Problem 1 Consider a two-date economy where there are three states of the world at date 1. Consumption per capita at date 1 will be $5, $10, or $15. A security that pays one unit of consumption next period is worth $8 today. The risk-free security pays a gross return of 1.1. A call option on per capita consumption with an exercise price of $12 costs $1. The probabilities of the three states are 0.3, 0.4, and 0.3, respectively. a. Are markets complete? If yes, what are the state prices? b. Price a put option on per capita consumption with an exercise price of $8. c. Can you derive the risk-neutral probabilities? Problem 1 Consider a two-date economy where there are three states of the world at date 1. Consumption per capita at date 1 will be $5, $10, or $15. A security that pays one unit of consumption next period is worth $8 today. The risk-free security pays a gross return of 1.1. A call option on per capita consumption with an exercise price of $12 costs $1. The probabilities of the three states are 0.3, 0.4, and 0.3, respectively. a. Are markets complete? If yes, what are the state prices? b. Price a put option on per capita consumption with an exercise price of $8. c. Can you derive the risk-neutral probabilities