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Risk Aversion and the Capital Asset Pricing Theorem

By John Geanakoplos - Yale
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Lecture Description

Until now we have ignored risk aversion. The Bernoulli brothers were the first to suggest a tractable way of representing risk aversion. They pointed out that an explanation of the St. Petersburg paradox might be that people care about expected utility instead of expected income, where utility is some concave function, such as the logarithm. One of the most famous and important models in financial economics is the Capital Asset Pricing Model, which can be derived from the hypothesis that every agent has a (different) quadratic utility. Much of the modern mutual fund industry is based on the implications of this model. The model describes what happens to prices and asset holdings in general equilibrium when the underlying risks can't be hedged in the aggregate. It turns out that the tools we developed in the beginning of this course provide an answer to this question.

Course Description

Course Index

  1. Why Finance?
  2. Utilities, Endowments, and Equilibrium
  3. Computing Equilibrium
  4. Efficiency, Assets, and Time
  5. Present Value Prices and the Real Rate of Interest
  6. Irving Fisher's Impatience Theory of Interest
  7. Collateral, Present Value and the Vocabulary of Finance
  8. Budgeting for a Long-Lived Institution, Yield
  9. Dynamic Present Value
  10. Social Security
  11. Overlapping Generations Models of the Economy
  12. Demography and Asset Pricing
  13. Quantifying Uncertainty and Risk
  14. Uncertainty and the Rational Expectations Hypothesis
  15. Backward Induction and Optimal Stopping Times
  16. Callable Bonds and the Mortgage Prepayment Option
  17. Modeling Mortgage Prepayments and Valuing Mortgages
  18. History of the Mortgage Market: A Personal Narrative
  19. Dynamic Hedging
  20. Dynamic Hedging and Average Life
  21. Risk Aversion and the Capital Asset Pricing Theorem
  22. The Mutual Fund Theorem and Covariance Pricing Theorems
  23. Risk, Return, and Social Security
  24. The Leverage Cycle and the Subprime Mortgage Crisis
  25. The Leverage Cycle and Crashes