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Dynamic Present Value

By John Geanakoplos - Yale
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Lecture Description

In this lecture we move from present values to dynamic present values. If interest rates evolve along the forward curve, then the present value of the remaining cash flows of any instrument will evolve in a predictable trajectory. The fastest way to compute these is by backward induction. Dynamic present values help us understand the returns of various trading strategies, and how marking-to-market can prevent some subtle abuses of the system. They explain how mortgages work, why they're called amortizing, and what is meant by the remaining balance. In the second half of the lecture we turn to an important application of present value thinking: an analysis of the troubles facing the Social Security system.

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