Cd. Maranas et al., SOLVING LONG-TERM FINANCIAL-PLANNING PROBLEMS VIA GLOBAL OPTIMIZATION, Journal of economic dynamics & control, 21(8-9), 1997, pp. 1405-1425
A significant multi-stage financial planning problem is posed as a sto
chastic program with decision rules. The decision rule - called dynami
cally balanced - requires the purchase and sale of assets at each time
stage so as to keep constant asset proportions in the portfolio compo
sition. It leads to a nonconvex objective function. We show that the r
ule performs well as compared with other dynamic investment strategies
. We specialize a global optimization algorithm for this problem class
- guaranteeing finite E-optimal convergence. Computational results de
monstrate the procedure's efficiency on a real-world financial plannin
g problem. The tests confirm that local optimizers are prone to errone
ously underestimate the efficient frontier. The concepts can be readil
y extended for other classes of long-term investment strategies.