $50, stock Y at $37, and stock Z at $100. You utilize your margin account to its full capacity. a) Show a balanced-sheet representation of your initial position (4 marks) b) 2 months later, the price of stock X dropped to $30, the price of stock Y rose to $40, and the price of stock Z rose to $130. Will you receive a margin call? (show all your work) (6 marks)