Let A and B be two risky assets. If you choose A, you will get 64TL by 30% chance, or 1TL by 70% chance. If you choose B, you will get 25TL by 40% chance or 9TL by 60% chance. First assume that you make a choice without making any detailed research or getting any consultancy. Draw a decision tree representing this situation and find the optimal investment decision for a risk neutral agent. What would be the choice of a risk averse agent between the two investment options? Explain (you can assume a representative utility function for the agent).

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter15: Decision Analysis
Section: Chapter Questions
Problem 25P: Consider a decision maker who is comfortable with an investment decision that has a 50% chance of...
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Let A and B be two risky assets. If you choose A, you will get 64TL by 30% chance, or 1TL by 70% chance. If you choose B, you will get 25TL by 40% chance or 9TL by 60% chance. First assume that you make a choice without making any detailed research or getting any consultancy.

  1. Draw a decision tree representing this situation and find the optimal investment decision for a risk neutral agent.
  2. What would be the choice of a risk averse agent between the two investment options? Explain (you can assume a representative utility function for the agent).
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