Consider the following interest rate swap: Company A can borrow from a bank at 8% fixed or LIBOR + 1% floating (borrows fixed); Company B can borrow from a bank at 9.5% fixed or LIBOR + .5% (borrows floating). Company A prefers floating and Company B prefers fixed. By entering into a swap agreement, both A and B are better off than they would be borrowing from the bank with their preferred type of loan, and the swap dealer makes .5%. Please draw the chart of cash flows and show all possible solutions. (40 points)