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                                21. Utility theory and mean variance
- Dr. Norvald Instefjord
 
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Printable Handouts
Navigable Slide Index
- Introduction
 - Utility theory and mean variance
 - Part I
 - Rationality of utility functions
 - Completeness and reflexivity
 - Transitivity and independence
 - Continuity
 - Dominance
 - Example for rationality criteria
 - Expected utility
 - Violation of rationality criteria
 - Example for violation
 - Application of independence criterion
 - State-dependent and -independent utility functions
 - Summary of part I
 - Part II
 - Utility functions for money
 - Risk aversion
 - Risk neutrality and risk loving
 - Risk premium and insurance premium
 - Definitions
 - Example for insurance premium
 - Illustration of insurance premium
 - Jensen's inequality and Arrow-Pratt's result
 - Absolute risk aversion coefficient
 - Example for absolute coefficient
 - Full Arrow-Pratt's result (1)
 - Full Arrow-Pratt's result (2)
 - Relative risk aversion coefficient
 - Usefullness of two types of coefficients
 - Risk tolerance
 - Broad vs. narrow classification of risk attitudes
 - CARA function
 - Decreasing absolute risk aversion
 - CRRA function
 - Global risk aversion
 - Example for global risk aversion
 - Example of CARA utility and normal distribution
 - Summary of part II
 - Part III
 - Optimal asset allocation
 - Two-fund separation
 - Variance aversion
 - Example with A(x)=2
 - Mean-variance framework
 - Asset allocation and portfolio separation
 - Local risk neutrality
 - Restrictions on preferences
 - CARA and CRRA utilities
 - Changing relative risk aversion
 - Distributional assumptions on asset returns
 - Two-fund separation
 - Summary of part III
 - Conclusions
 
Topics Covered
- Expected utility representation of preferences
 - Rationality criteria
 - State independent utility
 - Risk averse behavior
 - Risk and insurance premium
 - Arrow-Pratt's absolute risk aversion coefficient
 - Risk aversion and small risk
 - Relative risk aversion coefficient
 - Risk tolerance
 - CARA utility
 - CRRA utility
 - Risk aversion and large risk
 - Utility and variance measures of risk
 - Variance aversion and two fund separation
 - Local risk neutrality
 - Marginal utility and two fund separation
 - Factor structure and two fund separation
 
Talk Citation
Instefjord, N. (2007, October 1). Utility theory and mean variance [Video file]. In The Business & Management Collection, Henry Stewart Talks. Retrieved November 4, 2025, from https://doi.org/10.69645/MUSM6258.Export Citation (RIS)