You are interested in 3 stocks: Alpha, Beta, and Vega. You would like to buy 50 shares of stock Alpha, buy 70 shares of stock Beta, and short-sell 100 shares of stock Vega. You have a margin account available to you with initial margin requirements of 60% (160% for short selling). Your maintenance margin is 25% (125% for shorts). Interest is charged at a rate of 12% APR compounded monthly, and you receive interest of 9% APR compounded monthly on all cash deposits. At the present time, stock Alpha is trading at $30, stock Beta at $10, and stock Vega at $40. You utilized your margin account to its full capacity. a) Show a balanced-sheet representation of your initial position (4 marks) b) 4 months later, the price of stock Alpha rose to $31, the price of stock Beta dropped to $5, and the price of stock Vega rose to $50. Will you receive a margin call? (show all your work) (6 marks) You are interested in 3 stocks: Alpha, Beta, and Vega. You would like to buy 50 shares of stock Alpha, buy 70 shares of stock Beta, and short-sell 100 shares of stock Vega. You have a margin account available to you with initial margin requirements of 60% (160% for short selling). Your maintenance margin is 25% (125% for shorts). Interest is charged at a rate of 12% APR compounded monthly, and you receive interest of 9% APR compounded monthly on all cash deposits. At the present time, stock Alpha is trading at $30, stock Beta at $10, and stock Vega at $40. You utilized your margin account to its full capacity. a) Show a balanced-sheet representation of your initial position (4 marks) b) 4 months later, the price of stock Alpha rose to $31, the price of stock Beta dropped to $5, and the price of stock Vega rose to $50. Will you receive a margin call? (show all your work) (6 marks)