On multistage Stochastic Integer Programming for incorporating logical constraints in asset and liability management under uncertainty
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- Escudero, L.F., Garín, A., Merino, M. et al. Comput Manag Sci (2009) 6: 307. doi:10.1007/s10287-006-0035-7
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We present a model for optimizing a mean-risk function of the terminal wealth for a fixed income asset portfolio restructuring with uncertainty in the interest rate path and the liabilities along a given time horizon. Some logical constraints are considered to be satisfied by the assets portfolio. Uncertainty is represented by a scenario tree and is dealt with by a multistage stochastic mixed 0-1 model with complete recourse. The problem is modelled as a splitting variable representation of the Deterministic Equivalent Model for the stochastic model, where the 0-1 variables and the continuous variables appear at any stage. A Branch-and-Fix Coordination approach for the multistage 0–1 program solving is proposed. Some computational experience is reported.