It is 2016 and you notice that there are many television programs about people who "flip" houses. That is, programs in which people buy houses, remodel them, and try to sell them later at a profit. You think that this sounds intriguing and consider buying a house to sell one year later. Assume that this house costs $1M today. Your forecasting model suggests that the market value of the house could take on one of five values next year: $600K, $800K, $1M, $1.2M, or $1.4M. Assume that remodeling the house is costless. a) Suppose that you have $800K in personal cash. To pay for the $1M house, you decide to borrow $200K from the bank. You promise to repay the bank what you borrowed plus 5% interest next year. You plan to sell the house in one year, repay the bank, and keep whatever money is left over. There are five possible values that the house could take on next year. What is the percentage return on your personal cash investment for each of the five possible house values? / b) Suppose instead that you only have $500K in personal cash. To pay for the $1M house, you decide to borrow $500K from the bank. You promise to repay the bank what you borrowed plus 5% interest next year. You plan to sell the house in one year, repay the bank, and keep whatever money is left over. There are five possible values that the house could take on next year. What is the percentage return on your personal investment for each of the five possible house values? c) For each of the previous two questions, graph the percentage return from your personal investment on the y-axis versus the percentage change in the value of the house on the x-axis. For each graph, draw a straight line through the five points. Report which graph has the steeper line and explain why you think this is the case