Mean-absolute deviation portfolio optimization for mortgage-backed securities

Mean-absolute deviation portfolio optimization for mortgage-backed securities

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Article ID: iaor1994850
Country: Switzerland
Volume: 45
Issue: 1/4
Start Page Number: 433
End Page Number: 450
Publication Date: Dec 1993
Journal: Annals of Operations Research
Authors: ,
Keywords: portfolio analysis
Abstract:

The authors develop an integrated simulation/optimization model for managing portfolios of mortgage-backed securities. The mortgage portfolio problem is viewed in the same spirit of models used for the management of portfolios of equities. That is, it trades off rates of return with a suitable measure of risk. In this respect the authors employ a mean-absolute deviation model which is consistent with the asymmetric distribution of returns of mortgage securities and derivative products. They develop a simulation procedure to compute holding period returns of the mortgage securities under a range of interest rate scenarios. The simulation explicitly takes into account the stylized facts of mortgage securities: the propensity of homeowners to prepay their mortgages, and the option adjusted premia associated with these securities. Details of both the simulation and optimization models are presented. The model is then applied to the funding of a typical insurance liability stream, and it is shown to generate superior results than the standard portfolio immunization approach.

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