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Immunization and max-min optimal control
Journal article   Peer reviewed

Immunization and max-min optimal control

Luca Ghezzi
Journal of optimization theory and applications, Vol.95(3, December 1997), pp.701-711
1997
Scopus ID: 2-s2.0-0031315832
Web of Science ID: WOS:000071599400013

Abstract

A model of a term structure of interest rates is conceived in which disturbances are unknown and bounded. Arbitrage opportunities are ruled out by imposing suitable constraints to the disturbances. This sets the stage for casting a well-known immunization problem as a max-min optimal control problem. Dynamic programming is then used to obtain the analytical solution to such a problem. In this manner, a well-known immunization policy is proved to be optimal in a dynamic setting.

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