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. Are markets complete? If yes, what are the state prices? a. b. Price a put option on per capita consumption with an exercise price of $8. Can you derive the risk-neutral probabilities? c.
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. Are markets complete? If yes, what are the state prices? a. b. Price a put option on per capita consumption with an exercise price of $8. Can you derive the risk-neutral probabilities? c.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![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.
с.
Can you derive the risk-neutral probabilities?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fceca94d7-5e38-4955-a2ff-aa3c6191e172%2F5f7c89d9-219f-4ad4-a3ac-8e4cf39bebe1%2Fznvfa3_processed.png&w=3840&q=75)
Transcribed Image Text: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.
с.
Can you derive the risk-neutral probabilities?
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