"Lec 18 - Modeling Mortgage Prepayments and Valuing Mortgages" Financial Theory (ECON 251) A mortgage involves making a promise, backing it with collateral, and defining a way to dissolve the promise at prearranged terms in case you want to end it by prepaying. The option to prepay, the refinancing option, makes the mortgage much more complicated than a coupon bond, and therefore something that a hedge fund could make money trading. In this lecture we discuss how to build and calibrate a model to forecast prepayments in order to value mortgages. Old fashioned economists still make non-contingent forecasts, like the recent predictions that unemployment would peak at 8%. A model makes contingent forecasts. The old prepayment models fit a curve to historical data estimating how sensitive aggregate prepayments have been to changes in the interest rate. The modern agent based approach to modeling rationalizes behavior at the individual level and allows heterogeneity among individual types. From either kind of model we see that mortgages are very risky securities, even in the absence of default. This raises the question of how investors and banks should hedge them. 00:00 - Chapter 1. Review of Mortgages 03:20 - Chapter 2. Complications of Refinancing Mortgages 19:26 - Chapter 3. Non-contingent Forecasts of Mortgage Value 28:40 - Chapter 4. The Modern Behavior Rationalizing Model of Mortgage Value 54:07 - Chapter 5. Risk in Mortgages and Hedging 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 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 23 - The Mutual Fund Theorem and Covariance Pricing Theorems
Lec 24 - Risk, Return, and Social Security
Lec 25 - The Leverage Cycle and the Subprime Mortgage Crisis