An explicit formula for optimal portfolios in complete Wiener driven markets: a functional It\^o calculus approach
Mathematical Finance
2018-01-01 v2
Abstract
We consider a standard optimal investment problem in a complete financial market driven by a Wiener process and derive an explicit formula for the optimal portfolio process in terms of the vertical derivative from functional It^o calculus. An advantage with this approach compared to the Malliavin calculus approach is that it relies only on an integrability condition.
Keywords
Cite
@article{arxiv.1610.05018,
title = {An explicit formula for optimal portfolios in complete Wiener driven markets: a functional It\^o calculus approach},
author = {Kristoffer Lindensjö},
journal= {arXiv preprint arXiv:1610.05018},
year = {2018}
}