Mortgage Loan Portfolio Optimization Using Multi-Stage Stochastic Programming

Kourosh Marjani Rasmussen, Jens Clausen

AbstractWe consider the dynamics of the Danish mortgage loan system and
propose several models to reflect the choices of a mortgagor as well as
his attitude towards risk. The models are formulated as multi stage
stochastic integer programs, which are difficult to solve for more than
10 stages. Scenario reduction and LP relaxation are used to obtain
near optimal solutions for large problem instances. Our results show
that the standard Danish mortgagor should hold a more diversified
portfolio of mortgage loans, and that he should rebalance the portfolio
more frequently than current practice.
KeywordsMortgage backed securities, Stochastic programming, Scenario reduction
TypeJournal paper [With referee]
JournalJournal of economic dynamics and control
Year2007    Vol. 31    No. 3    pp. 742-766
Electronic version(s)[pdf]
BibTeX data [bibtex]
IMM Group(s)Operations Research