Characterization of Fully Coupled FBSDE in Terms of Portfolio Optimization
Mathematical Finance
2019-10-01 v4
Abstract
We provide a verification and characterization result of optimal maximal sub-solutions of BSDEs in terms of fully coupled forward backward stochastic differential equations. We illustrate the application thereof in utility optimization with random endowment under probability and discounting uncertainty. We show with explicit examples how to quantify the costs of incompleteness when using utility indifference pricing, as well as a way to find optimal solutions for recursive utilities.
Keywords
Cite
@article{arxiv.1703.02694,
title = {Characterization of Fully Coupled FBSDE in Terms of Portfolio Optimization},
author = {Samuel Drapeau and Peng Luo and Dewen Xiong},
journal= {arXiv preprint arXiv:1703.02694},
year = {2019}
}