You are bullish on Apple Inc. shares which are currently trading at $100 per share. You have borrowed $50,000 to buy it on margin with an initial margin requirement of 50%. The maintenance margin is 30%. The interest rate on borrowed funds is 6% annually. a. How much should you invest out of your own pocket to be able to buy it on margin? (6 pts) b. How far can the stock price fall before you get a margin call? (8 pts) c. If stock price increases by 15% during the next year, what is your rate of return? (6 pts)