1. Suppose an investment has three possible outcomes. There is a 30% chance that it brings a profit of 22,500. There is a 30% chance that it brings a profit of 10,000. There is a 40% chance that is brings a profit of 0. What is the expected profit (or expected value of the profit) for this investment?

 

2. Continue to suppose an investment has three possible outcomes.  There is a 30% chance that it brings a profit of 22,500. There is a 30% chance that it brings a profit of 10,000. There is a 40% chance that is brings a profit of 0.  Suppose a decision makers utility function can be described by U(w)=w^0.5.  What is the expected utility of this investment?

 

3. Continue to suppose an investment has three possible outcomes. There is a 30% chance that it brings a profit of 22,500. There is a 30% chance that it brings a profit of 10,000. There is a 40% chance that is brings a profit of 0. Suppose a decision makers utility function can be described by U(w)=w^0.5. What is this investment's certainty equivalence for this decision maker?

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