PRESENTATION OUTLINE

 

  1. EXPONENTIAL UTILITY BASICS
     
    1. The Exponential Utility Function
    2. The Risk Tolerance
    3. Certain Equivalent Definition
    4. Value Additivity
    5. CE-Value Functions Defined
    6. Closed form CE-Value Functions
    7. CE-Value Functions requiring numerical methods
    8. CE-Value Function Library
       
  2. PORTFOLIO OPTIMIZATION via CE-VALUE MAXIMIZATION
     
    1. The Normal Case Revisited
    2. Concept Generalization:  Parametric Analysis on Risk Tolerance
    3. The Asymmetric Case with bounded Downside Risk
    4. Multiple Scenario Optimization
    5. The Maximal CE-Value Frontier (generalizes Mean-Variance Efficient Frontier)
       
  3. COMPUTATIONAL EXPERIMENTS
     
    1. Normal vs. Portfolio Gamma Model Results
    2. Multiple Scenario Optimization Results
    3. Lognormal Models Results
       
  4. CONCLUSIONS

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