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.
This course attempts to explain the role and the importance of the financial system in the global economy. Rather than separating off the financial world from the rest of the economy, financial equilibrium is studied as an extension of economic equilibrium. The course also gives a picture of the kind of thinking and analysis done by hedge funds.
As one of the world's great universities, Yale traces its roots back to the early 1640s when colonial clergyman sought to establish a school in order to continue the tradition of European education within the Americas. Yale has now grown to educate over 11,000 students from over 100 countries on a 310-acre campus in New Haven, Connecticut. Within the school's 260 buildings are over 2,000 undergraduate programs in 65 departments taught by a distinguished faculty. As Academic Earth's first partner school, Yale has been a leader within the space of OpenCourseWare by consistently delivering on its esteemed mission to expand access to educational materials for all who wish to learn.