Ng. Dokuchaev et Kl. Teo, Optimal hedging strategy for a portfolio investment problem with additional constraints, DYN C D I S, 7(3), 2000, pp. 385-404
Citations number
19
Categorie Soggetti
Engineering Mathematics
Journal title
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS
Consider a portfolio investment problem in a multi-stock diffusion stochast
ic financial market model with random appreciation rates, where additional
constraints are required to be satisfied with probability 1. A general perf
ormance index is introduced. It covers many practically important performan
ce indeces as special cases. Admissible strategies are assumed to use only
observations of market prices. The appreciation rates are not assumed to be
available. An optimal hedging strategy independent of current observation
of the appreciation rates is obtained.