Optimal portfolios for different anticipating integrals under insider information
Abstract
We consider the non-adapted version of a simple problem of portfolio optimization in a financial market that results from the presence of insider information. We analyze it via anticipating stochastic calculus and compare the results obtained by means of the Russo-Vallois forward, the Ayed-Kuo, and the Hitsuda-Skorokhod integrals. We compute the optimal portfolio for each of these cases with the aim of establishing a comparison between these integrals in order to clarify their potential use in this type of problem. Our results give a partial indication that, while the forward integral yields a portfolio that is financially meaningful, the Ayed-Kuo and the Hitsuda-Skorokhod integrals do not provide an appropriate investment strategy for this problem.
Keywords
Cite
@article{arxiv.2007.02316,
title = {Optimal portfolios for different anticipating integrals under insider information},
author = {Carlos Escudero and Sandra Ranilla-Cortina},
journal= {arXiv preprint arXiv:2007.02316},
year = {2021}
}