We consider the problem of maximizing expected utility from terminal wealth in models with stochastic factors. Using martingale methods and a conditioning argument, we determine the optimal strategy for power utility under the assumption that the increments of the asset price are independent conditionally on the factor process.
@article{1287494557,
author = {Kallsen, J. and Muhle-Karbe, J.},
title = {Utility maximization in models with conditionally independent increments},
journal = {Ann. Appl. Probab.},
volume = {20},
number = {1},
year = {2010},
pages = { 2162-2177},
language = {en},
url = {http://dml.mathdoc.fr/item/1287494557}
}
Kallsen, J.; Muhle-Karbe, J. Utility maximization in models with conditionally independent increments. Ann. Appl. Probab., Tome 20 (2010) no. 1, pp. 2162-2177. http://gdmltest.u-ga.fr/item/1287494557/