Mortgage-prepayment risk underlies the structuring of mortgage-backed
derivative securities, such as tranched real estate mortgage investmen
t conduits. This prepayment comes either from mortgage termination or
from curtailment, where the borrower retains the existing mortgage and
prepays a portion. There are differences in cash flows from the two t
ypes of prepayment. In termination, the loan disappears from a pool, a
nd the scheduled payment to investors in the pool is reduced. In curta
ilment, the loan survives, and the scheduled payment is unchanged but
the term is reduced. There are implications for structuring mortgages
and derivative securities. The prepayment decision is embedded in an i
ntertemporal household utility maximization framework where choices ar
e made between refinancing, making the regular payment, default or cur
tailment. Empirical results are presented for Government National Mort
gage Association (GNMA) pools, and an algorithm is presented that sepa
rates the termination and curtailment components, facilitating the dev
elopment of derivative securities.