"Lec 23 - The Mutual Fund Theorem and Covariance Pricing Theorems" Financial Theory (ECON 251) This lecture continues the analysis of the Capital Asset Pricing Model, building up to two key results. One, the Mutual Fund Theorem proved by Tobin, describes the optimal portfolios for agents in the economy. It turns out that every investor should try to maximize the Sharpe ratio of his portfolio, and this is achieved by a combination of money in the bank and money invested in the "market" basket of all existing assets. The market basket can be thought of as one giant index fund or mutual fund. This theorem precisely defines optimal diversification. It led to the extraordinary growth of mutual funds like Vanguard. The second key result of CAPM is called the covariance pricing theorem because it shows that the price of an asset should be its discounted expected payoff less a multiple of its covariance with the market. The riskiness of an asset is therefore measured by its covariance with the market, rather than by its variance. We conclude with the shocking answer to a puzzle posed during the first class, about the relative valuations of a large industrial firm and a risky pharmaceutical start-up. 00:00 - Chapter 1. The Mutual Fund Theorem 03:47 - Chapter 2. Covariance Pricing Theorem and Diversification 25:19 - Chapter 3. Deriving Elements of the Capital Asset Pricing Model 40:25 - Chapter 4. Mutual Fund Theorem in Math and Its Significance 52:36 - Chapter 5. The Sharpe Ratio and Independent Risks 01:04:19 - Chapter 6. Price Dependence on Covariance, Not Variance Complete course materials are available at the Open Yale Courses website: http://open.yale.edu/courses This course was recorded in Fall 2009.
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Lec 2- Utilities, Endowments, and Equilibrium
Lec 4- Efficiency, Assets, and Time
Lec 5- Present Value Prices and the Real Rate of Interest
Lec 6 - Irving Fisher's Impatience Theory of Interest
Lec 7 - Shakespeare's Merchant of Venice and Collateral, Present Value and the Vocabulary of Finance
Lec 8 - How a Long-Lived Institution Figures an Annual Budget. Yield
Lec 10 - Dynamic Present Value
Lec 12 - Overlapping Generations Models of the Economy
Lec 13 - Demography and Asset Pricing: Will the Stock Market Decline when the Baby Boomers Retire?
Lec 14 - Quantifying Uncertainty and Risk
Lec 15 - Uncertainty and the Rational Expectations Hypothesis
Lec 16 - Backward Induction and Optimal Stopping Times
Lec 17 - Callable Bonds and the Mortgage Prepayment Option
Lec 18 - Modeling Mortgage Prepayments and Valuing Mortgages
Lec 19 - History of the Mortgage Market: A Personal Narrative
Lec 21 - Dynamic Hedging and Average Life
Lec 22 - Risk Aversion and the Capital Asset Pricing Theorem
Lec 24 - Risk, Return, and Social Security
Lec 25 - The Leverage Cycle and the Subprime Mortgage Crisis