Abstract

Journal of Actuarial Practice

Volume 5, Number 2, 1997


Dynamic Immunization and Transaction Costs With Different Term Structure Models

Eliseo Navarro and Juan M. Nave

Abstract

A bond portfolio selection model is developed in a dynamic framework using different term structures, but without transactions costs. We show that the optimal portfolios are consistent with Khang’s dynamic immunization theorem, i.e., the optimal path consists of making portfolio duration equal to the investor’s horizon planning period. The model is then extended to include transaction costs. The resulting optimal portfolios are no longer consistent with Khang’s dynamic immunization theorem. In fact, the strategy for constructing the optimal portfolio consists of initially choosing a portfolio with a duration that is smaller than the horizon planning period.

Key words and phrases: bond, portfolio, planning period, strategy, risk, interest rate, stochastic

Eliseo Navarro
Universidad de Castilla-La Mancha,
Area de Economía Financiera,
Plaza de la Universidad, 1,
E-02071 Albacete,
SPAIN

Juan M. Nave
Universidad de Castilla-La Mancha,
Area de Economía Financiera,
Plaza de la Universidad, 1,
E-02071 Albacete,
SPAIN


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