Problem 2: (40 points) The table below shows a company's cash flow in the next six months 1 2 3 -200 100 -150 4 5 50 6 -300 600 The company needs to borrow from an existing credit line and issue commercial papers to keep its net cash position in each month from falling below zero. Decisions are made under the following conditions: 1. The company starts from a clean slate, i.e., the cash position, outstanding commercial papers, and credit line balance are all zero at the beginning of month 1. 2. The credit line has a borrowing limit of 100 and charges an interest 2% each month. 3. Five different commercial papers can be issued. Their (issue date, retire- ment date, coupon rate) are respectively: (1,2,1%), (1,4,5%), (2,5,4%), (3,6,5%), and (4,6,3%). 4. The company gets 0.5% interest on positive cash balance carried over from one month to the next. 5. The company plans to pay off all its debts at the end of month 6. 6. The company wants to maximizes its net cash position after month 6.