As a winner of a breakfast cereal competition, you can choose one of the following prizes: (a) $100,000 now (b) $180,000 at the end of 5 years (C ) $11,400 a year forever (d) $19,000 for each of 10 years (e) $6500 next year and increasing thereafter by 5 percent a year forever. If the opportunity cost of capital is 12 percent, which is the most valuable prize? Show work.