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ECON 251: Financial Theory

Lecture 17 - Callable Bonds and the Mortgage Prepayment Option. This lecture is about optimal exercise strategies for callable bonds, which are bonds bundled with an option that allows the borrower to pay back the loan early, if she chooses. Using backward induction, we calculate the borrower's optimal strategy and the value of the option. As with the simple examples in the previous lecture, the option value turns out to be very large. The most important callable bond is the fixed rate amortizing mortgage; calling a mortgage means prepaying your remaining balance. We examine how high bankers must set the mortgage rate in order to compensate for the prepayment option they give homeowners. Looking at data on mortgage rates we see that mortgage borrowers often fail to prepay optimally. (from oyc.yale.edu)

Lecture 17 - Callable Bonds and the Mortgage Prepayment Option

Time Lecture Chapters
[00:00:00] 1. Introduction to Callable Bonds and Mortgage Options
[00:12:14] 2. Assessing Option Value via Backward Induction
[00:42:44] 3. Fixed Rate Amortizing Mortgage
[00:57:51] 4. How Banks Set Mortgage Rates for Prepayers

References
Lecture 17 - Callable Bonds and the Mortgage Prepayment Option
Instructor: Professor John Geanakoplos. Transcript [html]. Audio [mp3]. Download Video [mov].

Go to the Course Home or watch other lectures:

Lecture 01 - Why Finance?
Lecture 02 - Utilities, Endowments, and Equilibrium
Lecture 03 - Computing Equilibrium
Lecture 04 - Efficiency, Assets, and Time
Lecture 05 - Present Value Prices and the Real Rate of Interest
Lecture 06 - Irving Fisher's Impatience Theory of Interest
Lecture 07 - Shakespeare's Merchant of Venice and Collateral, Present Value and the Vocabulary of Finance
Lecture 08 - How a Long-Lived Institution Figures an Annual Budget; Yield
Lecture 09 - Yield Curve Arbitrage
Lecture 10 - Dynamic Present Value
Lecture 11 - Social Security
Lecture 12 - Overlapping Generations Models of the Economy
Lecture 13 - Demography and Asset Pricing: Will the Stock Market Decline when the Baby Boomers Retire?
Lecture 14 - Quantifying Uncertainty and Risk
Lecture 15 - Uncertainty and the Rational Expectations Hypothesis
Lecture 16 - Backward Induction and Optimal Stopping Times
Lecture 17 - Callable Bonds and the Mortgage Prepayment Option
Lecture 18 - Modeling Mortgage Prepayments and Valuing Mortgages
Lecture 19 - History of the Mortgage Market: A Personal Narrative
Lecture 20 - Dynamic Hedging
Lecture 21 - Dynamic Hedging and Average Life
Lecture 22 - Risk Aversion and the Capital Asset Pricing Theorem
Lecture 23 - The Mutual Fund Theorem and Covariance Pricing Theorems
Lecture 24 - Risk, Return, and Social Security
Lecture 25 - The Leverage Cycle and the Subprime Mortgage Crisis
Lecture 26 - The Leverage Cycle and Crashes