As winner of a breakfast cereal competition, you can choose one of the following prizes: a. $180,000 at the end of five years. b. $11,400 a year forever. c. $19,000 for each of 10 years. d. $6,500 next year and increasing thereafter by 5% a year forever. Assume that the discount rate is 12%. i. (20 pts) Write down the discounted cash flow equation for each option.